Quizzes for Superlesson 1-1
Quiz on 1-1A
Name _________________________
Draw a number line to show points
1. exactly 4 units from the origin.
1.
2. exactly 2 units from the point whose coordinate is 1.
2.
3. 2 units or less from the point whose coordinate is 0.
3.
4. 3 units or less from the point whose coordinate is –1.
4.
Quiz on 1-1B
Name _________________________
5
y
A
B
25
5
x
1. Give coordinates of point A.
1. _____________________
2. Give coordinates of point B.
2. _____________________
3. The vertices of triangle CDE
are C(2, –1), D(2, 3), and
E(–2, 0). Draw the triangle on
the coordinate grid.
3. Use the coordinate grid to
the left.
25
The directions locate a point. Start from the origin and give its coordinates.
4. right 2, down 4
4. ________
5. left 2, up 3, down 1
Quiz on 1-1C
A
1
2
3
4
5
6
Jane
Paul
Michelle
Carl
Total
5. ________
Name ________________________
B
Week 1
27
12
32
21
92
C
Week 2
19
18
34
18
89
D
Total
46
30
66
39
The table shows how many hours 4 employees have worked. In which cell would you find
1. the number of hours Paul worked in the first week?
1. _____________________
2. the greatest number of hours worked by an employee in 1 week? 2. _____________________
3. the total number of hours Michelle worked?
3. _____________________
4. the total number of hours worked in the second week?
4. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
1
Name _____________________________
Test 1-1 Form A
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
1. On a circular grid showing a plane’s position, what would
(21, 192°) mean?
1. _____________________
2. Use the number line to graph points whose coordinates are less
than three and greater than –2.
2.
3. The directions locate a point. Start from the origin and give its
coordinates.
3.a. ____________________
24 2322 21 0
1 2 3 4
3.b. ____________________
a. left 3, down 4
b. right 1, up 2
c. right 3, down 1
3.c. ____________________
4. What are the coordinates of the point 2 units left and 3 units
above the point (1, 2)?
4. _____________________
5. Which of the following describes the point (0, 0)?
(a) x-axis (b) origin (c) y-axis (d) coordinate grid
5. _____________________
6. Draw the triangle ABC with vertices A(–1, –2), B(3, 0),
and C(2, 2).
6.
5
y
25
5
x
25
The chart displays some facts about 4 cities.
A
1
B
C
D
E
F
City 1
City 2
City 3
City 4
Total
2
Population
60,000
150,000
140,000
110,000
460,000
3
Area (mi2)
24
50
75
43
192
7. In which cell would you find
a. the population of the city with the greatest area?
7.a. ____________________
b. the total population of the cities?
7.b. ____________________
8. What information does B2 + D2 provide?
2
AWSM Foundations of Algebra and Geometry
8. _____________________
© Addison Wesley Longman
Name _____________________________
Test 1-1 Form B
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
1. On a circular grid showing a plane’s position, what would
(35, 243°) mean?
1. _____________________
2. Use the number line to graph points whose coordinates are less
than two and greater than –1.
2.
3. The directions locate a point. Start from the origin and give its
coordinates.
3.a. ____________________
24 2322 21 0
1 2 3 4
3.b. ____________________
a. right 4, up 3
b. left 2, up 1
c. right 3, down 2
3.c. ____________________
4. What are the coordinates of the point 5 units right and 2 units
below the point (2, 1)?
4. _____________________
5. Which of the following is a vertical line?
(a) x-axis (b) origin (c) y-axis (d) coordinate grid
5. _____________________
6. Draw the triangle ABC with vertices A(–3, 2), B(4, 3),
and C(2, –1).
6.
5
y
25
5
x
25
The chart displays some facts about 4 cities.
A
1
B
C
D
E
F
City 1
City 2
City 3
City 4
Total
2
Population
40,000
90,000
160,000
120,000
410,000
3
Area (mi 2)
46
83
64
69
262
7. In which cell would you find
a. the population of the city with the greatest area?
7.a. ____________________
b. the total area of the cities?
7.b. ____________________
8. What information does C2 + E2 provide?
© Addison Wesley Longman
8. _____________________
AWSM Foundations of Algebra and Geometry
3
Quizzes for Superlesson 1-2
Quiz on 1-2A
Name _________________________
Expenditure on Budget Areas
F
27%
E 4%
A
31%
D
B
8%
C 12%
18%
1. What percentage of the budget is spent on area C?
1. _____________________
2. What percentage of the budget is spent on areas B and D?
2. _____________________
3. What area shows the greatest amount of expenditure?
3. _____________________
4. What area shows half of the amount of expenditure of area D?
4. _____________________
5. What percentage of the budget is spent on areas A and F?
5. _____________________
6. About what percentage of each circle is shaded?
a.
b.
6.a. ___________________
6.b. ___________________
Quiz on 1-2B
Name _________________________
What is a convenient interval to use for graphing each set of data?
1. 250; 400; 350; 600
1. _____________________
2. 0.8; 1.4; 2.0; 2.6
2. _____________________
Month
Maximum temperature (°F)
March
56°
April
62°
May
73°
June
88°
July
95°
3. How many intervals will you need on the month axis?
3. _____________________
4. In what month did the highest maximum temperature occur?
4. _____________________
5. What title would you use for a bar graph of this data table?
5. _____________________
4
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 1-2 (continued)
Quiz on 1-2C
Name _________________________
Videos sold
200
150
100
50
0
Nov Dec
Jan Feb Mar
Month
1. Did sales increase or decrease from January to February?
1. _____________________
2. What is the interval on the vertical axis?
2. _____________________
3. Did sales increase or decrease from November to December?
3. _____________________
4. Estimate the number of sales in March.
4. _____________________
5. What month shows the lowest number of video sales?
5. _____________________
Quiz on 1-2D
Name _________________________
One house represents 20 families.
Draw a pictograph to show
1. 50 families
1.
2. 80 families
2.
3. A sun represents 10 days. What does this show?
3. _____________________
4. Draw a pictograph to show 15 days. Be sure you describe or
show a key.
© Addison Wesley Longman
4.
AWSM Foundations of Algebra and Geometry
5
Name _____________________________
Test 1-2 Form A
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
A student made a circle graph showing the fractions of spending
money used for various forms of entertainment.
Books Music
35% 41%
10% 14%
Videos Movies
1. What percentage of spending money does the student spend on
music?
1. _____________________
2. What fraction of spending money does the student spend on
movies and videos?
2. _____________________
Month
Average temperature (°F)
April
67°
May
76°
June
91°
July
105°
3. What interval would you use for the temperature axis of a bar
graph of the data in the table?
4. What information is displayed on the horizontal axis of a
vertical bar graph of the data in the table?
Telephones sold
120
90
60
30
0
3. _____________________
4. _____________________
5. Did sales increase or
decrease from February to
March?
5. _____________________
6. What is the interval on the
vertical axis?
6. _____________________
Jan Feb Mar Apr May
Month
7. A moon represents 2 hours of sleep.
What does this graph show?
7. _____________________
8. Draw a graph to represent 8 hours of sleep.
8.
9. A
is a visual display that uses a key and symbols but
does not depend on words.
(a) pictograph
6
(b) circle graph
(c) bar graph
AWSM Foundations of Algebra and Geometry
(d) not here
9. _____________________
© Addison Wesley Longman
Name _____________________________
Test 1-2 Form B
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
A student made a circle graph showing the fractions of spending
money used for various forms of entertainment.
Books Music
35% 41%
10% 14%
Videos Movies
1. What percentage of spending money does the student spend on
books?
1. _____________________
2. What fraction of spending money does the student spend on
music and videos?
2. _____________________
Year
Profit
1993
$6800
1994
$7300
1995
$8300
1996
$9500
3. What interval would you use for the profit axis of a bar graph of
the data in the table?
4. What information is displayed on the horizontal axis of a
vertical bar graph of the data in the table?
Radios sold
160
120
80
40
0
3. _____________________
4. _____________________
5. Did sales increase or
decrease from March to
April?
5. _____________________
6. What is the interval on the
vertical axis?
6. _____________________
Jan Feb Mar Apr May
Month
7. A happy face represents 8 people. What
does this graph show?
7. _____________________
8. Draw a graph to represent 24 people.
8.
9. A
is a visual display that uses wedge-shaped pieces to
model the sizes of the parts.
(a) pictograph
© Addison Wesley Longman
(b) circle graph
(c) bar graph
(d) not here
9. _____________________
AWSM Foundations of Algebra and Geometry
7
Quizzes for Superlesson 1-3
Quiz on 1-3A
Name ___________________________
Charles recorded the maximum temperature for five days:
74°, 79°, 82°, 80°, and 75°.
1. What is the median temperature?
1. _____________________
2. What is the mean temperature?
2. _____________________
3. What is the range?
3. _____________________
For the values 127, 84, 92, 105, 92, and 97:
4. What is the median?
4. _____________________
5. What is the mode?
5. _____________________
Quiz on 1-3B
Stem
20
19
18
17
16
Name ___________________________
Leaf
0005
00169
007788899
1558999
899
The stem-and-leaf diagram shows the price of compact disc players.
1. How many compact disc players cost $179?
1. _____________________
2. How many compact disc players cost from $180 to $190?
2. _____________________
3. How many compact disc players cost less than $170?
3. _____________________
4. What is the price of the most expensive compact disc player?
4. _____________________
8
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 1-3 (continued)
Quiz on 1-3C
Name ___________________________
The scatter plot compares the heights of sons and fathers.
Height of fathers (inches)
80
76
72
68
64
60
60
64 68
72 76 80
Height of sons (inches)
1. What is plotted on the horizontal axis?
1. _____________________
2. What is the actual height of the father whose son is 73 in. tall?
2. _____________________
3. What is the actual height of the son whose father is 76 in. tall?
3. _____________________
4. Use the trend line to predict the height of a father whose son is
82 in. tall.
4. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
9
Name _____________________________
Test 1-3 Form A
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
For the values 31, 21, 33, 24, 23, 21, 36
1. What is the mean?
2. What is the median?
3. Find the range and mode.
1. ________
2. ________
3. range ______________
mode ______________
4. Which measure of central tendency best represents the data?
4. _____________________
A store owner records the amount of money in dollars spent by 15 customers in the store: 31, 57, 12,
18, 41, 37, 24, 32, 29, 48, 24, 29, 38, 22, 20.
5. Make a stem-and-leaf diagram of the number of dollars spent by 5.
customers.
6. How many customers spent from $20 to $30?
6. _____________________
The scatter plot compares the heights and weights of 18 men.
Weight (in pounds)
240
220
200
180
160
140
60
64 68
72 76
Height (in inches)
80
7. How tall is the man whose weight is 210 lbs?
7. _____________________
8. Use the trend line to estimate the weight of a 71-inch tall man.
8. _____________________
9. A _______________ is a graph of ordered pairs made of
corresponding numbers in two sets of data.
(a) scatter plot
(b) trend line
(c) stem-and-leaf diagram
(d) not here
9. _____________________
10
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 1-3 Form B
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
For the values 14, 17, 21, 17, 25, 83, 19:
1. What is the mean?
2. What is the median?
3. Find the range and mode.
1. ________
2. ________
3. range ______________
mode ______________
4. Which measure of central tendency best represents the data?
4. _____________________
A store owner records the amount of money in dollars spent by 15 customers in the store: 46, 17, 36,
23, 52, 28, 13, 37, 40, 21, 16, 58, 36, 38, 21
5. Make a stem-and-leaf diagram of the number of dollars spent by 5.
customers.
6. _____________________
6. How many customers spent from $30 to $40?
The scatter plot compares the heights and weights of 18 men.
Weight (in pounds)
240
220
200
180
160
140
60
64 68
72 76
Height (in inches)
80
7. How tall is the man whose weight is 165 lbs?
7. _____________________
8. Use the trend line to estimate the weight of a 65-inch tall man.
8. _____________________
9. A _______________ is a display that organizes data in a table
to show its shape and distribution.
(a) scatter plot
(b) trend line
(c) stem-and-leaf diagram
(d) not here
9. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
11
[Page 12 is blank.]
Name _____________________________
Chapter 1 Test Form A
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
1. It was 46°F one morning and 72°F at 2:30 p.m.
a. Show these two temperatures on a number line.
1.a.
b. How much did the temperature rise during the day?
1.b. ____________________
c. Where on the number line will you find the coordinates for
temperatures colder than 90°F and warmer than 15°F?
1.c.
2. a. Plot on the graph and label the points A(2, –1), B(0, 3), and
C(–3, 2).
2. a.–b.
5
y
b. Plot and label the point D which is 2 units right and one unit
up from point A.
c. Which of the points A, B, C, or D lies on the horizontal axis?
25
5
x
25
2.c. ____________________
3. The table shows Val’s scores on 5 tests. The mean value is to be calculated in cell G2.
1
2
A
Test
Score
B
1
82
C
2
91
D
3
85
E
4
89
F
5
96
G
Mean
a. Which cell shows Val’s score on Test 4?
3.a. ____________________
b. In which cell would you find Val’s score on Test 1?
3.b. ____________________
c. Which cells would you use to find her total score?
3.c. ____________________
d. Find the value for cell G2.
3.d. ____________________
4. Use the circle graph to answer the
questions about Jon’s studying.
a. What percentage of study time
does Jon spend on Language?
b. Which 2 subjects together make
up half of Jon’s study time?
© Addison Wesley Longman
Other
6%
History
16%
Math
Language
34%
28%
16%
Science
4.a. ____________________
4.b. ____________________
AWSM Foundations of Algebra and Geometry
13
Chapter 1 Test Form A (continued)
Name _____________________________
5. Seven brands of shirts at a store are priced at $17.95, $14.25,
$22.05, $16.90, $18.55, $17.95, and $15.75. Find the range,
mode, and median of the prices.
5. range ________________
mode ________________
median _______________
6. Mike made a pictograph to display how many games remained
in the basketball season.
Each symbol = 4 games
7.
a. How many games remain in the season?
6.a. ____________________
b. How many basketballs should be drawn to represent 38
games?
6.b. ____________________
The advisors of a group of debate teams answered a survey after the last debate of the year.
This grid shows the results of the survey.
Number of debates won
20
16
12
8
4
a. How many hours per day
did the team that won 17
debates practice?
7.a. ____________________
b. A team practices 2 hours
per day next season.
Estimate the number of
debates the team will win.
7.b. ____________________
0
1
2
3
4
5
Number of hours of practice per day
8. Maximum temperatures are given in the table below. Make a
bar graph to show this information.
14
Date
Temperature
May 2
84°
May 4
79°
May 6
78°
AWSM Foundations of Algebra and Geometry
8.
© Addison Wesley Longman
Name _____________________________
Chapter 1 Test Form B
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
1. It was 50°F one morning and 83°F at 1:15 p.m.
a. Show these two temperatures on a number line.
1.a.
b. How much did the temperature rise during the day?
1.b. ____________________
c. Where on the number line will you find the coordinates for
temperatures colder than 95°F and warmer than 31°F?
1.c.
2. a. Plot on the graph and label the points A(–3, –1), B(2, 0), and
C(4, 1).
2. a.–b.
5
y
b. Plot and label the point D which is 3 units right and 2 units
up from point A.
c. Which of the points A, B, C, or D lies on the horizontal axis?
25
5
x
25
2.c. ____________________
3. The table shows Chris’s scores on 5 tests. The mean value is to be calculated in cell G2.
1
2
A
Test
Score
B
1
91
C
2
87
D
3
79
E
4
98
F
5
84
G
Mean
a. Which cell shows Chris’s score on Test 2?
3.a. ____________________
b. In which cell would you find Chris’s score on Test
3?
3.b. ____________________
c. Which cells would you use to find his total score?
3.c. ____________________
d. Find the value for cell G2.
3.d. ____________________
4. Use the circle graph to answer the
questions about Jenny’s studying.
4.a. ____________________
a. What percentage of study time does
Jenny spend on History?
b. Which 2 subjects together make up
half of Jenny’s study time?
© Addison Wesley Longman
Language Math
19% 31%
History
15%
22%
13% Other
Science
4.b. ____________________
AWSM Foundations of Algebra and Geometry
15
Chapter 1 Test Form B (continued)
Name _____________________________
5. Seven brands of shirts at a store are priced at $16.55, $12.95,
$17.35, $12.95, $19.81, $13.98, and $18.65. Find the range,
mode, and median of the prices.
5. range ________________
mode ________________
median _______________
6. Elaine made a pictograph to display how many games remained
in the basketball season.
Each symbol = 4 games
7.
a. How many games remain in the season?
6.a. ____________________
b. How many basketballs should be drawn to represent 26
games?
6.b. ____________________
The advisors of a group of debate teams answered a survey after the last debate of the year.
This grid shows the results of the survey.
Number of debates won
20
16
12
8
4
a. How many hours per day
did the team that won 14
debates practice?
7.a. ____________________
b. A team practices 4 hours
per day next season.
Estimate the number of
debates the team will win.
7.b. ____________________
0
1
2
3
4
5
Number of hours of practice per day
8.
8. Maximum temperatures are given in the table below. Make a
bar graph to show this information.
16
Date
Temperature
August 5
68°
August 10
63°
August 15
71°
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Chapter 1
Performance Task
Date ______________________________
Glenna and Hannah are twin sisters who graduated from college in l970. Glenna went into real estate
and Hannah went to work in a department store. The graph below shows their annual incomes over
those 25 years.
Income Comparison
Income
80,000
60,000
Hannah's income
40,000
20,000
Glenna's income
'70
'75
'80 '85
Year
'90
'95
Make a spreadsheet showing the information in the graph. Then, make a bar graph showing the annual
income for only one of the women. Use ideas presented in this chapter, and list any other information
you can get from the spreadsheet and graphs.
Write a paragraph that explains what information you get from the graphs and spreadsheet.
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
17
Quizzes for Superlesson 2-1
Quiz on 2-1A
Name _________________________
Give the answer that your calculator screen shows for each calculation.
1. 28.1 × 32.4
2. 6 + 2 × 4
1. ________
2. ________
3. ________
4. ________
What exponent goes in each box?
4. (3 · 3 · 3 · 3)(3 · 3 · 3 · 3) = 3
3. 8 · 8 · 8 = 8
Quiz on 2-1B
Name _________________________
Suppose your calculator screen shows each number. Round to the indicated place.
1. 212,694; nearest thousand.
2. $12.84; nearest dime.
1. ________
2. ________
Estimate.
3. 41 × 108
5. 163 ÷ 8
4. 1189 + 1832
Quiz on 2-1C
3. _____ 4. _____ 5. _____
Name _________________________
Between which two consecutive whole numbers is each square root?
1.
71
2.
94
1. ________
2. ________
3. ________
4. ________
Find each square root to the nearest tenth.
3.
38
5. Calculate
4.
0.64
26 ÷ 3 to the nearest tenth.
Quiz on 2-1D
5. ________
Name _________________________
Calculate.
1. 5(12 – 7) + 12
2. 56 – 8 × 3
1. ________
2. ________
3. 108 ÷ (3 + 9)
4. 27−12
+ 43
3
3. ________
4. ________
5. 32 + 62 + ( 81 – 3)
18
AWSM Foundations of Algebra and Geometry
5. ________
© Addison Wesley Longman
Name _____________________________
Test 2-1 Form A
Date ______________________________
Find each power.
1. _____________________
1. 173
2.
( 35 )3
2. _____________________
3. Round 0.56759 to the nearest thousandth.
3. _____________________
4. Estimate 58 × 41.
4. _____________________
5. Find
5. _____________________
58 to the nearest tenth.
6. A square cloth covers 40 square feet. What is the length of a
side to the nearest tenth?
6. _____________________
Calculate.
7. 12 –
7. _____________________
49 + 32
8. 5(11 – 2 – 4) + 9 ÷ 3
9.
8. _____________________
(3÷ 9 )2
9. _____________________
10. Luis and his friends receive a bill of $25.67 for dinner at a
restaurant. They want to leave a 15% tip. How much should
they leave as a tip?
10. _____________________
.
11. The value of 4(7) is called
(d) not here
11. ____________________
12. An incandescent light bulb uses 100 watts of power. A halogen
light bulb uses 300 watts of power. How many watts of
electricity are used by the Cohen family if they use 4
incandescent lights and 2 halogen lights?
12. ____________________
(a) a product
© Addison Wesley Longman
(b) an exponent
(c) a quotient
AWSM Foundations of Algebra and Geometry
19
Name _____________________________
Test 2-1 Form B
Date ______________________________
Find each power.
1. 632
1. _____________________
( 27 )3
2. _____________________
2.
3. Round 0.17493 to the nearest hundredth.
3. _____________________
4. Estimate 346 ÷ 68.
4. _____________________
5. Find
5. _____________________
46 to the nearest tenth.
6. A square tabletop has an area of 21 square feet. What is the
length of a side to the nearest tenth?
6. _____________________
Calculate.
7.
(11 +
)
81 ÷ 4
7. _____________________
8. 7(8 – 3 + 1) + 14 ÷ 7
9.
(
8. _____________________
)2
9. _____________________
4 ×5
10. Lenora received a paycheck of $832. She wants to put 20% into
a savings account. How much should she put in her savings
account?
10. _____________________
11. In the expression 45 , the number 5 is called
(d) not here
11. ____________________
12. An incandescent light bulb uses 100 watts of power. A halogen
light bulb uses 300 watts of power. How many watts of
electricity are used by the Alvarado family if they use 2
incandescent lights and 3 halogen lights?
12. ____________________
(a) a product
20
(b) an exponent
(c) a quotient
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 2-2
Quiz on 2-2A
Name ___________________________
Give the opposite of each signed number.
1. –18
1. ________
2. 4.6
2. ________
What is the missing number?
3. –7 + ___ = 0
4. 6 + ___ = 1
5. 9 +___ = –2
Quiz on 2-2B
3. _____ 4. _____ 5. _____
Name ___________________________
Add.
1. 12 + (–23)
2. –19 + (–7)
1. ________
2. ________
3. –41.8 + 29
4. 36 + (–18.4) + (–26)
3. ________
4. ________
5. ________
5. –94 + 61 + (–6.3)
Quiz on 2-2C
Name ___________________________
1. _____________________
1. Rewrite –6 – 18 – (–3) as an addition calculation.
Calculate.
2. –12 – 7
3. –8 – (–29)
2. ________
3. ________
4. 71 – (–12) – 57
5. –29.8 – (–112) + (–38.1)
4. ________
5. ________
Quiz on 2-2D
Name ___________________________
Calculate.
1. (–6)(–9)
1. _____________________
2. –21 × 53
2. _____________________
3. 180 ÷ (–15)
3. _____________________
4. –8.4 × (–4)
4. _____________________
5.
−36
4
© Addison Wesley Longman
5. _____________________
AWSM Foundations of Algebra and Geometry
21
Name _____________________________
Test 2-2 Form A
Date ______________________________
1. Give the opposite of −1 43 .
1. _____________________
Calculate.
2. –12 + 18.6
2. _____________________
3. 191 + (–312) + (–5.6)
3. _____________________
4. –9 – (–5) – (–1)
4. _____________________
5. 115.2 + (–51.6) – (–21)
5. _____________________
6. –(27)(–61)
6. _____________________
7.
330
−15
7. _____________________
What is the missing number?
8. ____ ÷ –4 = –68
8. _____________________
9. 27 – ____ = –9.8
9. _____________________
10. 12 × ____ = 132
10. _____________________
11. What is the answer called when numbers are divided?
(a) product
(b) sum
(c) quotient
(d) not here
11. ____________________
Find the numbers described. If no number fits the description, write
impossible.
12. Find a number that, when added to itself, gives –8.
12. _____________________
13. Find a number that, when multiplied by itself, gives 36.
13. _____________________
14. The highest hill in Mountainville is 7822 feet above sea level.
The lowest point in the neighboring city of Valleyville is 578
feet below sea level. What is the range of altitudes?
14. _____________________
22
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 2-2 Form B
Date ______________________________
1. Give the opposite of 2 87 .
1. _____________________
Calculate.
2. 8.3 + (–14)
2. _____________________
3. –5 + 162 + (–17)
3. _____________________
4. –8 – (–4) – (–3)
4. _____________________
5. 123.7 – (–37.4) + (–62)
5. _____________________
6. (34)(–57)
6. _____________________
7. –145 ÷ (–5)
7. _____________________
What is the missing number?
8. –11 × ____ = 99
8. _____________________
9. 17 – ____ = –8.7
9. _____________________
10. –124 ÷ ____ = –31
10. _____________________
11. A quotient is the answer you get when two numbers are ____.
(a) added
(b) subtracted
(c) multiplied
(d) divided
11. ____________________
Find the numbers described. If no number fits the description, write
impossible.
12. Find a number that, when added to itself, gives –14.
12. _____________________
13. Find a number that, when multiplied by itself, gives –25.
13. _____________________
14. The highest hill in Hillsdale is 3124 feet above sea level. The
lowest point in the neighboring city of Deep Valley is 416 feet
below sea level. What is the range of altitudes?
14. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
23
Quizzes for Superlesson 2-3
Quiz on 2-3A
Name ___________________________
Decide whether each quantity is a constant or a variable.
1. the length of a baby’s foot
1. _____________________
2. the number of inches in a foot
2. _____________________
Write an algebraic expression.
3. 8 inches more than the length, k, then divide the result into 3
equal pieces
3. _____________________
4. 14 years more than 23 of Harry’s age, h
4. _____________________
5. the number of minutes in v hours, less 17 minutes
5. _____________________
Quiz on 2-3B
Name ___________________________
Evaluate the expression.
1. 6n – 8 if n = 17
1. _____________________
2.
x 2 + 4x + 9 if x = –6
2. _____________________
3.
y
3
+ 11 if y = 24
3. _____________________
4. 8x + (9 – 27) if x = 1.7
4. _____________________
5. 5x + 12y – 3 if x = –4, y = 5
5. _____________________
Quiz on 2-3C
Name ___________________________
Think about algebra tiles when it is helpful. Combine these expressions.
1. (17x − 6) − (5x − 23)
1. _____________________
2. (4x 2 − 1) + (−2x − 3) − (x 2 + 12)
2. _____________________
3. (−5x + 7) + (3x − 1)
3. _____________________
4. (4x − 7y + 1) − (4y + 6)
4. _____________________
5. (−3m + 11n − 8) + (−m − 6n + 2)
5. _____________________
24
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 2-3 (continued)
Quiz on 2-3D
Name ___________________________
Simplify.
1. 9(3x − 5)
1. _____________________
2. (2x − 13)(−3)
2. _____________________
3. −4(3x 2 − 2x + 9)
3. _____________________
4.
1 (12x 2
2
+ 8x − 22)
5. 3(2.8x − 9x + 4)
Quiz on 2-3E
4. _____________________
5. _____________________
Name ___________________________
Simplify.
1. (8m + 6) + (−12 − 5m)
1. _____________________
2. (3x 2 + 11) − (7x 2 − 2)
2. _____________________
3. (−4x + 3y + 2) + (3x − 9y − 7)
3. _____________________
4. (25x 2 + 6y 2 ) − (13x 2 − 7) − 4x 2
4. _____________________
Find the missing term.
5. ( 3x 2 + 8) – ( 7x 2 + ____) = −4x 2 + 2
© Addison Wesley Longman
5. _____________________
AWSM Foundations of Algebra and Geometry
25
Name _____________________________
Test 2-3 Form A
Date ______________________________
Write an algebraic expression.
1.
1
4
1. _____________________
as long as n, increased by 9.21 inches
2. 27 seconds less than double the number of seconds in h minutes 2. _____________________
3. _____________________
3. 7 less than your age, g, all divided by 6
Evaluate the expression.
4.
4
5
x + 6 if x = 35
4. _____________________
5. _____________________
5. 2x 2 − 3x + 9 − y if x = 3, y = –5
Simplify.
6. –6(y – 3)
6. _____________________
7. 3(4x 2 − 7x − 11)
7. _____________________
8. (8x + 9) + (−11 − 3x)
8. _____________________
9. (5m 2 − 2n2 + m) − (2m 2 + 4n2 − 3)
9. _____________________
10. In algebraic expressions, ____________ are quantities whose
values do not change.
(a) variables
(b) constants
(c) tiles
(d) not here
10. ____________________
Decide whether each quantity is a constant or a variable.
11. the number of feet in a mile
11. _____________________
12. the time it takes to travel a mile
12. _____________________
13. Cynthia is buying four muffins and eight apples. Let m represent
the cost of a muffin and a represent the cost of an apple.
a. Write an expression for the cost of the 4 muffins.
13.a. ____________________
b. Write an expression for the cost of the 8 apples.
13.b. ____________________
c. Write an expression for the total cost of the 4 muffins and
the 8 apples.
13.c. ____________________
d. Show another way to write the same expression.
13.d. ____________________
26
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 2-3 Form B
Date ______________________________
Write an algebraic expression.
1. Twice as long as p, decreased by 4.3 inches
1. _____________________
2. 12 minutes more than 13 the number of minutes in h hours
2. _____________________
3. 5 less than your weight, w, all divided by 8
3. _____________________
Evaluate the expression.
4.
2x−7
3
4. _____________________
if x = 24
5. _____________________
5. 3x 2 − 2y + 5 + x if x = 4, y = –3
Simplify.
6. –8(g + 4)
6. _____________________
7. 4(6x 2 − 2x + 3)
7. _____________________
8. (3y − 7) + (−5y + 2)
8. _____________________
9. (6 p2 + 3q 2 − p) − ( p2 − 5q 2 + 2)
9. _____________________
10. In algebraic expressions, ____________ are quantities whose
values can change.
(a) variables
(b) constants
(c) tiles
(d) not here
10. ____________________
Decide whether each quantity is a constant or a variable.
11. the height of students in your class
11. _____________________
12. the number of inches in a foot
12. _____________________
13. Roger is buying nine pencils and three erasers. Let p represent
the cost of a pencil and let e represent the cost of an eraser.
a. Write an expression for the cost of the 9 pencils.
13.a. ____________________
b. Write an expression for the cost of the 3 erasers.
13.b. ____________________
c. Write an expression for the total cost of the 9 pencils and
3 erasers.
13.c. ____________________
d. Show another way to write the same expression.
13.d. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
27
[Page 28 is blank.]
Chapter 2 Test Form A
Name _____________________________
Date ______________________________
Calculate.
1. 74
1. _____________________
2. –8 – 6 + 12
2. _____________________
3. (5 – 14)6
3. _____________________
4.
4. _____________________
64 – 2(7 – 2)
5. 6(33 – 20)
5. _____________________
6. 9 – (–24) ÷ 3
6. _____________________
7. 12 ÷ ( 4 2 – 20) – (–9)
7. _____________________
Write an algebraic expression.
8. 17 feet less than 4 times the length, m
8. _____________________
9. remove 2 inches from the height, g, then divide the result into 9
equal pieces.
9. _____________________
Simplify.
10. (4m 2 − 3) − (6m 2 − 11)
10. ____________________
11. (2x 2 + 7x − 10) − (2x + 3)
11. ____________________
12. 4(−x + 6) + 7(3x − 4)
12. ____________________
13. (−5y + 3)(−4)
13. ____________________
14. 4a − (3a + 4b − 1) + (−3b − 7)
14. ____________________
15. Round 37,561 to the nearest hundred.
15. ____________________
16. What is the length of a side of a square whose area is 68 square
feet?
16. ____________________
17. Estimate 4% of $8.06.
17. ____________________
18. The area of a rectangle is length times width. Write an algebraic
expression for a rectangle with length 7 and width 2x – 5.
18. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
29
Chapter 2 Test Form A (continued)
Name
19. Three artists have submitted sculptures to compete for a prize.
The sculptures are ranked by 10 experts. 4 points are awarded
for each first-place vote, –1 points are awarded for each secondplace vote, and –4 points for each third-place vote. The table
below shows the total number of votes for each artist.
Number of
first-place votes
Number of
second-place votes
Number of
third-place votes
Artist A
3
3
4
Artist B
5
2
3
Artist C
2
5
3
Who has the most total points, artist A, B, or C?
19. ____________________
Find the numbers described. If no number fits the description, write
impossible.
20. Find a number that, when added to itself, gives –2.
20. ____________________
21. Find a number that, when multiplied by itself, gives –4.
21. ____________________
Determine whether each quantity is a constant or a variable.
22. the number of miles traveled per gallon of gas
22. ____________________
23. the straight-line distance between San Francisco and Ukiah,
California
23. ____________________
24. Give the opposite of the signed number 6.
24. ____________________
25. Mei-Li is buying seven bananas and seven boxes of cereal. Let
b represent the cost of a banana and c represent the cost of a box
of cereal.
a. Write an expression for the cost of 7 bananas.
25.a. ___________________
b. Write an expression for the cost of 7 boxes of cereal.
25.b. ___________________
c. Write an expression for the total cost of the 7 bananas and 7
boxes of cereal
25.c. ___________________
d. Show another way to write the same expression.
25.d. ___________________
26. Evaluate 2x + 5 when x = 4.
30
AWSM Foundations of Algebra and Geometry
26. ____________________
© Addison Wesley Longman
Chapter 2 Test Form B
Name _____________________________
Date ______________________________
Calculate.
1. 93
1. _____________________
2. –14 + 6 – 17
2. _____________________
3. (6 – 11)9
3. _____________________
4.
4. _____________________
49 + 3(6 – 3)
5. 8(52 – 18)
5. _____________________
6. 11 – (–18) ÷ 2
6. _____________________
7. 20 ÷ ( 62 – 31) – 7
7. _____________________
Write an algebraic expression.
8. 11 inches more than 3 times the width, n
8. _____________________
9. add 5 feet to the height, h, then divide the result into 7 equal
pieces
9. _____________________
Simplify.
10. (3x 2 + 7) − (6x 2 + 1)
10. ____________________
11. (3m 2 − 5m − 4) − (3m − 9)
11. ____________________
12. 6(−x + 4) + 5(2x − 7)
12. ____________________
13. (6y – 11)(–3)
13. ____________________
14. 3a + (9 − 6b − 5)
14. ____________________
15. Round 49,175 to the nearest hundred.
15. ____________________
16. What is the length of a side of a square whose area is 74 square
inches?
16. ____________________
17. Estimate 8% of $4.97.
17. ____________________
18. The area of a rectangle is length times width. Write an algebraic
expression for a rectangle with length 4 and width 5x – 3.
18. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
31
Chapter 2 Test Form B (continued)
Name
19. Three artists have submitted sculptures to compete for a prize
The sculptures are ranked by 10 experts. 4 points are awarded
for each first-place vote, –1 points are awarded for each secondplace vote, and –4 points for each third-place vote. The table
below shows the total number of votes for each artist.
Number of
first-place votes
Number of
second-place votes
Number of
third-place votes
Artist A
5
2
3
Artist B
3
3
4
Artist C
2
5
3
Who has the most total points, artist A, B, or C?
19. ____________________
Find the numbers described. If no number fits the description, write
impossible.
20. Find a number that, when multiplied by its opposite, gives –16.
20. ____________________
21. Find a number that, when added to itself, gives –18.
21. ____________________
Determine whether each quantity is a constant or a variable.
22. the straight-line distance between Dallas and Austin, Texas
22. ____________________
23. the number of gallons of gas required to travel 100 miles
23. ____________________
24. Give the opposite of the signed number –37.
24. ____________________
25. Arturo is buying 5 quarts of milk and 5 pineapples. Let m
represent the cost of a quart of milk and p represent the cost of a
pineapple.
a. Write an expression for the cost of the 5 quarts of milk.
25.a. ___________________
b. Write an expression for the cost of 5 pineapples.
25.b. ___________________
c. Write an expression for the total cost of the 5 quarts of milk
and 5 pineapples.
25.c. ___________________
d. Show another way to write the same expression.
25.d. ___________________
26. Evaluate 3x – 4 when x = 5.
32
AWSM Foundations of Algebra and Geometry
26. ____________________
© Addison Wesley Longman
Chapter 2
Performance Task
Name _____________________________
Date ______________________________
Secret Phone Numbers
Dan wants to give his phone number , 874-6293, to a friend, but wants to keep it secret from other
people. He decides to write it in math code. Your task is to help him.
Use your knowledge of order of operations, parentheses, the distributive property, signed numbers,
and calculation to write an expression for each digit in Dan’s phone number.
.
For the first digit use only 1’s. For the second digit use only 2’s. and so on. For example, if the third
digit were 5, you might write:
5 = –3(3 + 3) + 33 – (3 + 33 ) because –18 + 27 – 4 = 5
-- - - - - - - - - - - - - - - - - - - - - - - - - (Use only 1’s)
8=
(Use only 2’s)
7=
(Use only 3’s)
4=
(Use only 4’s)
6=
(Use only 5’s)
2=
(Use only 6’s)
9=
(Use only 7’s)
3=
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
33
Quizzes for Superlesson 3-1
Quiz on 3-1A
Name _________________________
Draw the other half of each figure so that the line is a line of symmetry.
2.
1.
For each figure draw any and all lines of symmetry.
4.
3.
Quiz on 3-1B
Name _________________________
Identify the tessellated shapes.
1.
1. ____________________
2.
2. ____________________
3. Can the figure be used to make a tessellation? Explain.
3. ____________________
4. Which polygon is a quadrilateral?
4. ____________________
34
(a) triangle
(b) pentagon
(d) hexagon
(e) not here
(c) trapezoid
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 3-1 Form A
Date ______________________________
Draw the other half of each figure so that the line is a line of symmetry.
2.
1.
For each figure draw any and all lines of symmetry.
4.
3.
Identify the tessellated shapes.
5.
5. ____________________
6.
6. ____________________
7. Can the figure be used to make a tessellation? Explain.
If so, draw it. If not, explain why not.
7. ____________________
8. Sketch a figure that has two lines of symmetry.
8.
9. A figure in which all sides have the same length and all angles
.
have the same measure is a
9. ____________________
(a) regular polygon
(d) not here
© Addison Wesley Longman
(b) tessellation
(c) line of symmetry
AWSM Foundations of Algebra and Geometry
35
Name _____________________________
Test 3-1 Form B
Date ______________________________
Draw the other half of each figure so that the line is a line of symmetry.
2.
1.
For each figure draw any and all lines of symmetry.
4.
3.
Identify the tessellated shapes.
5.
5. _____________________
6.
6. _____________________
7. Can the figure be used to make a tessellation? Explain.
If so, draw it. If not, explain why not.
7. _____________________
8. Sketch a figure that has three lines of symmetry.
8.
9. A polygon with 6 sides is a
(a) hexagon
36
(b) pentagon
.
(c) octagon
AWSM Foundations of Algebra and Geometry
9. _____________________
(d) not here
© Addison Wesley Longman
Quizzes for Superlesson 3-2
Quiz on 3-2A
Name __________________________
Decide whether to slide, slide and flip, or slide and turn Figure A to
fit on Figure B.
1.
B
1. _____________________
A
2.
2. _____________________
B
A
3. _____________________
3.
B
A
4.
B
4. _____________________
A
Is Figure A congruent to Figure B? Explain.
5. _____________________
5.
Fig. B
Fig. A
Quiz on 3-2B
1. Tell how the translation ⟨–3, 0⟩ moves a point.
Name __________________________
1. _____________________
Find the image of each point after the given translation.
2. C(2, –3); ⟨–4, – 1⟩
2. _____________________
3. B(5, –1); ⟨–2, 3⟩
3. _____________________
4. G(–4, 2); ⟨–3, 1⟩
4. _____________________
5. A(3, 5); ⟨2, – 2⟩
5. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
37
Quizzes for Superlesson 3-2 (continued)
Quiz on 3-2C
Name _________________________
Name the coordinates of the image point if the given point is
reflected over the y-axis.
1. B(–3, 4)
1. _____________________
2. C(5, –2)
2. _____________________
3. L(–2, –4)
3. _____________________
Name the coordinates of the image point if the given point is
reflected over the x-axis.
4. D(–5, 1)
4. _____________________
5. N(3, –2)
5. _____________________
Quiz on 3-2D
Name _________________________
The regular hexagon ABCDEF is rotated about its center O.
B
A
F
C
O
E
D
1. What is the image of D if it is rotated 1808 counterclockwise?
1. _____________________
2. What is the image of E if it is rotated 2408 clockwise?
2. _____________________
3. What is the image of DE if it is rotated 1208 counterclockwise? 3. _____________________
Give a rotation that is the same as the given rotation.
4. 558 clockwise
4. _____________________
5. 1058 counterclockwise
5. _____________________
38
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 3-2 Form A
Date ______________________________
Decide whether to slide, slide and flip, or slide and turn Figure A to
fit on Figure B.
1. _____________________
1.
A
B
2.
2. _____________________
A
B
3. Is Figure A congruent to Figure B? Explain.
A
3. _____________________
B
Find the image of each point after the given translation.
4. _____________________
4. C(–2, –4); ⟨–1, 3⟩
5. F(3, –1); ⟨–2, – 3⟩
5. _____________________
6. G(–2, 6); ⟨4, – 1⟩
6. _____________________
7. Name the coordinates of the image point if B(3, –2) is reflected
over the y-axis.
7. _____________________
8. Name the coordinates of the image point if F(–4, –8) is reflected 8. _____________________
over the x-axis.
9. Give a rotation that is the same as 1758 clockwise.
9. _____________________
10. A transformation that turns a figure about a fixed point is called 10. ____________________
.
a
(a) translation
(b) reflection
(c) rotation
(d) not here
11. A transformation that flips a figure across a line of symmetry is
called a
(a) translation
© Addison Wesley Longman
(b) reflection
(c) rotation
11. ____________________
(d) not here
AWSM Foundations of Algebra and Geometry
39
Name _____________________________
Test 3-2 Form B
Date ______________________________
Decide whether to slide, slide and flip, or slide and turn Figure A to
fit on Figure B.
1.
A
1. _____________________
B
2.
2. _____________________
A
B
3. Is Figure A congruent to Figure B? Explain.
A
3. _____________________
B
Find the image of each point after the given translation.
4. D(–2, 4); ⟨4, 9⟩
4. _____________________
5. M(–6, –3); ⟨3, – 2⟩
5. _____________________
6. N(3, –5); ⟨−8, − 4⟩
6. _____________________
7. Name the coordinates of the image point if P(–5, 2) is reflected
over the x-axis.
7. _____________________
8. Name the coordinates of the image point if T(–7, –9) is reflected 8. _____________________
over the y-axis.
9. Give a rotation that is the same as 1258 counterclockwise.
9. _____________________
10. A transformation that flips a figure across a line of symmetry is
.
called a
(a) translation
(b) reflection
(c) rotation
(d) not here
11. A transformation that slides a shape is called a
(a) translation
40
(b) reflection
(c) rotation
AWSM Foundations of Algebra and Geometry
10. ____________________
.
11. ____________________
(d) not here
© Addison Wesley Longman
Quizzes for Superlesson 3-3
Quiz on 3-3A
Name _________________________
Find the next three elements in each pattern.
1. 46, 39, 32, 25, 18,
2. A, Z, B, Y, C,
,
,
3. 27, 9, 3, 1,
,
1. ____________________
,
,
2. ____________________
,
3. ____________________
Give the missing elements in the pattern.
4.
1,
3
1, 3, 9,
,
, 243
5. 3, 5, 8, 12, 17, 23,
,
4. ____________________
,
, 57
5. ____________________
Quiz on 3-3B
Name _________________________
Write the first five terms of the sequence given by each expression.
Expression
n=1
n=2
n=3
n=4
n=5
1.
3n – 2
1. Complete the table.
2.
n(n + 2)
2. Complete the table.
Write an expression to describe the pattern. Then find the indicated
term.
3. − 1 , –1, − 3 , –2, . . . (12th term)
2
2
3. ____________________
4. 0, 1, 2, 3, . . . (20th term)
4. ____________________
5. –2, –4, –6, –8, . . . (18th term)
5. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
41
Name _____________________________
Test 3-3 Form A
Date ______________________________
Find the next three elements in each pattern.
1.
1, 1, 1, 1,
3 5 7 9
,
2. 4, –8, 16, –32,
,
,
1. ____________________
,
2. ____________________
Give the missing elements in the pattern.
3.
1,
4
1, 4, 16,
,
, 1024
3. ____________________
Write the first five terms of the sequence given by each expression.
Expression
n=1
n=2
n=3
n=4
n=5
4.
2n(n – 1)
4. Complete the table.
5.
n+6
5. Complete the table.
Write an expression to describe the pattern. Then find the indicated term.
6. 0, –1, –2, –3, . . . (39th term)
6. ____________________
7. 3, 5, 7, 9, . . . (45th term)
7. ____________________
8. –2, –1, 0, 1, 2, . . . (26th term)
8. ____________________
9. Find the next three elements in the pattern BG, CH, DI, EJ, . . .
9. ____________________
10. A set whose elements are in a certain order has a
(a) sequence
(b) pattern
(c) term
42
Bldg. 2
10. ___________________
(d) not here
11. Consider the following pattern of blocks. How many blocks
would be in Building 5? Building 7?
Bldg. 1
.
11. ___________________
Bldg. 3
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 3-3 Form B
Date ______________________________
Find the next three elements in each pattern.
1. 2, –6, 18, –54,
,
,
1. _____________________
2. 24, 21, 18, 15,
,
,
2. _____________________
Give the missing elements in the pattern.
3.
1, 1, 1, 1 ,
4 6 8 10
1
, 16
,
3. _____________________
Write the first five terms of the sequence given by each expression.
Expression
n=1
n=2
n=3
n=4
n=5
4.
n–4
4. Complete the table.
5.
3n(n + 1)
5. Complete the table.
Write an expression to describe the pattern. Then find the indicated term.
6. 0, 2, 4, 6, . . . (42nd term)
6. _____________________
7. 1, 0, –1, –2, –3, . . . (24th term)
7. _____________________
8. 4, 7, 10, 13, . . . (36th term)
8. _____________________
9. Find the next three elements in the pattern JD, KE, LF, MG, . . . 9. _____________________
10. A set whose elements are in a certain order has a
(a) term
(b) sequence
(c) pattern
.
(d) not here
11. Consider the following pattern of blocks. How many blocks
would be in Building 5? Building 7?
Bldg. 1
Bldg. 2
© Addison Wesley Longman
10. _____________________
11. _____________________
Bldg. 3
AWSM Foundations of Algebra and Geometry
43
[Page 44 is blank.]
Name _____________________________
Chapter 3 Test Form A
Date ______________________________
For each figure draw any and all lines of symmetry.
1.
1. ____________________
2.
2. ____________________
3. Identify the tessellated shape.
3. ____________________
Find the image of each point after the given translation.
4. H(5, –2); ⟨3, 7⟩
4. ____________________
5. S(6, 0); ⟨–4, 3⟩
5. ____________________
6. A(–3, –9); ⟨4, – 1⟩
6. ____________________
A
B
7. Is figure A congruent to Figure B?
7. ____________________
8. What kind of transformation does this design show?
8. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
45
Chapter 3 Test Form A (continued)
Name
Name the coordinates of the image if the original point is reflected
over the indicated axis.
9. _____________________
9. J(–3, –8); x-axis
10. T(3, –1); x-axis
10. ___________________
11. M(–4, 5); y-axis
11. ___________________
12. X(6, –1); y-axis
12. ___________________
13. P(–3, 0); y-axis
13. ___________________
14. What is the angle of rotation that moves the hour hand from
6:00 p.m. to 9:00 p.m. in a clockwise direction?
14. ___________________
12
9
3
6
Find the missing elements in each of the following patterns.
15. 5, 13, 21, 29,
,
16. ZA, YB, XC, WD,
,
,
15. ___________________
,
16. ___________________
17. What figure comes next if the pattern continues as it has started? 17.
Write the first five terms of the sequence whose pattern is given by
each expression. To organize your work, complete the chart.
Expression
n=1
n=2
n=3
n=4
n=5
18.
5(2n + 1)
18. Complete the table.
19.
n(2n + 3)
19. Complete the table.
20. How can you tell when a figure has reflectional symmetry?
46
AWSM Foundations of Algebra and Geometry
20. ___________________
© Addison Wesley Longman
Name _____________________________
Chapter 3 Test Form B
Date ______________________________
For each figure draw any and all lines of symmetry.
1.
1. ____________________
2.
2. ____________________
3. Identify the tessellated shape.
3. ____________________
Find the image of each point after the given translation.
4. J(6, –3); ⟨2, 5⟩
4. ____________________
5. K(–7, 1); ⟨−2, − 3⟩
5. ____________________
6. N(4, –2); ⟨−5, 6⟩
6. ____________________
A
B
7. Is figure A congruent to Figure B?
7. ____________________
8. What kind of transformation does this design show?
8. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
47
Chapter 3 Test Form B (continued)
Name _____________________________
Name the coordinates of the image if the original point is reflected
over the indicated axis.
9. ____________________
9. H(–4, –7); x-axis
10. R(6, –2); x-axis
10. ___________________
11. Q(–7, 1); y-axis
11. ___________________
12. P(3, –8); y-axis
12. ___________________
13. L(3, 0); y-axis
13. ___________________
14. What is the angle of rotation that moves the hour hand from
3:00 a.m. to 6:00 a.m. in a counterclockwise direction?
14. ___________________
12
3
9
6
Find the missing elements in each of the following patterns.
15. 85, 76, 67, 58,
,
,
,
16. AN, BO, CP, DQ,
15. ___________________
,
16. ___________________
17. What figure comes next if the pattern continues as it has started? 17.
Write the first five terms of the sequence whose pattern is given by
each expression. To organize your work, complete the chart.
Expression
n=1
n=2
n=3
n=4
n=5
18.
3(3n + 1)
18. Complete the table.
19.
(n + 1)(2n + 1)
19. Complete the table.
20. How can you tell when a figure has rotational symmetry?
48
AWSM Foundations of Algebra and Geometry
20. ___________________
© Addison Wesley Longman
Chapter 3
Performance Task
Name _____________________________
Date ______________________________
Suppose you are a designer. A customer asks you to create a design that could be used for wallpaper or
fabric. They ask for a repeating pattern that contains geometric shapes. Use the transformations and
other ideas of this chapter to create a design that could be used to cover a large area. Your design
should contain at least two transformations. Write a paragraph or a labeled design explaining the
geometry that is in your design.
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
49
Quizzes for Superlesson 4-1
Quiz on 4-1A
Name __________________________
Use the formulas and compute each value.
1. V = lwh; l = 8.1 m, w = 6 m, h = 9 m
1. _____________________
2. A = pr 2; r =5.4 ft
2. _____________________
3. Tell what the variables mean in the travel formula d = rt.
3. _____________________
4. Identify the constant in the formula A = 12 bh.
4. _____________________
Quiz on 4-1B
Name __________________________
Solve each equation using number sense.
1. 156 = 12w
2.
15.4 = y + 7.1
1. ________
2. ________
3. 6x – 9 = 21
4.
1r
2
3. ________
4. ________
+ 3 = 17
5. Write an equation that models
m
98
m
5. _____________________
298 mi
Quiz on 4-1C
Name __________________________
Write the equation modeled by each equation box. Then solve the equation.
1.
2.
1. _____________________
2. _____________________
Write two expressions shown by the set of tiles.
3. _____________________
3.
Solve the equation modeled by the equation box.
4.
4. _____________________
50
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 4-1 Form A
Date ______________________________
Use the formulas and compute each value.
1. A = 12 bh; b = 12 ft, h = 11 ft
1. _____________________
2. C = pd; d = 4.9 cm
2. _____________________
Solve each equation using number sense.
3. 126 = 9w
3. _____________________
4. 32.8 = x + 11.2
4. _____________________
5. 4y – 7 = 17
5. _____________________
6. Write an equation that models
32
x
x
8
6. _____________________
Write the equation modeled by each equation box. Then solve the
equation.
7.
7. _____________________
8.
8. _____________________
says that two expressions represent the same
9. A(n)
quantity.
(a) formula
(b) variable
(c) equation
(d) not here
10. The volume of a sphere is given by the formula V = 43 πr 3 .
A ball has a radius of 7 units. What is the volume of this ball?
© Addison Wesley Longman
9. _____________________
10. ____________________
AWSM Foundations of Algebra and Geometry
51
Name _____________________________
Test 4-1 Form B
Date ______________________________
Use the formulas and compute each value.
1. A = 12 bh; b = 14 ft, h = 17 ft
1. _____________________
2. C = pd; d = 8.4 cm
2. _____________________
Solve each equation using number sense.
3. 128 = 8w
3. _____________________
4. 26.4 = x + 12.3
4. _____________________
5. 3y – 5 = 22
5. _____________________
6. Write an equation that models
x
x
21
x
9
6. _____________________
Write the equation modeled by each equation box. Then solve the
equation.
7.
7. _____________________
8.
8. _____________________
shows how to use numbers, variables, and
9. A(n)
operations to find a value for a quantity that is used frequently.
(a) formula
(b) variable
(c) equation
(d) not here
10. The volume of a sphere is given by the formula V = 43 πr 3 .
A ball has a radius of 8 units. What is the volume of this ball?
52
AWSM Foundations of Algebra and Geometry
9. _____________________
10. ____________________
© Addison Wesley Longman
Quizzes for Superlesson 4-2
Quiz on 4-2A
Name __________________________
Write an equation to model each of these balanced scales.
1.
1
1
x
50
1
1. _____________________
2.
1
1
10
x
5
2. _____________________
3.
x
x 1
5
1
1
3. _____________________
Quiz on 4-2B
Name __________________________
Solve each equation.
1. 4y = 52
1. _____________________
2. n + 21 = 47
2. _____________________
3.
1m
6
=5
3. _____________________
4. x – 12.7 = 1.4
4. _____________________
5. t + 7.8 = 43.9
5. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
53
Quizzes for Superlesson 4-2 (continued)
Quiz on 4-2C
Name __________________________
Give the coefficient of the variable and name its reciprocal.
1.
2x
7
= 16
1. _____________________
2. − 23 t = 22
2. _____________________
Solve.
3.
4
9
x=8
3. _____________________
4. 2.1 = 0.12y
4. _____________________
5. x + 49 = 8
5. _____________________
Quiz on 4-2D
Name __________________________
Solve each equation.
1. 32 + 6x = 86
2.
2x+3=7
5
3. 8.3 = 4x – 7.7
1. _____________________
2. _____________________
3. _____________________
Solve each equation. Simplify the left side of each equation before
isolating the variable.
4. 3n – 9n + 11 = –7
4. _____________________
5. 15x – 7x + 4 – 23 = 13
5. _____________________
54
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 4-2 Form A
Date ______________________________
Write an equation to model the balanced scales.
1.
1
x
x
x
5
1. _____________________
2.
x
x
10
5
1
1
1
2. _____________________
Solve each equation.
3. 7y = 63
3. _____________________
4. m + 15 = 17
4. _____________________
Give the coefficient of the variable and name its reciprocal.
5. − 35 y = 27
5. _____________________
4 m = 20
6. 11
6. _____________________
Solve each equation.
x + 12 = 21
7. _____________________
8. 51 + 9x = 168
8. _____________________
9. 12.7 = 8x – 35.3
9. _____________________
7.
3
4
10. x – 25 = 53
10. _____________________
11. Marilyn has a coupon for $0.50 off a six-pack of soda. Without
the coupon, she would pay $2.84 for the soda. How much will
she actually pay for each can?
11. ____________________
12. The multiplier of a variable in an equation is called the _____.
(a) solution
(b) coefficient
© Addison Wesley Longman
(c) reciprocal
(d) not here
12. ____________________
AWSM Foundations of Algebra and Geometry
55
Name _____________________________
Test 4-2 Form B
Date ______________________________
Write an equation to model the balanced scales.
1.
1
x
x
5
1. _____________________
2.
x
x
x
1 1
15
5
2. _____________________
Solve each equation.
3. 7y = 56
3. _____________________
4. m + 22 = 25
4. _____________________
Give the coefficient of the variable and name its reciprocal.
5. − 47 y = 27
5. _____________________
3 m = 12
6. 13
6. _____________________
Solve each equation.
7.
2x+5=
3
23
7. _____________________
8. 49 + 8x = 169
8. _____________________
9. 20.3 = 9x – 42.7
9. _____________________
10. x − 27 = 37
10. _____________________
11. Corrina has a coupon for $0.60 off a six-pack of soda. Without
the coupon, she would pay $2.76 for the soda. How much will
she actually pay for each can?
11. ____________________
12. The inverse operation for subtraction is _____.
(a) multiplication
56
(b) division (c) addition
AWSM Foundations of Algebra and Geometry
(d) not here
12. ____________________
© Addison Wesley Longman
Name _____________________________
Chapter 4 Test Form A
Date ______________________________
Use the formulas and compute each value.
1. I = prt; p = 750, r = 0.06, t = 2
1. _____________________
2. A = lw; l = 16 ft, w = 9 ft
2. _____________________
Solve each equation.
3. x + 6 = 11
3. _____________________
4. –10.8 = 0.4w
4. _____________________
5. 36 = 8 + 4x
5. _____________________
6. Write an equation modeled by the equation box. Solve the
equation.
6. _____________________
7. Write an equation to model this balanced scale.
10
1
1
x
x
1
1
1
1
7. _____________________
8. Use the equation 37 x − 14 = 22 to answer the following
questions.
a. Name the coefficient of x.
8.a. ___________________
b. Name the reciprocal of the coefficient of x.
8.b. ___________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
57
Chapter 4 Test Form A (continued)
Name _____________________________
Solve each equation.
9. x – 5 = 9
7
9. _____________________
7
10. f +16.3 = 91.7
10. ____________________
11. 57 x = 15
11. ____________________
12. 4w – 23 = 45
12. ____________________
13. 12.7 = 5x – 22.3
13. ____________________
14. Jerome has a coupon for $0.65 off 8 cans of soup. Without the
coupon, he would pay $7.44 for the cans. How much will he
actually pay for each can?
14. ____________________
15. Use the formula P = 2(l + w) and find the perimeter of a
rectangular photograph that is 5 in. long and 3 in. wide.
15. ____________________
16. Write two expressions shown by the set of tiles.
16. ____________________
17. Write an equation to model the situation.
u
u
u
17. ____________________
19
u
47
58
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Chapter 4 Test Form B
Name _____________________________
Date ______________________________
Use the formulas and compute each value.
1. d = rt; r = 40 mi/hr, t = 4.5 hr
1. _____________________
2. I = prt; p = 1200, r = 0.07, t= 2
2. _____________________
Solve each equation.
3. y + 4 = 16
3. _____________________
4. 24.5 = –0.7n
4. _____________________
5. 26 = 11 + 5x
5. _____________________
6. Write an equation modeled by the equation box.
Solve the equation.
6. _____________________
7. Write an equation to model this balanced scale.
5
1
1
1
1
x
x
1
7. _____________________
8. Use the equation 94 x − 11 = 5 to answer the following questions.
a. Name the coefficient of x.
8. a. ___________________
b. Name the reciprocal of the coefficient of x.
8. b. ___________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
59
Chapter 4 Test Form B (continued)
Name _____________________________
Solve each equation.
9. w + 2 = 20
9 9
9. _____________________
10. z – 25.1 = 89.7
10. ____________________
11. 29 x = 18
11. ____________________
12. 6t – 29 = 13
12. ____________________
13. 62.3 = 5x – 27.7
13. ____________________
14. Cecilia has a coupon for $0.85 off 9 cans of soup. Without the
coupon, she would pay $9.63 for the cans. How much will she
actually pay for each can?
14. ____________________
15. Use the perimeter formula P = 2(l + w) and find the perimeter of
a rectangular tabletop that is 6 ft long and 3 ft wide.
15. ____________________
16. Write two expressions shown by the set of tiles.
16. ____________________
17. Write an equation to model the situation.
p
60
p
p
24
17. ____________________
9
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Chapter 4
Performance Task
Name _____________________________
Date ______________________________
Choose three situations, one from school, one from home, and one from leisure activities. For each
situation, create a problem, write an equation that describes the problem, and show a method for
solving the equation. For example, a “home” situation: A family of 5 people shares a package of 16
cookies evenly. One cookie is left over. How many did each person have?”
Interpret one of the problems by sketching algebra tiles.
Interpret a different problem by sketching balance scales or line drawings.
Home situation and problem:
Equation:
Solution:
School situation and problem:
Equation:
Solution:
Leisure time situation and problem:
Equation:
Solution:
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
61
Quizzes for Superlesson 5-1
Quiz on 5-1A
Name __________________________
Give the number of vertices, edges, and faces for each solid.
2.
1.
1. _____________________
2. _____________________
3. Complete a one-point perspective drawing of a solid for this
3.
figure. Use the trapezoid as the front face. Draw the solid in onepoint perspective using the horizon line and vanishing point
shown.
Quiz on 5-1B
Name __________________________
Find the perimeter and area of each rectangle. Be sure to use the
correct units.
7 ft
1.
2.
3 ft
1. _____________________
11. 7 yd
2. _____________________
2.3 yd
Find the perimeter and area of the figure.
3.
3. _____________________
62
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 5-1 (continued)
Quiz on 5-1C
Name __________________________
Find the volume of each box.
1.
1. _____________________
2.
2. _____________________
Determine whether the measurement is length, area, or volume and
requires linear, square, or cubic units.
3. amount of floor space for a rug
3. _____________________
4. the capacity of a water bottle
4. _____________________
5. the height of a water tower
5. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
63
Name _____________________________
Test 5-1 Form A
Date ______________________________
Give the number of vertices, edges, and faces for each solid.
2.
1.
1. _____________________
2. _____________________
Find the perimeter and area of each figure.
3 ft
3.
4.
17.2 yd
3. _____________________
5 ft
4. _____________________
21.7 yd
5.
5. _____________________
Find the volume of each box.
6.
6. _____________________
7.
7. _____________________
8. A rectangular lawn measures 55 feet by 70 feet.
What are the perimeter and area of this lawn?
8. _____________________
9. A drawing that shows the three-dimensional quality of an object
viewed at an angle is called a(n) __________.
(a) vertex
64
(b) isometric projection
(c) prism
AWSM Foundations of Algebra and Geometry
(d) not here
9. _____________________
© Addison Wesley Longman
Name _____________________________
Test 5-1 Form B
Date ______________________________
Give the number of vertices, edges, and faces for each solid.
2.
1.
1. _____________________
2. _____________________
Find the perimeter and area of each figure.
6 ft
3.
4 ft
4.
3. _____________________
26.3 cm
18.4 cm
4. _____________________
5.
5. _____________________
Find the volume of each box.
6.
6. _____________________
7.
7. _____________________
8. A rectangular lawn tabletop measures 48 in. by 72 in.
What are the perimeter and area of this tabletop?
8. _____________________
9. Renaissance artists used a shrinking effect known as
__________ to make their work appear more lifelike.
(a) perspective (b) isometric projection (c) face (d) not here
© Addison Wesley Longman
9. _____________________
AWSM Foundations of Algebra and Geometry
65
Quizzes for Superlesson 5-2
Quiz on 5-2A
Name __________________________
Find each area. Measurements are in inches.
1. Parallelogram PQRS
P
Q
9
7
6
S
1. _____________________
R
3. Trapezoid DEFG
2. Triangle ABC
A
9
D
E
2. _____________________
6
14
B
G
16
F
3. _____________________
C
12
4. Find the area of a triangle with base 6.4 cm and height 7.3 cm.
Quiz on 5-2B
4. _____________________
Name __________________________
1. Draw the front, top, and right orthographic views of the solid.
1.
2. Find the circumference and area of a circle with radius 9 cm.
2. _____________________
3. Find the circumference and area of a circle with diameter 24 ft.
3. _____________________
4. What is the area of the shaded region?
8 ft
66
AWSM Foundations of Algebra and Geometry
4. _____________________
© Addison Wesley Longman
Name _____________________________
Test 5-2 Form A
Date ______________________________
Find each area. Measurements are in centimeters.
1. _____________________
1. Triangle ABC
A
5.4
B
4
C
2. Parallelogram PQRS
P
11
Q
9
S
3. Trapezoid DEFG
21
D
E
2. _____________________
8
7
R
G
12
3. _____________________
F
4. Draw the front, top and right orthographic views of the solid.
4.
5. Find the circumference and area of a circle with radius 5 in.
5. _____________________
6. Find the circumference and area of a circle with diameter 13 m.
6. _____________________
7. A tarp is cut to cover a circular area with an 18-yard radius.
Find the area covered by this tarp.
7. _____________________
8. The base of a triangle is 10 cm and its area is 45 cm 2.
What is the height?
8. _____________________
9. The perpendicular distance from a vertex of a triangle to the
opposite base is the __________.
(a) altitude
(b) perimeter
© Addison Wesley Longman
(c) rhombus
(d) not here
9. _____________________
AWSM Foundations of Algebra and Geometry
67
Name _____________________________
Test 5-2 Form B
Date ______________________________
Find each area. Measurements are in centimeters.
1. _____________________
1. Triangle ABC
A
5
B
6.4
C
2. Parallelogram PQRS
P
11
S
14
3. Trapezoid DEFG
D 7
Q
E
2. _____________________
8
9
G
R
16
F
3. _____________________
4. Draw the front, top and right orthographic views of the solid.
4.
5. Find the circumference and area of a circle with diameter 7 in.
5. _____________________
6. Find the circumference and area of a circle with radius 8 m.
6. _____________________
7. A tarp is cut to cover a circular area with a 20-yard radius.
Find the area covered by this tarp.
7. _____________________
8. The base of a triangle is 14 cm and its area is 35 cm2.
What is the height?
8. _____________________
9. The perpendicular distance from a vertex of a triangle to the
opposite base is the __________.
(a) perimeter
68
(b) rhombus
(c) altitude
AWSM Foundations of Algebra and Geometry
(d) not here
9. _____________________
© Addison Wesley Longman
Quizzes for Superlesson 5-3
Quiz on 5-3A
Name __________________________
1. Sketch a net of the solid.
1.
Sketch a net of each solid. Then find its surface area.
2. _____________________
2.
12.8 ft
9.3 ft
4.6 ft
8m
3.
3. _____________________
6m
Quiz on 5-3B
Name __________________________
Find the volume of each prism.
8 cm
1.
5 cm
9 cm
1. _____________________
2.
11 ft
12 ft
3.
7 ft
2. _____________________
3.8 in.
4 in.
3.5 in.
7.4 in.
© Addison Wesley Longman
3. _____________________
AWSM Foundations of Algebra and Geometry
69
Quizzes for Superlesson 5-3 (continued)
Quiz on 5-3C
Name __________________________
1. Find the surface area and volume of the solid.
6m
8m
10 m
1. _____________________
Find the volume of each solid. Round answers to the nearest hundredth.
2. a prism with 8 cm 2 base area and 5 cm height.
2. _____________________
3. a pyramid with 8 cm2 base area and 5 cm height.
3. _____________________
4. a cylinder with 12 in. radius and 14 in. height.
4. _____________________
70
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 5-3 Form A
Date ______________________________
1. Sketch a net of the solid.
1.
2. Find the surface area of the solid. Sketch a net if it is helpful.
8 cm
2. _____________________
12 cm
Find the volume of each prism.
4.
3.
15 m
9 ft
16 m
14 m
8.5 ft
3. _____________________
4. _____________________
4 ft
5.
4.8 cm
4 cm
9.4 cm
5. _____________________
5.8 cm
6. Find the volume of a pyramid with 15 m 2 base area and 7 m
height.
7. A cup is in the shape of a cone. The opening has a diameter of
4.6 inches and the cup is 5.3 inches deep with a slant height of
5.8 inches. Find the surface area and volume of this cup.
(Do not include the base in the surface area.)
8. A soup can has a circular cross-section with a 2.5 inch radius.
The height of the can is 6 inches. Find the volume of the soup
can.
6. _____________________
7. _____________________
8. _____________________
9. A flat pattern that can be folded without gaps or overlapping
into a three-dimensional object is a __________.
(a) prism
(b) perspective drawing
© Addison Wesley Longman
(c) net
(d) not here
9. _____________________
AWSM Foundations of Algebra and Geometry
71
Name _____________________________
Test 5-3 Form B
Date ______________________________
1. Sketch a net of the solid.
1.
2. Find the surface area of the solid. Sketch a net if it is helpful.
7 cm
15 cm
2. _____________________
Find the volume of each prism.
3.
4.
26 m
8 ft
3. _____________________
23 m
11 m
6.5 ft
4. _____________________
5 ft
5.
9 cm 5.5 cm
14 cm
6.4 cm
5. _____________________
6. Find the volume of a pyramid with 18 m 2 base area and 5 m
height.
7. A cup is in the shape of a cone. The opening has a diameter of
4.8 inches and the cup is 5.6 inches deep with a slant height of
6.1 inches. Find the surface area and volume of this cup.
(Do not include the base in the surface area.)
8. A soup can has a circular cross-section with a 2.4 inch radius.
The height of the can is 5 inches. Find the volume of the soup
can.
6. _____________________
7. _____________________
8. _____________________
9. A __________ has rectangular sides and parallel bases that are
congruent polygons.
(a) prism
72
(b) net (c) pyramid
(d) not here
AWSM Foundations of Algebra and Geometry
9. _____________________
© Addison Wesley Longman
Name _____________________________
Chapter 5 Test Form A
Date ______________________________
Find the perimeter and area of each figure.
7.5 cm
2.
1.
16 cm
9.4 cm
1. _____________________
10 cm
8 cm
27 cm
11.5 cm
2. _____________________
3.
19 ft
4.
16.5 cm
15
cm
16.5 cm
8 ft
3. _____________________
10 ft
13.8 cm
4. _____________________
5.
5.a.
7m
10 m
8m
6m
a. Sketch a net of the prism.
b. Give the number of edges and faces on the prism.
5.b. ____________________
c. Find the surface area of the prism.
5.c. ____________________
d. Find the volume of the prism.
5.d. ____________________
6. Find the volume of the box.
© Addison Wesley Longman
6. _____________________
AWSM Foundations of Algebra and Geometry
73
Chapter 5 Test Form A (continued)
Name _____________________________
7. Flour in a cone-shaped container with radius 3 inches and depth
4 inches is poured into a box measuring 2 in. × 3 in. × 6 in. Give
the volume of flour remaining in the cone to the nearest
7. _____________________
hundredth.
8. A can of sauce in the shape of a cylinder is 4.2 inches in
diameter and 6.5 inches tall.
a. A rectangular label covers the can. Give the area of this label. 8.a. ____________________
8.b. ____________________
b. Find the volume of the can.
9. The rectangle shown is the base of a pyramid that has a height
of 12 m.
12 m
4.9 m
4.9 m
6.8 m
6.8 m
a. How many vertices does the pyramid have?
9.a. ____________________
b. How many faces?
9.b. ____________________
c. Find the area of the base.
9.c. ____________________
d. Find the volume of the pyramid.
9.d. ____________________
10. Draw the front, top, and right orthographic views of the solid.
(Use a separate sheet of paper if necessary.)
10.
11. Find the volume of the prism.
4 cm
6 cm
5 cm
11 cm
9 cm
74
AWSM Foundations of Algebra and Geometry
11. _____________________
© Addison Wesley Longman
Name _____________________________
Chapter 5 Test Form B
Date ______________________________
Find the perimeter and area of each figure.
22 m
2.
1.
8.5 cm
26 m
24 m
1. _____________________
25 m
13.5 cm
39 m
2. _____________________
17 ft
4.
3.
16.1 m
16.1 m
7 ft
3. _____________________
9 ft
12 m
21.4 m
4. _____________________
5.
5.a.
5m
10 m
6m
8m
a. Sketch a net of the prism.
b. Give the number of edges and faces on the prism.
5.b. ____________________
c. Find the surface area of the prism.
5.c. ____________________
d. Find the volume of the prism.
5.d. ____________________
6. Find the volume of the box.
6. _____________________
7. Flour in a cone-shaped container with radius 4 inches and depth
5.2 inches is poured into a box measuring 3 in. × 4 in. × 6 in.
Give the volume of flour remaining in the cone to the nearest
hundredth.
© Addison Wesley Longman
7. _____________________
AWSM Foundations of Algebra and Geometry
75
Chapter 5 Test Form B (continued)
Name _____________________________
8. A can of sauce in the shape of a cylinder is 5.8 inches in
diameter and 6.3 inches tall.
a. A rectangular label covers the can.
Give the area of this label.
8.a. ____________________
b. Find the volume of the can.
8.b. ____________________
9. The rectangle shown is the base of a pyramid that has a height
of 15 m.
15 m
8.1 m
8.1 m
6.7 m
6.7 m
a. How many vertices does the pyramid have?
9.a. ____________________
b. How many faces?
9.b. ____________________
c. Find the area of the base.
9.c. ____________________
d. Find the volume of the pyramid.
9.d. ____________________
10. Draw the front, top, and right orthographic views of the solid.
(Use a separate sheet of paper if necessary.)
10.
11. Find the volume of the prism.
7 cm
9.5 cm
8 cm
16 cm
76
4 cm
AWSM Foundations of Algebra and Geometry
11. _____________________
© Addison Wesley Longman
Chapter 5
Performance Task
Name _____________________________
Date ______________________________
On graph paper there are many ways to enclose an area of 10 squares.
In the drawing below, 10 squares are enclosed by a perimeter of 16 units.
Experiment with other 10-square areas. Do not use any fractional or partial squares. Find the smallest
and largest perimeters that can enclose 10 of them. Find out whether every number in between these
values is a possible perimeter for 10 squares. See how many different shapes you can make with area
10 and perimeter 18.
Write a report about your findings and demonstrate them below.
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
77
Quizzes for Superlesson 6-1
Quiz on 6-1A
Name __________________________
Determine the ratio for the situation.
1. For every $100 in raffle tickets bought, the group donates $27 to
charity.
1. _____________________
2. Write the equivalent fraction in lowest terms for the ratio 12:54. 2. _____________________
3. Write the decimal equivalent to the ratio 5:8. Round your
answer to two places.
4. Six of ten students bought pencils. Write an equivalent ratio for
this expression. Write the new ratio in words.
Quiz on 6-1B
3. _____________________
4. _____________________
Name __________________________
Which ratio is greater?
2. _____________________
IN
IN
GO
T
T
T
UNITE
IN
IN
UNITE
D
D
UNITE
U
CEN
D WE TR
U
ST
IN
D WE TR
LIBERTY
1996
D
1996
D
T
O
NE
O
GO
ICA
1996
NE
D
ST
IN
ICA
1996
LIBERTY
D
ATES of AM
ST
ER
ST
ICA
S
ER
ST
ST
D
78
D WE TR
U
D WE TR
U
CEN
ES of A
TAT
M
LIBERTY
1996
4.
NE
D
CEN
GO
GO
LIBERTY
1996
O
D WE TR
U
LIBERTY
NE
O
D
3.
ATES of AM
ST
LIBERTY
1996
GO
D WE TR
U
ST
ICA
ST
LIBERTY
GO
UNITE
ATES of AM
ST
ER
D WE TR
U
ER
GO
D
2. 27 green marbles out of 64 marbles or 18 green marbles out of
49 marbles
D
1. _____________________
IN
1. $1.40 tax paid on $20.00 or $2.80 tax paid on $49.00
CEN
Write a ratio comparing the number of heads to tails in the
drawing above.
3. _____________________
Write a ratio comparing the number of tails to the total number
of coins in the drawing above.
4. _____________________
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 6-1 (continued)
Quiz on 6-1C
Name __________________________
1. _____________________
1. Write as a unit rate: 15 computers for 6 students
Replace x with the number that correctly completes each statement.
2.
75 gallons 60 minutes x gallons
4 minutes × 1 hour = 1 hour
2. _____________________
3.
32 words 60 minutes x words
3 minutes × 1 hour = 1 hour
3. _____________________
4. Convert 240 miles per hour to miles per minute.
4. _____________________
5. Convert 7 feet per minute to feet per hour.
5. _____________________
Quiz on 6-1D
Name __________________________
Solve each problem.
= 43
1.
9
a
2.
22
10
b
= 15
2. _____________________
3.
26
6.5
= 8x
3. _____________________
4.
3
c
= 18
30
4. _____________________
© Addison Wesley Longman
1. _____________________
AWSM Foundations of Algebra and Geometry
79
Name _____________________________
Test 6-1 Form A
Date ______________________________
Determine the ratio for the situation.
1. _____________________
1. Out of 30 flips of a coin, Jane got 19 heads.
2. Write each ratio as a fraction in lowest terms, a decimal, and a
percentage.
a. 28:40
2.a. ____________________
b. 7:9
2.b. ____________________
Fill in the blank to make equivalent ratios.
3. _____________________
3. 9 dollars:1 day = _____ dollars:6 days
4. In a survey of a class 7 students answered that they are
vegetarians and 25 answered that they are not vegetarians.
a. Write a ratio for the number of vegetarian students to total
number of students in this class.
4.a. ____________________
b. Write a ratio for the number of non-vegetarian students to
total number of students in this class.
4.b. ____________________
Replace x with the number that correctly completes the statement.
5.
225 words
2 hours
hour = x words
× 601 minutes
1 minute
5. _____________________
6. Convert 4 meters per second to meters per minute.
6. _____________________
Solve each proportion.
7.
b
30
= 45
7. _____________________
8.
45
7.5
= 18
x
8. _____________________
9. An equation showing that two ratios are equal is a __________.
(a) percentage
(b) proportion
(c) rate
(d) not here
10. Which ratio is greater? 11 quarters out of 25 coins or 18
quarters out of 35 coins?
80
AWSM Foundations of Algebra and Geometry
9. _____________________
10. _____________________
© Addison Wesley Longman
Name _____________________________
Test 6-1 Form B
Date ______________________________
Determine the ratio for the situation.
1. _____________________
1. Out of 30 flips of a coin, Rick got 17 tails.
2. Write each ratio as a fraction in lowest terms, a decimal, and a
percentage.
a. 27:36
2.a. ____________________
b. 5:11
2.b. ____________________
Fill in the blank to make equivalent ratios.
3. _____________________
3. 6 dollars:1 day = _____ dollars:11 days
4. In a survey of a class 6 students answered that they are
vegetarians and 29 answered that they are not vegetarians.
a. Write a ratio for the number of vegetarian students to total
number of students in this class.
4.a. ____________________
b. Write a ratio for the number of non-vegetarian students to
total number of students in this class.
4.b. ____________________
Replace x with the number that correctly completes the statement.
5.
315 beats
3 minutes
x beats
× 601 minute
seconds = 1 second
5. _____________________
6. Convert 0.4 miles per minute to miles per hour.
6. _____________________
Solve each proportion.
= 83
7.
c
24
8.
28
8.75
7. _____________________
= 16
x
8. _____________________
9. An __________ is a ratio that compares quantitites having
different units.
9. _____________________
(a) percentage
(b) proportion
(c) rate
(d) not here
10. Which ratio is greater? 8 nickels out of 30 coins or 7 nickels out
of 25 coins?
10. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
81
Quizzes for Superlesson 6-2
Quiz on 6-2A
Name ___________________________
Find the value of x in each figure.
1.
2.
958
x8
328
1. _____________________
x8
1188
978
2. _____________________
688
3.
3. _____________________
218
x8
288
4. The sum of the measures of two angles of a triangle is 1058.
What is the measure of the third angle?
Quiz on 6-2B
4. _____________________
Name ___________________________
1. Is the pair of triangles similar?
S
S'
R
6
18
18
6
R' 4
T'
T
12
1. _____________________
The following pairs of figures are similar. Find the indicated missing values.
3.
2.
15
c
2. _____________________
25
a
2.5
15
3. _____________________
20
b
24
82
AWSM Foundations of Algebra and Geometry
15
© Addison Wesley Longman
Quizzes for Superlesson 6-2 (continued)
Quiz on 6-2C
Name ___________________________
1. Rectangle QRST is a reduction of rectangle ABCD. What is the
scale factor?
32 ft
A
B
Q 12 ft R
24 ft
9 ft
T
C
S
1. _____________________
D
2. Triangle ADE is an enlargement of triangle ABC. What is the
scale factor?
A
B
D
9
C
21
2. _____________________
E
3. A rectangle has length 24 cm. Another rectangle is drawn using
a scale factor of 5:8. What is the length of the second rectangle? 3. _____________________
4. Solve the proportion 3 = 9 .
t 15
Quiz on 6-2D
4. _____________________
Name ___________________________
1. A triangle has sides of 9, 13, and 16. Is it a right triangle?
1. _____________________
The lengths of the legs of a right triangle are a and b. The length of
the hypotenuse is c. Find the missing length in each of the following
to the nearest hundredth.
2. a = 14, b = 18, c =
2. _____________________
3. a = 9, b =
3. _____________________
4. a =
, c = 15
, b = 19, c = 26.45
© Addison Wesley Longman
4. _____________________
AWSM Foundations of Algebra and Geometry
83
Name _____________________________
Test 6-2 Form A
Date ______________________________
Find the value of x in each figure.
1.
2.
x8
1. _____________________
x8 1288
518
618
428
728
2. _____________________
The following pairs of figures are similar. Find the missing side
lengths by using proportions.
3.
x
4.
16
3. _____________________
12
52
21
b
40
a
44
24
4. _____________________
5. Triangle ABC is a reduction of triangle ADE.
What is the scale factor?
A
B
16 m
D
C
5. _____________________
28 m
E
6. A map has a scale of 3 cm = 10 km. The distance between two
cities is 38.1 km. How far apart are the cities on the map?
6. _____________________
The lengths of the legs of a right triangle are a and b . The length of
the hypotenuse is c. Find the missing length in each of the following
to the nearest hundredth.
7. a = 21, b = 34, c =
7. _____________________
8. a =
8. _____________________
, b = 24, c = 29
9. a = 7.5, b =
, c = 11.3
10. The ratio of corresponding lengths of sides of two figures is a
.
9. _____________________
10. ____________________
(a) scale factor (b) proportion (c) hypotenuse (d) not here
84
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 6-2 Form B
Date ______________________________
Find the value of x in each figure.
1.
2.
788
548
628
x8
x8
1. _____________________
588
1088
2. _____________________
The following pairs of figures are similar. Find the missing side
lengths by using proportions.
3.
10
16
24
a
20
4.
b
8
36
3. _____________________
15
x
4. _____________________
5. Triangle ADE is a reduction of triangle ABC.
What is the scale factor?
B 15 C
D 9 E
5. _____________________
A
6. A map has a scale of 7 cm = 10 km. The distance between two
cities is 53.9 km. How far apart are the cities on the map?
6. _____________________
The lengths of the legs of a right triangle are a and b . The length of
the hypotenuse is c. Find the missing length in each of the following
to the nearest hundredth.
7. a = 26, b = 31, c =
7. _____________________
8. a =
8. _____________________
, b = 21, c = 28
9. a = 8.3, b =
, c = 12.4
9. _____________________
10. Two polygons are
if they can be matched up so that
corresponding angles are congruent and corresponding sides
have the same ratio.
(a) congruent
© Addison Wesley Longman
(b) proportional
(c) similar
10. ____________________
(d) not here
AWSM Foundations of Algebra and Geometry
85
Quizzes for Superlesson 6-3
Quiz on 6-3A
Name ___________________________
Find these values using your calculator.
1. sin 628
1. ______________________
2. tan 398
2. ______________________
3. cos 518
3. ______________________
4. Find the tangent ratio.
B
10
A
6
C
8
a. for /A.
4.a. ____________________
b. for /B.
4.b. ____________________
a. for /D.
5.a. ____________________
b. for /E.
5.b. ____________________
5. Find the tangent ratio.
103
F
D
92
138.1
E
Quiz on 6-3B
Name ___________________________
Find the side given by the variable. Round answers to the nearest
hundredth.
2.
1.
1. _____________________
17
b
c 418
358
28
2. _____________________
4.
3.
5.3
238
508
d
x
1
3. _____________________
4. _____________________
86
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 6-3 Form A
Date ______________________________
Find these values using your calculator.
1. a. cos 228
b. sin 258
1.a. _______ 1.b. _______
2. a. tan 158
b. cos 838
2.a. _______ 2.b. _______
3. Find the tangent ratio.
A
110.5
51
B
C
98
a. for /A.
3. a. ____________________
b. for /C.
3. b. ____________________
a. for /D.
4. a. ____________________
b. for /E.
4. b. ____________________
4. Find the tangent ratio.
F
15
E
7
16.6
D
Find the side given by the variable.
6.
5.
5. _____________________
83
23.8 318
298
b
6. _____________________
d
7.
13
498
c
7. _____________________
8. A rope at an angle of 428 runs from the ground to the top of a
51.4 ft tree. Find the length of the rope.
8. _____________________
9. A person looks up at an angle of 248 from the horizontal to the
top of a cliff. If the cliff is 109 meters tall, how far is the person
standing from the base of the cliff?
9. _____________________
10. The study of right triangles and their applications is called
__________.
(a) tangent
(b) ratios
© Addison Wesley Longman
(c) trigonometry
(d) not here
10. ____________________
AWSM Foundations of Algebra and Geometry
87
Name _____________________________
Test 6-3 Form B
Date ______________________________
Find these values using your calculator.
1. a. cos 278
b. sin 238
1.a. _______ 1.b. _______
2. a. tan 368
b. cos 868
2.a. _______ 2.b. _______
3. Find the tangent ratio.
C
43
74
A
B
a. for /A.
3. a. ____________________
b. for /C.
3. b. ____________________
a. for /D.
4. a. ____________________
b. for /E.
4. b. ____________________
4. Find the tangent ratio.
F
8
D
9
E
Find the side given by the variable.
5.
6.
68
5. _____________________
548
q
318
p
36.4
6. _____________________
7.
18
358
r
7. _____________________
8. A rope at an angle of 388 runs from the ground to the top of a
56.3 ft tree. Find the length of the rope.
8. _____________________
9. A person looks up at an angle of 228 from the horizontal to the
top of a cliff. If the cliff is 118 meters tall, how far is the person
standing from the base of the cliff?
9. _____________________
10. Trigonometry is the study of __________ and their application
to problem solving.
(a) right triangles
88
(b) ratios
(c) calculators
AWSM Foundations of Algebra and Geometry
(d) not here
10. ____________________
© Addison Wesley Longman
Name _____________________________
Chapter 6 Test Form A
Date ______________________________
1. Use the Pythagorean Theorem to find the value of x in each
figure.
8
b.
a.
1. a. ____________________
x
4
10
x
7
1. b. ____________________
2. Which ratio does not belong?
(a) 4:5
(b) 80%
(c) 10:8
(d) 45
(e) 240 out of 300
2. _____________________
3. James paid $8.47 for 7 pens and Muriel paid $12.87 for 11 pens.
Which ratio of cost to pens is greater?
3. _____________________
4. Write each as a fraction, a decimal, and a percentage.
a. $15 out of every $75 is donated to charity.
4. a. ____________________
b. Eleven pens out of every twenty pens were black.
4. b. ____________________
Find the side given by the variable. Round answers to the nearest
hundredth.
5.
81.2
198
f
5. _____________________
6.
428
10.7
6. _____________________
d
9
7.
c
578
7. _____________________
8. A 12-ft rope is tied to the top of a pole and makes an angle of
538 with the pole. How far is the end of the rope from the pole?
© Addison Wesley Longman
8. _____________________
AWSM Foundations of Algebra and Geometry
89
Chapter 6 Test Form A (continued)
Name _____________________________
9. Use the following fractions to complete the conversions.
2 pints
1 quart
1 gallon
4 quarts
1 pint
2 cups
a. 8 gallons per minute = _____ cups per minute
9. a. ____________________
b. 5 cups per minute = _____ quarts per minute
9. b. ____________________
10. A rectangle has a width of 16 ft. A second rectangle is formed
using a scale factor of 5:4. What is the width of the second
rectangle?
10. ____________________
Solve each proportion.
x = 24
11. 15
45
11. ____________________
17 = 30
12. 3.4
x
12. ____________________
13. Find the missing angle measure.
13. ____________________
588
x8
758
14. The pair of triangles is similar. Find the indicated missing
values.
21
14
y
18
26
14.
y = _______________
z = _______________
z
15. Find these values using your calculator.
90
a. sin 188
15. a. ___________________
b. tan 638
15. b. ___________________
c. cos 428
15. c. ___________________
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Chapter 6 Test Form B
Date ______________________________
1. Use the Pythagorean Theorem to find the value of x in each
figure.
x
b.
a.
1. a. ____________________
x
9
3
5
1. b. ____________________
11
2. Which ratio does not belong?
3
(d) 10
(e) 150 out of 500
2. _____________________
3. Michelle paid $7.84 for 8 pens and Larry paid $13.26 for 13
pens. Which ratio of cost to pens is greater?
3. _____________________
(a) 3:10
(b) 30%
(c) 20:6
4. Write each as a fraction, a decimal, and a percentage.
a. $20 out of every $80 is donated to charity.
4. a. ____________________
b. Seven pens out of every twenty pens were blue.
4. b. ____________________
Find the side given by the variable. Round answers to the nearest
hundredth.
5.
49.3
5. _____________________
658
c
6.
18.9
368
7.
d
6. _____________________
m
718
14
7. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
91
Chapter 6 Test Form B (continued)
Name _____________________________
8. A 14-ft rope is tied to the top of a pole and makes an angle of
348 with the pole. How far is the end of the rope from the pole?
8. _____________________
9. Use the following fractions to complete the conversions.
2 pints
1 quart
1 gallon
4 quarts
1 pint
2 cups
a. 7 gallons per minute = _____ cups per minute
9. a. ____________________
b. 9 cups per minute = _____ quarts per minute
9. b. ____________________
10. A rectangle has a width of 32 ft. A second rectangle is formed
using a scale factor of 7:8. What is the width of the second
rectangle?
10. ____________________
Solve each proportion.
11.
x
7
= 16
28
11. ____________________
31 = 25
12. 6.2
x
12. ____________________
13. Find the missing angle measure.
13. ____________________
x8
518
488
14. The pair of triangles is similar. Find the indicated missing
values.
20
35
28
y = _______________
z = _______________
y
25
14.
z
15. Find these values using your calculator.
92
a. cos 788
15. a. ___________________
b. sin 218
15. b. ___________________
c. tan 468
15. c. ___________________
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Chapter 6
Performance Task
Name _____________________________
Date ______________________________
Make a scale model of a building, an airplane, or some other object of interest to you. You may use
paper or pencil, clay, or any other kind of modeling material. Discuss in a paragraph how you used the
concepts of this chapter to create your model.
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
93
Quizzes for Superlesson 7-1
Quiz on 7-1A
Name __________________________
Use the rules for Knucklebones on p. 522 of your textbook to
write the score for each throw.
1. 2 eagles, 1 vulcan, and 1 dog
1. _____________________
2. 2 princes, 1 eagle, and 1 vulcan
2. _____________________
3. 1 eagle, 2 dogs, and 1 vulcan
3. _____________________
Use the bonus points to decide which throw seems less likely to
happen.
4. _____________________
4. Two pairs or four of the same face
Quiz on 7-1B
Name __________________________
Tell which event is more likely.
1. One with probability of 0.4 or one with probability of 4%
1. _____________________
2. One with probability 75% or one with probability of 45
2. _____________________
A survey was sent out to 2000 individuals. Only 430 surveys were
returned.
3. Write the probability that an individual returns the survey as a
fraction.
3. _____________________
4. Write the probability that an individual returns the survey as a
decimal and a percentage.
4. _____________________
94
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 7-1 (continued)
Quiz on 7-1C
Name __________________________
1. Think of rolling a six-sided die.
a. Write the probability of rolling a 4. Give your answer as a
fraction.
1.a. ____________________
b. Write the probability of rolling a number greater than 3.
Give your answer as a percentage.
1.b. ____________________
c. Write the probability of rolling an odd number. Give your
answer as a decimal.
1.c. ____________________
d. Write the probability of rolling a number greater than 4.
Give your answer as a fraction.
1.d. ____________________
2. Think of using a spinner with five equal regions labeled A, B, C,
D, and E. Find each probability and write it as a percentage.
a. landing on C
2.a. ____________________
b. landing on A, B, or D
2.b. ____________________
c. not landing on any letter in the word BED
2.c. ____________________
d. If you spin 25 times, how many times would you expect to
get a B?
2.d. ____________________
Quiz on 7-1D
Name __________________________
1. Use the row of random numbers below.
88528 90556 51361 14725 60312
a. Count the number of odd digits.
b. If you choose a digit at random from this row, what is the
probability that the digit is odd?
1. a. ____________________
1. b. ____________________
2. Karl’s team wins 60% of its games. Suppose the team plays four
games in one month. Use these random digits to simulate the
games.
4831 2915 4656 4990 3352 0989 8906 8218
Let the digits from 1 to 6 stand for wins. Digits 7, 8, 9, and 0 are
losses or ties. Read off 4 digits. Do this 8 times. From this
simulation:
2. a. ____________________
a.
What is the probability of winning all four games?
b.
What is the probability of winning at least two games? 2. b. ____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
95
Name _____________________________
Test 7-1 Form A
Date ______________________________
1. Which event is more likely, one with probability 45%, or one
with probability of 25 ?
1. _____________________
2. Brian passes out a questionnaire to his classmates. There are 40
students in the class and 26 return the questionnaire. Write the
probability that a student returns the questionnaire as a fraction
and a percentage.
2. _____________________
3. Tell whether the probability of finding a dollar on your way
home from school today is closest to 0, 1, or 0.5. Explain your
thinking.
3. _____________________
Think of rolling a six-sided die.
4. Write the probability of rolling a number less than 4. Give your
answer as a percentage.
5. Write the probability of rolling a 2. Give your answer as a
fraction.
Suppose this spinner is used to award a prize.
B
4. _____________________
5. _____________________
D
A
C
A
A
6. Which letter are you most likely to land on?
6. _____________________
7. Is the probability of spinning a B greater than, the same as, or
less than the probability of spinning a C?
7. _____________________
8. If you spin 32 times, how many times do you expect to land on
B?
8. _____________________
9. When you use real-life data to calculate probability, you are
using __________.
(a) experimental probability
(b) theoretical probability
(c) simulations
(d) not here
10. Cheryl wins 30% of her chess games. She plays five games in
one week. Use these random numbers to simulate her games.
78439 73316 34117 14621 87293 02964 70863 42859
Let the digits 1, 2, and 3 stand for games she wins. The other
digits stand for losses or stalemates (draws). Read off five
digits. Do this 8 times. From this simulation:
96
9. ____________________
a. What is the probability that she wins just one game?
10. a. _________________
b. What is the probability that she wins two or fewer games?
10. b. ________________
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 7-1 Form B
Date ______________________________
1. Which event is more likely, one with probability 55%, or one
with probability of 35 ?
1. _____________________
2. Sylvia passes out a questionnaire to her classmates. There are 32
students in the class and 12 return the questionnaire. Write the
probability that a student returns the questionnaire as a fraction
and a percentage.
2. _____________________
3. Tell whether the probability of leaving your classroom before
midnight today is closest to 0, 1, or 0.5. Explain your thinking.
3. _____________________
Think of rolling a six-sided die.
4. Write the probability of rolling a number greater than 4.
Give your answer as a percentage.
5. Write the probability of rolling a 6. Give your answer as a
fraction.
Suppose this spinner is used to award a prize.
A
4. _____________________
5. _____________________
D
E
D
B
C D
6. Which letter are you most likely to land on?
7. Is the probability of spinning a B greater than, the same as, or
less than the probability of spinning a C?
8. If you spin 40 times, how many times do you expect to land on
A?
9. If you use dice or spinners to represent real-life outcomes, you
are using __________.
(a) experimental probability
(b) theoretical probability
(c) simulations
(d) not here
10. Michelle wins 40% of her chess games. She plays five games in
one week. Use these random numbers to simulate her games.
78439 73316 34117 14621 87293 02964 70863 42859
Let the digits 1 to 4 stand for games she wins. The other digits
stand for losses or stalemates (draws). Read off five digits. Do
this 8 times. From this simulation:
6. _____________________
7. _____________________
8. _____________________
9. ____________________
a. What is the probability that she wins just one game?
10. a. _________________
b. What is the probability that she wins two or fewer games?
10. b. _________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
97
Quizzes for Superlesson 7-2
Quiz on 7-2A
Name ___________________________
Consider all the possible outcomes when rolling a die and tossing a
coin.
1. What is the probability of getting a 5 on the die and heads on
the coin?
1. _____________________
2. What is the probability of getting any combination with a 3 on
the die?
2. _____________________
3. What is the probability of getting any combination with a head
on the coin?
3. _____________________
4. A pizza parlor has 3 types of cheese, 4 types of meat, and 3
types of vegetable toppings. How many different pizzas can be
made using one type each of cheese, meat, and vegetable
toppings?
4. _____________________
Quiz on 7-2B
Name ___________________________
1. In how many ways can five objects be arranged in order?
1. _____________________
2. Five people are in a contest. In how many ways can 1st and 2nd
prize awards be given?
2. _____________________
Seven people are eligible for a prize.
3. In how many ways can 1st, 2nd, and 3rd-prizes be awarded?
3. _____________________
4. What is the probability of guessing the winners in order?
4. _____________________
98
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 7-2 (continued)
Quiz on 7-2C
Name ___________________________
1. In how many ways can 2 objects be chosen from a group of 5
objects?
1. _____________________
2. In how many ways can three people be selected for a committee
from a group of five people?
2. _____________________
3. How many three-letter sets can you form from the word luck?
3. _____________________
4. Suppose you are one person in a group of six people drawing
for three concert tickets. What is the probability that you will
receive a ticket?
4. _____________________
Quiz on 7-2D
Name ___________________________
1. A forecaster announced an 80% chance of clear skies.
Write the odds in favor of clear skies.
1. _____________________
The odds against winning a prize in a contest are 9 to 1.
2. What is the probability of winning the prize?
2. _____________________
3. If 100 people enter the contest, how many would you expect to
not win a prize?
3. _____________________
4. A poll taken after a movie showed that 9 out of 20 people
enjoyed the film. What are the odds against enjoying the film?
4. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
99
Name _____________________________
Test 7-2 Form A
Date ______________________________
For exercises 1–2, consider all of the possible outcomes when rolling
a die and tossing a coin.
1. What is the probability of getting a 3 on the die and a heads on
the coin?
1. _____________________
2. What is the probability of getting any combination with a 1 on
the die?
2. _____________________
3. A deli has 4 types of cheese, 5 types of meat, and 4 different
rolls. How many different sandwiches can be made using one
type each of cheese, meat, and roll?
3. _____________________
For exercises 4–6, seven people are eligible to be on a four-person
panel.
4. In how many ways can the panel be formed if the order in which 4. _____________________
they are chosen does not matter?
5. What is the probability of guessing who the panel members will
be?
5. _____________________
6. If the four positions on the panel are unique, in how many ways
can the four positions be filled?
6. _____________________
7. Six people are in a contest. In how many ways can 1st- and 2ndplace awards be given?
7. _____________________
8. A forecaster announced a 40% chance that a candidate will win
an election. Write the odds in favor of the candidate winning.
8. _____________________
9. A poll taken after a show indicated that 21 out of 25 people
enjoyed the show.
a. What are the odds in favor of a person enjoying the show?
9.a. ____________________
b. What are the odds against a person enjoying the show?
9.b. ____________________
c. What is the probability that a person enjoys the show?
Give your answer as a percent.
9.c. ____________________
10. If you roll a die and try to get a number less than 5, then 1 to 2
is the __________ .
10. ____________________
100
(a) probability
(b) odds in favor
(c) odds against
(d) not here
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test 7-2 Form B
Date ______________________________
For exercises 1–2, consider all of the possible outcomes when rolling
a die and tossing a coin.
1. What is the probability of getting an even number on the die and
a tails on the coin?
1. _____________________
2. What is the probability of getting any combination with heads
on the coin?
2. _____________________
3. A deli has 3 types of cheese, 5 types of meat, and 2 different
rolls. How many different sandwiches can be made using one
type each of cheese, meat, and roll?
3. _____________________
For exercises 4–6, eight people are eligible to be on a three-person
panel.
4. In how many ways can the panel be formed if the order in which 4. _____________________
they are chosen does not matter?
5. What is the probability of guessing who the panel members will
be?
5. _____________________
6. If the three positions on the panel are unique, in how many ways
can the three positions be filled?
6. _____________________
7. Seven people are in a contest. In how many ways can 1st- and
2nd-place awards be given?
7. _____________________
8. A forecaster announced a 30% chance that a candidate will win
an election. Write the odds in favor of the candidate winning.
8. _____________________
9. A poll taken after a show indicated that 13 out of 20 people
enjoyed the show.
a. What are the odds in favor of a person enjoying the show?
9.a. ____________________
b. What are the odds against a person enjoying the show?
9.b. ____________________
c. What is the probability that a person enjoys the show?
Give your answer as a percent.
9.c. ____________________
10. If you roll a die and try to get a number greater than 4, then 1 to
2 is the __________ .
10. ____________________
(a) probability
(b) odds in favor
(c) odds against
(d) not here
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
101
[Page 102 is blank.]
Name _____________________________
Chapter 7 Test Form A
Date ______________________________
1. The following ratios are probabilities of events.
3, 3, 2, 1, 5
7 4 9 4 15
1. a. ___________________
a. Choose the event with the greatest probability.
1. b. ___________________
b. Choose the event with the least probability.
2. The odds against winning a prize in a contest are 3 to 2. If 100
people play the game, how many would you expect to win a
prize?
2. _____________________
3. A deli has 6 types of meat, 4 types of cheese, and 3 types of
rolls. How many different sandwiches can be made using one
type each of meat, cheese, and roll?
3. _____________________
4. Use the spinner to find each probability. Give your answers in
fraction form.
D
E
B
B
A
C
B
a. landing on B
4. a. ____________________
b. landing on C, D, or E
4. b. ____________________
c. not landing on E
4. c. ____________________
d. not landing on any letter in the word BAD.
4. d. ____________________
5. To win a game, a player must roll a number less than 4 as the
sum of two ordinary dice. What is the probability of winning on
the next roll?
5. _____________________
6. A bowler has hit a strike on 7 out of each 10 frames he plays.
He picks this row of the random-number table to simulate what
will happen in his next 25 frames. Digits from 1 to 7 stand for
strikes and the others stand for any other score.
73256
02968
31129
66588
48126
What probability does the simulation show for getting a strike?
© Addison Wesley Longman
6. _____________________
AWSM Foundations of Algebra and Geometry
103
Chapter 7 Test Form A (continued)
Name _____________________________
7. Two dice are rolled at the same time.
a. What is the probability of getting a 5 and a 6?
7. a. ___________________
b. What is the probability of getting two 3’s?
7. b. ___________________
8. A group of 4 men and 6 women are eligible to be on a 4-person
panel.
a. How many panels can be formed from this group?
8. a. ___________________
b. How many panels can be formed with only the women?
8. b. ___________________
c. How many panels can be formed with only the men?
8. c. ___________________
9. How many ways can the letters of the word TREE be mixed in
the wrong order?
10. What is the probability of hitting a number greater than 5?
12
9. _____________________
10. ____________________
6
9
1
3
4
5
7
11. The probability of an event is 35%.
a. What is the probability the event won’t happen?
11. a. __________________
b. What are the odds in favor of the event?
11. b. __________________
12. Eight people are in a contest. In how many ways can 1st-, 2ndand 3rd-prize awards be given?
12. ____________________
13. A store owner distributed a questionnaire to 250 customers.
Only 85 were returned. What is the probability that a customer
returned the survey? Show the probability as a fraction, decimal,
and percentage?
13. ____________________
104
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Chapter 7 Test Form B
Date ______________________________
1. The following ratios are probabilities of events.
3, 4, 4, 1, 8
5 7 9 3 15
a. Choose the event with the greatest probability.
1. a. ___________________
b. Choose the event with the least probability.
1. b. ___________________
2. The odds against winning a prize in a contest are 6 to 4. If 100
people play the game, how many would you expect to win a
prize?
2. _____________________
3. A deli has 5 types of meat, 5 types of cheese, and 4 types of
rolls. How many different sandwiches can be made using one
type each of meat, cheese, and roll?
3. _____________________
4. Use the spinner to find each probability. Give your answers in
fraction form.
D
E
B
B
A
C
B
a. landing on E
4. a. ____________________
b. landing on A, B, or C.
4. b. ____________________
c. not landing on A
4. c. ____________________
d. not landing on any letter in the word ABE.
4. d. ____________________
5. To win a game, a player must roll a number greater than 9 as the
sum of two ordinary dice. What is the probability of winning on
the next roll?
5. _____________________
6. A bowler has hit a strike on 8 out of each 10 frames she plays.
She picks this row of the random-number table to simulate what
will happen in her next 25 frames. Digits from 1 to 8 stand for
strikes and the others stand for any other score.
88047
68960
52991
67703
29805
What probability does the simulation show for getting a strike?
© Addison Wesley Longman
6. _____________________
AWSM Foundations of Algebra and Geometry
105
Chapter 7 Test Form B (continued)
Name _____________________________
7. Two dice are rolled at the same time.
a. What is the probability of getting a 2 and a 4?
7. a. ___________________
b. What is the probability of getting two 4’s?
7. b. ___________________
8. A group of 5 women and 6 men are eligible to be on a 5-person
panel.
a. How many panels can be formed from this group?
8. a. ___________________
b. How many panels can be formed with only the men?
8. b. ___________________
c. How many panels can be formed with only the women?
8. c. ___________________
9. How many ways can the letters of the word AFAR be mixed in
the wrong order?
9. _____________________
10. What is the probability of hitting a number less than 7?
12
10. ____________________
6
9
1
3
4
5
7
11. The probability of an event is 85%.
a. What is the probability the event won’t happen?
11. a. __________________
b. What are the odds in favor of the event?
11. b. __________________
12. Seven people are in a contest. In how many ways can 1st- and
2nd-prize awards be given?
12. ____________________
13. A restaurant manager distributed a questionnaire to 400
customers. Only 96 were returned. What is the probability that a
customer returned the survey? Show the probability as a
fraction, decimal, and percentage.
13. ____________________
106
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Chapter 7
Performance Task
Date ______________________________
The spinner shown below has three equal sections labeled A, B, and C. Suppose a person spins three
times. Which is more likely: to get each letter exactly once in any order, or to get the same letter all
three times?
In the space below, show the possibilities for each situation using at least two methods from this
chapter. Find and compare the probabilities. Discuss your results.
B
A
C
Complete the list.
Getting Each Letter Exactly Once
Complete the list.
Getting Same Letter Each Time
1. B A C
1. A A A
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
107
Quizzes for Superlesson 8-1
Quiz on 8-1A
Name __________________________
Sketch a graph showing how the quantities change in relation to each other.
1. the price of a drink; the number of drinks you can buy for $10
1.
2. the age of a puppy; the puppy’s weight
2.
3. the speed of a car accelerating; time
3.
4. Name a quantity that the area of a circle depends on.
4. ____________________
108
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 8-1 (continued)
Quiz on 8-1B
Name __________________________
Complete each table of values.
1. y = 3x + 7
x
–3
–1
y
2. y = x2 + 1
x
y
1. Complete the table.
0
2
4
5
2. Complete the table.
–2
3. r = 12c – 5
c
–1
–1
0
1
2
3. Complete the table.
0
3
7
10
r
4. Give the equation that relates the variables.
x
–1
0
3
7
10
y
2
0
–6
–14
–20
4. _____________________
Quiz on 8-1C
Name __________________________
1. Graph the equation y = 2x + 5
1.
y
10
x
10
210
210
Use the graph of y = –x + 4 to find 2.
the solution to each equation.
y
3.
10
4.
210
0
–1 = –x + 4
2. _____________________
7 = –x + 4
3. _____________________
2 = –x + 4
4. _____________________
x
10
210
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
109
Name _____________________________
Test 8-1 Form A
Date ______________________________
Sketch a graph showing how the quantities change in relation to each other.
1. the price of snacks; the number of snacks you can buy for $5.00 1.
2. the speed at which you drive; length of time it takes you to drive 2.
200 miles
Complete each table of values.
3. y = 4x – 1
3. Complete the table.
x
–2
–1
0
1
2
3
y
4. Complete the table.
4. y = 2(x – 3)
x
–3
–1
0
1
2
3
y
5. Give the equation that relates the variables.
110
x
–7
–3
0
1
2
4
y
–10
–6
–3
–2
–1
1
AWSM Foundations of Algebra and Geometry
5. _____________________
© Addison Wesley Longman
Test 8-1 Form A (continued)
Name
Graph each equation.
7. y = –x – 3
6. y = 3x + 4
y
5
10
x
10
210
6.–7. Graph the equations to the
left.
210
y
25
5
x
25
8. The cost to a company to produce an item is a $120 start-up cost 8.a. ____________________
plus $10 per item produced.
8.b.
500
a. Let y = total cost and let x = number of items produced.
Write an equation expressing the relationship
between x and y.
y
400
300
b. Graph the equation.
200
c. How many items are produced when the cost is $280?
100
5
10
15
x
25
20
8.c. ____________________
9. Graph y = x2 – 4.
9.
5
y
25
5
x
25
10. When the value of y depends on the value of x, x is called ____.
(a) the dependent variable
(c) the independent variable
© Addison Wesley Longman
(b) the change
(d) not here
10. _____________________
AWSM Foundations of Algebra and Geometry
111
Name _____________________________
Test 8-1 Form B
Date ______________________________
Sketch a graph showing how the quantities change in relation to each other.
1. the amount of money you spend; the number of pencils you can
buy
1.
2. the speed at which you type; the number of pages you can type
in an hour
2.
Complete each table of values.
3. y = 3x + 4
x
3. Complete the table.
–2
–1
0
1
2
3
y
4. Complete the table.
4. y = 4(x – 2)
x
–3
–1
0
1
2
3
y
5. Give the equation that relates the variables.
112
x
–8
–5
0
1
2
5
y
–4
–1
4
5
6
9
AWSM Foundations of Algebra and Geometry
5. _____________________
© Addison Wesley Longman
Test 8-1 Form B (continued)
Name
Graph each equation.
7. y = –x + 2
6. y = 4x – 2
y
5
10
x
10
210
6.–7. Graph the equations to the
left.
210
y
25
5
x
25
8. The cost to a company to produce an item is a $150 start-up cost 8.a. ____________________
plus $20 per item produced.
8.b.
500
a. Let y = total cost and let x = number of items produced.
Write an equation expressing the relationship
between x and y.
y
400
300
b. Graph the equation.
200
c. How many items are produced when the cost is $410?
100
5
10
15
x
25
20
8.c. ____________________
9. Graph y = x2 – 2.
9.
5
y
25
5
x
25
10. When the value of y depends on the value of x, y is called ____.
(a) the dependent variable
(c) the independent variable
© Addison Wesley Longman
(b) the change
(d) not here
10. _____________________
AWSM Foundations of Algebra and Geometry
113
Quizzes for Superlesson 8-2
Quiz on 8-2A
Name ___________________________
Tell whether each function is linear.
1.
2.
Cost of Purchase ($)
2.00
4.00
8.00
10.00 12.00
Sales Tax ($)
0.12
0.24
0.48
0.60
0.72
1
3
4
5
6
6
18
24
30
36
Number of people
attending concert
Total price paid for
tickets ($)
3.
5
2. _____________________
3. _____________________
y
25
1. _____________________
5
x
25
4.
5
4. _____________________
y
25
5
x
25
114
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Quizzes for Superlesson 8-2 (continued)
Quiz on 8-2B
Name ___________________________
Give the slope of the line.
5
y
a
25
5
x
b
25
1. line a
1. _____________________
2. line b
2. _____________________
Find the slope of the line.
3. the line through (2, 5) and (–1, –4)
3. _____________________
4. the line through (–4, 2) and (–6, 7)
4. _____________________
Use the slope and y-intercept to graph the line.
5. y = –2x + 3
5.
5
y
25
5
x
25
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
115
Name _____________________________
Test 8-2 Form A
Date ______________________________
Tell whether each function is linear.
1.
2.
Number of hours worked
1
2
3
4
6
Number of tasks completed
8
16
20
28
44
Age of plant (wk)
10
12
14
16
18
Height of plant (cm)
12
15
18
21
24
3.
5
2. _____________________
3. _____________________
y
25
1. _____________________
5
x
25
4.
5
4. _____________________
y
25
5
x
25
116
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test 8-2 Form A (continued)
Name
Give the y-intercept of the line.
5
y
b
25
5
x
a
25
5. line a
5. _____________________
6. line b
6. _____________________
Find the slope of the each line.
7. the line through (4, –2) and (10, 1)
7. _____________________
8. the line through (–3, 1) and (–2, –2)
8. _____________________
9. A rental store charges $20 plus $6 an hour to rent an item.
a. Write an equation expressing the cost as a function of the
number of hours.
9.a. ____________________
b. Give the slope and y-intercept of this equation.
9.b. ____________________
c. Graph the equation.
9.c.
100
y
80
60
40
20
2
4
6
x
10
8
10. A function that is graphed as a straight line is __________.
(a) independent
© Addison Wesley Longman
(b) linear
(c) dependent
(d) not here
10. ____________________
AWSM Foundations of Algebra and Geometry
117
Name _____________________________
Test 8-2 Form B
Date ______________________________
Tell whether each function is linear.
1.
2.
Number of hours worked
2
4
6
8
10
Number of dollars earned
15
30
45
60
75
Age of dog (months)
6
8
10
12
14
Weight of dog (lb)
24
28
32
35
37
3.
5
25
2. _____________________
3. _____________________
y
0
1. _____________________
5
x
25
4.
5
25
0
4. _____________________
y
5
x
25
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AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test 8-2 Form B (continued)
Name
Give the y-intercept of the line.
5
y
a
25
0
5
x
b
25
5. line a
5. _____________________
6. line b
6. _____________________
Find the slope of the each line.
7. the line through (3, 8) and (12, 5)
7. _____________________
8. the line through (–3, –1) and (–1, 3)
8. _____________________
9. A rental store charges $10 plus $8 an hour to rent an item.
a. Write an equation expressing the cost as a function of the
number of hours.
9.a. ____________________
b. Give the slope and y-intercept of this equation.
9.b. ____________________
c. Graph the equation.
9.c.
100
y
80
60
40
20
2
4
6
x
10
8
10. A function that is graphed as a straight line is __________.
(a) linear
(b) dependent
© Addison Wesley Longman
(c) independent
(d) not here
10. ____________________
AWSM Foundations of Algebra and Geometry
119
Quizzes for Superlesson 8-3
Quiz on 8-3A
Name ___________________________
Determine whether each is a linear function or a nonlinear function.
1. y = 2 – x + 3x 2
1. _____________________
2. y = 7 – 13x
2. _____________________
3. Which of the following is the correct equation of the graph?
5
y
(a) y = 2x + 1
3. _____________________
(b) y = 2x2
(c) y = –2x 2
25
5
x
(d) y = –2x
25
Quiz on 8-3B
Name ___________________________
Identify the function as linear, quadratic, square root, or exponential.
1.
y = 0.4 x
1. _____________________
2.
5x = y
2. _____________________
3.
y = 2x 2 − 5
3. _____________________
Graph each equation.
4.
y = x+2
5.
5
25
120
4.–5. Graph the equations to the
left.
y
10
y
5
25
y = 2 x−1
x
25
AWSM Foundations of Algebra and Geometry
0
5
x
© Addison Wesley Longman
Name _____________________________
Test 8-3 Form A
Date ______________________________
Identify the function as linear, quadratic, square root, or exponential.
1.
y = 3x 2 − 2x +1
2.
y = 0.8 x
1. _________ 2. _________
3.
y = 7x
4.
y = 0.1x
3. _________ 4. _________
5.
y = − 17 x 2
5. _____________________
Graph each function.
y = −2x 2
6.
7.
5
y = 4 x +1
6.–7. Graph the equations to the
left.
y
10
y
25
5
x
25
25
5
0
x
8. A ball dropped from a height of 48 feet rebounds to a height of
36 feet. Each bounce is proportional to the previous one
according to the equation y = 48(0.75) b, where b is the number
of bounces.
a. Make a table of values showing the maximum height of the
first five bounces.
Bounce
1
2
3
4
5
8.a. Complete the table.
8.b.
50
y
40
30
20
Maximum
height (ft)
10
b. Graph bounce height as a function of bounce number.
c. What type of function have you graphed?
0
1
2
3
x
5
4
8.c. ____________________
9. Graphs of quadratic functions are called __________.
(a) parabolas
© Addison Wesley Longman
(b) lines
(c) exponential
(d) not here
9. _____________________
AWSM Foundations of Algebra and Geometry
121
Name _____________________________
Test 8-3 Form B
Date ______________________________
Identify the function as linear, quadratic, square root, or exponential.
1.
y = 5x
2.
y = 2.3x
1. _________ 2. _________
3.
y = 2x 2 − 5x + 3
4.
y = 0.9 x
3. _________ 4. _________
5. y = 3x – 4
5. _____________________
Graph each function.
y = 2 − x2
6.
7.
5
y=3 x+2
6.–7. Graph the equations to the
left.
y
10
y
25
5
x
25
25
0
5
x
8. A ball dropped from a height of 125 feet rebounds to a height of 8.a. Complete the table.
100 feet. Each bounce is proportional to the previous one
8.b.
according to the equation y = 125(0.8) b, where b is the number 100
of bounces.
80
a. Make a table of values showing the maximum height of the
first five bounces.
Bounce
1
2
3
4
5
Maximum
height (ft)
b. Graph bounce height as a function of bounce number.
60
40
20
0
1
2
3
4
5
8.c. ____________________
c. What type of function have you graphed?
9. A parabola is the graph of a(n) __________ function.
(a) exponential (b) quadratic (c) square root (d) not here
122
AWSM Foundations of Algebra and Geometry
9. _____________________
© Addison Wesley Longman
Name _____________________________
Chapter 8 Test Form A
Date ______________________________
Tell whether each function is a linear, quadratic, square root, or
exponential function.
1. 5 x = y
2.
y = 3 x +3
1. __________ 2. _________
y = 9 − 2x
3. __________ 4. _________
3.
y = 5x 2 − x +1
4.
5.
y = −(0.3) x+1
6. 2x + 5y = 21
7.
x
1
4
9
16
25
36
y
1
2
3
4
5
6
8.
5
5. __________ 6. _________
7. _____________________
8. _____________________
y
25
5
x
25
9. Use the equation y = −2x + 25 .
9.a. ____________________
a. Name the dependent and independent variable.
9.b. ____________________
b. Give the slope of the line and its y-intercept.
9.c.
5
c. Use the slope of the line and its y-intercept to graph the line.
y
25
5
x
25
10. Find the slope of the line containing the points.
a. (–4, 3) and (–3, 1)
10.a. ___________________
b. (5, –2) and (1, 1)
10.b ___________________
c. (2, 4) and (–6, 4)
10.c. ___________________
d. (–3, 1) and (4, –3)
10.d ___________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
123
Chapter 8 Test Form A (continued)
Name _____________________________
11. The cost to produce items for a firm is a $50 start-up cost plus
$8 per item.
11.a. ___________________
11.b.
Let y = the total cost
Let x = the number of items
250
y
200
a. Write y as a function of x.
150
b. Graph this function.
100
c. How many items are produced when the cost is $106?
50
0
5
10
15
20
x
25
11.c. ___________________
Graph the equations.
12. y = 2x 2 + 3
13. y = 2 x + 3
y
10
5
25
25
0
5
x
12.–13. Graph the equations to
the left.
y
5
x
25
14. The height of a ball dropped from a 32 ft tall tree is found by the 14.a.
h
equation h = −16t 2 + 32 where t is the number of seconds.
a. Graph h as a function of t.
40
b. Give the height of the ball at t = 1.
30
c. Give the length of time the ball is in the air.
20
10
1
t
2
14.b. __________________
14.c. __________________
15. Name a quantity that the price of a box of cereal depends on.
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AWSM Foundations of Algebra and Geometry
15. _____________________
© Addison Wesley Longman
Name _____________________________
Chapter 8 Test Form B
Date ______________________________
Tell whether each function is a linear, quadratic, square root, or
exponential function.
1.
y = 4 x−5
2. 7 x = y
1. __________ 2. _________
3.
y = −7x 2 + 5x −12
4. y = −(0.9) x − 1
3. __________ 4. _________
5.
y = 4 − 8x
6. 3x + 4y = 24
5. __________ 6. _________
7.
x
–2
–1
0
1
2
3
y
8
4
0
–4
–8
–12
8.
5
7. _____________________
y
25
8. _____________________
5
x
25
9. Use the equation y = −3x + 23 .
9.a. ____________________
a. Name the dependent and independent variable.
9.b. ____________________
b. Give the slope of the line and its y-intercept.
9.c.
5
y
c. Use the slope of the line and its y-intercept to graph the line.
25
5
x
25
10. Find the slope of the line containing the points.
a. (–5, –3) and (2, –3)
10.a. ___________________
b. (–4, 2) and (–2, –6)
10.b. ___________________
c. (–3, –1) and (1, 2)
10.c. ___________________
d. (3, –3) and (1, –5)
10.d. ___________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
125
Chapter 8 Test Form B (continued)
Name _____________________________
11. The cost to produce items for a firm is a $60 start-up cost plus
$5 per item.
11.a. ___________________
11.b.
Let y = the total cost
Let x = the number of items
250
y
200
a. Write y as a function of x.
150
b. Graph this function.
100
c. How many items are produced when the cost is $135?
50
0
5
10
15
20
x
25
11.c. ___________________
Graph the equations.
12. y = 3x 2 − 2
5
25
13. y = 2 x + 2
y
5
5
x
25
25
12.–13. Graph the equations to the
left.
y
5
x
25
14. A ball dropped from a height of 128 ft is found by the equation
h = −16t 2 + 128 where t is the number of seconds.
14.a.
200
h
a. Graph h as a function of t.
b. Give the height of the ball at t = 1.
100
c. Give the length of time the ball is in the air.
0
1
2
3
4
t
5
14.b. __________________
14.c. __________________
15. Name a quantity that the weight of a dining table depends on.
126
AWSM Foundations of Algebra and Geometry
15. _____________________
© Addison Wesley Longman
Chapter 8
Performance Task
Name _____________________________
Date ______________________________
Draw sketches of places around your school that have slope and estimate each slope.
For each sketch, explain how you got your estimate by writing a paragraph or labeling your sketch.
Your explanation should be directed to the principal so you need to impress him or her with your
vocabulary from this chapter.
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
127
[Page 128 is blank.]
Name _____________________________
Test on Chapters 1-2 Form A
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
1. It was 62°F at 10:00 a.m. and 81°F at 2:00 p.m.
a. Show these two temperatures on a number line.
1.a.
b. How much did the temperature increase between 10:00 a.m.
and 2:00 p.m.?
1.b. ____________________
c. Where on the number line will you find the coordinates for
temperatures that are colder than 57°F and warmer than
22°F?
1.c. ____________________
2.a.
2. a. Plot on the graph and label the points A(2, –3), B(–2, 0),
C(1, 4).
5
y
25
5
x
25
b. Plot and label point D which is 1 unit left and 2 units down
from point C.
c. Which of the points A, B, C, or D is on the vertical axis?
2.b. Use the coordinate grid
above.
2.c. ____________________
3. The table shows the temperature on five days.
1
A
B
C
D
E
F
G
Day
1
2
3
4
5
mean
81
76
75
83
87
2 Temperature
a. Which cell shows the temperature on Day 3?
3.a. ____________________
b. Which cells would you use to find the mean temperature for
all 5 days?
3.b. ____________________
c. Find the value for cell G2.
3.c. ____________________
4. Julie kept a record of her test scores for 9 tests. Find the range,
mode, and median of her test scores: 85, 79, 81, 87, 94, 83, 87,
96, 84
© Addison Wesley Longman
4. _____________________
AWSM Foundations of Algebra and Geometry
129
Test on Chapters 1-2 Form A (Continued)
Name _____________________________
5.
Percentage of TV households
tuned to the game
Super Bowl
50
a. What information is shown
on the horizontal axis?
5.a. ____________________
b. Could you make a circle
graph with this information?
Explain.
5.b. ____________________
40
30
20
10
1967 1974 1982 1989 1994
Years
Calculate.
6. 4(5 2 – 12)
7.
(–6) + √
 9 – 2(–4)
6. _________ 7.___________
8. 36 ÷ 9 + 6
9.
(4 – 11)6
8. _________ 9.___________
10. Write an algebraic expression for twice the width (w), increased
by 3 feet.
10. ____________________
Simplify.
11. 3(x + 4) + 7(–2x + 1)
12. (6x2 – 5) + (2x2 + 6)
11. ________ 12.__________
13. (2x2 + 5x – 4) – (2x – 1)
14. (5x – 3)2
13. ________ 14.__________
15. Ted is working with algebra tiles.
a.
What expression do his tiles
represent?
b.
Draw a picture of tiles to
represent the opposite of this
expression.
15.a. ___________________
15.b.
c. What expression does your picture of the opposite represent?
15.c. ___________________
16. The expression 0.27 + 0.18n, where n is the number of minutes, 16.a. ___________________
gives the cost of a long distance phone call in dollars. How
16.b. ___________________
much will a call cost if you talk for
a. 12 minutes?
130
b. 20 minutes?
AWSM Foundations of Algebra and Geometry
c. 47 minutes?
16.c. ___________________
© Addison Wesley Longman
Name _____________________________
Test on Chapters 1-2 Form B
Date ______________________________
Write your answer in the blank space provided. If your answer is too long, use the answer blank to
indicate where your answer can be found (left side, back side, attached page, etc.).
1. It was 54°F at 10:00 a.m. and 79°F at 2:00 p.m.
a. Show these two temperatures on a number line.
1.a.
b. How much did the temperature increase between 10:00 a.m.
and 2:00 p.m.?
1.b. ____________________
c. Where on the number line will you find the coordinates for
temperatures that are colder than 84°F and warmer than
60°F?
2. a. Plot on the graph and label the points A(–3, –3), B(2, 4),
C(0, –3).
1.c. ____________________
2.a.
5
y
25
5
x
25
b. Plot and label point D which is 1 unit right and 3 units up
from point A.
c. Which of the points A, B, C, or D is on the vertical axis?
2.b. Use the coordinate grid
above.
2.c. ____________________
3. The table shows the temperature on five days.
1
A
B
C
D
E
F
G
Day
1
2
3
4
5
mean
59
73
70
68
67
2 Temperature
a. Which cell shows the temperature on Day 2?
3.a. ____________________
b. Which cells would you use to find the mean temperature for
all 5 days?
3.b. ____________________
c. Find the value for cell G2.
3.c. ____________________
4. James kept a record of his test scores for 9 tests. Find the range,
mode, and median of his test scores: 91, 88, 93, 81, 91, 76, 79,
89, 83
4. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
131
Test on Chapters 1-2 Form B (Continued)
Name _____________________________
5.
Percentage of TV households
tuned to the game
Super Bowl
50
a. What information is shown
on the vertical axis?
5.a. ____________________
b. Does this graph show the
actual number of people
who watched the Super
Bowl on TV in 1982?
Explain.
5.b. ____________________
40
30
20
10
1967 1974 1982 1989 1994
Years
Calculate.
6. 7(3 2 – 4)
7. (–8) + √
16 – 3(–2)
6. _________ 7.___________
8. 48 ÷ 8 + 5
9. (4 – 14)4
8. _________ 9.___________
10. Write an algebraic expression for twice the width (w), increased
by 7 feet.
10. ____________________
Simplify.
11. 4(x + 3) + 8(–2x + 3)
12. (7x2 – 8) + (2x2 + 5)
11. ________ 12.__________
13. (4x2 + 5x – 6) – (3x – 2)
14. (4x – 7)3
13. ________ 14.__________
15. Jamie is working with algebra tiles.
a. What expression do her tiles
represent?
15.a. ___________________
15.b.
b. Draw a picture of tiles to represent the
opposite of this expression.
c. What expression does your picture of the opposite represent?
15.c. ___________________
16. The expression 0.24 + 0.17n, where n is the number of minutes, 16.a. ___________________
gives the cost of a long distance phone call in dollars. How
16.b. ___________________
much will a call cost if you talk for
a. 14 minutes?
132
b. 25 minutes?
AWSM Foundations of Algebra and Geometry
c. 51 minutes?
16.c. ___________________
© Addison Wesley Longman
Name _____________________________
Test on Chapters 1-4 Form A
Date ______________________________
1.
Super Bowl XXIX
Ticket Share
League
office
25%
a. What two sectors together receive
40% of the sale of the tickets?
NFC team
17.5%
Other 25
member clubs
30%
1.a. ____________________
b. If a ticket sold for $200, how much 1.b. ____________________
of the sale would the AFC team
receive?
AFC team
17.5 %
Host
team
10%
2. The table shows Marcus’s scores on 5 tests.
A
B
C
D
E
F
G
1
Test
1
2
3
4
5
mean
2
Score
84
91
93
87
76
a. Which cell shows Marcus’s score on Test 4?
2.a. ____________________
b. Which cells would you use to find his total score on the
tests?
2.b. ____________________
c. Find the value for cell G2.
2.c. ____________________
3. Make a stem-and-leaf diagram for the fines for traffic
violations: $92, $84, $110, $109, $107, $96, $81, $92, $110,
$119, $98, $105, $102.
4. Pauline kept a record of her past 9 test scores. Find the range,
mode, and median of her test scores: 75, 93, 84, 89, 93, 91, 85,
79, 81
© Addison Wesley Longman
3.
4. _____________________
AWSM Foundations of Algebra and Geometry
133
Test on Chapters 1-4 Form A (Continued)
Name _____________________________
Calculate.
5. 9(5 2 – 17)
5. _____________________
6. (–4) + 7 + (–9) – 2
6. _____________________
7. (5 – 14)3
7. _____________________
8. 60 ÷ 2 + 4 × 3
8. _____________________
9. Write an algebraic expression for half the length (l ), increased
by 3 yards.
9. _____________________
10. (4x2 + 7x – 12) – (x2 – x + 1)
10. ____________________
11. (6x – 4) + 8(–3x + 1) – 5(x – 5)
11. ____________________
12. (3x2 + 5) – 3(2x – 2)
12. ____________________
13. The expression 0.31 + 0.22x, where x is the number of minutes,
gives the cost of a long distance call. How much will a call cost
if you talk for
a. 17 minutes?
13.a. __________________
b. 35 minutes?
13.b. __________________
c. 1 hour?
13.c. __________________
Find the image of each point after the given translation.
14. B(4, –5); <–5, –1>
14. ____________________
15. D(–3, 6); <1, –3>
15. ____________________
16. G(–5, –2); <–3, 4>
16. ____________________
134
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test on Chapters 1-4 Form A (Continued)
Name _____________________________
Name the coordinates of the image if the original point is reflected
over the indicated axis.
17. H(–4, 5); x-axis
17. ____________________
18. J(–6, 2); y-axis
18. ____________________
19. Draw the other half of the figure so that the line is a line of
symmetry.
19.
20. Decide whether to slide, slide and flip, or slide and turn
Figure A to fit on Figure B.
A
B
20. ____________________
21. Give a rotation that is the same as a rotation of 70˚ clockwise.
21. ____________________
Find the missing elements in each of the following patterns.
22. 3, –6, 12, –24, 48, _____, _____, _____
22. ____________________
23. 4, 9, 14, 19, 24, _____, _____, _____
23. ____________________
Fill in the missing information in the chart.
Expression
24.
3(2n + 1)
25.
(n + 1)(n + 3)
26.
© Addison Wesley Longman
n=1
n=2
n=3
n=4
n=5
2
5
8
11
14
AWSM Foundations of Algebra and Geometry
135
Test on Chapters 1-4 Form A (Continued)
Name _____________________________
Use the formulas to compute each value.
27. I = prt; p = 750, r = 0.08, t = 3
27. ____________________
28. P = 2 l + 2w; l = 15, w = 9
28. ____________________
Solve each equation.
29. –0.4x = 5.6
29. ____________________
30. 5x + 7 = 42
30. ____________________
31. 2x – 5 = –13
31. ____________________
32. –4x = 12
32. ____________________
33. 5.9 + x = 24.2
33. ____________________
34. Write the equation modeled by the equation box.
Solve the equation.
34. ____________________
35. Solve 3(x – 5) = 27.
35. ____________________
7
136
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Name _____________________________
Test on Chapters 1-4 Form B
Date ______________________________
1.
Super Bowl XXIX
Ticket Share
League
office
25%
a. What two sectors together
receive over 50% of the
sale of the tickets?
NFC team
17.5%
Other 25
member clubs
30%
1.a. ____________________
1.b. ____________________
b. If a ticket sold for $300,
how much of the sale
would the NFC team
receive?
AFC team
17.5 %
Host
team
10%
2. The table shows Edith’s scores on 5 tests.
A
B
C
D
E
F
G
1
Test
1
2
3
4
5
mean
2
Score
84
91
93
87
76
a. Which cell shows Edith’s score on Test 3?
2.a. ____________________
b. Which cells would you use to find her total score on the
tests?
2.b. ____________________
c. Find the value for cell G2.
2.c. ____________________
3. Make a stem-and-leaf diagram for the fines for traffic
violations: $95, $87, $113, $112, $110, $97, $84, $95, $113,
$117, $101, $108, $105.
4. Pauline kept a record of her past 9 test scores. Find the range,
mode, and median of her test scores: 75, 81, 84, 89, 93, 91, 85,
79, 81
© Addison Wesley Longman
3.
4. _____________________
AWSM Foundations of Algebra and Geometry
137
Test on Chapters 1-4 Form B (Continued)
Name _____________________________
Calculate.
5. 8(5 2 – 16)
5. _____________________
6. (–2) + 6 + (–8) – 3
6. _____________________
7. (6 – 14)3
7. _____________________
8. 50 ÷ 2 + 3 × 6
8. _____________________
9. Write an algebraic expression for twice the length ( l ), decreased
by 4 yards.
9. _____________________
10. (x2 + 6x – 12) – (4x2 – x + 4)
10. ____________________
11. 8(x – 1) + 6(–3x + 4) – 3(x – 5)
11. ____________________
12. (2x2 + 7) – 4(3x – 1)
12. ____________________
13. The expression 0.26 + 0.23x, where x is the number of minutes,
gives the cost of a long distance call. How much will a call cost
if you talk for
a. 15 minutes?
13.a. __________________
b. 37 minutes?
13.b. __________________
c. 1 hour?
13.c. __________________
Find the image of each point after the given translation.
14. C(–2, 4); <1, –3>
14. ____________________
15. E(–2, –5); <–4, 3>
15. ____________________
16. H(3, –4); <–1, –5>
16. ____________________
138
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test on Chapters 1-4 Form B (Continued)
Name _____________________________
Name the coordinates of the image if the original point is reflected
over the indicated axis.
17. H(–3, 6); x-axis
17. ____________________
18. J(–4, 5); y-axis
18. ____________________
19. Draw the other half of the figure so that the line is a line of
symmetry.
19.
20. Decide whether to slide, slide and flip, or slide and turn
Figure A to fit on Figure B.
20. ____________________
A
B
21. ____________________
21. Give a rotation that is the same as a rotation of 220˚
counterclockwise.
Find the missing elements in each of the following patterns.
22. 3, 8, 13, 18, 23, _____, _____, _____
22. ____________________
23. 2, –6, 18, –54, 162, _____
23. ____________________
Fill in the missing information in the chart.
Expression
24.
2(3n + 1)
25.
(n + 1)(n + 2)
26.
© Addison Wesley Longman
n=1
n=2
n=3
n=4
n=5
1
3
5
7
9
AWSM Foundations of Algebra and Geometry
139
Test on Chapters 1-4 Form B (Continued)
Name _____________________________
Use the formulas to compute each value.
27. P = 2 l + 2w; l = 18, w = 5
27. ____________________
28. I = prt; p = 850, r = 0.07, t = 4
28. ____________________
Solve each equation.
29. –0.6x = 8.4
29. ____________________
30. 4x + 9 = 41
30. ____________________
31. 2x – 7 = –15
31. ____________________
32. –2x = 14
32. ____________________
33. 3.7 + x = 19.4
33. ____________________
34. Write the equation modeled by the equation box.
Solve the equation.
34. ____________________
35. Solve 4(x – 3) = 36
35. ____________________
9
140
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test on Chapters 5-6 Form A
Name _____________________________
Date ______________________________
Find the perimeter and area of each figure.
1.
7 ft
5 ft
4 ft
1. _____________________
8.7 ft
2.
18 cm
9.2 cm
7 cm
10 cm
2. _____________________
31.1 cm
3. a. Sketch a net of the prism.
10 cm
6 cm
3.a.
8 cm
9 cm
b. Find the surface area of the prism.
3.b. ___________________
c. Find the volume of the prism.
3.c. ___________________
d. Give the number of vertices of the prism.
3.d. ___________________
4. A can in the shape of a cylinder is 6 in. in diameter and 7 in.
tall.
a. Find the volume of the can.
4.a. ___________________
b. Find the surface area of the can.
4.b. ___________________
5. Find the volume of
a. a pyramid with a 12 cm 2 base area and a 5 cm height.
5.a. ___________________
b. a cone with an 7 cm height and a 6 cm radius.
5.b. ___________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
141
Tests on Chapters 5–6 Form A (Continued)
Name
6. Use the Pythagorean Theorem to find the value of x in each
figure.
b.
a.
x
6.a. ___________________
13
14
x
6
6.b. ___________________
7
7. Write each ratio as a fraction, a decimal, and a percentage.
a. $10 out of every $50 is donated to charity.
7.a. ___________________
b. 2 out of every 12 were defective.
7.b. ___________________
8. A 16 ft rope is tied to the top of a tree and makes an angle of
59° with the tree. How far is the end of the rope from the tree?
8. _____________________
9. Find the value of x. Round your answer to the nearest
hundredth.
x
418
3.4
10. A rectangle has a width of 44 cm. A second rectangle is drawn
using a scale factor of 5:4. What is the width of the second
rectangle?
24 = 45
11. Solve the proportion 4.8
x
142
AWSM Foundations of Algebra and Geometry
9. _____________________
10. ____________________
11. ____________________
© Addison Wesley Longman
Test on Chapters 5-6 Form B
Name _____________________________
Date ______________________________
Find the perimeter and area of each figure.
1.
2.
7 ft
1. _____________________
29.5 cm
8 ft
3 ft
13.7 ft
11 cm
8 cm
12 cm
2. _____________________
13 cm
3. a. Sketch a net of the prism.
3.a.
10 cm
6 cm
4 cm
8 cm
b. Find the surface area of the prism.
3.b. ___________________
c. Find the volume of the prism.
3.c. ___________________
d. Give the number of vertices of the prism.
3.d. ___________________
4. A can in the shape of a cylinder is 8 in. in diameter and 7 in.
tall.
4.a. ___________________
a. Find the volume of the can.
4.b. ___________________
b. Find the surface area of the can.
5. Find the volume of
a. a pyramid with a 10 cm 2 base area and a 9 cm height.
5.a. ___________________
b. a cone with a 9 cm height and a 5 cm radius.
5.b. ___________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
143
Tests on Chapters 5–6 Form B (Continued)
Name
6. Use the Pythagorean Theorem to find the value of x in each
figure.
b.
a.
15
x
6.a. ___________________
x
6
14
7
6.b. ___________________
7. Write each ratio as a fraction, a decimal, and a percentage.
a. $8 out of every $32 is donated to charity.
7.a. ___________________
b. 2 out of every 18 were defective.
7.b. ___________________
8. A 15 ft rope is tied to the top of a tree and makes an angle of
49° with the tree. How far is the end of the rope from the tree?
8. _____________________
9. Find the value of x. Round your answer to the nearest
hundredth.
x
438
5.7
9. _____________________
10. A rectangle has a width of 56 cm. A second rectangle is formed
using a scale factor of 7:8. What is the length of the second
rectangle?
10. ____________________
18 = 35 .
11. Solve the proportion 3.6
x
11. ____________________
144
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test on Chapters 5-8 Form A
Name _____________________________
Date ______________________________
1. The surface of a hockey rink is an example of
(a) length
(b) area
1. _____________________
(c) volume
Find the perimeter and area of each figure.
2.
18 cm
15 cm
11 cm
2. _____________________
24.4 cm
3.
13.2 cm
9 cm
7 cm
10.1 cm
3. _____________________
26.1 cm
4. a. Sketch a net of the prism.
4.a.
8 ft
4 ft
5 ft
3 ft
b. Find the surface area of the prism.
4.b. ___________________
c. Find the volume of the prism.
4.c. ___________________
d. Give the number of edges of the prism.
4.d. ___________________
5. The contents of a cylindrical can 12 inches in diameter and 11
inches tall were poured into a box measuring 4 in. × 11 in. × 14
in. Give the volume of the material remaining in the can to the
nearest hundredth.
5. _____________________
6. Find the volume of a cone with radius 11 cm and height 9 cm.
6. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
145
Test on Chapters 5-8 Form A (Continued)
Name _____________________________
7. The parallelogram shown is the base of a pyramid that has a
height of 12 cm.
12 cm
13.5 cm
7.8 cm
7.8 cm
13.5 cm
7.a. ____________________
a. How many vertices does the pyramid have?
7.b. ____________________
b. Find the area of the parallelogram.
7.c. ____________________
c. Find the volume of the pyramid.
8. Which ratio does not belong?
(a) 4:16
(b) 14
(c) 4:1
(d) 25%
(e) 12 out of 48
8. _____________________
9. Write each ratio as a fraction, a decimal, and a percentage.
a. For every $60 of sales, Jenny is paid $15.
9.a. ___________________
b. Seventeen out of every twenty needed no change.
9.b. ___________________
Use the Pythagorean Theorem to find the value of x in each figure to
the nearest hundredth.
11.
10.
18.4
10. ____________________
x
5.9
17
x
11. ____________________
11.1
12. A person standing 52 feet from the base of a building can see
the top when looking up at an angle of 62° from the horizontal.
Find the height of the building to the nearest foot.
12. ____________________
Find the value of x in each figure to the nearest hundredth.
13.
x 638
35.1
14.
13. ____________________
41.9
x
408
146
AWSM Foundations of Algebra and Geometry
14. ____________________
© Addison Wesley Longman
Test on Chapters 5-8 Form A (Continued)
Name _____________________________
15. A rectangle has width 16 cm. A second rectangle is drawn using
a scale factor of 9:4. What is the width of the second rectangle? 15. ____________________
16. The following ratios are probabilities of events. 83, 29, 37, 35, 12
18
a. Choose the event with the greatest probability.
16.a. __________________
b. Choose the event with the least probability.
16.b. __________________
17. A pizza parlor has 4 meat toppings, 6 vegetable toppings, and 3
different types of crust. How many different pizzas can be made
using one type each of meat topping, vegetable topping, and
crust?
17. ____________________
18. To win a game, a player must roll a number less than 3 with an
ordinary die. What is the probability of winning on the next
roll?
18. ____________________
19. Alicia rolls a die and flips a coin. Write each probability.
a. rolling a 4 and getting tails
19.a. __________________
b. rolling a 3 and getting heads
19.b. __________________
c. rolling an odd number and getting tails
19.c. __________________
20. Eight people are eligible to be on a four-person panel.
a. In how many ways can the panel be formed if the positions
are not unique?
20.a. ___________________
b. If the four positions on the panel are unique, in how many
ways can the four positions be filled?
20.b. __________________
c. If the positions are unique, what is the probability of
guessing the position of the panel members in order?
20.c. ___________________
21. Ten people are in a contest. In how many ways can 1st-, 2nd-,
and 3rd-prize awards be given?
21. ____________________
22. Suppose this spinner is used to award a prize.
C A
D
a. Which letter are you most likely to land 22.a. __________________
on?
D
F
F
b. Which letter is better to choose, F or B? 22.b. __________________
E
C
B
B
F
© Addison Wesley Longman
c. What is the probability of the spinner
stopping on D?
22.c. __________________
AWSM Foundations of Algebra and Geometry
147
Test on Chapters 5-8 Form A (Continued)
Name _____________________________
23. The probability of an event is 55%.
a. What is the probability the event won’t happen?
23.a. __________________
b. What are the odds in favor of the event?
23.b. __________________
c. What are the odds against the event?
23.c. __________________
Tell whether each function is linear, quadratic, square root, or exponential.
24. y = 16 + 7x
25. 2y = 4x – 9
24. _________ 25. _________
26. y = –2x2 + 7x – 1
27. y = 2 √
3x – 1

26. _________ 27. _________
28. y = (0.02) x
28. ____________________
29. Find the slope of the line containing the points
a. (2, 5) and (–1, 1)
b. (–4, –6) and (1, –2)
29.a. ________ 29.b. ______
c. (4, –5) and (–7, –5)
d. (3, 4) and (1, 8)
29.c. ________ 29.d. ______
30. The cost to produce an item is $20 start-up cost plus $12 per
item. Let y = the total cost in dollars. Let x = the number of
items produced.
a. Write y as a function
of x
250
30.a. __________________
y
30.b. Graph the function to the
left.
200
b. Graph the function.
150
30.c. __________________
c. How many items are
produced when the
cost is $152?
100
50
0
4
8
12
16
x
20
Graph the equations.
32. y = 3 √
x+1

31. y = 2x2 + 1
5
25
y
5
5
x
25
25
148
AWSM Foundations of Algebra and Geometry
31.–32. Graph the equations to
the left.
y
5
x
25
© Addison Wesley Longman
Test on Chapters 5-8 Form B
Name _____________________________
Date ______________________________
1. The amount of ice in a hockey rink is an example of
a. length
b. area
c. volume
1. _____________________
Find the perimeter and area of each figure.
2.
18 cm
16 cm
9 cm
28.8 cm
2. _____________________
3.
13.2 ft
12.7 ft
8 ft
9.4 ft
28.1 ft
3. _____________________
4.a.
4. a. Sketch a net of the prism.
12 in.
13 in.
7 in.
5 in.
b. Find the surface area of the prism.
4.b. ___________________
c. Find the volume of the prism.
4.c. ___________________
d. Give the number of edges of the prism.
4.d. ___________________
5. The contents of a cylindrical can 12 inches in diameter and 14
inches tall were poured into a box measuring 6 in. × 13 in. × 16
in. Give the volume of the material remaining in the can to the
nearest hundredth.
5. _____________________
6. Find the volume of a cone with radius 9 cm and height 11 cm.
6. _____________________
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
149
Test on Chapters 5-8 Form B (Continued)
Name _____________________________
7. The parallelogram shown is the base of a pyramid that has a
height of 15 cm.
12.7 m
15 cm
8.6 cm
8.6 m
12.7 cm
a. How many vertices does the pyramid have?
7.a. ____________________
b. Find the area of the parallelogram.
7.b. ____________________
c. Find the volume of the pyramid.
7.c. ____________________
8. Which ratio does not belong?
(a) 3:1
1
1
(b) 33 3% (c) 3
(d) 3:9
(e) 12 out of 36
8. _____________________
9. Write each ratio as a fraction, a decimal, and a percentage.
a. For every $60 of sales, Jenny is paid $12.
9.a. ___________________
b. Nineteen out of every 25 needed no change.
9.b. ___________________
Use the Pythagorean Theorem to find the value of x in each figure to
the nearest hundredth.
x
11.
10.
10. ____________________
6.3
x
18
18.2
11. ____________________
12.3
12. A person standing 62 feet from the base of a building can see
the top when looking up at an angle of 52° from the horizontal.
Find the height of the building to the nearest foot.
12. ____________________
Find the value of x in each figure to the nearest hundredth.
13.
23.7
598
14.
x
13. ____________________
44.7
x
358
14. ____________________
150
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test on Chapters 5-8 Form B (Continued)
Name _____________________________
15. A rectangle has width 25 cm. A second rectangle is drawn using
a scale factor of 8:5. What is the width of the second rectangle? 15. ____________________
6 5 7
16. The following ratios are probabilities of events. 74, 25, 18
, ,
8 9
a. Choose the event with the greatest probability.
16.a. __________________
b. Choose the event with the least probability.
16.b. __________________
17. A pizza parlor has 5 meat toppings, 7 vegetable toppings, and 2
different types of crust. How many different pizzas can be made
using one type each of meat topping, vegetable topping, and
crust?
17. ___________________
18. To win a game, a player must roll an even number with an
ordinary die. What is the probability of winning on the next
roll?
18. ___________________
19. Jose rolls a die and flips a coin. Write each probability.
a. rolling a 2 and getting heads
19.a. __________________
b. rolling a 5 and getting tails
19.b. __________________
c. rolling a number less than 3 and getting heads
19.c. __________________
20. Nine people are eligible to be on a four-person panel.
a. In how many ways can the panel be formed if the positions
are not unique?
20.a. __________________
b. If the four positions on the panel are unique, in how many
ways can the four positions be filled?
20.b. __________________
c. If the positions are unique, what is the probability of
guessing the position of the panel members in order?
20.c. __________________
21. Eight people are in a contest. In how many ways can 1st-, 2nd-,
3rd- and 4th-prize awards be given?
21. ___________________
22. Suppose this spinner is used to award a prize.
D
F
A
E
C
B
C
D
C
B
E
© Addison Wesley Longman
a. Which letter are you most likely to
land on?
22.a. __________________
b. Which letter is better to choose, C
or D?
22.b. __________________
c. What is the probability of the
spinner stopping on F?
22.c. __________________
AWSM Foundations of Algebra and Geometry
151
Test on Chapters 5-8 Form B (Continued)
Name _____________________________
23. The probability of an event is 65%.
a. What is the probability the event won’t happen?
23.a. __________________
b. What are the odds in favor of the event?
23.b. __________________
c. What are the odds against the event?
23.c. __________________
Tell whether each function is linear, quadratic, square root, or
exponential.
24. y = –3x2 + 4x – 1
25.
y = 3√
2x – 1

24. _________ 25. _________
26. y = (0.03) x
27.
y = 9 – 5x
26. _________ 27. _________
28. 3y = 4x – 7
28. ___________________
29. Find the slope of the line containing the points
a. (3, 5) and (–1, 1)
b. (–6, –4) and (–2, 1)
29.a. _______ 29.b. _______
c. (4, 3) and (8, 1)
d. (–4, 5) and (–5, –7)
29.c. _______ 29.d. _______
30. The cost to produce an item is a $40 start-up cost plus $8 per
item. Let y = the total cost in dollars. Let x = the number of
items produced.
a. Write y as a function
of x.
250
30.a. __________________
y
30.b.
200
b. Graph the function.
Graph the function to
the left.
150
30.c. __________________
c. How many items are
produced when the
cost is $112?
100
50
0
Graph the equations.
31. y = –2x2 + 1
5
25
4
12
16
x
20
32. y = 2 √
x+1

y
5
5
x
25
25
152
8
AWSM Foundations of Algebra and Geometry
31.–32. Graph the equations to
the left.
y
5
x
25
© Addison Wesley Longman
Answers
CHAPTER 1
Quizzes for Superlesson 1-2
Quizzes for Superlesson 1-1
Quiz on 1-2A
1. 18% 2. 20% 3. A 4. E
6.a. 75% b. 40%
Quiz on 1-1A
1.
2.
3.
4.
24 23 22 21
0
1
2
3
4
24 23 22 21
0
1
2
3
4
24 23 22 21
0
1
2
3
4
24 23 22 21
0
1
2
3
4
Quiz on 1-1B
1. (–4, 3) 2. (3, 1)
y
3.
5
4. (2, –4)
5. (–2, 2)
D
25
x
5
E
5. 58%
Quiz on 1-2B
1. Possible answer: 50 2. Possible answer: 0.2 3. 5
4. July 5. Maximum temperatures from March to July
Quiz on 1-2C
1. Decrease 2. 25 videos
5. February
3. Increase
4. 75
Quiz on 1-2D
1.
2.
C
25
3. 35 days
4.
Quiz on 1-1C
1. B3 2. C4
3. D4
4. C6
Test 1-1 Form A
1. 21 miles from the control tower at a bearing of 192°
2.
24 23 22 21
0
1
2
3
4
3. a. (–3, –4) b. (1, 2) c. (3, –1) 4. (–1, 5) 5. (b)
6.
7. a. D2 b. F2
y
8. The total population in
5
cities 1 and 3
1 sun = 10 days
Test 1-2 Form A
1. 41% 2. 24% 3. Possible answer: 5°F 4. Months
5. Decrease 6. 30 telephones 7. 7 hours of sleep
8.
9. (a)
C
25
B
x
5
A
25
Test 1-1 Form B
1. 35 miles from the control tower at a bearing of 243°
2.
24 23 22 21
0
1
2
3
4
3. a. (4, 3) b. (–2, 1) c. (3, –2) 4. (7, –1) 5. (c)
6.
7. a. C2 b. F3
y
8. The total population in
5
cities 2 and 4
B
A
x
5
25
C
25
Test 1-2 Form B
1. 35% 2. 51% 3. Possible answer: $1000
4. Years 5. Increase 6. 40 radios 7. 20 people
8.
9. (b)
Quizzes for Superlesson 1-3
Quiz on 1-3A
1. 79° 2. 78°
3. 8°
Quiz on 1-3B
1. 3 2. 11 3. 3
Quiz on 1-3C
1. Height of sons
4. 82 inches
4. 94.5
5. 92
4. $205
2. 72 inches
3. 72 inches
Test 1-3 Form A
1. 27 2. 24 3. Range: 15; Mode: 21
© Addison Wesley Longman
4. Mean
AWSM Foundations of Algebra and Geometry
153
Answers
72
Temperature (˚F)
Stem
Leaf
5
7
4
18
3
1278
2
024499
1
28
6. 6 7. 77 inches 8. 190 pounds
8.
5.
9. (a)
70
68
66
64
62
Aug. 5 Aug. 10 Aug. 15
Test 1-3 Form B
1. 28 2. 19 3. Range: 69; Mode: 17
5. Stem Leaf
5
28
4
06
3
6678
2
1138
1
367
6. 5
7. 67 inches
8. 170 pounds
Date
4. Median
9. (c)
Chapter 1 Test Form A
1. a.
c.
72˚ F
46˚ F
90˚ F
15˚ F
2.a.–b.
5
b. 26°F
c. D 3. a. E2 b. B2
c. B2, C2, D2, E2, and F2
d. 88.6 4. a. 28%
b. Math and science or
math and history
5. Range: $7.80; mode:
$17.95; median: $17.95
6. a. 14 games
b. 9 12 basketballs
y
B
C
(4, 0)
D x
5
A
25
25
7. a. 3 12 hours b. About 10
8.
CHAPTER 1 PERFORMANCE TASK SCORING RUBRIC
Level 4 Full Accomplishment
The spreadsheet is accurately interpreted. The new bar
graph is correctly done. The paragraph includes
information based topics such as total income, average
income, and range. The work may include stem-and-leaf
diagrams, or scatter-plots.
Level 3 Substantial Accomplishment
The spreadsheet is accurately interpreted. The new bar
graph is correctly done. The information in the paragraph
while correct, is not extensive.
Level 2 Partial Accomplishment
The spreadsheet is not accurately interpreted in its entirety.
The new bar graph may not be completely accurate, nor
does the other work integrate other concepts from the
chapter.
Level 1 Little Accomplishment
The spreadsheet is not accurately interpreted. The new bar
graph is incorrect. Explanations are incomplete, and there
is no use of stem-and-leaf diagrams, averages, etc.
Temperature (˚F)
86
84
CHAPTER 2
82
Quizzes for Superlesson 2-1
80
Quiz on 2-1A
1. 910.44 2. 14
78
76
May 2 May 4 May 6
Date
c.
95˚ F
2. a.–b.
5
y
C
(0, 1) D
25
B
A
25
154
b. 33°F
83˚ F
31˚ F
x
5
4. 8
Quiz on 2-1B
1. 213,000 2. $12.80 3. Possible answer: 4400
4. Possible answer: 3000 5. Possible answer: 20
Chapter 1 Test Form B
1. a.
50˚ F
3. 3
c. B 3. a. C2 b. D2
c. B2, C2, D2, E2, and F2
d. 87.8 4.a. 22%
b. Math and language
5. Range: $6.86; mode:
$12.95; median: $16.55
6.a. 10 games
b. 6 12 basketballs
7.a. 3 hours b. about 17
AWSM Foundations of Algebra and Geometry
Quiz on 2-1C
1. 8 and 9 2. 9 and 10
Quiz on 2-1D
1. 37 2. 32 3. 9
3. 6.2
4. 69
4. 0.8
5. 1.7
5. 51
Test 2-1 Form A
27
1. 4913 2. 125 3. 0.568 4. Possible answer: 2400
5. 7.6 6. 6.3 ft 7. 14 8. 28 9. 1
10. $3.85
11. (a) 12. 1000 watts
© Addison Wesley Longman
Test 2-1 Form B
8
1. 3969 2. 343
3. 0.17 4. Possible answer: 5
5. 6.8 6. 4.6 ft
7. 5
8. 44
9. 100
10. $166.40
11. (b) 12. 1100 watts
Quizzes for Superlesson 2-2
Quiz on 2-2A
1. 18 2. –4.6
3. 7
Quiz on 2-2B
1. –11 2. –26
3. –12.8
4. –5
5. –11
4. –8.4
Quiz on 2-2C
1. –6 + (–18) + 3
2. –19
3. 21
Quiz on 2-2D
1. 54 2. –1113
3. –12
4. 33.6
5. –39.3
4. 26
Test 2-2 Form A
1. 1 43
2. 6.6 3. –126.6 4. –3
7. –22 8. 272 9. 36.8 10. 11
13. 6 14. 8400 ft
5. 44.1
5. –9
5. 84.6
11. (c)
6. 1647
12. –4
Test 2-2 Form B
1. −2 87
2. –5.7 3. 140
4. –1
5. 99.1
6. –1938 7. 29 8. –9 9. 25.7 10. 4
11. (d)
12. –7 13. Impossible 14. 3540 ft
Quizzes for Superlesson 2-3
Quiz on 2-3A
1. Variable 2. Constant
5. 60v − 17
Quiz on 2-3B
1. 94 2. 21 3. 19
3.
4. –4.4
k+8
3
4.
2 h + 14
3
Chapter 2 Test Form B
1. 729 2. –25 3. –45 4. 16 5. 56 6. 20
2
7. –3 8. 3n + 11 9. h+5
10. −3x + 6
7
2
11. 3m − 8m + 5 12. 4x – 11 13. –18y + 33
14. 3a – 6b + 4
15. 49,200 16. 8.6 in.
17. Possible answer: $0.40
18. 20x – 12 19. A
20. 4 or –4 21. –9 22. Constant
23. Variable
24. 37 25. a. 5m b. 5p c. 5m + 5p
d. Possible answer: 5(m + p) 26. 11
CHAPTER 2 PERFORMANCE TASK SCORING RUBRIC
Level 4 Full Accomplishment
The complete list may show imagination in the overall
design. The list indicates competence and variety in the
operations chosen, and it is accurate in the computations.
The distributive property is used often, negative numbers
and fractions are included, and radical expressions are
used when convenient, as in √
 4 or √

2 + 2, √

3 + 3 + 3.
Level 2 Partial Accomplishment
The list, while complete and mostly accurate, fails to show
sufficient variety in the choice of operations.
Quiz on 2-3D
2
1. 27x – 45 2. –6x + 39 3. −12 x + 8x − 36
2
4. 6x + 4x − 11 5. –18.6x + 12
Level 1 Little Accomplishment
The list, while complete, contains many inaccuracies, and
contains few of the topics contained in the chapter.
3. –x – 6y – 5
CHAPTER 3
Quizzes for Superlesson 3-1
Test 2-3 Form A
1. 14n +
Chapter 2 Test Form A
1. 2401 2. –2 3. –54 4. –2 5. 42 6. 17 7. 6
2
2
10. −2m + 8 11. 2 x + 5x − 13
8. 4m – 17 9. g−2
9
12. 17x – 4 13. 20 y – 12 14. a – 7b – 6 15. 37,600
16. 8.2 ft 17. Possible answer: 30¢ 18. 14 x – 35
19. B 20. –1 21. Impossible
22. Variable
23. Constant
24. –6
25.a. 7b b. 7c
c. 7b + 7c
d. Possible answer: 7( b + c) 26. 13
Level 3 Substantial Accomplishment
The complete list shows variety in choosing operations,
and computation is mostly accurate. Student may fail to
take this opportunity to demonstrate imaginative solutions.
5. 37
Quiz on 2-3C
2
1. 12x + 17 2. 3x − 2 x − 16 3. –2x + 6
4. 4x – 11y – 5 5. –4m + 5n – 6
Quiz on 2-3E
1. 3m – 6 2. −4x 2 + 13
2
2
4. 8x + 6y + 7 5. 6
11. Variable 12. Constant 13. a. 9p b. 3e
c. 9p + 3e
d. Possible answer: 3(3p + e)
g−7
6
9.21 2. 2(60h) – 27 or 120h – 27 3.
4. 34 5. 23 6. –6y + 18
7. 12 x 2 − 21x − 33
8. 5x – 2 9. 3m 2 − 6n 2 + m + 3
10. (b)
11. Constant 12. Variable 13.a. 4m
b. 8a
c. 4m + 8a d. Possible answer: 4(m + 2a)
Quiz on 3-1A
1.
2.
Test 2-3 Form B
1. 2p – 4.3
2. 13 (60h) + 12 or 20h + 12
3. w−5
8
2
4. 9 5. 63 6. –8g – 32 7. 24x − 8x + 12
8. –2y – 5 9. 5 p 2 + 8q 2 − p − 2
10. (a)
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
155
Answers
3.
4.
8.
Quiz on 3-1B
1.
2.
Quizzes for Superlesson 3-2
3. No. The figure would leave gaps or overlap when
positioned on a flat surface. 4. (c)
Test 3-1 Form A
1.
2.
3.
4.
Possible answer:
Quiz on 3-2A
1. Slide and turn
4. Slide and turn
size.
Quiz on 3-2B
1. Left 3, up 0
4. G ′ (–7, 3)
2. Slide 3. Slide and flip
5. No. The figures are not the same
2. C ′ (−2, −4)
5. A′ (5, 3)
Quiz on 3-2C
1. (3, 4) 2. (–5, –2)
Quiz on 3-2D
1. A 2. C 3. BC
5. 255° clockwise
6.
5.
7. No. The figure would leave gaps or overlap when
positioned on a flat surface.
Possible answer:
9. (a)
8.
9. (a)
3. B′ (3, 2)
3. (2, –4)
4. (–5, –1)
5. (3, 2)
4. 305° counterclockwise
Test 3-2 Form A
1. Slide and turn 2. Slide and flip 3. No; angle sizes
are different 4. C ′ (–3, –1) 5. F ′ (1, − 4)
6. G ′ (2, 5) 7. (–3, –2) 8. (–4, 8)
9. 185° counterclockwise 10. (c)
11. (b)
Test 3-2 Form B
1. Slide and flip 2. Slide and turn
3. Yes; same size
and shape
4. D′ (2, 13)
5. M ′ (−3, − 5)
6. N ′ (−5, − 9)
7. (−5, − 2)
8. (7, –9)
9. 2358 clockwise
10. (b) 11. (a)
Quizzes for Superlesson 3-3
Test 3-1 Form B
1.
2.
4.
3.
6.
5.
7. Yes, Possible answer:
156
AWSM Foundations of Algebra and Geometry
Quiz on 3-3A
1. 11, 4, –3 2. X, D, W
5. 30, 38, 47
3.
1, 1, 1
3 9 27
Quiz on 3-3B
1. 1, 4, 7, 10, 13 2. 3, 8, 15, 24, 35
4. n – 1; 19 5. –2n; –36
4. 27, 81
3. − 12 n; –6
Test 3-3 Form A
1 , 1 , 1
1. 11
2. 64, –128, 256 3. 64, 256
13 15
4. 0, 4, 12, 24, 40 5. 7, 8, 9, 10, 11 6. –n + 1; –38
7. 2n + 1; 91 8. n – 3; 23 9. FK, GL, HM 10. (b)
11. 13, 19
Test 3-3 Form B
1 , 1
1. 162, –486, 1458 2. 12, 9, 6 3. 12
14
4. –3, –2, –1, 0, 1 5. 6, 18, 36, 60, 90 6. 2n – 2; 82
7. –n + 2; –22
8. 3n + 1; 109
9. NH, OI, PJ
10. (c) 11. 17; 25
© Addison Wesley Longman
Chapter 3 Test Form A
1.
2.
4. H ′ (8, 5) 5. S ′ (2, 3)
6. A′ (1, − 10)
7. Yes 8. Flip 9. (–3, 8) 10. (3, 1) 11. (4, 5)
12. (–6, –1) 13. (3, 0) 14. 90° 15. 37, 45, 53
16. VE, UF, TG
17.
18. 15, 25, 35, 45, 55
19. 5, 14, 27, 44, 65
20. Reflectional
symmetry occurs when
two halves of a figure
mirror each other across a
line.
3.
Chapter 3 Test Form B
1.
3.
2.
4. J ′ (8, 2)
5. K ′ (−9, −2)
6. N ′ (–1, 4)
7. Yes 8. Flip 9. (–4, 7) 10. (6, 2) 11. (7, 1)
12. (–3, –8) 13. (–3, 0) 14. 270°
15. 49, 40, 31
16. ER, FS, GT
17.
18. 12, 21, 30, 39, 48
19. 6, 15, 28, 45, 66
20. Rotational symmetry occurs when a figure can be
turned to create an image that is the same as the original
figure.
CHAPTER 3 PERFORMANCE TASK SCORING RUBRIC
Level 4 Full Accomplishment
The design contains a complicated pattern of more than
two geometric figures that includes two of the
transformations: (rotation, translation, or reflection). It
may also include a tessellation. Symmetry should be
present in some elements of the design.
There is a complete drawing indicating the transformations
or a complete paragraph explaining the geometry in the
design.
Level 3 Substantial Accomplishment
The design contains a less complicated pattern of two or
less figures. One of the transformations should occur.
There should be some evidence of symmetry. Explanation
is very cursory but accurate.
© Addison Wesley Longman
Level 2 Partial Accomplishment
The design may contain one tessellated figure with no
thought given to reflections or rotations. Explanation is
cursory.
Level 1 Little Accomplishment
The design contains little evidence of transformations.
Explanation is missing or inaccurate.
CHAPTER 4
Quizzes for Superlesson 4-1
Quiz on 4-1A
1. 437.4 m 3 2. 29.16π ≈ 91.56 ft 2
1
r = rate, t = time 4. 2
Quiz on 4-1B
1. w = 13 2. y = 8.3
5. 2m + 98 = 298
3. x = 5
3. d = distance,
4. r = 28
Quiz on 4-1C
1. x + 3 = –x – 1; x = –2 2. 2x – 3 = 3; x = 3
3. 3(x – 2); 3x – 6 4. x = 6
Test 4-1 Form A
1. 66 ft 2 2. 4.9 π ≈ 15.39 cm 3. w = 14
4. x = 21.6 5. y = 6 6. 2x + 8 = 32
7. 2x + 1 = – x – 2; x = –1 8. x + 5 = –x – 1; x = –3
9. (c) 10. 1372π ≈ 1436.03 cubic units
3
Test 4-1 Form B
1. 119 ft2
2. 8.4π ≈ 26.38 cm 3. w = 16
4. x = 14.1
5. y = 9
6. 3x + 9 = 21
7. 4x – 3 = 2x + 1; x = 2
8. x + 2 = –3x – 2; x = –1
9. (a) 10. 2048π ≈ 2143.57 cubic units
3
Quizzes for Superlesson 4-2
Quiz on 4-2A
1. x + 2 = 51 2. 12 = x + 5
Quiz on 4-2B
1. y = 13 2. n = 26
5. t = 36.1
Quiz on 4-2C
1. 27 ; 27 2. − 23 ; − 23
Quiz on 4-2D
1. x = 9 2. x = 10
3. 2x + 1 = 7
3. m = 30
3. x = 18
3. x = 4
4. x = 14.1
4. y = 17.5
4. n = 3
5. x =
68
9
5. x = 4
Test 4-2 Form A
1. 3x = 6
2. 2x + 5 = 13 3. y = 9 4. m = 2
4 ; 11
5. − 35 ; − 53
6. 11
7. x = 12 8. x = 13
4
9. x = 6 10. x = 1
11. $0.39 12. (b)
AWSM Foundations of Algebra and Geometry
157
Answers
Test 4-2 Form B
1. 2x = 6
2. 3x + 5 = 17 3. y = 8
3 ; 13
5. − 47 ; − 47
6. 13
7. x = 27
3
9. x = 7
10. x =
5
7
11. $0.36
CHAPTER 5
4. m = 3
8. x = 15
12. (c)
Chapter 4 Test Form A
1. I = 90 2. A = 144 ft2 3. x = 5 4. w = –27
5. x = 7 6. 3x – 3 = –x + 1; x = 1 7. 12 = 2x + 4
8. a. 37 b. 37
9. x = 2 10. f = 75.4 11. x = 21
12. w = 17 13. x = 7 14. $0.85 15. 16 in.
16. 2(x – 3), 2x – 6 17. 4u + 19 = 47
Quizzes for Superlesson 5-1
Quiz on 5-1A
1. Vertices: 8; edges: 12; faces: 6
2. Vertices: 6; edges: 9; faces: 5
3.
Chapter 4 Test Form B
1. d = 180 mi 2. I = 168 3. y = 12 4. n = –35
5. x = 3 6. 2x + 5 = –x + 2; x = –1 7. 9 = 2x + 1
8. a. 94 b. 94 9. w = 2 10. z = 114.8 11. x = 81
12. t = 7 13. x = 18 14. $0.98 15. 18 ft
16. 2(2x – 1), 4x – 2 17. 3p + 9 = 24
Quiz on 5-1B
1. Perimeter: 20 ft; area: 21 ft 2 2. Perimeter: 28 yd; area:
26.91 yd2 3. Perimeter: 44 units; area: 40 square units
CHAPTER 4 PERFORMANCE TASK SCORING RUBRIC
Test 5-1 Form A
1. Vertices: 4; edges: 6; faces: 4 2. Vertices: 6; edges: 9;
faces: 5 3. Perimeter: 16 ft; area: 15 ft 2
4. Perimeter: 77.8 yd; area: 373.24 yd2
5. Perimeter: 48 units; area: 39 square units
6. 18 cubic units 7. 48 cubic units
8. Perimeter: 250 ft; area: 3850 ft2 9. (b)
Level 4 Full Accomplishment
The situations chosen are imaginative, the problem
statements pertinent, and the equations are written with the
variables embedded. [That is, 5x + 1 = 16 would be
appropriate for the situation above, but (16 – 1) ÷ 5 = x is
not.] Algebra tiles and balance scales are used in different
situations.
The solution methods are appropriate and the results are
correct.
Level 3 Substantial Accomplishment
The situations chosen are fairly routine, but the problem
statements are pertinent and the equations are written with
the variables embedded. The solution methods are correct,
but lack variety. Algebra tiles and balance scales are used
in different situations.
Level 2 Partial Accomplishment
The situations chosen are routine, but the problem
statements may be convoluted and lack precision. The
equations may not exactly reflect the statement or the
variable may not always be embedded. Most solutions
will be correct, however. Only one of algebra tiles and
balance scales are used correctly.
Level 1 Little Accomplishment
The situations chosen lack problem value, and the problem
statements may be somewhat contrived. The variables are
not embedded in the equations, and the solution methods
may be inaccurate, leading to erroneous results. Algebra
tiles and balance scales are not used or are used
incorrectly.
158
AWSM Foundations of Algebra and Geometry
Quiz on 5-1C
1. 24 cubic units 2. 36 cubic units 3. Area, square
units 4. Volume, cubic units 5. Length, linear units
Test 5-1 Form B
1. Vertices: 8; edges: 12; faces: 6
2. Vertices: 5; edges: 8; faces: 5
3. Perimeter: 20 ft; area: 24 ft2
4. Perimeter: 89.4 cm; area: 483.92 cm2
5. Perimeter: 44 units; area: 40 square units
6. 16 cubic units 7. 60 cubic units
8. Perimeter: 240 in.; area: 3456 in.2
9. (a)
Quizzes for Superlesson 5-2
Quiz on 5-2A
1. 54 in. 2 2. 84 in.2
3. 75 in.2
4. 23.36 cm 2
Quiz on 5-2B
1.
Front View
Top View
Right View
2. Circumference: 18π ≈ 56.52 cm;
area: 81π ≈ 254.34 cm2
3. Circumference: 24π ≈ 75.36 ft;
area: 144π ≈ 452.16 ft2 4. 256 – 64π ≈ 55.04 ft2
Test 5-2 Form A
1. 10.8 cm2 2. 88 cm2
3. 115.5 cm2
© Addison Wesley Longman
Test 5-3 Form A
1. Possible answer:
4.
Front View
Top View
2. 320π ≈ 1004.8 cm2
3. 306 ft3 4. 1680 m3
5. 218.08 cm3
6. 35 m3 7. Surface
area: 13.34π ≈ 41.89
in.2 ; volume:
28. 037 π ≈ 29.35 in. 3
3
8. 37.5π ≈ 117.75 in. 3
9. (c)
Right View
5. Circumference: 10π ≈ 31.4 in.; area: 25π ≈ 78.5 in.2
6. Circumference: 13π ≈ 40.82 m;
area: 42.25π ≈ 132.67 m2
7. 324π ≈ 1,017.36 yd2 8. 9 cm 9. (a)
Test 5-2 Form B
1. 16 cm 2 2. 126 cm2
4.
3. 92 cm2
Front view
Top view
Test 5-3 Form B
1. Possible answer:
Right view
5. Circumference: 7π ≈ 21.98 in.;
area: 12.25π ≈ 38.47 in. 2
6. Circumference: 16π ≈ 50.24 m;
area: 64π ≈ 200.96 m 2
7. 400π ≈ 1256 yd2 8. 5 cm 9. (c)
Quizzes for Superlesson 5-3
Quiz on 5-3A
Possible answer:
1.
3.
2. 308π ≈ 967.12 cm2
3. 260 ft3 4. 3289 m3
5. 492.8 cm3
6. 30 m3 7. Surface
area: 14.64π
≈ 45.97 in.2 ; volume:
10. 752π ≈ 33. 76 in. 3
8. 28.8π ≈ 90.43 in. 3
9. (a)
2. 441.4 ft2
168π ≈ 527.52 m 2
Chapter 5 Test Form A
1. Perimeter: 38 cm; area: 86.25 cm2 2. Perimeter:
62.4 cm; area: 172 cm2 3. Perimeter: 46.8 cm; area:
103.5 cm2 4. Perimeter: 58 ft; area: 152 ft2
b. Edges: 9; faces: 5
5. a. Possible answer:
7m
c. 216 m 2 d. 168 m3
6. 16 cubic units
10 m
8m
7. 12π – 36 ≈ 1.68 in.3
8. a. 27.3π
6m
6m
≈ 85.72 in. 2
b. 28.665π
≈ 90.01 in.3 9. a. 5
10 m
b. 5 c. 33.32 m2
d. 133.28 m3
10.
Front view
Quiz on 5-3B
1. 360 cm 3 2. 462 ft 3
3. 78.4 in.3
Quiz on 5-3C
1. Surface area: 96π ≈ 301.44 m 2;
volume: 96π ≈ 301.44 m3
2. 40 cm 3 3. 13.33 cm3 4. 2016π ≈ 6330.24 in.3
© Addison Wesley Longman
Top view
Side view
11. 357.5 cm3
Chapter 5 Test Form B
1. Perimeter: 44 cm; area: 114.75 cm2 2. Perimeter:
112 m; area: 732 m 2 3. Perimeter: 53.6 m; area:
128.4 m 2 4. Perimeter: 52 ft; area: 119 ft2
b. Edges: 9; faces: 5
5. a. Possible answer:
c. 168 m 2 d. 120 m3
6. 18 cubic units
10 m
5m
7. 83. 2 π − 72
3
10
m
6m
≈ 15.08 in.3
8. a. 36.54π ≈ 114.74 in.2
8m
b. 52.983π ≈ 166.37 in.3
8m
9. a. 5 b. 5 c. 54.27 m 2
d. 271.35 m3
AWSM Foundations of Algebra and Geometry
159
Answers
Test 6-1 Form A
10.
1. 19:30
Front view
Top view
Side view
11. 368 cm3
CHAPTER 5 PERFORMANCE TASK SCORING RUBRIC
Level 4 Full Accomplishment
Drawings show an orderly sequence of perimeters from 14
(minimum possible) to 22 (maximum possible.)
Extremely different shapes with the same perimeter may
be included. Explanations describing the minimum and
maximum perimeters are clear and accurate, and point out
that every even number in this range is a possible
perimeter, but not any odd number.
Level 1 Little Accomplishment
The set of drawings is incomplete, or areas and perimeters
have been miscounted. The explanation does not
demonstrate understanding nor give evidence of complete
experimentation.
CHAPTER 6
4. 3:5; Three out of five
Quiz on 6-1B
1. $1.40 paid on $20
2. 27 green marbles out of 64 marbles
3.
7
4
4.
4
11
Quiz on 6-1C
1. 2.5 computers per student
2. 1125 3. 640
4. 4 miles per minute 5. 420 feet per hour
160
Quizzes for Superlesson 6-2
Quiz on 6-2A
1. x = 53° 2. x = 77°
3. x = 131°
Quiz on 6-2B
1. Yes 2. a = 9, b = 12
3. x = 2
4. 75°
3. c = 4
3. 15 cm
4. t = 5
4. a ≈ 18.40
3. b = 12
Test 6-2 Form A
1. x = 87° 2. x = 99° 3. a =33; b = 39 4. x = 35
5. 4:7 6. 11.43 cm 7. c = √

1597 or 39.96
8. a = √

265 or 16.28 9. b = √

71.44 or 8.45 10. (a)
Test 6-2 Form B
1. x = 48° 2. x = 132°
3. a = 15; b = 12
4. x = 27
5. 3:5
6. 37.73 cm 7. c = 1637 or 40.46
8. a = 343 or 18.52
9. b = 84.87 or 9.21
10. (c)
Quizzes for Superlesson 6-3
Quiz on 6-3A
1. 0.8829 2. 0.8098 3. 0.6293
92
103
b. 86 or 43 5. a. 103 b. 92
Quiz on 6-3B
1. b ≈ 9.75 2. c ≈ 21.13
Quizzes for Superlesson 6-1
Quiz on 6-1D
1. a = 12 2. b = 33
Test 6-1 Form B
5 ≈ 0. 45 = 45%
1. 17:30
2. a. 43 = 0. 75 = 75%
b. 11
3. 66
4. a. 6:35
b. 29:35
5. x = 1.75
6. 24 miles per hour
7. c = 9
8. x = 5
9. (c)
10. 7 nickels out of 25 coins
Quiz on 6-2D
1. No 2. c ≈ 22.80
Level 2 Partial Accomplishment
Drawings show the maximum and minimum perimeters,
but fail to show the intermediate cases completely.
Alternate shapes with same perimeters may not be
included. The explanation of the possible perimeter values
is not complete.
3. 54
4. a. 7:32 b. 25:32 5. x = 1.875
6. 240 meters per minute 7. b = 24 8. x = 3
9. (b) 10. 18 quarters out of 35 coins
Quiz on 6-2C
1. 3:8 2. 7:3
Level 3 Substantial Accomplishment
Drawings correctly show the sequence of possible
perimeters. Some different shapes with the same
perimeter are included. Explanations describing the
findings are substantially accurate. The “even/odd”
property may be missing.
Quiz on 6-1A
1. 100:27 2. 29
3. 0.63
students bought pencils.
7
7
2. a. 10
= 0.7 = 70% b. ≈ 0.78 = 78%
9
4. a. 86 or 34
3. d ≈ 3.41
4. x ≈ 2.56
Test 6-3 Form A
1. a. 0.9272 b. 0.4226 2. a. 0.2679 b. 0.1219
98
7
3. a. 51
b. 51
4. a. 15
b. 15
5. b ≈ 72.59
98
7
6. d ≈ 12.26
10. (c)
7. c ≈ 19.82
8. 76.8 ft
9. 244.8 m
Test 6-3 Form B
1. a. 0.8910
b. 0.3907
2. a. 0.7265
b. 0.0698
9
43
8
3. a. 74
b. 74
4.
a.
b.
5.
p ≈ 58.29
43
9
8
6. q ≈ 29.45 7. r ≈ 21.97
8. 91.4 ft 9. 292 m
10. (a)
4. c = 5
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Chapter 6 Test Form A
Quiz on 7-1C
1. a. x ≈ 8.06 b. x = 6 2. (c) 3. $8.47 paid for 7 pens
11
4. a. 15 = 0.2 = 20% b. 20 = 0.55 = 55% 5. f ≈ 76.78
6. d ≈ 7.16 7. c ≈ 5.84 8. 9.58 ft 9. a. 128
b. 54 or 1.25 10. 20 ft 11. x = 8 12. x = 6
13. 478
14. y = 27; z = 39
15. a. 0.3090
b. 1.9626
c. 0.7431
1
1
1. a. 6 b. 50% c. 0.5 d. 3
c. 40% d. 5
Chapter 6 Test Form B
1. a. x ≈ 14.21 b. x = 4 2. (c) 3. $13.26 paid for 13
7
pens 4. a. 14 = 0.25 =25% b. 20
= 0.35 = 35%
5. c ≈ 20.84 6. d ≈ 11.11 7. m ≈ 4.82 8. 7.83 ft
9. a. 112 b. 49 or 2.25 10. 28 ft 11. x = 4 12. x = 5
13. 818
14. y = 16; z = 20
15. a. 0.2079
b. 0.3584
c. 1.0355
CHAPTER 6 PERFORMANCE TASK SCORING RUBRIC
Level 4 Full Accomplishment
Model is of a somewhat complex object, and includes
some details (such as windows of a building). All elements
of the model are directly proportional to corresponding
elements of the original object. Explanation should include
discussion of how the dimensions of the model were
obtained. Scale factor, similarity, proportional sides, and
possibly trigonometric ratios are concepts that are
mentioned in the explanation appropriately.
Level 3 Substantial Accomplishment
Model is of a less complex object and does not incorporate
as much detail. All elements of the model are directly
proportional to corresponding elements of the original
object. Explanation is correct but not as complete. Some
concepts from the chapter should be used correctly.
Level 2 Partial Accomplishment
Model is of less complex object. It should be close to a
scale model, but there may not be any details or they may
not be quite to scale. Explanation may be partially
incorrect.
Level 1 Little Accomplishment
Model is not a scaled model. Explanation exhibits little
understanding of scale factor and similarity.
CHAPTER 7
Quizzes for Superlesson 7-1
Quiz on 7-1A
1. 12 2. 19 3. 9
Quiz on 7-1D
1. a. 13
b. 13
25
2. a.
2. a. 20% b. 60%
1
4
b.
5
8
Test 7-1 Form A
1. One with probability 45% 2. 13
; 65% 3. 0; Possible
20
answer: It is very unlikely.
4. 50%
5. 61 6. A 7. Less 8. 4 9. (a) 10. a. 12
b. 85
Test 7-1 Form B
1. One with probability 35
2. 83 ; 37.5%
3. 1; Possible answer: It is very likely.
4. 33.3%
5. 16
6. D 7. The same
8. 10 9. (c) 10. a.
b. 85
1
8
Quizzes for Superlesson 7-2
Quiz on 7-2A
1
1. 12 2. 1 3. 1
6
Quiz on 7-2B
1. 120 2. 20
4. 36
2
1
4. 210
3. 210
Quiz on 7-2C
1. 10 2. 10 3. 4
1
4. 2
Quiz on 7-2D
1 or 10%
1. 4 to 1 2. 10
3. 90
4. 11 to 9
Test 7-2 Form A
1
1
1
1. 12 2. 6 3. 80 4. 35 5. 35
6. 840 7. 30
8. 2 to 3 9. a. 21 to 4 b. 4 to 21 c. 84% 10. (c)
Test 7-2 Form B
1
1. 14
2. 12
3. 30
4. 56
5. 56
6. 336
7. 42
8. 3 to 7
9. a. 13 to 7 b. 7 to 13
c. 65%
10. (b)
Chapter 7 Test Form A
1. a. 43 b. 29 2. 40 3. 72 4. a. 83
b. 12
c. 43
1
1
18
1
3
d. 8 5. 12 6. 25 or 72% 7. a. 18 b. 36 8. a. 210
b. 15 c. 1 9. 11 10. 21 or 50% 11. a. 65%
b. 7 to 13 12. 336 13. 17
50 , 0.34, 34%
Chapter 7 Test Form B
1. a. 53 b. 13 2. 40 3. 100 4. a. 14 b. 85
c. 87
1
17
1
1
d. 14 5. 6 6. 25 or 68% 7. a. 18 b. 36 8. a. 462
b. 6 c. 1 9. 11 10. 85 or 62.5% 11. a. 15%
6 , 0.24, 24%
b. 17 to 3 12. 42
13. 25
4. Four of the same face
Quiz on 7-1B
1. One with probability of 0.4 2. One with probability
430 or 43
of 45 3. 2000
4. 0.215, 21.5%
200
© Addison Wesley Longman
AWSM Foundations of Algebra and Geometry
161
Answers
Level 3 Substantial Accomplishment
Although the method of finding the probabilities is
substantially valid, it may be incomplete or inaccurate,
resulting in an erroneous probability. The description of
the technique and situation is essentially correct.
2. x = 5
4. x = 2
210
Test 8-1 Form A
1.
2.
3. –9, –5, –1, 3, 7, 11
5. y = x – 3
y
6.
10
5
y
x
5
25
25
8. a. y = 10 x + 120
b.
500 y
Puppy's Weight
Number of drinks
7.
210
Possible answer:
400
300
200
Puppy's Age
Price of drinks
3.
4. –12, –8, –6, –4, –2, 0
x
10
210
Quizzes for Superlesson 8-1
2.
Speed
Price of
Snacks
CHAPTER 8
Quiz on 8-1A
1. Possible answer:
3. x = –3
x
10
210
Level 2 Partial Accomplishment
The method selected to analyze the probability is faulty or
incomplete, resulting in an unrealistic probability.
Level 1 Little Accomplishment
The probability given is in error and the explanation for it
is incomplete.
y
10
Time
Level 4 Full Accomplishment
The first probability is shown to be the ratio of the number
of ways the three letters can come up (6) to the total
number of ways 3 letters can occur (27). The method
could use tree diagrams, lists of possibilities, or the
counting principle. The work shows that the probability
6
of success is 27
or 29 which equals 0.22. The probability of
getting three alike is only 3 out of 27, or 19 .
Quiz on 8-1C
1.
Number
of Snacks
CHAPTER 7 PERFORMANCE TASK SCORING RUBRIC
Possible answer:
4.
100
Possible answer:
the radius
5
Speed
c.
16
9.
Time
x
10 15 20 25
5
x
5
25
Quiz on 8-1B
1. –2, 4, 7, 13, 19, 22 2. 5, 2, 1, 2, 5
3. –17, –5, 31, 79, 115 4. y = –2x
y
25
10. (c)
162
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
Test 8-1 Form B
1.
Test 8-2 Form A
1. No
Pages per hour
Number of pencils
2.
8. –3
c.
2. Yes
3. Yes
4. No
9. a. y = 6x + 20
5. –2
7. 12
6. 3
b. Slope: 6; y-intercept: 20
10. (b)
100 y
80
60
Amount of money spent
40
Typing speed
20
3. –2, 1, 4, 7, 10, 13
5. y = x + 4
y
6.
10
4. –20, –12, –8, –4, 0, 4
7.
x
10
210
5
y
x
5
25
210
0
25
2
4
6
x
10
8
Test 8-2 Form B
1. Yes 2. No
3. Yes 4. No
5. 2
6. –4
7. − 13
8. 2 9. a. y = 8x + 10
b. Slope: 8; y-intercept: 10
10. (a)
c. 100 y
80
60
8. a. y = 20 x + 150
b. 500 y
40
20
400
0
300
100
c.
4
6
8
x
10
Quizzes for Superlesson 8-3
200
0
2
x
10 15 20 25
5
13
9.
5
Quiz on 8-3A
1. Nonlinear 2. Linear
Quiz on 8-3B
1. Exponential
4.
y
3. (b)
2. Square root
y
5.
5
3. Quadratic
10
y
x
5
25
x
5
25
25
10. (a)
25
–5
5
x
Quizzes for Superlesson 8-2
Quiz on 8-2A
1. Yes 2. Yes
3. No
4. No
Quiz on 8-2B
1. 3
5.
2. − 12
3. 3
5
Test 8-3 Form A
1. Quadratic 2. Exponential
3. Square root
4. Linear 5. Quadratic
y
y
7.
6.
10
5
4. − 25
y
x
5
25
x
5
25
25
© Addison Wesley Longman
25
25
x
5
0
8. a. 36, 27, 20.25, 15.19, 11.39
AWSM Foundations of Algebra and Geometry
163
Answers
b.
50
y
c.
Exponential
y
10
12.
13.
5
y
40
30
25
20
5
x
10
x
0
1
2
3
4
9. (a)
25
h
14.a.
Test 8-3 Form B
1. Square root 2. Linear
4. Exponential 5. Linear
y
6.
5
x
5
0
–5
5
b. 16 ft
c. 
√ 2 seconds
40
3. Quadratic
30
7.
10
y
20
10
1
x
5
25
15. Possible answer: the weight of the cereal
25
x
5
25
8. a. 100, 80, 64, 51.2, 40.96
100
b.
c.
Exponential
80
60
40
Chapter 8 Test Form B
1. Square root 2. Exponential
3. Quadratic
4. Exponential 5. Linear 6. Linear
7. Linear
8. Quadratic 9. a. Dependent: y; independent: x
3
b. Slope: –3; y-intercept: 2
y
10. a. 0 b. –4
c.
5
c. 34 d. 1
20
x
5
25
0
1
2
3
4
t
2
5
9. (b)
Chapter 8 Test Form A
1. Exponential 2. Square root
3. Quadratic
4. Linear 5. Exponential 6. Linear
7. Square root
8. Linear 9. a. Dependent: y; independent: x
b. Slope: –2; y-intercept: 52
c.
5
10. a. –2
150
100
b. − 43
c. 0 d. − 47
11. a. y = 8x + 50
c. 15
200
y
x
5
25
25
11. a. y = 5x + 60
y
b.
250
50
0
12.
5
5
25
b.
250
y
c. 7
x
10 15 20 25
y
13.
x
5
25
5
y
25
5
200
150
25
25
100
50
0
164
5
x
10 15 20 25
AWSM Foundations of Algebra and Geometry
© Addison Wesley Longman
x
14. a.
200 h
c. − x 2 − 2 x + 3
16. a. $2.43
b. $3.87
c. $8.73
b.
100
0
1
2
3
4
Test on Chapters 1–2 Form B
1. a.
08F
548F
798F
25°
b.
Numbers between 60 and 84
c.
y
2.a.–b.
5
t
5
b. 112 ft c. 2√
 2 seconds
15. Possible answer: the length of the table
B
CHAPTER 8 PERFORMANCE TASK SCORING RUBRIC
Level 4 Full Accomplishment
A variety of sketches are given that show creativity and
understanding of the meaning of slope. Estimates match
the sketch. May include vertical and horizontal lines.
Explanation should mention change in y over change in x
or rise over run. May have a discussion of vertical and
horizontal distance.
Level 3 Substantial Accomplishment
A few typical sketches (road, roof) are given and estimates
are reasonable. May have a discussion of vertical and
horizontal distance.
Level 2 Partial Accomplishment
Sketch shows slope but estimate is not reasonable.
Explanation just shows distances on sketch.
Level 1 Little Accomplishment
Sketches have nothing to do with slope.
CHAPTER TESTS
Test on Chapters 1–2 Form A
1. a.
08F
628F
19°
b.
Numbers between 22 and 57
c.
y
2.a.–b.
5
818F
C
(0, 2) D
25
B
x
5
A
25
c. D
3. a. D2
b. B2, C2, D2, E2, and F2
c. 80.4
4. Range: 17; mode: 87; median: 85 5. a. Years
b. No. These percents added up do not represent one
whole idea or thing. 6. 52 7. 5 8. 10 9. –42
10. 2w + 3 11. –11x + 19 12. 8x 2 + 1
13. 2 x 2 + 3x − 3
14. 10x – 6 15. a. x 2 + 2 x − 3
© Addison Wesley Longman
D
(–2, 0)
25
x
5
C
A
25
c. C 3. a. C2 b. B2, C2, D2, E2, and F2
c. 67.4
4. Range: 17; mode: 91; median: 88 5. a. Percentage of
TV households tuned into the game b. No. It shows
what percentage of TV households were turned to the
game, not the number of people who were watching TV.
6. 35 7. 2 8. 11 9. –40 10. 2w + 7
11. –12x + 36
12. 9x 2 − 3
13. 4x 2 + 2 x − 4
2
14. 12x – 21 15. a. x − x + 2
b.
c. − x 2 + x − 2
16. a. $2.62
b. $4.49
c. $8.91
Test on Chapters 1–4 Form A
1.a. Host team and other member clubs b. $35
2. a. E2 b. B2, C2, D2, E2, and F2
c. 86.2
3.
Stem Leaf
11
009
10
2579
9
2268
8
14
4. Range: 18; mode: 93; median: 85 5. 72
6. –8
7. –27 8. 42 9. 12 l + 3
10. 3x 2 + 8x − 13
11. –23x + 29
12. 3x 2 − 6x + 11
13. a. $4.05
b. $8.01 c. $13.51 14. B′ (−1, − 6)
15. D′ (−2, 3) 16. G ′ (−8, 2) 17. (–4, –5) 18. (6, 2)
20. Slide and turn 21. 290˚
19.
counterclockwise 22. –96, 192,
–384 23. 29, 34, 39
24. 9, 15, 21, 27, 33 25. 8, 15, 24,
35, 48 26. 3n – 1 27. I = 180
28. P = 48
29. x = –14
30. x = 7
31. x = –4
32. x = –21
33. x = 18.3 34. 3x – 1 = –x + 11; x = 3
35. x = 14
Test on Chapters 1–4 Form B
1. a. League office and other member clubs b. $52.50
2. a. D2 b. B2, C2, D2, E2, and F2
c. 86.2
AWSM Foundations of Algebra and Geometry
165
Answers
3.
Stem
Leaf
11
02337
10
158
9
557
8
47
4. Range: 18; mode: 81; median: 84 5. 72
6. –7
7. –24 8. 43 9. 2 l − 4
10. −3x 2 + 7x − 16
11. –13x + 31
12. 2 x 2 − 12 x + 11
13. a. $3.71
b. $8.77 c. $14.06 14. C ′ (–1, 1)
15. E'(–6, –2)
16. H'(2, –9)
17. (–3, –6)
18. (4, 5)
19.
20.
23.
26.
30.
34.
Slide and flip 21. 140˚ clockwise
22. 28, 33, 38
–486 24. 8, 14, 20, 26, 32 25. 6, 12, 20, 30, 42
2n – 1 27. P = 46 28. 238
29. x = –14
x = 8 31. x = –4 32. x = –63 33. x = 15.7
2x – 4 = –x + 11; x = 5
35. x = 12
Test on Chapters 5–6 Form A
1. Perimeter: 20.7 ft; area: 17.4 ft2
2. Perimeter: 68.3 cm; area: 171.85 cm2
b. 264 cm2 c. 216 cm3
3.a. Possible answer:
d. 6
10 cm
4. a. 63π ≈ 197.82 in.3
9 cm
b. 60π ≈ 188.4 in.2
5. a. 20 cm3
10 cm
8 cm
b. 84π ≈ 263.76 cm 3
6 cm
6. a. x = √

147 or 12.12
6 cm
b. x = √

205 or 14.32
7. a. 15; 0.2; 20%
1
;
6
b. 0.17; 17%
11. x = 9
8. 13.71 ft
9. x = 3.91
10 cm
1
8. (c)
9. a. 4, 0.25, 25%
b.
17
20, 0.85, 85%
10. x = √

461.77 or 21.49
11. x = √

254.19 or 15.94
12. 98 feet 13. x = 15.94 14. x = 26.93
15. 36 cm
1
12
2
1
1
16. a. 18
b. 9 17. 72 18. 3 19. a. 12
b. 12
1
1
c. 4 20. a. 70
b. 1680 c. 1680
21. 720
22. a. F b. F c. 18 23. a. 45% b. 11 to 9
c. 9 to 11 24. Linear 25. Linear 26. Quadratic
27. Square root 28. Exponential
29. a. 4
b. 4
3
c. 0
b.
d. –2
250
5
30. a. y = 12x + 20
y
c. 11
200
150
100
50
0
4
31.
5
8
y
x
12 16 20
32.
x
5
25
5
y
x
5
25
25
25
Test on Chapters 5–8 Form B
1. (c) 2. Perimeter: 62.8 cm; area: 129.6 cm2
3. Perimeter: 63.4 ft; area: 165.2 ft2
b. 270 in.2 c. 210 in.3
4. a. Possible answer:
d. 9
5. 504π – 1248
13 in.
≈ 334.56 in.3
6. 297π ≈ 932.58 cm3
7. a. 5 b. 109.22 m2
13 in.
c. 546.1 m3
8. (a)
1
9. a. 5, 0.2, 20%
5 in.
5 in.
12 in.
6 cm
8 cm
4 cm
4. a.
b. 88π ≈ 276.32
5. a. 30 cm3
b. 75π ≈ 235.5 cm 3
6. a. x = √

176 or 13.27
b. x = √

232 or 15.23
7. a. 14; 0.25; 25% b. 19; 0.11; 11%
8. 11.32 ft 9. x = 6.11 10. 49 cm 11. x = 7
166
3 ft
3 ft
10. 55 cm
Test on Chapters 5–6 Form B
1. Perimeter: 28.7 ft; area: 20.55 ft2
2. Perimeter: 65.5
cm; area: 170 cm2
b. 144 cm2
3.a. Possible answer:
c. 96 cm3
d. 6
10 cm
112π ≈ 351.68 in.3
Test on Chapters 5–8 Form A
1. (b) 2. Perimeter: 57.4 cm; area: 134.2 cm2
3. Perimeter: 58.4 cm; area: 137.55 cm2
b. 108 ft2 c. 48 ft3
4. a. Possible answer:
8 ft
d. 9
5. 396π – 616
≈
627.44
in.3
5 ft
6. 363π ≈ 1139.82 cm3
7. a. 5 b. 105.3 cm2
4 ft
c. 421.2 cm 3
in. 2
AWSM Foundations of Algebra and Geometry
7 in.
b.
19
25, 0.76, 76%
10. x = √

482.53 or 21.97
11. x = √

284.31 or 16.86
12. 79 ft 13. x = 12.21 14. x = 25.64 15. 40 cm
1
6
1
1
16. a. 79 b. 18
17. 70 18. 2 19. a. 12
b. 12
1
c. 16 20. a. 126
b. 3024 c. 3024
21. 1680
1
22. a. D or E b. D c. 8
23. a. 35%
b. 13 to 7
c. 7 to 13 24. Quadratic 25. Square root
© Addison Wesley Longman
26. Exponential 27. Linear 28. Linear
29. a. 1 b. 45 c. − 12 d. 12 30. a. y = 8 x + 40
y
c. 9
b.
250
200
150
100
50
0
31.
4
x
12 16 20
8
5
y
32.
x
25
5
25
© Addison Wesley Longman
5
y
x
5
25
25
AWSM Foundations of Algebra and Geometry
167
Test Item Correlation Chart
Chapter 1
Test 1-1
Forms A, B
1.
1-1A
2.
1-1A
3. a. 1-1B
3. b. 1-1B
3. c. 1-1B
4.
1-1B
5.
1-1B
6.
1-1B
7. a. 1-1C
7. b. 1-1C
8.
1-1C
Test 1-2
Forms A, B
1.
1-2A
2.
1-2A
3.
1-2B
4.
1-2B
5.
1-2C
6.
1-2C
7.
1-2D
8.
1-2D
9.
1-2D
Test 1-3
Forms A, B
1.
1-3A
2.
1-3A
3.
1-3A
4.
1-3A
5.
1-3B
6.
1-3B
7.
1-3C
8.
1-3C
9.
1-3B, C
Chapter 1
Test Forms A
and B
1. a. 1-1A
1. b. 1-1A
1. c. 1-1A
2a-b. 1-1B
2. c. 1-1B
3. a. 1-1C
3. b. 1-1C
3. c. 1-1C
3. d. 1-3A
4. a. 1-2A
4. b. 1-2A
5.
1-3A
6. a. 1-2D
6. b. 1-2D
7. a. 1-3C
7. b. 1-3C
8.
1-2B
Chapter 2
Test 2-1
Forms A, B
1.
2-1A
2.
2-1A
3.
2-1B
4.
2-1B
168
5.
6.
7.
8.
9.
10.
11.
12.
2-1C
2-1C
2-1D
2-1D
2-1D
2-1A
2-1A
2-1D
Test 2-2
Forms A, B
1.
2-2A
2.
2-2B
3.
2-2B
4.
2-2C
5.
2-2C
6.
2-2D
7.
2-2D
8.
2-2A, D
9.
2-2A, C
10.
2-2A, D
11.
2-2D
12.
2-2B
13.
2-2D
14.
2-2C
Test 2-3
Forms A, B
1.
2-3A
2.
2-3A
3.
2-3A
4.
2-3B
5.
2-3B
6.
2-3D
7.
2-3D
8.
2-3E, C
9.
2-3E, C
10.
2-3A
11.
2-3A
12.
2-3A
13. a. 2-3A
13. b. 2-3A
13. c. 2-3A
13. d. 2-3A
Chapter 2
Test Form A
1.
2-1A
2.
2-2C
3.
2-1D
4.
2-1D
5.
2-1A
2-1D
6.
2-2C, D
2-1D
7.
2-1D
2-2C, D
8.
2-3A
9.
2-3A
10.
2-3A
11.
2-3E
12.
2-3D, E
13.
2-3D
14.
2-3D, E
15.
2-1B
16.
2-1C
17.
2-1B
18.
2-3A
19.
20.
21.
22.
23.
24.
25.
25.
25.
25.
26.
a.
b.
c.
d.
2-2D, B
2-2B
2-2D
2-3A
2-3A
2-2A
2-3A
2-3A
2-3A
2-3A
2-3B
Chapter 2
Test Form B
1.
2-1A
2.
2-2C
3.
2-1D
4.
2-1D
5.
2-1A
2-1D
6.
2-2C, D
2-1D
7.
2-1D
2-2C, D
8.
2-3A
9.
2-3A
10.
2-3A
11.
2-3E
12.
2-3D, E
13.
2-3D
14.
2-3D, E
15.
2-1B
16.
2-1C
17.
2-1B
18.
2-3A
19.
2-2D, B
20.
2-2A, D
21.
2-2B
22.
2-3A
23.
2-3A
24.
2-2A
25. a. 2-3A
25. b. 2-3A
25. c. 2-3A
25. d. 2-3A
26.
2-3B
Chapter 3
Test 3-1
Forms A, B
1.
3-1A
2.
3-1A
3.
3-1A
4.
3-1A
5.
3-1B
6.
3-1B
7.
3-1B
8.
3-1A
9.
3-1A
Test 3-2
Forms A, B
1.
3-2A
2.
3-2A
3.
3-2A
4.
3-2B
5.
3-2B
AWSM Foundations of Algebra and Geometry
6.
7.
8.
9.
10.
11.
3-2B
3-2C
3-2C
3-2D
3-2D
3-2C
Test 3-3
Forms A, B
1.
3-3A
2.
3-3A
3.
3-3A
4.
3-3B
5.
3-3B
6.
3-3B
7.
3-3B
8.
3-3B
9.
3-3A
10.
3-3A
11.
3-3A
Chapter 3
Test Form A
1.
3-1A
2.
3-1A
3.
3-1B
4.
3-2B
5.
3-2B
6.
3-2B
7.
3-2A
8.
3-2A
9.
3-2C
10.
3-2C
11.
3-2C
12.
3-2C
13.
3-2C
14.
3-2D
15.
3-3A
16.
3-3A
17.
3-3A
18.
3-3B
19.
3-3B
20.
3-2C
Chapter 3
Test Form B
1.
3-1A
2.
3-1A
3.
3-1B
4.
3-2B
5.
3-2B
6.
3-2B
7.
3-2A
8.
3-2A
9.
3-2C
10.
3-2C
11.
3-2C
12.
3-2C
13.
3-2C
14.
3-2D
15.
3-3A
16.
3-3A
17.
3-3A
18.
3-3B
19.
3-3B
20.
3-2D
Chapter 4
Test 4-1
Forms A, B
1.
4-1A
2.
4-1A
3.
4-1B
4.
4-1B
5.
4-1B
6.
4-1B
7.
4-1C
8.
4-1C
9.
4-1A, B
10.
4-1A
Test 4-2
Forms A, B
1.
4-2A
2.
4-2A
3.
4-2B
4.
4-2B
5.
4-2C
6.
4-2C
7.
4-2D
`8.
4-2D
9.
4-2D
10.
4-2B
11.
4-2D
12.
4-2B, C
Chapter 4
Test Forms A
and B
1.
4-1A
2.
4-1A
3.
4-2B
4.
4-2B
5.
4-2D
6.
4-1C
7.
4-2A
8. a. 4-2C
8. b. 4-2C
9.
4-2B
10.
4-2B
11.
4-2B
12.
4-2D
13.
4-2D
14.
4-2D
15.
4-1A
16.
4-1C
17.
4-1B
Chapter 5
Test 5-1
Forms A, B
1.
5-1A
2.
5-1A
3.
5-1B
4.
5-1B
5.
5-1B
6.
5-1C
7.
5-1C
8.
5-1B
9.
5-1A
Test 5-2
Forms A, B
1.
5-2A
2.
5-2A
3.
5-2A
4.
5-2B
5.
5-2B
6.
5-2B
7.
5-2B
8.
5-2A
9.
5-2A
Test 5-3
Forms A, B
1.
5-3A
2.
5-3A
3.
5-3B
4.
5-3B
5.
5-3B
6.
5-3C
7.
5-3C
8.
5-3C
9.
5-3A,B
Chapter 5
Test Forms A
and B
1.
5-1B
2.
5-1B
5-2A
3.
5-1B
5-2A
4.
5-1B
5-2A
5. a. 5-3A
5. b. 5-1A
5. c. 5-3A
5. d. 5-3B
6.
5-1C
7.
5-3C
8. a. 5-1B,
5-2B
8. b. 5-3C
9. a. 5-1A
9. b. 5-1A
9. c. 5-1B
9. d. 5-3C
10.
5-2B
11.
5-3B
Chapter 6
Test 6-1
Forms A, B
1.
6-1A
2. a 6-1A
2. b. 6-1A
3.
6-1B
4. a. 6-1A
4. b. 6-1A
5.
6-1C
6.
6-1C
7.
6-1D
8.
6-1D
9.
6-1C,D
10
6-1B
© Addison Wesley Longman
Test 6-2
Forms A, B
1.
6-2A
2.
6-2A
3.
6-2B
4.
6-2B
5.
6-2C
6.
6-2C
7.
6-2D
8.
6-2D
9.
6-2D
10.
6-2B, C
Test 6-3
Forms A, B
1. a. 6-3A
1. b. 6-3A
2. a. 6-3A
2. b. 6-3A
3. a. 6-3A
3. b. 6-3A
4. a. 6-3A
4. b. 6-3A
5.
6-3B
6.
6-3B
7.
6-3B
8.
6-3B
9.
6-3B
10.
6-3A
Chapter 6
Test Forms A
and B
1. a. 6-2D
1. b. 6-2D
2.
6-1A
3.
6-1B
4. a. 6-1A
4. b. 6-1A
5.
6-3B
6.
6-3B
7.
6-3A
8.
6-3B
9. a. 6-1C
9. b. 6-1C
10.
6-2C
11.
6-1D
12.
6-1D
13.
6-2A
14.
6-2B
15. a. 6-3A
15. b. 6-3A
15. c. 6-3A
Test 7-2
Forms A, B
1.
7-2A
2.
7-2A
3.
7-2A
4.
7-2C
5.
7-2B
6.
7-2C
7.
7-2B
8.
7-2D
9. a. 7-2D
9. b. 7-2D
9. c. 7-2D
10.
7-2D
Chapter 7
Test Forms A
and B
1. a. 7-1B
1. b. 7-1B
2.
7-2D
3.
7-2A
4. a. 7-1C
4. b. 7-1C
4. c. 7-1C
4. d. 7-1C
5.
7-2A
6.
7-1D
7. a. 7-2A
7. b. 7-2A
8. a. 7-2C
8. b. 7-2C
8. c. 7-2C
9.
7-2B
10.
7-1B
11. a. 7-1B
11. b. 7-2D
12.
7-2B
13.
7-1B
Chapter 8
Chapter 7
Test 8-1
Forms A, B
1.
8-1A
2.
8-1A
3.
8-1B
4.
8-1B
5.
8-1B
6.
8-1C
7.
8-1C
8. a. 8-1B
8. b. 8-1C
8. c. 8-1C
9.
8-1C
10.
8-1B
Test 7-1
Forms A, B
1.
7-1B
2.
7-1B
3.
7-1B
4.
7-1C
5.
7-1C
6.
7-1C
7.
7-1C
8.
7-1C
9.
7-1D
10. a. 7-1D
10. b. 7-1D
Test 8-2
Forms A, B
1.
8-2A
2.
8-2A
3.
8-2A
4.
8-2A
5.
8-2B
6.
8-2B
7.
8-2B
8.
8-2B
9. a. 8-2B
9. b. 8-2B
© Addison Wesley Longman
9. c. 8-2B
10.
8-2A
Test 8-3
Forms A, B
1.
8-3B, A
2.
8-3B, A
3.
8-3B, A
4.
8-3B, A
5.
8-3B, A
6.
8-3A
7.
8-3B
8. a. 8-3B
8. b. 8-3B
8. c. 8-3B
9.
8-3A
Chapter 8
Test Forms A
and B
1.
8-2A
8-3A, B
2.
8-2A
8-3A, B
3.
8-2A
8-3A, B
4.
8-2A
8-3A, B
5.
8-2A
8-3A, B
6.
8-2A
8-3A, B
7.
8-3A, B
8-2A
8.
8-3A, B
8-2A
9. a. 8-1B
9. b. 8-2B
9. c. 8-2B
10. a. 8-2B
10. b. 8-2B
10. c. 8-2B
10. d. 8-2B
11. a. 8-1B
11. b. 8-1C
11. c. 8-1C
12.
8-3A
13.
8-3B
14. a. 8-3A
14. b. 8-3A
14. c. 8-3A
15.
8-1A
Test on
Chapters 1-2
Forms A, B
1. a. 1-1A
1. b. 1-1A
1. c. 1-1A
2. a. 1-1B
2. b. 1-1B
2. c. 1-1B
3. a. 1-1C
3. b. 1-1C,
1-3A
3. c. 1-3A
4.
1-3A
5. a. 1-2A
5. b. 1-2A
6.
7.
8.
9.
10.
11.
12.
13.
14.
15. a.
15. b.
15. c.
16. a.
16. b.
16. c.
2-1A
2-1, 2-2
2-1D
2-1D
2-3A
2-3D
2-3E
2-3E
2-3D
2-3A
2-3C
2-3C
2-3B
2-3B
2-3B
Test on
Chapters 1-4
Forms A, B
1. a. 1-2A
1. b. 1-2A
2. a. 1-1C
2. b. 1-1C
2. c. 1-3A
3.
1-3B
4.
1-3A
5.
2-1D
6.
2-2
7.
2-1D
8.
2-1D
9.
2-3A
10.
2-3E
11.
2-3E
12.
2-3D, E
13. a. 2-3B
13. b. 2-3B
13. c. 2-3B
14.
3-2B
15.
3-2B
16.
3-2B
17.
3-2C
18.
3-2C
19.
3-1A
20.
3-2A
21.
3-2D
22.
3-3A
23.
3-3A
24.
3-3B
25.
3-3B
26.
3-3B
27.
4-1A
28.
4-1A
29.
4-2B
30.
4-2D
31.
4-2D
32.
4-2C
33.
4-2B
34.
4-1C
35.
4-2D
Test on
Chapters 5-6
Forms A, B
1.
5-1B
5-2A
2.
5-1B
5-2A
3. a. 5-3A
3. b. 5-3A
3. c.
3. d.
4. a.
4. b.
5. a.
5. b.
6. a.
6. b.
7. a.
7. b.
8.
9.
10.
11.
5-3B
5-1A
5-3C
5-3A
5-3C
5-3C
6-2D
6-2D
6-1A
6-1A
6-3B
6-3A
6-2C
6-1D
29. b.
29. c.
29. d.
30. a.
30. b.
30. c.
31.
32.
8-2B
8-2B
8-2B
8-1B
8-1C
8-1C
8-3A
8-3B
Test on
Chapters 5-8
Forms A, B
1.
5-1B
2.
5-1B
5-2A
3.
5-1B
5-2A
4. a. 5-3A
4. b. 5-3A
4. c. 5-3B
4. d. 5-1A
5.
5-3C
6.
5-3C
7. a. 5-1A
7. b. 5-1B
7. c. 5-3C
8.
6-1A
9. a. 6-1A
9. b. 6-1A
10.
6-2D
11.
6-2D
12.
6-3A
13.
6-3B
14.
6-3B
15.
6-2C
16. a. 7-1B
16. b. 7-1B
17.
7-2A
18.
7-2A
19. a. 7-2A
19. b. 7-2A
19. c. 7-2A
20. a. 7-2A
20. b. 7-2B
20. c. 7-2B
21.
7-2B
22. a. 7-1C
22. b. 7-1C
22. c. 7-1C
23. a. 7-2D
23. b. 7-2D
23. c. 7-2D
24.
8-2A,
8-3A, B
25.
8-2A,
8-3A, B
26.
8-2A,
8-3A, B
27.
8-2A,
8-3A, B
28.
8-3A, B
29. a. 8-2B
AWSM Foundations of Algebra and Geometry
169