Test 14 Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Simplify
a. 19
b. 150
.
c. 1.56
d. 169
____
2. A store sells 4 batteries for $2.80. Which deal is a better buy?
a. 10 for $6.75
d. 6 for $5.10
b. 8 for $6.00
e. None correct
c. 2 for $1.60
____
3. Simplify
____
.
a.
c.
b.
d.

4.
. Find XY.
A
X
17
16.5
8.5
Z
C
B
a. s = 8
b. s = 8.25
____
5. Simplify
c. s = 33
d. s = 8.76
.
a.
b.
____
6. What is the slope of the line in the graph?
c.
d.
?
Y
y
4
2
O
–4
–2
2
4
x
–2
–4
____
a.

b.
3
2
c.

d.
3
2
2
3
e. None correct
2
3
7. Find the slope of the line that contains
a. 15
and
.
c.  5
3
7
b.  3
5
d.
7
15
____
8. Find the percent change from 320 to 592. Tell whether it is a percent increase or decrease. If necessary, round
your answer to the nearest percent.
a. 85% increase
c. 85% decrease
b. 46% increase
d. 46% decrease
____
9. Use the given data to make a box-and-whisker plot.
5, 4, 16, 21, 10, 6, 15
a.
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
b.
c.
d.
____ 10. Multiply.
2
(3
+7
a. 6
+ 14
b. 6
+7
– 2mnp)
–4
– 2mnp
c. 6
d. 2
+ 14
+2
–4
+2
____ 11.
equals
a. 11
b. 121
c. 11
d. 121
e. None correct
____ 12. Solve
by elimination.
a. (–2, –3)
b. (–2, 0)
c. (0, –2)
d. (–8, –6)
____ 13. Tell whether the relationship is an inverse variation. Explain.
x
y
2
409
3
240
4
194
a.
b.
c.
d.
The product xy is constant, so the relationship is not an inverse variation.
The product xy is not constant, so the relationship is an inverse variation.
The product xy is constant, so the relationship is an inverse variation.
The product xy is not constant, so the relationship is not an inverse variation.
____ 14. Write an equation in slope-intercept form for the line parallel to y = 5 x – 2 that passes through the point (8, –
2).
a. y =  1 x – 2
c. y = 5 x + 32
5
b. y =  1 x – 2
d. y = 5 x – 42
5
5
____ 15. Solve and graph the inequality w – 5  –3.
a. w  2
–10 –8
–6
–4
–2
0
2
4
6
8
10
b. w  –8
–10 –8
____ 16. Solve
c. w  –8
–10 –8
–6
–4
–2
0
2
4
6
8
10
–6
–4
–2
0
2
4
6
8
10
d. w  2
–6
–4
–2
0
2
4
6
8
10
–10 –8
.
a. ( 1 , 15 )
c. ( 1 , 17 )
2
2
2
2
b. This system has infinitely many solutions. d. This system has no solutions.
____ 17. You are playing a game that uses two fair number cubes. If the total on the number cubes is either 10 or 11 on
your next turn, you win the game. What is the probability of winning on your next turn? Express your answer
as a percent. If necessary, round your answer to the nearest tenth.
a. 86.1%
c. 8.3%
b. 13.9%
d. 0.5%
____ 18. Find the perimeter of a triangle whose side lengths are 7 cm,
cm, and
radical expression in simplest form.
a. (
c. (
) cm
) cm
b. (
d.
) cm
cm
cm. Give the answer as a
Problem
Solve the inequalities and graph them on a number line.
19.
20. The following measurements were taken of a tree.
5 months
8 months
Age
1.4 feet
2.24 feet
Height
13 months
3.64 feet
15 months
4.2 feet
Do the age and height show direct variation? If so, write the equation of variation. If not, explain why not.
Test 14 Review
Answer Section
MULTIPLE CHOICE
1. ANS:
REF:
NAT:
2. ANS:
NAT:
3. ANS:
REF:
NAT:
4. ANS:
NAT:
5. ANS:
REF:
NAT:
6. ANS:
NAT:
7. ANS:
NAT:
8. ANS:
REF:
NAT:
9. ANS:
NAT:
10. ANS:
NAT:
11. ANS:
NAT:
12. ANS:
REF:
NAT:
13. ANS:
REF:
NAT:
14. ANS:
REF:
NAT:
15. ANS:
NAT:
16. ANS:
REF:
NAT:
17. ANS:
D
PTS: 1
Lesson 7: Simplifying and Comparing Expressions with Symbols of Inclusion
NCTM NO.3a
MSC: Alg1_S01_00027
A
PTS: 1
REF: Lesson 31: Using Rates, Ratios, and Proportions
NCTM A.2b TOP: End-of-Course Exam
MSC: Alg1_S04_00002
A
PTS: 1
Lesson 32: Simplifying and Evaluating Expressions with Integer and Zero Exponents
NCTM A.2a TOP: Benchmark Test 2
MSC: Alg1_S04_00004
B
PTS: 1
REF: Lesson 36: Writing and Solving Proportions
NCTM NO.3a
MSC: Alg1_S04_00035
C
PTS: 1
Lesson 40: Simplifying and Evaluating Expressions Using the Power Rule for Exponents
NCTM A.2a MSC: Alg1_S04_00051
A
PTS: 1
REF: Lesson 41: Finding Rates of Change and Slope
NCTM A.4 TOP: End-of-Course Exam
MSC: Alg1_S05_00001
B
PTS: 1
REF: Lesson 44: Finding Slope Using the Slope Formula
NCTM A.4 MSC: Alg1_S05_00024
A
PTS: 1
Lesson 47: Solving Problems Involving the Percent of Change
NCTM NO.3a
MSC: Alg1_S05_00036
B
PTS: 1
REF: Lesson 54: Displaying Data in a Box-and-Whisker Plot
NCTM DAP.2b
MSC: Alg1_S06_00015
A
PTS: 1
REF: Lesson 58: Multiplying Polynomials
NCTM A.1e MSC: Alg1_S06_00032
A
PTS: 1
REF: Lesson 61: Simplifying Radical Expressions
NCTM A.2a TOP: End-of-Course Exam
MSC: Alg1_S07_00001
C
PTS: 1
Lesson 63: Solving Systems of Linear Equations by Elimination
NCTM A.2b MSC: Alg1_S07_00018
D
PTS: 1
Lesson 64: Identifying, Writing, and Graphing Inverse Variation
NCTM A.3c MSC: Alg1_S07_00023
D
PTS: 1
Lesson 65: Writing Equations of Parallel and Perpendicular Lines
NCTM A.4 MSC: Alg1_S07_00029
A
PTS: 1
REF: Lesson 66: Solving Inequalities by Adding or Subtracting
NCTM A.2b MSC: Alg1_S07_00032
D
PTS: 1
Lesson 67: Solving and Classifying Special Systems of Linear Equations
NCTM A.2b MSC: Alg1_S07_00037
B
PTS: 1
REF: Lesson 68: Mutually Exclusive and Inclusive Events
NAT: NCTM DAP.4d
18. ANS: B
PTS: 1
NAT: NCTM NO.2a
MSC: Alg1_S07_00040
REF: Lesson 69: Adding and Subtracting Radical Expressions
MSC: Alg1_S07_00046
PROBLEM
19. ANS:
–2
–1
0
1
2
3
4
PTS: 1
REF: Lesson 70: Solving Inequalities by Multiplying or Dividing
NAT: NCTM A.2b TOP: Cumulative Test 15
MSC: Alg1_S07_00084
20. ANS:
Yes, the ratio of height to age is constant.
5 months:
8 months:
13 months:
15 months:
The equation is: y=0.28x, where x is the age of the tree in months and y is the height of the tree in feet.
PTS: 1
REF: Investigation 7: Comparing Direct and Inverse Variation
NAT: NCTM A.3c MSC: Alg1_S07_00099