ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
1. (1.1) Examine the dotplots below from three sets of data.
0
2
4
0
2
4
0
2
4
6
Set A
8
10
6
8
10
6
Set C
8
10
Set
The mean of each set is 5. The standard deviations of the sets are 1.3, 2.0, and 2.9. Match each
data set with its standard deviation.
(A) Set A: 1.3
Set B: 2.0
Set C: 2.9
(B) Set A: 2.0
Set B: 1.3
Set C: 2.9
(C) Set A: 2.0
Set B: 2.9
Set C: 1.3
(D) Set A: 2.9
Set B: 1.3
Set C: 2.0
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
2. (1.2) Mrs. Johnson created this histogram of her 3rd period students’ test scores.
Frequency of
Test Scores
8
6
4
2
50
60
70 80 90 100
Test Scores
Which boxplot represents the same information as the histogram?
(A)
(B)
50
60
70 80 90 100
Test Scores
(C)
50
60
70 80 90 100
Test Scores
50
60
70 80 90 100
Test Scores
(D)
50
60
70 80 90 100
Test Scores
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
3. (1.2) This graph shows annual salaries (in thousands of dollars) for all workers in a certain city.
35
Frequency
30
25
20
15
10
5
0
50
100
150 200
Salary
250
300
350
The median salary is $80,500. Which value is the best approximation for the mean?
(A) $66,500
(B) $80,500
(C) $94,500
For questions 4 and 5, use the following scenario.
A survey was made of high-school-aged students owning cell phones with text messaging. The
survey asked how many text messages each student sends and receives per day. Some results are
shown in the table below.
Group
Girls, 14–17 years old
Boys, 14–17 years old
Total
Number Surveyed
270
282
552
Number of text messages sent/received per
day among teens who text
Mean
Median
187
100
176
50
4. (1.2) A histogram of the girls’ responses (not shown) has a strong right skew. Which statement
would support that observation?
(A) The number of girls’ surveyed is greater than the mean number of texts sent by girls.
(B) The mean number of texts sent by girls is greater than the median number of texts sent
by girls.
(C) The mean number of texts sent by girls is greater than the mean number of texts sent by
boys.
(D) The median number of texts sent by girls is greater than the median number of texts sent
by boys.
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Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
5. (1.2) Which expression shows the mean number of text messages for all girls and boys,
14–17 years old?
(A)
187  176
2
(B)
187  176
552
(C)
270 187  282 176
552
(D) It cannot be computed from the information given.
6. (1.2) Which group’s data has the larger interquartile range?
(A) Boys
(B) Girls
(C) Neither, they are equal.
(D) It cannot be computed from the information given.
7. (1.2) A data set has 4 values: {1, 5, 6, 8}. The mean of the data set is 5. Which expression shows the
computation of the standard deviation?
1 5  6  8
(A)
3
(B)
1  25  36  64
3
(C)
4  0 1 3
3
(D)
16  0  1  9
3
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
8. (1.2) Use the scatterplot below.
y
30
25
20
15
10
5
x
10
12
14
16
18
20
A linear model is fit to the data. What is the approximate value of its correlation coefficient?
(A) r = 0.8
(B) r = 1.0
(C) r = –0.8
(D) r = –1.0
For questions 9-12, use the boxplots of two data sets, P and Q, below.
Set P
Set Q
0
20
40
60
80
100
120
140
9. (1.3) Which data set has the larger median?
(A) Set P
(B) Set Q
(C) Neither, the medians are the same.
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Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
10. (1.3) Which data set has the larger interquartile range?
(A) Set P
(B) Set Q
(C) Neither, the interquartile ranges are the same.
11. (1.3) Which data set could be described as skewed left?
(A) Set P only
(B) Set Q only
(C) Both sets
(D) Neither set
12. (1.3) Which data set has values that are considered outliers?
(A) Set P only
(B) Set Q only
(C) Both sets
(D) Neither set
13. (1.3) The distributions of two classes’ final exam scores are shown below.
Mr. Smith
Mrs. Jones



   
Final Exam Scores


Which statement about the box-and-whisker plots is true?
(A) 50% of the scores for Mr. Smith’s class are between 65 and 80.
(B) 50% of the scores for Mrs. Jones’ class are between 80 and 100.
(C) The median scores for the two classes are the same.
(D) The interquartile range of scores for Mr. Smith’s class is greater than the interquartile
range of the scores for Mrs. Jones’ class.
2015–2016
Clark County School District
Page 6 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
For questions 14-16, use the following scenario.
A survey asked 100 students whether or not they like two sports: soccer and tennis. The results of
the survey are shown in the table.
Likes Soccer
Yes
No
Likes Yes
12
18
Tennis No
48
22
14. (1.4) What is the relative frequency of students who like tennis, soccer, or both?
(A) 0.12
(B) 0.66
(C) 0.78
(D) 0.90
15. (1.4) What is the relative frequency of students who like tennis?
(A) 0.12
(B) 0.18
(C) 0.25
(D) 0.30
16. (1.4) What is the relative frequency of students who like both tennis and soccer?
(A) 0.12
(B) 0.30
(C) 0.60
(D) 0.78
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
17. (1.4) A high school principal randomly surveyed students about a change in the dress code. The
results are shown in the table.
Class
Freshmen Sophomores Juniors
Favors
Yes
56
38
32
the change No
24
37
58
a) What percentage of all respondents favors the policy change?
b) Which class has the highest favorable percentage? Which class has the lowest
favorable percentage?
c) Is there a relationship between class and favoring the dress code change? Explain.
18. (2.2) Use the diagram below.
9.3 cm
6.2 cm
A rectangle’s sides are measured to be 6.2 cm and 9.3 cm. What is the rectangle’s area rounded to
the correct number of significant digits?
(A)
57.66 cm2
(B)
57.7 cm2
(C)
58 cm2
(D)
60 cm2
19. (2.3) In the formula F  I  at , F and I are measured in meters per second and t is measured in
seconds. In what units is a measured?
(A)
meters
(B)
seconds
(C)
meters per second
(D)
meters per second squared
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
20. (2.5) What are the coefficients in the expression 3x – 4y +2?
(A)
3x, –4y, and 2
(B)
3 and –4
(C)
x and y
(D)
2
21. (2.6) An athlete works out each day for 60 minutes, of which t minutes is spent running at 0.20
mi
mi
, and the rest of the time is spent walking at 0.05
. Which expression represents the total
min
min
distance the athlete travels in miles while working out each day?
(A)
 0.25 60
(B)
0.25t   60  t 
(C)
0.20t  0.05  60  t 
(D)
 0.20 0.05  t  60  t 
For questions 22 and 23, use the solution to the equation 2x – 3 = 11 below.
2x – 3 = 11
Start:
Step 1: 2x – 3 + 3 = 11 + 3
Step 2: 2x = 14
Step 3:
1
1
 2 x   14 
2
2
Step 4: x = 7
22. (2.7) In Step 1, the addition property of equality was applied.
(A)
True
(B)
False
23. (2.7) In Step 3, the symmetric property of equality was applied.
(A)
True
(B)
False
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
24. (2.8) Let the price of a meal at a restaurant be p. The tax and tip on the meal are generally a
percentage of the meal’s price. The total cost of the meal is its price plus tax plus tip.
(a) Write an expression for the total cost of a meal where the tax is 8% and the tip is 15%.
(b)
Write an expression for the total cost of a meal where the tax is x% and the tip is g%.
(c)
David calculates a 15% tip by dividing the meal price by 10, dividing that number by 2,
p
10
p
and then adding the two numbers, i.e. tip 
. Explain whether or not this

10
2
method is correct.
 
25. (2.9) Tim was asked to solve the equation kx  my  mx for x. His solution is shown below.
Start:
kx  my  mx
Step 1:
kx  mx  my
Step 2:
x  k  m  my
Step 3:
x
my
km
In which step did Tim make his first mistake when solving the equation?
(A)
Step 1
(B)
Step 2
(C)
Step 3
(D)
Tim did not make a mistake.
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
26. (2.9) The potential energy P of an object relative to the ground is equal to the product of its mass m,
the acceleration due to gravity g, and its height above the ground h is represented in the equation 𝑃 =
𝑚𝑔ℎ. Solve the formula for height h.
P
h
(A)
mg
(B)
h
mg
P
(C)
h = Pmg
ALGEBRA
I
(D)
h = PSEMESTER
– mg
2013–2014
EXAMS
PRACTICE MATERIALS
SEMESTER 1
x f  x0
27. (2.9) In the formula v 
, xf and x0 are both measured in feet and t is measured in seconds.
For questions 85–86, uset this scenario.
(a)
In what units is v measured?
y
The tuition at a private college can be modeled by the equation T ( y ) = $30, 000 (1.07 ) , where y is
(b) Let x0 = 3,300 ft. Convert x0 to miles. (1 mile = 5280 feet)
the number of years since 2000.
(c) Solve the formula for xf.
85.internet
The tuition
in thesells
yearU.S.
2000
wasfor
$30,000.
28. (3.4) An
business
flags
$16.95 each, plus $2.50 shipping per flag. Shipping is
free, however, on orders where more than $100.00 of flags are purchased. Which correctly shows the
True be purchased to get free shipping?
number of flags(A)
f that must
(B)
False
16.95 f  100
(A)
growth
rate of tuition is 107%.
16.95
f  100
(B)86. The
(C)
(A)
19.45 f True
 100
(D)
(B)
16.95 f False
 2.50  100
29. (3.5) Solve each absolute value equation.
87. Solve each absolute value equation.
(a)
x + 6 = 21
(b)
18 = 3 x - 1
(c)
3 y + 4 = 31
(d)
x - 3 + 14 = 5
2015–2016
Clark County School District
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Revised September 2015
(A)
meters
(B)
seconds
ALGEBRA I
(C)
metersEXAMS
per second
2015–2016 SEMESTER
PRACTICE (D)
MATERIALS
meters per second squared
SEMESTER 1
Some
extinguishers
contain
pressurized
water.
water
pressure
should
be 162.5
30. (3.7) 3.
Some
fire fire
extinguishers
contain
pressurized
water.
TheThe
water
pressure
should
be 162.5
psi psi
(pounds
per
square
inch),
but
it
is
acceptable
for
the
pressure
to
differ
from
this
value
by
(pounds per square inch), but it is acceptable for the pressure to differ from this value by at most 12.5at most
12.5solve
psi. Write
and solve aninequality
absolute-value
the range
of acceptable pressures.
psi. Write and
an absolute-value
to findinequality
the rangeto
offind
acceptable
pressures.
(A)
p - 12.5 £ 162.5
-150.0 £ p £ 175.0
p - 12.5 £ 162.5
(B)
p £ - 150.0 or p ³ 175.0
p - 162.5 £ 12.5
(C)
p £ 150.0 or p ³ 175.0
(D)
p - 162.5 £ 12.5
150.0 £ p £ 175.0
–
2013–2014
31. (4.2)
f  x  District
5x  2 . What is f  4  ?
ClarkGiven
County School
(A)
18
(B)
54
(C)
20x – 2
(D)
20x – 8
Page 1 of 38
Revised 10/6/2013
32. (4.2) Kathy has two sets of numbers, A and B. The sets are defined as follows:
A = {1, 2, 3}
B = {10, 20, 30}
Kathy created four relations using elements from Set A for the domains and elements from Set B
for the ranges. Which of Kathy’s relations is NOT a function?
(A)
{(1, 10), (1, 20), (1, 30)}
(B)
{(1, 10), (2, 10), (3, 10)}
(C)
{(1, 10), (2, 20), (3, 30)}
(D)
{(1, 10), (2, 30), (3, 20)}
2015–2016
Clark County School District
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Revised September 2015
2013–2014 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
ALGEBRA I
2015–2016 SEMESTER EXAMS
17. Kathy has two sets of numbers, A and B. The sets are defined as follows:
PRACTICE MATERIALS
SEMESTER 1 A = {1, 2, 3}
33. (4.3) Justin B
plans
to spend
$20 on sports cards. Regular cards cost $3.50 per pack and foil cards
= {10,
20, 30}
cost $4.50 per pack. Which inequality shows the relationship between the number of packs of regular
createdoffour
relations
Set A to
forbuy?
the domains and elements from Set B
cards (r) andKathy
the number
packs
of foil using
cards elements
(f) Justin from
can afford
for the ranges. Which of Kathy’s relations is NOT a function?
3.5 f  4.5r  20
(A)
(A)
{(1, 10), (1, 20), (1, 30)}
3.5r  4.5 f  20
(B) (B)
{(1, 10), (2, 10), (3, 10)}
3.5 f {(1,
4.5r10),
 20(2, 20), (3, 30)}
(C) (C)
(D)
(D)
{(1,f 10),
3.5r  4.5
 20(2, 30), (3, 20)}
18. The exchange rate for U.S. Dollars to Euros is $1.50 = 1 Euro. At a bank, there is a flat $20.00
34. (4.3) The exchange rate for U.S. Dollars to Euros is $1.50 = 1 Euro. At a bank, there is a flat $20.00
service fee to exchange dollars for Euros. Which graph shows how many Euros E would be
service fee to exchange dollars for Euros. Which graph shows how many Euros E would be received if
received if an amount D in U.S. Dollars were exchanged at the bank?
an amount D in U.S. Dollars were exchanged at the bank?
(A)
(B)
(C)
(D)
2013–2014
Clark County School District
2015–2016
Clark County School District
Page 7 of 38
Page 13 of 38
Revised 10/6/2013
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
35. (4.3) Lana is buying balloons for a party. Small balloons cost 30 cents each; large balloons cost 80
cents each. Lana has $3.00 to spend on balloons.
The number of large balloons L she can buy as a function of the number of small balloons S bought
300  30 S
is given by L  S  
. What are the domain and range of this function?
80
(A)
domain: all real numbers
range: all real numbers
(B)
domain: all real numbers, where 0 ≤ S ≤ 10
range: all real numbers, where 0 ≤ L ≤ 3.75
(C)
domain: all positive integers
range: all positive integers
(D)
domain: all integers, where 0 ≤ S ≤ 10
range: all integers, where 0 ≤ L ≤ 3
36. (4.3) To fix a clogged pipe, Dripmaster Plumbing charges $75 plus $40 per hour. NoClog Plumbers
charges $50 plus $70 per hour for the same service. Which function shows the difference in charges
between the two companies for a repair taking h hours?
(A)
Difference = $20 – $35h
(B)
Difference = $25 – $30h
(C)
Difference = $25 – $110h
37. (4.3) Steve borrows $4,800 from his parents to purchase a used car. No interest is charged on the
loan and Steve will pay his parents $150 per month until the loan is paid off.
(a)
Write a function that describes the relationship between the amount Steve owes his
parents and the number of months since the loan was made.
(b)
What are the domain and range of the function in part (a)? What do these represent in
context of the situation?
(c)
Graph the function in part (a), identify important points, and explain why they are
important.
2015–2016
Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
38. (4.3) Explain why the relation y = x2 is a function even though x = –2 and x = 2 both
produce y = 4.
39. (4.6) The first five terms of a sequence are given.
14
17
20
23
26
Which equation describes the nth term of the sequence?
(A)
f (n)  3  11n
(B)
f (n)  11  3n
(C)
f (n)  14  17 n
(D)
f (n)  17  3n
40. (4.6) What are the first five terms of the sequence defined as
a(1) = 3
a(n + 1) = a(n) – 4, for n ≥ 1?
(A)
–3, –2, –1, 0, 1
(B)
–1, –5, –9, –13, –17
(C)
3, –1, –5, –9, –13
(D)
3, –1, 0, 1, 2
41. (4.6) Let g(x) = 2x – 6. Which expression represents g(2x)?
(A)
x–3
(B)
2x – 12
(C)
4x – 12
(D)
4x – 6
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Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
42. (4.6) A sequence t is defined as t  n   0.57  0.06n , where n ≥ 1. Which is an equivalent recursive
definition for sequence t?
(A)
t 1  0.57; t  n  1  t  n   0.06, for n  1
(B)
t 1  0.51; t  n  1  t  n   0.06, for n  1
(C)
t 1  0.57; t  n  1  t  n   0.51, for n  1
(D)
t 1  0.51; t  n  1  t  n   0.51, for n  1
43. (4.6) The graph shows the first five terms of an arithmetic sequence whose domain is the positive
integers.
Which is a definition of the sequence?
(A)
t  n  8  n
(B)
t  n   8  2n
(C)
t  n   10  n
(D)
t  n   10  2n
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Clark County School District
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
44. (4.6) A sequence t is defined where the first term is –4. Each successive term is 3 more than the
term before it.
(a) Write an explicit formula for the sequence t.
(b)
A second function is defined as s(n) = 2 + 2n. Compare the rates of change of t(n) and
s(n).
(c)
For what value(s) of n does t(n) = s(n)? Show your work.
45. (4.7) Sam is beginning an exercise program that begins the first week with 30 minutes of daily
exercise. Each week, daily exercise is increased by 5 minutes. Which function represents the number of
minutes of daily exercise in week n?
f (1)  30; f (n)  30n , for n ≥ 2
(A)
(B)
f (1)  30; f (n)  5n  30 , for n ≥ 2
(C)
f (1)  30; f (n)  f (n  1)  5 , for n ≥ 2
(D)
f (1)  30; f (n)  5 f (n  1) , for n ≥ 2
For questions 46 and 47, use the table.
x 3 5 8 12 17
y 12 16 22 30 40
46. (5.1) The ordered pairs (x, y) form a linear function.
(A)
True
(B)
False
47. (5.1) The value of y changes by increasingly larger amounts for each change of 1 in x.
(A)
True
(B)
False
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Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
48. (5.2) What are the intercepts of the line with equation 2x – 3y = 30?
(A)
(–10, 0) and (0, 15)
(B)
(6, 0) and (0, –6)
(C)
(15, 0) and (0, –10)
(D)
(30, 0) and (0, –30)
49. (5.3) Use the table below.
x
3
6
9
12
f(x)
10
14
18
22
What is the slope of y = f(x)?
(A)
4
(B)
4
3
(C)
10
3
(D)
22
12
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Clark County School District
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Revised September 2015
ALGEBRA I
ALGEBRA I
2015–2016
2013–2014 SEMESTER
SEMESTER EXAMS
EXAMS
PRACTICE MATERIALS
PRACTICE MATERIALS
SEMESTER
SEMESTER 1
1
50. 21.
(5.3)
Which
graph
= –2x
+ 1?
Which
is is
thethe
graph
of of
y =y –2x
+ 1?
(A)
(B)
(C)
(D)
2015–2016
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2013–2014
Clark County School District
Page 19 of 38
Page 9 of 38
Revised September 2015
Revised 10/6/2013
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
51. (5.3) This graph shows three lines named a, b, and c.
a
b
c
Which ratio of the lines’ slopes equals
(A)
slope of line a
slope of line b
(B)
slope of line a
slope of line c
(C)
slope of line b
slope of line a
(D)
slope of line c
slope of line b
2015–2016
Clark County School District
1
?
2
Page 20 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
52. (5.3) Use the graph.
What is the slope of the line?
(A)
3
5
(B)
5
3
(C)

3
5
(D)

5
3
2015–2016
Clark County School District
Page 21 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
For questions 53 and 54, use this graph that helps convert temperatures from degrees Fahrenheit to
degrees Celsius.
°C



°F







Three important temperatures are shown on the graph: –40°F = –40°C, 32°F = 0°C, and
212°F = 100°C.
53. (5.3) A temperature increase of 9°F corresponds to an increase of 5°C.
(A)
True
(B)
False
54. (5.3) The slope of the line is 1.8
(A)
True
(B)
False
F
.
C
55. (5.4) When the function f = k + ac is graphed on the axes shown,
what quantity corresponds to the intercept on the vertical axis?
(A)
f
(B)
k
(C)
f–k
(D)
f
c
f k
a
2015–2016
Clark County School District
Page 22 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
56. (5.4) A line is defined by the equation y 
2
x  3 . Which ordered pair does NOT represent a point
5
on the line?
(A)
(–5, 0)
(B)
(0, 3)
(C)
(1,
(D)
(5, 5)
17
)
5
57. (5.4) A certain child’s weight was measured at 16.6 pounds. The child then gained weight at a rate
pounds
of 0.65 pounds per month. On a graph of weight versus time, what would 0.65
represent?
month
(A)
The y-intercept of the graph
(B)
The x-intercept of the graph
(C)
The slope of the graph
58. (5.5) Which is the graph of 2x – 3y < 12?
(A)
(B)
(C)
(D)
2015–2016
Clark County School District
Page 23 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
59. (5.5) Use the graph.
Which inequality is represented in the graph?
(A)
x≤1
(B)
x≥1
(C)
y≤1
(D)
y≥1
For questions 60-62, use the inequality y 
x
1 .
2
60. (5.5) (0, 1) is a solution of the inequality.
(A)
True
(B)
False
61. (5.5) (1, 2) is a solution of the inequality.
(A)
True
(B)
False
62. (5.5) (2, 0) is a solution of the inequality.
(A)
True
(B)
False
2015–2016
Clark County School District
Page 24 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
63. (5.5) What is the equation of the horizontal line through the point (4, –7)?
(A)
x=4
(B)
x = –7
(C)
y=4
(D)
y = –7
64. (5.6) Use the graph.
y

y = f(x)


y = g(x)
x
y = h(x)

If f  x1   g  x1  and g  x2   h  x2  , what is f  x1   g  x2  ?
(A)
–3
(B)
0
(C)
3
(D)
4
2015–2016
Clark County School District
Page 25 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
65. (5.6) The graph shows a line segment.
P(k)
(28, 30)
(12, 18)
k
Which equation best describes the line segment?
(A)
P k  
3
k 9
4
(B)
P k  
3
k  18
4
(C)
P k  
4
k 2
3
(D)
P k  
4
k  12
3
66. (5.7) What is the equation of the line that passes through the points (5, –1) and (4, –5)?
(A)
y  5  4  x  4
(B)
y  5  4  x  4
(C)
y 5 
1
 x  4
4
(D)
y5 
1
 x  4
4
2015–2016
Clark County School District
Page 26 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
For questions 67-69, use the scenario below.
A phone call using a prepaid card consists of a fixed fee to place the call plus an additional fee for
each minute of the call.
The cost of an n-minute phone call with a card from Company A is A(n) = $0.99 + $0.25n, where n
is a positive integer.
The cost of an n-minute phone call with a card from Company B is shown in the graph below.
B(n)

total cost ($)







minutes used

 n
67. (6.1) The per minute fee for Company B is greater than Company A.
(A)
True
(B)
False
68. (6.1) The fixed fee for Company B is greater than Company A.
(A)
True
(B)
False
69. (6.1) A call using Company B will always cost more than the same length call using Company A.
(A)
True
(B)
False
2015–2016
Clark County School District
Page 27 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
Total cost ($)
70. (6.2) An online music service charges a $25 start-up fee plus $8 per month for unlimited downloads.
The graph illustrates the total cost of a membership for a given number of months.
y













            x
Number of months
What would happen to the graph if the start-up fee changed from $25 to $32?
(A)
The slope would increase by $7/month.
(B)
The slope would decrease by $7/month.
(C)
The graph would translate up $7.
(D)
The graph would translate down $7.
2015–2016
Clark County School District
Page 28 of 38
Revised September 2015
ALGEBRA I
2015–2016
EXAMS
ALGEBRA SEMESTER
I
PRACTICE
MATERIALS
2013–2014 SEMESTER EXAMS
SEMESTER
1
PRACTICE MATERIALS
SEMESTER 1
71. (6.2) The graph shows the linear function y  f  x  .
49. The graph shows the linear function y = f ( x ) .
y
4
-4
4 x
-4
Which graph shows y = f ( x ) + 1?
y
y
4
(A)
4
(B)
-4
4 x
-4
-4
4 x
-4
y
4
(C)
-4
4 x
-4
2015–2016
Clark County School District
2013–2014
Clark County School District
Page 29 of 38
Page 20 of 38
Revised September 2015
Revised 10/6/2013
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
72. (6.3) The scatterplot below represents the forearm lengths and foot lengths of 10 people.
Foot length (cm)








       
Forearm length
(cm)
Based on a linear model of the data, which is the best prediction for the length of a person’s foot if
his/her forearm length is 21 centimeters?
(A) 19 cm
(B) 20 cm
(C) 22 cm
(D) 24 cm
2015–2016
Clark County School District
Page 30 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
73. (6.3) The line of best fit for the scatterplot below is yˆ  1.4 x  2.9
y
20
16
12
8
4
x
0
0
2
4
6
8
10
Predict y when x = 6.
(A) 2.2
(B) 10.5
(C) 11.3
(D) 18.8
2015–2016
Clark County School District
Page 31 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
74. (6.3) Which equation best describes fits the data shown in the scatterplot?
y
10
9
8
7
6
5
4
3
2
1
1
2
3
4
5
6
7
8
9 10 x
3
(A) y   x  7
5
1
(B) y   x  8
3
(C) y  x  8
(D) y  4
2015–2016
Clark County School District
Page 32 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
75. (6.3) The line of best fit for the scatterplot below is yˆ  1.4 x  2.9
y
20
16
12
8
4
x
0
0
2
4
6
8
10
What is the residual for the point (4, 10)?
(A) –1.5
(B) 1.5
(C) 8.5
(D) 10
76. (6.3) A scatterplot is made of a city’s population over time. The equation of the line of best fit is
pˆ  629t  150, 000 where p̂ is the city’s predicted population size and t is the number of years since
2000. What is the meaning of the slope of this line?
(A) In 2000, the city’s population was about 629 people.
(B) In 2000, the city’s population was about 150,000 people.
(C) The city’s population increases by about 629 people each year.
(D) The city’s population increases by about 150,000 people each year.
77. (6.3) The equation yˆ  31.4  0.12 x , gives the predicted population ŷ of a city (in thousands) x
years after 1975. What is meaning of the y-intercept?
(A) In 1975, the city’s population was about 120 people.
(B) In 1975, the city’s population was about 31,400 people.
(C) The city’s population decreases by about 120 people each year.
(D) The city’s population decreases by about 31,400 people each year.
2015–2016
Clark County School District
Page 33 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
78. (6.3) The equation Pˆ  9.50m  509 gives the predicted price P̂ of a particular style of television
m months after the style first became available. What is the meaning of the P-intercept?
(A) The original price of the television was about $9.50.
(B) The original price of the television was about $509.00.
(C) The price of the television decreases by about $9.50 each month.
(D) The price of the television increases by about $509.00 each month.
79. (6.3) The data below comes from a scatterplot.
x
y
2
2
3
8
4
4
5
1
6
10
7
4
8
6
8
10
8
2
9
7
10
3
10
9
Which best describes the linear relationship between x and y?
(A) Weak or no correlation
(B) Strong positive correlation
(C) Strong negative correlation
For questions 80-82, evaluate the truth of each statement about the correlation coefficient r.
80. (6.3) A value of r near zero indicates there is a weak linear relationship between x and y.
(A) True
(B) False
81. (6.3) A value of r = –0.5 indicates a weaker linear relationship between x and y than a value
of r = 0.5.
(A) True
(B) False
82. (6.3) A value of r = 1 indicates that there is a cause-and-effect relationship between x and y.
(A) True
(B) False
2015–2016
Clark County School District
Page 34 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
For questions 83 and 84, use the following scenario.
A linear model describes the relationship between two variables, x and y. The correlation
coefficient of the linear fit is r = –0.9.
83. (6.3) The slope of the line of best fit is negative.
(A) True
(B) False
84. (6.3) The linear relationship between x and y is weak.
(A) True
(B) False
2015–2016
Clark County School District
Page 35 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
85. (6.3) The table shows the amount of rainfall in Seattle during the month of December in the years
1980–1999.
The histogram shows the distribution of rainfall in Seattle during the month of July in the same
years, using intervals of 0.5 inches.

July
Frequency

















Rainfall (inches)



Frequenc
y





December








Monthly Rainfall (inches)
Year
December
1980
7.4
1981
5.6
1982
6.2
1983
5.0
1984
5.0
1985
1.5
1986
6.8
1987
6.1
1988
7.5
1989
4.8
1990
3.1
1991
3.3
1992
4.1
1993
4.5
1994
8.2
1995
6.4
1996
5.2
1997
2.2
1998
9.0
1999
5.1
a) Create a histogram on the grid above that shows the
distribution of rainfall in December using intervals of 1.0 inch.
b) Describe the shapes of the distributions for July and December.
c) How does the mean rainfall for July compare to the median rainfall? Explain.
d) Compare the median rainfalls for July and December over the period 1980–1999.
e) Describe how to compute the standard deviation of the December rainfalls. (You do
not have to actually compute it.)
f) Which month’s rainfall, July or December, has the greater standard deviation?
Explain.
2015–2016
Clark County School District
Page 36 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
g) One of the rainfall amounts for July was recorded at 2.4 inches. In actuality, it was
only
1.4 inches. Explain how this would affect the mean and median of July rainfall.
Rainfall (inches)
h) On the grid below, create a scatterplot showing December monthly rainfall over the
period from 1980–1999.
December










Year



i) Describe the relationship between December rainfall and year.
2015–2016
Clark County School District
Page 37 of 38
Revised September 2015
ALGEBRA I
2015–2016 SEMESTER EXAMS
PRACTICE MATERIALS
SEMESTER 1
86. (6.5) Two residual plots are shown below.
residuals
Plot I





x







Plot II
residuals





x







Which residual plot(s) would indicate a linear model is appropriate?
(A) Plot I only
(B) Plot II only
(C) Both Plot I and Plot II
(D) Neither Plot I nor Plot II
2015–2016
Clark County School District
Page 38 of 38
Revised September 2015