Module

For multiple-choice questions, solve each problem, choose the correct

answer from the choices provided, and then circle your answer in this book.
Circle only one answer for each question. If you change your mind, completely
erase the circle. You will not get credit for questions with more than one
answer circled, or for questions with no answers circled.

For student-produced response questions, solve each problem and write

your answer next to or under the question in the test book as described below.

• Once you've written your answer, circle it clearly. You will not receive credit
for anything written outside the circle, or for any questions with more than
one circled answer.
• If you find more than one correct answer, write and circle only one answer.
• Your answer can be up to 5 characters for a positive answer and up to
6 characters (including the negative sign) for a negative answer, but no more.
• If your answer is a fraction that is too long (over 5 characters for positive,
6 characters for negative), write the decimal equivalent.
• If your answer is a decimal that is too long (over 5 characters for positive,
6 characters for negative), truncate it or round at the fourth digit.
• If your answer is a mixed number (such as 3.!. ), write it as an improper
fraction (7/2) or its decimal equivalent (3.5). 2
• Don't include symbols such as a percent sign, comma, or dollar sign in
your circled answer.

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 Module
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The line graph shows the percent of cars for sale at a t m n
used car lot on a given day by model year.
15%

"''"'
'' - -
' \. I
..... '' I
I

5%
r:::
Q)

I:!
Q)
11.. 33

Model year
Note: Figure not drawn to scale.
For what model year is the percent of cars for sale the
smallest? In the figure, line m is parallel to line n, and line t
intersects both lines. What is the value of x ?
A) 2012
A) 33
B) 2013
B) 57
C) 2014
C) 123
D) 2015
D) 147

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2
For a particular machine that produces beads, 29 out
of every 100 beads it produces have a defect. A bead
produced by the machine will be selected at random.
What is the probability of selecting a bead that has a
defect?
1
A)
2,900
1
B)
29
29
C)
100
29
D)
10

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 Module
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6

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y Each side of a square has a length of 45. What is the
114
.
I
perimeter of this square?

11 I
19 I

8
__ ..... y

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6l
lf 7
1
T
55
=x
x+6
X
-10 - 8 - 6 - 4 - 2 u 246810 What is the positive solution to the given equation?
What is the y-intercept of the graph shown?
A) (−8, 0)
B) (−6, 0)

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C) (0, 6)
D) (0, 8)
8
An object travels at a constant speed of
12 centimeters per second. At this speed, what is the
time, in seconds, that it would take for the object to
travel 108 centimeters?

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A) 9
5 B) 96
C) 120
The total cost f (x), in dollars, to lease a car for
36 months from a particular car dealership is given D) 972
by f (x) = 36x + 1,000, where x is the monthly
payment, in dollars. What is the total cost to lease a
car when the monthly payment is $400?
A) $13,400
B) $13,000
C) $15,400
D) $37,400

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9 12

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Data set X: 5, 9, 9, 13 An object is kicked from a platform. The equation
Data set Y: 5, 9, 9, 13, 27
h = −4.9t 2 + 7t + 9 represents this situation, where
The lists give the values in data sets X and Y. Which
h is the height of the object above the ground, in
statement correctly compares the mean of data set X
and the mean of data set Y? meters, t seconds after it is kicked. Which number
represents the height, in meters, from which the
A) The mean of data set X is greater than the mean
of data set Y. object was kicked?
B) The mean of data set X is less than the mean of A) 0
data set Y.
B) 4.9
C) The means of data set X and data set Y are equal.
C) 7
D) There is not enough information to compare the
D) 9
means.

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10
A rocket contained 467,000 kilograms (kg) of
propellant before launch. Exactly 21 seconds after
launch, 362,105 kg of this propellant remained. On
13

f (x) = 4x 2 − 50x + 126

The given equation defines the function f. For what
value of x does f (x) reach its minimum?
average, approximately how much propellant, in kg,
did the rocket burn each second after launch?
A) 4,995
B) 17,243

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C) 39,481
D) 104,895
14
A small business owner budgets $2,200 to purchase
candles. The owner must purchase a minimum of

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200 candles to maintain the discounted pricing. If the
owner pays $4.90 per candle to purchase small
candles and $11.60 per candle to purchase large
11 candles, what is the maximum number of large
candles the owner can purchase to stay within the
If 4x + 2 = 12 , what is the value of 16x + 8 ? budget and maintain the discounted pricing?
A) 40
B) 48
C) 56
D) 60

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In the linear function f, f (0) = 8 and f (1) = 12.
Which equation defines f ?

A) f (x) = 12x + 8
B) f (x) = 4x
C) f (x) = 4x + 12
D) f (x) = 4x + 8
Note: Figure not drawn to scale.

The circle shown has center O, circumference 144π ,

and diameters PR and QS. The length of arc PS is

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twice the length of arc PQ . What is the length of
arc QR ?
16
A) 24π
2
The function f (w) = 6w gives the area of a B) 48π
2
rectangle, in square feet (ft ), if its width is w ft and C) 72π
its length is 6 times its width. Which of the following D) 96π
is the best interpretation of f (14) = 1,176 ?
A) If the width of the rectangle is 14 ft, then the area
of the rectangle is 1,176 ft 2 .
B) If the width of the rectangle is 14 ft, then the

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length of the rectangle is 1,176 ft.
C) If the width of the rectangle is 1,176 ft, then the
length of the rectangle is 14 ft. 18
D) If the width of the rectangle is 1,176 ft, then the A company that provides whale-watching tours takes
groups of 21 people at a time. The company’s
area of the rectangle is 14 ft 2 .
revenue is 80 dollars per adult and 60 dollars per
child. If the company’s revenue for one group
consisting of adults and children was 1,440 dollars,
how many people in the group were children?
A) 3
B) 9
C) 12
D) 18

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The function h is defined by h(x) = 4x + 28. The f (x) = (x + 6)(x + 5)(x − 4)
graph of y = h(x) in the xy-plane has an x-intercept
The function f is given. Which table of values
at (a, 0) and a y-intercept at (0, b), where a and b
represents y = f (x) − 3 ?
are constants. What is the value of a + b ?
A) 21 A) x y
B) 28 −6 −9
C) 32 −5 −8
D) 35 4 1

B) x y
−6 −3

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−5 −3
4 −3

20 C) x y
3 2 −6 −3
One of the factors of 2x + 42x + 208x is x + b,
where b is a positive constant. What is the smallest −5 −2
possible value of b ? 4 7

D) x y
−6 3
−5 3

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4 3

21
y = −1.5

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y = x 2 + 8x + a
In the given system of equations, a is a positive
constant. The system has exactly one distinct real
23
solution. What is the value of a ?
For the function q, the value of q(x) decreases by
45% for every increase in the value of x by 1. If
q(0) = 14, which equation defines q ?

A) q(x) = 0.55(14)x
B) q(x) = 1.45(14)x
C) q(x) = 14(0.55)x
D) q(x) = 14(1.45)x

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 Module
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25

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y RS = 20
10 ST = 48
8 TR = 52
6 The side lengths of right triangle RST are given.
....
-- -- 4 Triangle RST is similar to triangle UVW , where S
corresponds to V and T corresponds to W. What is
,__

10 -8 -6 -4 -2-Ll ->-2- 4- -6- >-8- ~)

-- X
the value of tan W ?
5
:2
A)
14
I
13
I6
I 5
lg B)
I 12
'10
12
C)
The graph of y = f (x) + 14 is shown. Which 13
equation defines function f ? 12
D)
1 5
A) f (x) = − x − 12
4
1
B) f (x) = − x + 16
4
1
C) f (x) = − x + 2
4
1
D) f (x) = − x − 14
4

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One gallon of paint will cover 220 square feet of a The number a is 110% greater than the number b.
surface. A room has a total wall area of w square feet. The number b is 90% less than 47. What is the
Which equation represents the total amount of value of a ?
paint P, in gallons, needed to paint the walls of the
room twice?
w
A) P =
110

B) P = 440w

w
C) P =
220

D) P = 220w

STOP
If you finish before time is called, you may check your work on this module only.
Do not turn to any other module in the test.

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