WX4P0010

The SAT®

Practice
Test #6 t:J

Make time to take the practice test.

It is one of the best ways to get ready
for the SAT.
After you have taken the practice test, score it
right away at sat.org/digital-practice.
This version of the SAT Practice Test is for students who will be taking
the digital SAT in nondigital format.

6VSL02
 Module
1

Math
27 QUESTIONS

DIRECTIONS
The questions in this section address a number of important math skills.
Use of a calculator is permitted for all questions.

,a-nH
NOTES

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function f is the set of all real numbers x for which f(x)
is a real number.

li04ii1Ut31
REFERENCE

G
£
x
CJw b~ ~ 0 '~
45°
b a x--../3 s
A =nr 2 A= Rw A =_!bh c2 = a2 + b2 Special Right Triangles
2
C=2nr

62h E} £

V= Rwh V= nr 2h
@
V = i,.r3
3
4
V=½nr 2h
£
1
V = 3 £wh

The number of degrees of arc in a circle is 360.

The number of radians of arc in a circle is 2n.
The sum of the measures in degrees of the angles of a triangle is 180.

Unauthorized copying or reuse of any part of this page is illegal. 30 CO NTI N U E

 Module
1

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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 CO NTI N U E
Module

32
...............................................................................................................................................................................................................................................................................................................
1

What value of p is the solution to the given

Unauthorized copying or reuse of any part of this page is illegal.

p + 3 + 8 = 10

equation?
A) −1

C) 15
D) 21
B) 5
1
 Module
1

-2 ------------~
The scatterplot shows the relationship between two variables, x and y.
y
5,000
•
4,000

3,000
•
2,000 •
1,000 • •
v - 1
•2 • 3 4 5 6 7
X

Which of the following graphs shows the most appropriate model for
the data?

A) y B) y
5,000 5,000

4,000 4,000

3,000 3,000

2,000 2,000

1,000 1,000

•3 4 5 6 7
X
3 4 5 6 7
X

C) y D) y
,
5,000 5,000
'•

I'
4,000 4,000

3,000 3,000

2,000
J. •
2,000
_L.---"'
V"
1,000
• • 1,000

L - 1
•2 • 3 4 5 6 7
X
4 5 6 7

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 Module
1

-3 - - - - - - - - ~ -5 -

...............................................................................................................................................................................................................................................................................................................
y
k 2 − 53 = 91
What is the positive solution to the given equation?
A) 144
-t
"'I-<
60

50

B) 72
s
'-g 40
;;I
C) 38 8
M 30

" "\
D) 12
20
1= I
I
'
OJ)
"a> 10
::r::
\ X
()
12345678910
Time (seconds)
-
4 --------~ An object was launched upward from a platform.
During a portion of a flight, a small airplane’s The graph shown models the height above ground, y,
cruising speed varied between 150 miles per hour in meters, of the object x seconds after it was
and 170 miles per hour. Which inequality best launched. For which of the following intervals of
represents this situation, where s is the cruising time was the height of the object increasing for the
speed, in miles per hour, during this portion of the entire interval?
flight?
A) From x = 0 to x = 2
A) s ≤ 20 B) From x = 0 to x = 4
B) s ≤ 150 C) From x = 2 to x = 3
C) s ≤ 170 D) From x = 3 to x = 4
D) 150 ≤ s ≤ 170

-6 - - - - - - - - ~
How many yards are equivalent to 1,116 inches?
(1 yard = 36 inches)

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 Module
1

-7 - - - - - ~ -9 - - - - - ~

...............................................................................................................................................................................................................................................................................................................
f x = 14 + 4x P t = 1,800 1.02 t
The function f represents the total cost, in dollars, of The function P gives the estimated number of
attending an arcade when x games are played. How
marine mammals in a certain area, where t is the
many games can be played for a total cost of $58?
number of years since a study began. What is the best
interpretation of P(0) = 1,800 in this context?
A) The estimated number of marine mammals in
the area was 102 when the study began.
B) The estimated number of marine mammals in
the area was 1,800 when the study began.
C) The estimated number of marine mammals in
-8 - - - - - ~ the area increased by 102 each year during the
f x =x+b study.
D) The estimated number of marine mammals in
For the linear function f, b is a constant.
the area increased by 1,800 each year during the
When x = 0 , f x = 30. What is the value of b ? study.

A) −30

1
B) −
30
1
C)
- 10 - - - - - ~
30
A manager is responsible for ordering supplies for a
D) 30
shaved ice shop. The shop’s inventory starts with
4,500 paper cups, and the manager estimates that 70
of these paper cups are used each day. Based on this
estimate, in how many days will the supply of paper
cups reach 1,700?
A) 20
B) 40
C) 60
D) 80

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 Module
1

11 13

...............................................................................................................................................................................................................................................................................................................
y > 4x + 8 8
The function h is defined by h(x ) = . What is
For which of the following tables are all the values of 5x + 6
x and their corresponding values of y solutions to the the value of h(2) ?
given inequality?

A) x y
2 19
4 30

-
6 41

B) x y 14
2 8
4 16
6 24

C) x y
2 13 3
4 18
6 23

D) x y
2 13 5
4 21 Note: Figure not drawn to scale.
6 29
The figure shows the lengths, in inches, of two sides
of a right triangle. What is the area of the triangle, in
square inches?

12

Which expression is equivalent to

2
x 2 + 11 + x − 5 x + 5 ?

A) x 4 + 23x 2 − 14
B) x 4 + 23x 2 + 96
C) x 4 + 12x 2 + 121
D) x 4 + x 2 + 146

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 Module
1

-15
-17 - - - - - - - - -

...............................................................................................................................................................................................................................................................................................................
y P = N 19 − C
13
12 The given equation relates the positive numbers P,
11 N, and C. Which equation correctly expresses C in
10 terms of P and N ?
9
8
.--- -r--,....,__
19 + P
,/ A) C =
7 N
6 /
5 / 19 − P
B) C =
4 N
3
2 P
C) C = 19 +
1 N
X
u 1 2 3 4 5 6 P
D) C = 19 −
The graph models the number of active projects a N
company was working on x months after the end of
November 2012, where 0 ≤ x ≤ 6. According to the
model, what is the predicted number of active
projects the company was working on at the end of
November 2012?
A) 0
B) 5 -18 - - - - - - - - -
C) 8 w 2 + 12w − 40 = 0
D) 9 Which of the following is a solution to the given
equation?

A) 6 − 2 19
B) 2 19
C) 19
D) −6 + 2 19
-16 The
-relationship
- -between-- ----
two variables, x and y, is
linear. For every increase in the value of x by 1, the
value of y increases by 8. When the value of x is 2,
the value of y is 18. Which equation represents this
relationship?
A) y = 2x + 18
B) y = 2x + 8
C) y = 8x + 2
D) y = 3x + 26

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 Module
1

-19 - - - - - - - - ~ - 21 - - - -

...............................................................................................................................................................................................................................................................................................................
The table shown summarizes the number of y
employees at each of the 17 restaurants in a town. 4
1 I
Number of employees Number of restaurants 2
2 to 7 2
X
8 to 13 4 6_,....::4_ l, 2_ _ 4_
f2
14 to 19 2 j
\ 12 I
20 to 25 7
26 to 31 2
\ 14 I
\ , I
I6 ,
I
Which of the following could be the median number \
of employees for the restaurants in this town? \.. J
V

A) 2 10
B) 9
C) 15 The graph of y = 2x 2 + bx + c is shown, where b
D) 21 and c are constants. What is the value of bc ?

-20 - - - - - - - - ~ -22 - - - - - - - - ~
In 2008, Zinah earned 14% more than in 2007, and in
What is the y-coordinate of the y-intercept of the 2009 Zinah earned 4% more than in 2008. If Zinah
3x 5y earned y times as much in 2009 as in 2007, what is
graph of =− + 21 in the xy-plane? the value of y ?
7 9
A) 0.5600
B) 1.0056
C) 1.1800
D) 1.1856

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 Module
1

- 23 - - - -
-
24

...............................................................................................................................................................................................................................................................................................................
y A

6
4
v-
/ 2' \
- -6 -4 -2 0
- X
2- f-
\ I
I',._ I~
'4
I
'6 C B
I
Note: Figure not drawn to scale.
Circle A (shown) is defined by the equation
(x + 2)2 + y 2 = 9. Circle B (not shown) is the result Right triangle ABC is shown. What is the value
of tan A ?
of shifting circle A down 6 units and increasing the
radius so that the radius of circle B is 2 times the 3
A)
radius of circle A. Which equation defines circle B ? 54

A) (x + 2)2 + (y + 6)2 = (4)(9) 1

B)
3
B) 2(x + 2)2 + 2(y + 6)2 = 9
C) (x + 2)2 + (y − 6)2 = (4)(9) C) 3
D) 2(x + 2)2 + 2(y − 6)2 = 9
D) 27 3

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 Module
1

25 26

................................................................................................................................................................................................................................................
At the time that an article was first featured on the x g(x)
home page of a news website, there were −27 3
40 comments on the article. An exponential model −9 0
estimates that at the end of each hour after the article
21 5
was first featured on the home page, the number of
comments on the article had increased by 190% of
the number of comments on the article at the end of The table shows three values of x and their
the previous hour. Which of the following equations
f x
best represents this model, where C is the estimated corresponding values of g x , where g x =
number of comments on the article t hours after the x+3
article was first featured on the home page and f is a linear function. What is the y-intercept of
and t ≤ 4 ?
the graph of y = f x in the xy-plane?
A) C = 40(1.19)t
B) C = 40(1.9)t A) 0, 36
C) C = 40(19)t B) 0, 12

D) C = 40(2.9)t C) 0, 4
D) 0, −9

27
In right triangle ABC, angle C is the right angle and
BC = 162. Point D on side AB is connected by a line
segment with point E on side AC such that line
segment DE is parallel to side BC and CE = 2AE .
What is the length of line segment DE ?

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.

Unauthorized copying or reuse of any part of this page is illegal. 40

No Test Material On This Page
 Module
2

Math
27 QUESTIONS

DIRECTIONS
The questions in this section address a number of important math skills.
Use of a calculator is permitted for all questions.

,a-nH
NOTES

Unless otherwise indicated:

• All variables and expressions represent real numbers.
• Figures provided are drawn to scale.
• All figures lie in a plane.
• The domain of a given function fis the set of all real numbers x for which f(x)
is a real number.

li04ii1Ut31
REFERENCE

G
£
x
CJw b~ ~ 0 '~
45°
b a x--../3 s
A =nr 2 A= Rw A =_!bh c2 = a2 + b2 Special Right Triangles
2
C=2nr

62h E} £

V= Rwh V= nr 2h
@
V = i,.r3
3
4
V=½nr 2h
£
1
V = 3 £wh

The number of degrees of arc in a circle is 360.

The number of radians of arc in a circle is 2n.
The sum of the measures in degrees of the angles of a triangle is 180.

Unauthorized copying or reuse of any part of this page is illegal. 42 CO NTI N U E

 Module
2

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.

Unauthorized copying or reuse of any part of this page is illegal. 43 CO NTI N U E

 Module
2

-1 - - - - - - - - ~ -3 - - - - - - - - ~

...............................................................................................................................................................................................................................................................................................................
The function f is defined by f x = 8x . For what On a street with 7 houses, 2 houses are blue. If a
value of x does f x = 72 ? house from this street is selected at random, what is
the probability of selecting a house that is blue?
A) 8
1
B) 9 A)
7
C) 64
2
D) 80 B)
7
5
C)
7
7
D)
7

-
2 -

-
4 --------~
The graph of function f is shown, where y = f (x ).
Note: Figure not drawn to scale. y
In the figure, two lines intersect at a point. Angle 1 10
and angle 2 are vertical angles. The measure of 8
angle 1 is 72°. What is the measure of angle 2? 6
.,
A) 72° 4 ,,,.
B) 108°
2 I.;

I
X
C) 144° 10 -8 -6 -4 ... ,I.A'"
2 2- 4- -6-~8- 10

... ...
.,. I
D) 288° I
I
4
'6
I

lg
I
'16

Which of the following describes function f ?

A) Increasing linear
B) Decreasing linear
C) Increasing exponential
D) Decreasing exponential

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 Module
2

-5 -- -7 - - - - - - - - -

...............................................................................................................................................................................................................................................................................................................
y The amount of Hanna’s bill for a food order was $50.
I
Hanna gave a tip of 20% of the amount of the bill.
I X
What is the amount, in dollars, of the tip Hanna
()
) 2 4 gave?

->---2 I
I
->---4
I
)

-~f
I
-~-s -8 - - - - - - - - -
Which expression is equivalent to 5x 5 − 6x 4 + 8x 3 ?

The graph of the function f is shown, where A) x 4 5x − 6

y = f x . What is the y-intercept of the graph?
B) x 3 5x 2 − 6x + 8
A) (0, −1) C) 8x 3 5x 2 − 6x + 1
B) (0, −4)
D) 6x 5 −6x 4 + 8x 3 + 1
C) (0, 1)
D) (0, 4)

-
9 ~--------
The ratio of the length of line segment XY to the
-
6 ~-------- length of line segment ZV is 6 to 1. If the length of
x=8 line segment XY is 102 inches, what is the length, in
x + 3y = 26 inches, of line segment ZV ?

The solution to the given system of equations is A) 17

(x , y ). What is the value of y ? B) 96
C) 102
D) 612

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 Module
2

- 10 - - - - - - ~ -12 - - - - - - ~

...............................................................................................................................................................................................................................................................................................................
7(2x − 3) = 63 (x + 2)(x − 5)(x + 9) = 0
Which equation has the same solution as the given What is a positive solution to the given equation?
equation?
A) 3
A) 2x − 3 = 9 B) 4
B) 2x − 3 = 56 C) 5
C) 2x − 21 = 63 D) 18
D) 2x − 21 = 70

-
13 - - - - - - ~

-
11 - - - - - - ~ 2
Brian saves of the $215 he earns each week from
The function f defined by f t = 14t + 9 gives the 5
estimated length, in inches, of a vine plant t months his job. If Brian continues to save at this rate, how
after Tavon purchased it. Which of the following is
the best interpretation of 9 in this context? much money, in dollars, will Brian save in 9 weeks?

A) Tavon will keep the vine plant for 9 months.

B) The vine plant is expected to grow 9 inches
each month.
C) The vine plant is expected to grow to a
maximum length of 9 inches.
D) The estimated length of the vine plant was
9 inches when Tavon purchased it. -
14 - - - - - - ~

A rectangle has an area of 155 square inches. The

length of the rectangle is 4 inches less than 7 times
the width of the rectangle. What is the width of the
rectangle, in inches?

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 Module
2

- 15 - - - - - - -17 - - - - - -

...............................................................................................................................................................................................................................................................................................................
4, 10, 18, 4, 4, 5, 6, 5 x 2 = −841
What is the median of the data set shown? How many distinct real solutions does the given
A) 4 equation have?
B) 5 A) Exactly one
C) 7 B) Exactly two
D) 14 C) Infinitely many
D) Zero

-
16 ~ - - - - -

A right circular cylinder has a volume of 432 cubic - 18 - - - - - -

centimeters. The area of the base of the cylinder is 1
24 square centimeters. What is the height, in Line k is defined by y = 7x + . Line j is
centimeters, of the cylinder? 8
perpendicular to line k in the xy-plane. What is
A) 18
B) 24 the slope of line j ?
C) 216
D) 10,368 A) −8

1
B) −
7
1
C)
8

D) 7

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 Module
2

-19 - - -
-
20

...............................................................................................................................................................................................................................................................................................................
Maximum number of If 48 c = 3
47 , what is the value of c ?
Number of cars passengers and crew
3 174
5 284
10 559

The table shows the linear relationship between the

number of cars, c, on a commuter train and the
maximum number of passengers and crew, p, that
the train can carry. Which equation represents the -21 - - -
linear relationship between c and p ? x − 2 − 4 y + 7 = 117
A) 55c − p = −9 x − 2 + 4 y + 7 = 442
B) 55c − p = 9 The solution to the given system of equations is
C) 55p − c = −9 (x , y ). What is the value of 6(x − 2) ?
D) 55p − c = 9

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ZI a1npow
z
IZ
- - - - - - - - -- - - - - - - - - --
22 24

...............................................................................................................................................................................................................................................................................................................
In triangle ABC , angle B is a right angle. The length
__t
The function f is defined by f (x ) = a x + b , where
of side AB is 10 37 and the length of side BC is
__t
a and b are constants. In the xy-plane, the graph of
24 37 . What is the length of side AC ?
__t
y = f (x ) passes through the point (−24, 0), and
A) 14 37
__t f (24) < 0. Which of the following must be true?

B) 26 37
__t A) f (0) = 24

C) 34 37
__t B) f (0) = −24
-~t C) a > b
D) 34 · 37
D) a < b

- - - - - - - - --
23 - - - - - - - - --
25
x
f (x ) = (1.84) 4 In the xy-plane, a circle has center C with
coordinates (h, k ). Points A and B lie on the circle.
The function f is defined by the given equation. The
Point A has coordinates h + 1, k + 102 , and
_J
p x ACB is a right angle. What is the length of AB ?
equation can be rewritten as f (x ) = 1 + ,
100
A)
_J
206
where p is a constant. Which of the following is
B) 2 102
_J

closest to the value of p ? C) 103 2

j

D) 103 3
j
A) 16
B) 21
C) 46
D) 96

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 Module
2

-26
-27 - - - - - - - - ~

...............................................................................................................................................................................................................................................
y 48x − 64y = 48y + 24
50 1
,/
.,,, ry = − 12x
8
40 In the given system of equations, r is a constant. If
,,/
the system has no solution, what is the value of r ?
30
/"
,;I
/'

20 ,,
/
,T

u 4 8 12 16 20
X

The scatterplot shows the relationship between

two variables, x and y, for data set E. A line of best fit
is shown. Data set F is created by multiplying the
y-coordinate of each data point from data set E by
3.9. Which of the following could be an equation of a
line of best fit for data set F?
A) y = 46.8 + 5.9x
B) y = 46.8 + 1.5x
C) y = 12 + 5.9x
D) y = 12 + 1.5x

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.

Unauthorized copying or reuse of any part of this page is illegal. 50