PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.

com/pdfstudio
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.

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.

REFERENCE

A =nr 2
C=2nr
A= l w ½
A = bh c2 = a2 + b2 Special Right Triangles

V= l wh V= nr 2 h π
V =4/3 r3 ⅓
V= nr 2 h ⅓
V = l 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

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
1 4
What is 10% of 470? The function g is defined by g (x) = x 2 + 9. For
A) 37 which value of x is g(x) = 25 ?
B) 47 A) 4
C) 423 B) 5
D) 460 C) 9
D) 13

2
4x + 6 = 18 5
Which equation has the same solution as the given Each face of a fair 14-sided die is labeled with a
equation? number from 1 through 14, with a different number
appearing on each face. If the die is rolled one time,
A) 4x = 108
what is the probability of rolling a 2?
B) 4x = 24
1
C) 4x = 12 A)
14
D) 4x = 3
2
B)
14
12
C)
14
13
D)
14
3
The total cost, in dollars, to rent a surfboard consists
of a $25 service fee and a $10 per hour rental fee. A
person rents a surfboard for t hours and intends to
spend a maximum of $75 to rent the surfboard.
Which inequality represents this situation?
A) 10t ≤ 75 6

B) 10 + 25t ≤ 75 A printer produces posters at a constant rate of

42 posters per minute. At what rate, in posters
C) 25t ≤ 75 per hour, does the printer produce the posters?
D) 25 + 10t ≤ 75

Unauthorized copying or reuse of any part of this page is illegal. 32 CO NTI N U E

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
7 10
The function f is defined by the equation y = -3x
f (x ) = 7x + 2. What is the value of f (x ) when 4x + y = 15
x=4?
The solution to the given system of equations
is (x, y). What is the value of x ?
A) 1
B) 5
C) 15
D) 45
8
A teacher is creating an assignment worth 70 points.
The assignment will consist of questions worth
1 point and questions worth 3 points. Which
equation represents this situation, where x represents
the number of 1-point questions and y represents the
number of 3-point questions?
A) 4xy = 70 11

B) 4(x + y ) = 70
C) 3x + y = 70
D) x + 3y = 70

9
Right triangles LMN and PQR are similar, where L
and M correspond to P and Q, respectively. Angle M
has a measure of 53° . What is the measure of Which of the following equations is the most
appropriate linear model for the data shown in the
angle Q ?
scatterplot?
A) 37°
A) y = -1.9x - 10.1
B) 53°
B) y = -1.9x + 10.1
C) 127°
C) y = 1.9x - 10.1
D) 143°
D) y = 1.9x + 10.1

Unauthorized copying or reuse of any part of this page is illegal. 33 CO NTI N U E

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
12 14

z 2 + 10z - 24 = 0
What is one of the solutions to the given equation?

15
Bacteria are growing in a liquid growth medium.
There were 300,000 cells per milliliter during an
initial observation. The number of cells per milliliter
doubles every 3 hours. How many cells per milliliter
The graph of y = f (x ) is shown, where the will there be 15 hours after the initial observation?
function f is defined by f (x ) = ax 3 + bx 2 + cx + d
A) 1,500,000
and a, b, c, and d are constants. For how many
B) 2,400,000
values of x does f (x ) = 0 ?
C) 4,500,000
A) One D) 9,600,000
B) Two
C) Three
D) Four

16

Which expression is equivalent to 6x8y 2 + 12x 2y 2 ?

13 A) 6x 2y 2(2x6)
Vivian bought party hats and cupcakes for $71. Each B) 6x 2y 2(x 4)
package of party hats cost $3, and each cupcake cost
$1. If Vivian bought 10 packages of party hats, how C) 6x 2y 2(x 6 + 2)
many cupcakes did she buy?
D) 6x 2y 2(x 4 + 2)

Unauthorized copying or reuse of any part of this page is illegal. 34 CO NTI N U E

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
17 18
A neighborhood consists of a 2-hectare park and a
35-hectare residential area. The total number of
trees in the neighborhood is 3,934. The equation
2x + 35y = 3,934 represents this situation. Which of
the following is the best interpretation of x in this
context?
A) The average number of trees per hectare in
the park
B) The average number of trees per hectare in
the residential area
C) The total number of trees in the park
D) The total number of trees in the residential area

The graph shows the relationship between the

number of shares of stock from Company A, x, and
the number of shares of stock from Company B, y,
that Simone can purchase. Which equation could
represent this relationship?
A) y = 8x + 12
B) 8x + 12y = 480
C) y = 12x + 8
D) 12x + 8y = 480

19
Circle A has a radius of 3n and circle B has a radius
of 129n, where n is a positive constant. The area of
circle B is how many times the area of circle A?
A) 43
B) 86
C) 129
D) 1,849

Unauthorized copying or reuse of any part of this page is illegal. 35 CO NTI N U E

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
20 22

Data value Frequency 2π

The measure of angle R is radians. The measure
6 3 3
7 3 5π
of angle T is radians greater than the measure of
8 8 12
9 8 angle R. What is the measure of angle T, in degrees?
10 9
11 11 A) 75
12 9 B) 120
13 0
C) 195
14 6
D) 390
The frequency table summarizes the 57 data values in
a data set. What is the maximum data value in the
data set?

23
A certain town has an area of 4.36 square miles.
What is the area, in square yards, of this town?
21 (1 mile = 1,760 yards)
A circle in the xy -plane has a diameter with A) 404
endpoints (2, 4) and (2, 14). An equation of this B) 7,674
2 2 2
circle is (x − 2) + (y − 9) = r , where r is a positive C) 710,459
constant. What is the value of r ? D) 13,505,536

Unauthorized copying or reuse of any part of this page is illegal. 36 CO NTI N U E

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
24 25

x y In the xy-plane, the graph of the equation

18 130 y = −x 2 + 9x − 100 intersects the line y = c at
23 160
26 178 exactly one point. What is the value of c?
481
For line h, the table shows three values of x and their A) −
4
corresponding values of y. Line k is the result of
translating line h down 5 units in the xy -plane.
What is the x-intercept of line k? B) −100

 26  319
A) − , 0 C) −
 3  4

 9  9
B) − , 0 D) −
 2  2

 11 
C) − , 0
 3 

 17 
D) − , 0
 6 

Unauthorized copying or reuse of any part of this page is illegal. 37 CO NTI N U E

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

.................................................................................................................................................................................................................................................
26 27

2 x + 3y = 7 The perimeter of an equilateral triangle is

10x + 15y = 35 624 centimeters. The height of this triangle is
k 3 centimeters, where k is a constant. What is the
For each real number r, which of the following
points lies on the graph of each equation in the value of k?
xy-plane for the given system?

r r 
A)  + 7, − + 35
5 5 

 3r 7 
B) − + , r 
 2 2 

 2r 7 
C) r , + 
 3 3 

 3r 7 
D) r , − + 
 2 2 

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. 38

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

No Test Material On This Page

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio
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.

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.

REFERENCE

A =nr 2
C=2nr
A= l w ½
A = bh c2 = a2 + b2 Special Right Triangles

V= l wh V= nr 2 h V= 4/3πr3 V= ⅓πr h
2
1
V = 3 l 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. 40 CO NTI N U E

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

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.

½
• 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. 41 CO NTI N U E

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
1 3
Tilly earns p dollars for every w hours of work. 3x = 12
Which expression represents the amount of money, −3x + y = −6
in dollars, Tilly earns for 39w hours of work?
The solution to the given system of equations
A) 39p is (x , y ). What is the value of y ?
p A) −3
B)
39 B) 6
C) 18
C) p + 39
D) 30

D) p - 39

4
s = 40 + 3t
2
The equation gives the speed s, in miles per hour, of
For a training program, Juan rides his bike at an a certain car t seconds after it began to accelerate.
average rate of 5.7 minutes per mile. Which What is the speed, in miles per hour, of the car
function m models the number of minutes it will take 5 seconds after it began to accelerate?
Juan to ride x miles at this rate?
A) 40
x
A) m(x ) = B) 43
5.7
C) 45
B) m(x ) = x + 5.7 D) 55

C) m(x ) = x - 5.7

D) m(x ) = 5.7x

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

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
5 7

Note: Figure not drawn to scale.

For the right triangle shown, a = 4 and b = 5.

Which expression represents the value of c ?
The x-intercept of the graph shown is (x , 0). What is
A) 4 + 5 the value of x ?

B) (4)(5)

C) 4+5

D) 42 + 52

8
1
The function f is defined by f (x ) = x − 2. What
10
is the y-intercept of the graph of y = f (x) in the

6 xy-plane?
4x + 5 = 165
What is the solution to the given equation? A) (−2, 0)

B) (0, −2)

 1
C) 0, 
 10 

1 
D)  , 0
 10 

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

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
9 11

The function f is defined by f (x ) = 7x 3. In the Which expression is equivalent

xy-plane, the graph of y = g (x ) is the result of to (7x 3 + 7x) − (6x 3 − 3x) ?
shifting the graph of y = f (x ) down 2 units. Which
A) x 3 + 10x
equation defines function g ?
B) −13x 3 + 10x
7 3
A) g (x ) = x C) −13x 3 + 4x
2
D) x 3 + 4x
3
2
B) g (x ) = 7x

C) g (x ) = 7x 3 + 2

D) g (x ) = 7x 3 − 2
12

The function p is defined by p(n) = 7n3. What is the

value of n when p(n) is equal to 56?

A) 2

10 8
B)
3
x + 7 = 10
(x + 7)2 = y C) 7

Which ordered pair (x, y) is a solution to the given D) 8

system of equations?

A) (3, 100)
B) (3, 3)
C) (3, 10)
D) (3, 70)

Unauthorized copying or reuse of any part of this page is illegal. 44 CO NTI N U E

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
13 15

The equation E(t ) = 5(1.8)t gives the estimated

number of employees at a restaurant, where t is the
number of years since the restaurant opened. Which
of the following is the best interpretation of the
number 5 in this context?
A) The estimated number of employees when the
restaurant opened
Note: Figure not drawn to scale.
B) The increase in the estimated number of
In the figure shown, line c intersects parallel lines s employees each year
and t. What is the value of x ?
C) The number of years the restaurant has been
open
D) The percent increase in the estimated number of
employees each year

14
A list of 10 data values is shown.
6, 8, 16, 4, 17, 26, 8, 5, 5, 5
16
What is the mean of these data?
g (x) = x 2 + 55
What is the minimum value of the given function?
A) 0
B) 55
C) 110
D) 3,025

Unauthorized copying or reuse of any part of this page is illegal. 45 CO NTI N U E

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
17 20
Each year, the value of an investment increases by An event planner is planning a party. It costs the
0.49% of its value the previous year. Which of the event planner a onetime fee of $35 to rent the venue
following functions best models how the value of the and $10.25 per attendee. The event planner has a
investment changes over time?
budget of $200 . What is the greatest number of
A) Decreasing exponential attendees possible without exceeding the budget?
B) Decreasing linear
C) Increasing exponential
D) Increasing linear

21
If 4x − 4 = 112, what is the positive value of x − 1 ?

18
The population of Greenville increased by 7%
from 2015 to 2016. If the 2016 population is k times
the 2015 population, what is the value of k ?
A) 0.07
B) 0.7 22
C) 1.07 A cube has an edge length of 68 inches. A solid
D) 1.7 sphere with a radius of 34 inches is inside the cube,
such that the sphere touches the center of each face
of the cube. To the nearest cubic inch, what is the
volume of the space in the cube not taken up by the
sphere?
A) 149,796
B) 164,500
19 C) 190,955
D) 310,800
11
12
Which expression is equivalent to a ,

where a > 0 ?

A) 12
a132

B) 144
a132

C) 121
a132

D) 11
a132

Unauthorized copying or reuse of any part of this page is illegal. 46 CO NTI N U E

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

...............................................................................................................................................................................................................................................................................................................
23 25

What is the diameter of the circle in the xy -plane A model estimates that at the end of each year
from 2015 to 2020, the number of squirrels in a
with equation (x − 5)2 + (y − 3)2 = 16 ?
population was 150% more than the number of
A) 4 squirrels in the population at the end of the previous
B) 8 year. The model estimates that at the end of 2016,
there were 180 squirrels in the population. Which of
C) 16
the following equations represents this model, where
D) 32 n is the estimated number of squirrels in the
population t years after the end of 2015 and t ≤ 5 ?

A) n = 72(1.5)t
B) n = 72(2.5)t
C) n = 180(1.5)t

24 D) n = 180(2.5)t

For the exponential function f, the value of f (1) is k,

where k is a constant. Which of the following
equivalent forms of the function f shows the value of
k as the coefficient or the base?

A) f (x ) = 50(1.6)x+1
B) f (x ) = 80(1.6)x
C) f (x ) = 128(1.6)x−1
D) f (x ) = 204.8(1.6)x−2

Unauthorized copying or reuse of any part of this page is illegal. 47 CO NTI N U E

 PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

26 27

...............................................................................................................................................................................................................................................
5x + 7y = 1 x 2 − 34x + c = 0
ax + by = 1 In the given equation, c is a constant. The equation
has no real solutions if c > n . What is the least
In the given pair of equations, a and b are constants. possible value of n?
The graph of this pair of equations in the xy-plane is
a pair of perpendicular lines. Which of the following
pairs of equations also represents a pair of
perpendicular lines?

A) 10x + 7y = 1
ax − 2by = 1

B) 10x + 7y = 1
ax + 2by = 1

C) 10x + 7y = 1
2ax + by = 1

D) 5x − 7y = 1
ax + by = 1

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. 48

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

No Test Material On This Page

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

No Test Material On This Page

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

No Test Material On This Page

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

No Test Material On This Page

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

No Test Material On This Page

PDF Studio - PDF Editor for Mac, Windows, Linux. For Evaluation. https://www.qoppa.com/pdfstudio

The SAT.
GENERAL DIRECTIONS
• You may work on only one module at a time.
• If you finish a module before time is called, check your work on that module only.
You may NOT turn to any other module.

TIMING
Reading and Writing, Module 1: 39 minutes
Reading and Writing, Module 2: 39 minutes
10-minute break
Math, Module 1: 43 minutes
Math, Module 2: 43 minutes
The above are standard times. If you are approved for accommodations involving
additional time, you should give yourself that time when you practice.

MARKING YOUR ANSWERS

• Be sure to answer your questions properly in this book.
• Circle only one answer to 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.

USING YOUR TEST BOOK

• You may use the test book for scratch work.
• You may not fold or remove pages or portions of a page from this book,
or take the book from the testing room.

I 111111111111111
© 2022 College Board. College Board, SAT, and the acorn logo are registered trademarks of College Board. WF2P0001