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SAT Math Practice Test

SAT Practice Test
English

SAT Math Practice Test

Question 1

A company prints custom T-shirts. There is a one-time setup fee of

plus

for each T-shirt printed. What is the total cost, in dollars, to print 30 T-shirts?
A. 210
B. 260
C. 1507
D. 80

Question 2

The height

, in meters, of a projectile

seconds after it is launched is modeled by the function

. What is the maximum height, in meters, the projectile reaches?
A. 2
B. 73.5
C. 78.4
D. 58.8

Question 3

The table below shows the results of a survey where students in Grade 11 and Grade 12 voted on a new school mascot.
​
Voted Yes
Voted No
Total
Grade 11
88
32
120
Grade 12
102
18
120
Total
190
50
240
Of the students who voted Yes, what percentage, to the nearest tenth, were in Grade 11?
A. 53.7%
B. 73.3%
C. 36.7%
D. 46.3%

Question 4

In the xy-plane, a circle has the equation

. What is the diameter of the circle?
A. 3.5
B. 7
C. 14
D. 49

Question 5

A coffee shop sells two types of coffee beans: Arabica and Robusta. Arabica beans cost

per pound and Robusta beans cost

per pound. A customer buys a total of 5 pounds of coffee for a total cost of

. How many pounds of Arabica coffee did the customer buy?
A. 2
B. 4.5
C. 3
D. 5

Question 6

The polynomial

has a factor of

. What is the value of the constant

?
A. -7
B. 14
C. 7
D. 3

Question 7

The inequality

represents an interval of values for

. What is the length of this interval?
A. 9
B. 18
C. 8
D. 7

Question 8

A population of bacteria starts with 500 cells and doubles every 3 hours. Which of the following equations gives the number of bacteria,

, after

hours?
A.


B.


C.


D.



Question 9

In the xy-plane, triangle ABC is a right triangle with the right angle at B. Point A is at (0, 6), B is at (0, 0), and C is at (8, 0). Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively. If the area of triangle DEF is 4 times the area of triangle ABC, what is the length of side DF?
A. 20
B. 10
C. 5
D. 40

Question 10

A data set consists of 5 distinct numbers: . A new data set is created by adding the number 8 to the original set. Which of the following statements correctly describes the change from the original data set to the new data set?
A. The mean will increase, and the standard deviation will increase.
B. The mean will stay the same, and the standard deviation will decrease.
C. The mean will stay the same, and the standard deviation will stay the same.
D. The mean will decrease, and the standard deviation will decrease.

Question 11

For the function

defined by

, what is the value of

?
A. 21
B. -19
C. -3
D. 5

Question 12

A person has a

gift card for a coffee shop. They buy one coffee for

and also want to buy some pastries that cost

each. Which inequality represents the number of pastries,

, that the person can buy?
A.


B.


C.


D.



Question 13

What is the solution to the equation

?
A. 65
B.


C.


D. 5

Question 14

The total cost

, in dollars, to rent a boat for

hours is given by the function

. What is the best interpretation of the number 25 in this context?
A. The additional cost for each hour the boat is rented.
B. The initial fee to rent the boat.
C. The total number of hours the boat is rented.
D. The total cost to rent the boat for one hour.

Question 15

A system of two equations is given by

and

. How many real solutions does the system have?
A. One
B. Two
C. Four
D. Zero

Question 16

In a right triangle, one angle measures

such that

. What is the value of

?
A.


B.


C.


D.



Question 17

If

, what is the value of

?
A. -5
B. 8
C. 7
D. 2

Question 18

The function

is defined by

. The graph of the function

in the xy-plane is the result of translating the graph of

2 units to the right and 5 units down. Which equation defines the function

?
A.


B.


C.


D.



Question 19

A paint mixture is created by mixing red, blue, and white paint in the ratio 3:2:1, respectively. If a total of 42 gallons of the paint mixture is needed, how many more gallons of red paint are needed than white paint?
A. 21
B. 7
C. 28
D. 14

Question 20

In the system of equations below,

is a constant. For what value of

does the system have no solution?


\


A.


B.


C.


D.



Question 21

The equation

is true for all values of

, where

and

are constants. What is the value of

?
A. 5
B. -6
C. 9
D. 19

Question 22

Which of the following expressions is equivalent to

?
A.


B.


C. 0
D.