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SAT Math Practice Test

SAT Practice Test
Grade 12
English

SAT Math Practice Test

Question 1

A plumber charges a flat fee of $50 for a service call plus an hourly rate of $75. If a customer's total bill was $312.50, how many hours did the plumber work?
A. 3.5
B. 4.2
C. 4.0
D. 3.0

Question 2

For the function

defined by

, what is the value of

?
A. -3
B. 21
C. 17
D. -11

Question 3

A survey asked 200 students to choose their favorite type of movie. The results are shown in the table below.
Movie Type
Number of Students
Comedy
60
Action
50
Drama
45
Sci-Fi
30
Other
15
What percentage of students chose Action as their favorite movie type?
A. 30%
B. 20%
C. 25%
D. 50%

Question 4

A circle in the

-plane has its center at

and a radius of 4. Which of the following is an equation of the circle?
A.

B.

C.

D.


Question 5

Given the system of equations below, what is the value of

?


A. 9
B. 3
C. 7
D. 5

Question 6

If

, what is the value of

?
A. 3
B. 2
C. 5
D. 4

Question 7

A company manufactures smartphones. The cost,

, in dollars, to produce

smartphones is given by the equation

. The company sells each smartphone for $120. The company wants to make a profit of at least $25,000. What is the minimum number of smartphones they must sell to achieve this goal?
A. 1000
B. 625
C. 250
D. 375

Question 8

A car travels at a constant speed of 50 miles per hour. How many minutes will it take for the car to travel 35 miles?
A. 42
B. 70
C. 35
D. 50

Question 9

In a right triangle, one angle measures

such that

. What is the value of

?
A.

B.

C.

D.


Question 10

The equation

, where

is a constant, has exactly one real solution. What is the value of

?
A. 8
B. 4
C. -4
D. 2

Question 11

In the system of linear equations below,

is a constant.


If the system has infinitely many solutions, what is the value of

?
A. 15
B. 5/3
C. 7
D. 10

Question 12

If the polynomial

is divided by

, the remainder is 4. What is the value of

?
A. 7
B. -12
C. 10
D. -5

Question 13

The height

, in inches, of a plant after

weeks is modeled by the equation

. What is the best interpretation of the number 1.5 in this context?
A. The plant reaches a maximum height of 1.5 inches.
B. The initial height of the plant was 1.5 inches.
C. The plant grows by 1.5 inches each week.
D. The height of the plant after 1 week is 1.5 inches.

Question 14

The graph of the function

is a parabola in the

-plane. The graph of the function

is obtained by shifting the graph of

three units to the left and two units down. What is the vertex of the graph of

?
A.

B.

C.

D.


Question 15

A list of 10 distinct integers has a median of 15. A new list is created by adding the integer 25 to the original list. Which of the following must be true about the median of the new list of 11 integers?
A. The median of the new list is greater than 15.
B. The median of the new list is 20.
C. The median of the new list is 15.
D. The median of the new list is 25.

Question 16

Triangle ABC is similar to triangle DEF. The length of side AB is 3 and the length of the corresponding side DE is 9. If the area of triangle ABC is 7 square units, what is the area of triangle DEF in square units?
A. 49
B. 63
C. 189
D. 21

Question 17

What is the sum of all solutions to the equation

?
A. 11
B. -3
C. 8
D. 5

Question 18

Which of the following is equivalent to

for all positive values of

and

?
A.

B.

C.

D.


Question 19

The number of bacteria in a petri dish can be modeled by the function

, where

is the time in hours. Which of the following statements is the best interpretation of the number 3 in the equation?
A. The number of bacteria triples every hour.
B. The number of bacteria increases by 3 every hour.
C. The number of bacteria doubles every 3 hours.
D. The initial number of bacteria is 3.

Question 20

What is the solution to the equation

?
A.

B.

C.

D.


Question 21

If

, what is the value of

?
A. 7
B. -3
C. 3
D. 9

Question 22

Which of the following is an equivalent form of the expression

?
A.

B.

C.

D.