SAT Mock Test 2

Par 2. Math Section

This section measures your ability to apply mathematical concepts and reasoning to solve problems. Some questions ask you to select the best answer from the given choices, while others require you to enter your own response. Some questions allow calculator use and others are intended to be solved without one.

Note. The answers to the following MCQs can be viewed by clicking here. The answer key will open in a separate window.

Module 1

Part I — No Calculator

Questions 1–15

Q. 1. If 3x − 7 = 2x + 11, what is the value of x?

1. 4
2. 8
3. 18
4. 22

Q. 2. A bookstore sells notebooks for $2.40 each and pens for $1.10 each. If Maya buys 5 notebooks and 4 pens, how much does she spend in total?

1. $14.40
2. $15.20
3. $16.40
4. $17.80

Q. 3. The expression 2(3x − 5) + 4 is equivalent to:

1. 6x – 16
2. 6x – 6
3. 5x – 1
4. 6x + 14

Q. 4. A line passes through the points (2, 5) and (6, 13). What is the slope of the line?

1. 1
2. 2
3. 3
4. 4

Q. 5. If x² − 9 = 0, which of the following could be a value of x?

1. 0
2. 2
3. 3
4. 6

Q. 6. A triangle has side lengths 5, 12, and 13. Which statement is true?

1. The triangle is equilateral.
2. The triangle is obtuse.
3. The triangle is right.
4. The triangle is impossible.

Q. 7. If f(x) = 4x − 3, what is the value of f(5)?

1. 7
2. 17
3. 20
4. 23

Q. 8. The mean of 4, 8, 10, and x is 9. What is the value of x?

1. 10
2. 12
3. 14
4. 18

Q. 9. A rectangular garden measures 8 meters by 11 meters. What is its area?

1. 19 square meters
2. 38 square meters
3. 88 square meters
4. 176 square meters

Q. 10. Which expression is equivalent to (x + 3)(x − 3)?

1. x² − 6x + 9
2. x² − 9
3. x² + 9
4. x² + 6x − 9

Q. 11. If 3/5 = x/20, what is the value of x?

1. 8
2. 10
3. 12
4. 15

Q. 12. A store reduces the price of a jacket from $80 to $68. What is the percent decrease?

1. 10%
2. 12%
3. 15%
4. 18%

Q. 13. The solution to the inequality 2x + 5 < 17 is:

1. x < 6
2. x > 6
3. x < 11
4. x > 11

Q. 14. In the coordinate plane, what is the distance between (1, 2) and (1, 9)?

1. 5
2. 6
3. 7
4. 9

Q. 15. If 2a + 3b = 18 and a = 3, what is the value of b?

1. 2
2. 3
3. 4
4. 5

Part II — Calculator Allowed

Questions 16–27

Q. 16. A scientist records the population of bacteria in a culture. The population doubles every 3 hours. If the initial population is 200, which expression represents the population after t hours?

1. 200(2)^t 
2. 200(2)^(t/3)
3. 2(200)^t
4. 200 + 2t

Q. 17. The equation y = −2x + 7 is written in which form?

1. Standard form
2. Factored form
3. Slope-intercept form
4. Vertex form

Q. 18. A car travels 180 miles in 3 hours. At this rate, how far will the car travel in 5 hours?

1. 250 miles
2. 270 miles
3. 300 miles
4. 360 miles

Q. 19. If x² + 6x + 5 = 0, what are the solutions?

1. −1 and −5
2. 1 and 5
3. −6 and 5
4. 6 and −5

Q. 20. The graph of a quadratic equation crosses the x-axis at x = −2 and x = 4. Which equation could represent the graph?

1. y = (x + 2)(x − 4)
2. y = (x − 2)(x + 4)
3. y = (x + 2)(x + 4)
4. y = (x − 2)(x − 4)

Q. 21. A survey found that 48 out of 60 students prefer online homework. What percent of the students prefer online homework?

1. 60%
2. 70%
3. 80%
4. 75%

Q. 22. A line has slope −3 and passes through the point (2, 1). Which equation represents the line? 

1. y = −3x + 7
2. y = 3x – 5
3. y = −3x – 5
4. y = 3x + 7

Q. 23. What is the value of √144 + 5?

1. 12
2. 15
3. 17
4. 19

Q. 24. A company produces n chairs each week. The weekly profit is P(n) = 45n − 1200. What does 45 represent?

1. Initial loss
2. Weekly tax amount
3. Profit per chair
4. Total chairs

Q. 25. The ratio of boys to girls in a class is 5:7. If there are 35 girls, how many boys are there?

1. 20
2. 25
3. 28
4. 30

Q. 26. What is the y-intercept of the equation 4x + 2y = 12?

1. (0, 6)
2. (0, −6)
3. (6, 0)
4. (−6, 0)

Q. 27. If g(x) = x² − 4x + 1, what is the value of g(3)?

1. −2
2. −1
3. 1
4. 4

Module 2

Q. 28. The diameter of a circle is 14 centimeters. What is the circumference of the circle in terms of π?

1. 7π
2. 14π
3. 28π
4. 49π

Q. 29. A student earns scores of 82, 91, 88, and 79 on four tests. What is the average score?

1. 84
2. 85
3. 86
4. 87

Q. 30. Which equation represents exponential growth?

1. y = 3x + 2
2. y = x² + 1
3. y = 5(1.2)ˣ
4. y = 4/x

Q. 31. A rectangular prism has dimensions 4 cm, 5 cm, and 9 cm. What is its volume?

1. 18 cubic cm
2. 90 cubic cm
3. 180 cubic cm
4. 360 cubic cm

Q. 32. The table below shows values of a linear function.
x | y
1 | 4
3 | 10
5 | 16
What is the slope of the function?

1. 2
2. 3
3. 4
4. 6

Q. 33. If 3(x − 2) = 2x + 5, what is the value of x?

1. 9
2. 10
3. 11
4. 12

Q. 34. The function h(x) = |x − 4| has a minimum value of:

1. −4
2. −1
3. 0
4. 4

Q. 35. A phone battery decreases from 100% to 76%. What percent of the battery was used?

1. 12%
2. 18%
3. 24%
4. 76%

Q. 36. The solution to the system of equations is:
y = x + 2
y = 2x − 1

1. (1, 3)
2. (2, 4)
3. (3, 5)
4. (4, 6)

Q. 37. A spinner has 8 equal sections numbered 1 through 8. What is the probability of landing on an even number?

1. 1/8
2. ¼
3. ½
4. 3/4

Q. 38. Which value of x satisfies the equation 5ˣ = 125?

1. 2
2. 3
3. 4
4. 5

Q. 39. The price of a computer is increased by 8% from $750. What is the new price?

1. $780
2. $795
3. $810
4. $825

Q. 40. What is the solution to x/4 + 3 = 11?

1. 24
2. 28
3. 32
4. 44

Q. 41. In a right triangle, one leg measures 9 and the hypotenuse measures 15. What is the length of the other leg?

1. 6
2. 9
3. 12
4. 18

Q. 42. The data set 5, 7, 7, 9, 10 has a median of:

1. 7
2. 7.5
3. 8
4. 9

Q. 43. A gym charges a membership fee of $35 plus $12 per class attended. Which equation gives the total cost C for attending x classes?

1. C = 12x
2. C = 35x + 12
3. C = 12x + 35
4. C = 47x

Q. 44. The graph of y = x² − 6x + 5 has its vertex at:

1. (3, −4)
2. (3, −5)
3. (−3, 4)
4. (6, 5)