SAT Mock Test 1

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

Questions

Q. 1. If (3x - 7 = 20), what is the value of (x)?

1. 7
2. 8
3. 9
4. 11

Q. 2. A store sells notebooks for $4 each and pens for $2 each. If a student buys (n) notebooks and (p) pens for a total of $34, which equation models the situation?

1. 4n + 2p = 34
2. 2n + 4p = 34
3. 4(n+p)=34
4. 2(n+p)=34

Q. 3. What is the slope of the line passing through (2,5) and (8,17)?

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

Q. 4. The expression (5a²b³ × 2ab²) is equivalent to:

1. 7a³b⁵
2. 10a²b⁵
3. 10a³b⁵
4. 10a³b⁶

Q. 5. A rectangle has a length of (3x+2) and width of (x-1). Which expression represents its area?

1. 3x² - x - 2
2. 3x² + x - 2
3. 3x² + 5x + 2
4. 6x² + x - 2

Q. 6. If f(x)=2x²-3x+1, what is f(4)?

1. 17
2. 19
3. 21
4. 25

Q. 7. The solution to the inequality (4x+5>17) is:

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

Q. 8. Which value is a solution to the equation (x²-9=0)?

1. 0
2. 3
3. 4
4. 9

Q. 9. A car travels 180 miles in 3 hours. At this rate, how many miles will it travel in 5 hours?

1. 250
2. 275
3. 300
4. 325

Q. 10. What is the y-intercept of the line y=4x-7?

1. -7
2. -4
3. 4
4. 7

Q. 11. Solve the system: 2x+y=9 ; x-y=0. What is x?

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

Q. 12. If 2ˣ = 32, what is x?

1. 4
2. 5
3. 6
4. 8

Q. 13. Bacteria doubles every 6 hours. Starting with 120 bacteria, how many after 12 hours?

1. 240
2. 360
3. 480
4. 960

Q. 14. Which expression is equivalent to (x+5)²?

1. x² + 10x + 25
2. x² + 25
3. x² + 5x + 25
4. x² + 10x + 5

Q. 15. What is 3/4 + 1/8?

1. 1/2
2. 5/8
3. 7/8
4. 1

Q. 16. Table: x=1,2,3,4 ; y=5,8,11,14. Which equation represents the relationship?

1. y=2x+3
2. y=3x+2
3. y=3x+5
4. y=x+4

Q. 17. If x+2y=18 and y=5, what is x?

1. 5
2. 6
3. 8
4. 10

Q. 18. Solve: x/3 - 4 = 2

1. 6
2. 12
3. 15
4. 18

Q. 19. Population increases from 40000 to 46000. Percent increase?

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

Q. 20. Which point lies on y=2x+1?

1. (1,1)
2. (2,5)
3. (3,5)
4. (4,7)

Q. 21. (x²-16)/(x-4) is equivalent to:

1. x-4
2. x+4
3. x²+4
4. x²-4

Q. 22. Mean of 4,7,9,10,15?

1. 8
2. 9
3. 9.5
4. 10

Q. 23. Right triangle legs 6 and 8, hypotenuse?

1. 10
2. 12
3. 14
4. 16

Q. 24. If f(x)=3x-2 and g(x)=x², find g(f(2))

1. 4
2. 16
3. 25
4. 36

Q. 25. Probability of blue marble (5 red, 7 blue, 8 green)?

1. 7/20
2. 7/15
3. 1/3
4. 8/20

Q. 26. Solve: x²-5x+6=0

1. x=2 or x=3
2. x=1 or x=6
3. x=-2 or x=-3
4. x=5 or x=6

Q. 27. y=3(2)ˣ, find y when x=3

1. 12
2. 18
3. 24
4. 27

Module 2

Q. 28. Which equation represents a line parallel to y = -2x + 5?
    A. y = 2x - 1
    B. y = -2x - 4
    C. y = -4x + 2
    D. y = x + 5

Q. 29. A circle has radius 7. What is its area?
    A. 14π
    B. 28π
    C. 49π
    D. 98π

Q. 30. If (2x + 1) / 3 = 5, what is the value of x?
    A. 5
    B. 6
    C. 7
    D. 8

Q. 31.A researcher randomly surveys 200 students and finds that 70 prefer online classes. Based on this sample, how many students out of 1,500 would be expected to prefer online classes?
    A. 450
    B. 500
    C. 525
    D. 600

Q. 32. What is the vertex of the parabola y = (x − 4)² + 1?
    A. (1, 4)
    B. (4, 1)
    C. (-4, 1)
    D. (4, -1)

Q. 33. The ratio of boys to girls in a class is 3:5. If there are 40 students total, how many are boys?
    A. 12
    B. 15
    C. 18
    D. 24

Q. 34. Which value satisfies the inequality 2x − 7 ≤ 9?
    A. 10
    B. 9
    C. 8
    D. 7

Q. 35. A cylinder has radius 3 and height 10. What is its volume?
    A. 30π
    B. 60π
    C. 90π
    D. 120π

Q. 36. The graph of a quadratic function crosses the x-axis at x = −1 and x = 5. Which equation could represent the function?
    A. y = (x + 1)(x − 5)
    B. y = (x − 1)(x + 5)
    C. y = (x + 1)(x + 5)
    D. y = (x − 1)(x − 5)

Q. 37. What is the value of √144 + 5²?
    A. 29
    B. 32
    C. 37
    D. 49

Q. 38. The median of the numbers 2, 4, 6, 8, 12, 15, and 18 is:
    A. 6
    B. 7
    C. 8
    D. 9

Q. 39. If 3x + 4y = 24, which equation expresses y in terms of x?
    A. y = 6 − (3/4)x
    B. y = 24 − 3x
    C. y = (24 − 4x) / 3
    D. y = (3/4)x − 6

Q. 40. A rectangular garden has perimeter 54 feet. If the length is 15 feet, what is the width?
    A. 9
    B. 10
    C. 12
    D. 15

Student-Produced Response Questions

Q. 41. A company’s profit (P), in dollars, is modeled by
P = 1500 + 250n
where n is the number of products sold. What is the profit when n = 18?

Q. 42. Solve for x:
5(x − 2) = 3x + 14

Q. 43. A sphere has radius 6. What is the volume of the sphere in terms of π?
(Enter the coefficient of π only.)

Q. 44. The average of five numbers is 18. Four of the numbers are 14, 17, 20, and 21. What is the fifth number?