Mathematical Reasoning Practice Questions

1. What is the solution to the equation |x - 3| = 5?

x = -2 or x = 8

x = -2 or x = 2

x = 2 or x = 8

x = -8 or x = 8

2. What is the slope of a line parallel to y = -3x + 2?

-3

-1/3

1/3

3

3. What is the value of sin(90°)?

0

1/2

√3/2

1

4. If log₂(x) + log₂(y) = 10, what is the value of xy?

512

1024

2048

4096

5. If 2ˣ = 32, what is the value of x?

4

5

6

8

6. If the half-life of a radioactive substance is 10 days, what percentage of the substance remains after 30 days?

12.5%

25%

33.3%

37.5%

7. If f(x) = x³ - 6x² + 9x - 2, what is the remainder when f(x) is divided by (x - 1)?

0

1

2

3

8. What is the sum of the interior angles of a hexagon?

540°

600°

720°

900°

9. What is the solution to the equation |2x + 1| = 7?

x = -4 or x = 3

x = -4 or x = 4

x = -3 or x = 3

x = -3 or x = 4

10. If f(x) = x² - 3x + 2, what is f(f(2))?

0

2

4

6