Mathematical Reasoning Practice Questions

1. What is the domain of the function f(x) = 1 / (x² - 4)?

All real numbers except 2 and -2

All real numbers except 0

All real numbers

All real numbers greater than 2 or less than -2

2. If f(x) = x³ - 3x² + 2x - 1, what is f'(2)?

1

2

3

4

3. If f(x) = x² + 3x - 2 and g(x) = 2x + 1, what is f(g(3))?

46

54

62

70

4. What is the value of cos(0°)?

0

1/2

√3/2

1

5. What is the value of cos(90°)?

0

1/2

√3/2

1

6. What is the domain of the function f(x) = √(x - 2)?

x ≥ 0

x ≥ 2

x > 0

x > 2

7. What is the sum of the interior angles of a regular octagon?

900°

1080°

1260°

1440°

8. If the radius of a circle is doubled, by what factor does its area increase?

2

3

4

8

9. If 3x + 2y = 18 and 2x - y = 3, what is the value of x?

3

4

5

6

10. What is the area of a regular hexagon with side length 4 units?

24√3 square units

32√3 square units

36√3 square units

48√3 square units