Reviewer 2 - Numerical Reasoning

Numerical Reasoning 

Instructions: Choose the best answer for each question.

1. Solve for x: 2x + 5 = 18

a) 5.5

b) 6.5

c) 4.5

d) 7.5

2. If x = 3 and y = -1, what is the value of 4x - 2y?

a) 18

b) 12

c) 10

d) 14

3. Simplify: 5(x + 3) - 2x

a) 5x + 15

b) 3x + 15

c) 7x + 15

d) 5x + 3

4. Solve for x: 3x - 7 = 2x + 5

a) 10

b) 7

c) 12

d) -7

5. Expand: (x + 5)(x - 3)

a) x^2 + 2x - 15

b) x^2 - 8x + 15

c) x^2 + 8x - 15

d) x^2 - 2x - 15

6. If f(x) = 3x + 3, find f(5).

a) 5

b) 10

c) 11

d) 18

7. Solve for y in terms of x: 3y - x = 12

a) y = 4x

b) y = x/3 + 4

c) y = 3x + 4

d) y = x - 4

8. What is the slope of the line passing through the points (2, 5) and (4, 9)?

a) 2

b) 4

c) 0.5

d) -2

9. Solve: 4x^2 - 9 = 0

a) x = 3/2, -3/2

b) x = 4, -4

c) x = 9/4, -9/4

d) x = 3, -3

10. Factor completely: x^2 - 7x + 12

a) (x - 4)(x - 3)

b) (x + 4)(x - 3)

c) (x - 4)(x + 3)

d) (x + 4)(x + 3)

11. Simplify: (3x^2)(4x^3)

a) 12x^5

b) 7x^5

c) 12x^6

d) 7x^6

12. Solve for x: x/2 + 4 = 10

a) 3

b) 10

c) 12

d) 4

13. If y = 2x + 1, find x when y = 9.

a) 4

b) 3

c) 5

d) 8

14. What is the value of 2x^2 + 3x when x = 2?

a) 10

b) 14

c) 16

d) 20

15. Solve for x: 5(x - 2) = 15

a) 4

b) 5

c) 3

d) 6

16. What is the x-intercept of the equation y = 3x - 9?

a) -9

b) 3

c) 9

d) -3

17. Factor completely: x^2 - 16

a) (x + 4)(x + 4)

b) (x - 4)(x + 4)

c) (x + 8)(x - 2)

d) (x + 16)(x - 1)

18. Expand: (x + 4)^2

a) x^2 + 8x + 16

b) x^2 + 16

c) x^2 - 16

d) x^2 + 2x + 16

19. Simplify: (2x^2 - x + 1) + (3x^2 + x - 4)

a) 5x^2 - 4

b) 5x^2 - 3

c) 5x^2 - x + 3

d) 5x^2 - x - 3

20. Solve for x: 2x + 4 = 6x - 8

a) 3

b) -3

c) 4

d) -4

21. If x = 5, what is the value of x^2 - 2x + 3?

a) 8

b) 18

c) 23

d) 13

22. Solve for y: 2y + 5 = 15

a) 2.5

b) 5

c) 10

d) 20

23. What is the solution to the inequality 3x - 4 > 2x + 5?

a) x > 9

b) x < 9

c) x > -9

d) x < -9

24. Factor completely: 3x^2 - 12x

a) 3x(x - 4)

b) x(3x - 12)

c) 3(x^2 - 4)

d) (x - 3)(x - 4)

25. Simplify: (x^3)^2

a) x^5

b) x^6

c) x^4

d) x^9

26. Solve: 4(x - 3) = 2x + 6

a) x = 9

b) x = 6

c) x = 3

d) x = -3

27. If f(x) = x^2 + 2x - 3, find f(-1).

a) -6

b) 4

c) -2

d) 0

28. Which of the following is a factor of x^2 + 5x + 6?

a) (x + 3)

b) (x + 4)

c) (x + 5)

d) (x - 3)

29. Solve for x: 7x + 3 = 2x + 18

a) x = 2

b) x = 3

c) x = 4

d) x = 5

30. What is the range of the function f(x) = x^2 - 4?

a) All real numbers

b) All real numbers greater than -4

c) All real numbers less than -4

d) All real numbers except -4

Answers will be posted at the comments section. 

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