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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