[ CSE 24 ] CIVIL SERVICE EXAMINATION REVIEWER XXIV - Numerical

Numerical
Civil Service Examination

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Instructions:
Answer the following questions carefully. After submission, the system will identify the item numbers you answered incorrectly. You can retake the test as many times as needed until you get all the answers correct.

Happy reviewing and good luck!

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Time Left: 00:00

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

A) 1 B) 2 C) -4 D) -5

2. Simplify: (x^2 - 9)/(x + 3).

A) x + 3 B) x - 3 C) x^2 + 9 D) x

3. Solve for y: 3y + 8 = 2y - 6.

A) -14 B) -2 C) 6 D) -6

4. What is the solution to the system of equations: 2x + y = 10 and x - y = 2?

A) x = 4, y = 2 B) x = 3, y = 4 C) x = 6, y = -2 D) x = 5, y = 0

5. Solve for x: (3x - 4)/2 = 5.

A) 6 B) 4 C) 8 D) 7

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

A) 2x^2 - 10x + 3 B) 2x^2 - 7x - 15 C) 2x^2 - 10x - 15 D) x^2 - 10x + 15

7. Factor: x^2 + 6x + 9.

A) (x + 9)(x - 1) B) (x + 6)(x + 1) C) (x + 3)(x + 3) D) (x - 3)(x - 3)

8. Solve for x: 5x + 12 = 3x - 8.

A) 5 B) -10 C) -2 D) 10

9. What is the slope of the line passing through points (2, 3) and (4, 7)?

A) 1 B) 2 C) 1/2 D) 4

10. Solve for x: 4x^2 = 36.

A) ±4 B) ±3 C) ±2 D) ±6

11. Simplify: (x + 2)^2.

A) x^2 + 4x + 4 B) x^2 + 2x + 2 C) x^2 + 2x + 4 D) x^2 + 4

12. Solve for x: x^2 - 7x + 10 = 0.

A) x = 2, x = 5 B) x = -2, x = 5 C) x = 3, x = 4 D) x = -3, x = 4

13. What is the value of f(x) = 3x^2 - 2x + 1 when x = 2?

A) 7 B) 10 C) 9 D) 11

14. Solve for x: 3(2x - 4) = 18.

A) 5 B) 4 C) 6 D) 7

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

A) -2x - 2 B) -2x + 1 C) 2x - 1 D) -2x - 1

16. Factor: x^2 - 5x + 6.

A) (x - 3)(x + 2) B) (x - 2)(x + 3) C) (x - 2)(x - 3) D) (x - 6)(x + 1)

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

A) 12 B) -12 C) 2 D) -2

18. Simplify: (5x^2 - 10x)/(5x).

A) x - 2 B) x^2 - 2 C) x - 10 D) 5x - 2

19. What is the solution to the inequality: 3x - 5 > 4?

A) x > 1 B) x > 3 C) x > 2 D) x > 0

20. Solve for x: 2(x - 4) = 3(x - 6).

A) 0 B) 2 C) 6 D) -6

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