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1. Which of the following is a quadratic inequality? a. x2 – 12x + 20 = 0 b. x2 –36 ≤ 0 c. 5x – 2 > 0 d. x2 -25 2. Which inequality represents the statement “A number added to twice its square is at most 6”? a. 2x2 + x < 6 b. 2x2 + x > 6 c. 2x2 + x ≤ 6 d. 2x2 + x ≥ 6 3. What is the correct factorization of 4x2 – 29x – 24? a. (4x – 3)( x + 8) b. (4x + 3)( x – 8) c. (2x – 3)(2x + 8) d. (2x + 3)(2x – 8) 4. Which of the following is NOT a quadratic inequality? a. x2 – 5x – 14 > 6 c. x2 + (x+1)2 ≥ 5 b. (x – 4)2 – x2 + 3 ≤ 0 d. x2 – 49 < 0 5. Which of the following is the correct solution set of x2 – 5x – 36 ≤ 0? a. (-4,9) b. [-4,9] c. (-∞,-4] U [9, ∞) d. (-∞,-4) U (9, ∞) 6. Which is the correct solution set of (x + 5)(x – 3) > 0? a. (-∞,-5] U [3, ∞) b. (-∞,-5) U (3, ∞) c. (-5,3) d. [-5,3] 7. The figure below shows the graph of the solution set of which inequality? a. x2 – 4x – 12 > 0 b. x2 – 4x – 12 < 0 c. x2 – 4x – 12 ≥ 0 d. x2 – 4x – 12 ≤ 0 8. Which is the correct solution set of (x – 2)(x – 2) < 0? a. (-2, 2) b. (-∞, 2) c. (2, ∞) d. ∅ 9. The area of a rectangular lot is at least 63 m2. The length of the lot is 2 meters longer than its width. If x represents the width of the rectangular lot, which mathematical sentence represents the situation? a. x( x + 2) < 63 b. x( x + 2) > 63 c. x( x + 2) ≥ 63 d. x( x + 2) ≤ 63 10. Refer to # 9. Which of the following is a possible solution to the given situation? a. w = 6 m, l = 8 m b. w = 9 m, l = 11 m c. w = 7 m, l = 9 m d. w = 7 m, l = 8
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