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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​