10. Which of the following rational algebraic equations is transformable into quadratic equation? ????+1 ????+2 A. 2 − 4 = 7 2 3 B. ???? + ????+1 = 5 2????−1 1 3???? C. +4= 3 2 3 4 3 D. ????−2 + ????+2 = ???? 1 2 11. Which of these are the values of x in the equation 2???? 3 + ???? 3 = 8? A. x = 8, x = -64 C. x = 4, x = 16 B. x = -8, x = 64 D. x = -4, x = 16 12. Which of the following mathematical statements is a quadratic inequality? A. 2x2 – 2x – 3 = 0 C. 2t2 + 4t − 1 ≥ 0 B. 5h + 1 < D. – 2x – 3 > 0 13. Which of these is the solution set of the quadratic inequality x 2 – 3x – 4 < 0? A. [-1, 4] C. (-∞, -1) ∪ (4, ∞) B. (-1, 4) D. (-∞, -1] ∪ [4, ∞) 14. Which of the following are the critical values of the quadratic inequality 6x2 – 11x + 3 > 0? A. 1/3 and 3/2 C. 1/3 and -3/2 B. -1/3 and 3/2 D. -1/3 and -3/2 15. An open box is to be formed out a rectangular piece of cardboard whose length is 16 cm longer than its width. To form the box, a square of side 5 cm will be removed from each corner of the cardboard. Then the edges of the remaining cardboard will be turned up. If the box is to hold at most 2100 cm3, what mathematical statement would represent the given situation? A. w2 + 4w ≤ 480 C. w2 + 4w ≥ 480 B. w2 - 4w ≤ 480 D. w2 - 4w ≥ 480 16. The length of a wall is 17m more than its width. If the area of the wall is less than 60 m 2 , which of the following could be its length? A. 3m C. 18m B. 16m D. 20m 17. Which of the following real-life situations illustrates a quadratic function? i. throwing a ball ii. diving from a platform iii. hitting a golf ball A. i and ii only B. ii and iii only C. i and iii only D. i, ii, iii 18. Which is the equivalent of the function y = -2x2 + 12x – 17 in the form y = a(x-h)2 + k? A. y = 2(x – 3)2 - 1 B. y = 2(x – 3)2 + 1 C. y = -2(x – 3)2 - 1 D. y = -2(x – 3)2 + 1 19. Which is the equivalent of y = 3(x+1)2 -7 when expressed in the form y = ax2 + bx + c? A. y = 3x2 + 6x + 4 B. y = 3x2 - 6x + 4 C. y = 3x2 + 6x – 4 D. y = 3x2 - 6x – 4 20. Which of the following functions has a parabola that opens downward? A. y = 3x – x2 - 4 B. y = x + 2x2 + 1 C. y = x2 - 2 D. y = 3 + x2 21. Which function has a parabola with the widest opening? A. y = ¼ x2 B. y =1/2x2 C. y = x2 D. y = 2x2 2
22. Which is the range of the function y = -3x2 - 6x +1? A. y / y 4 B. y / y 4 C. y / y 4 D. y / y 4 23. Which is the equation of the parabola with vertex at (-2, 0) and having the same shape and opening as the parabola defined by f(x) = 4(x - 2)2 - 1? A. f(x) = -4(x - 2)2 B. f(x) = 4x2 - 2 C. y = 4(x + 2)2 D. y = 4(x - 2)2 - 4 24. The graph of y = x2 is shifted 3 units upward and 7 units to the right. Which of these would be its equation? A. y = (x - 7)2 + 3 B. y = (x - 7)2 - 3 C. y = (x - 3)2 + 7 D. y = (x + 3)2 -7 25. What is the new function if the graph of y = -3(x + 7)2 -8 is moved 10 units downward and 3 units to the left? A. y = -3(x - 10)2 - 18 B. y = -3(x +10)2 - 18 C. y = -3(x + 4)2 - 2 D. y = -3(x - 4)2 + 2 26.Which of these is the equation of the quadratic function whose zeroes are 3 greater than the zeroes of y = x2 - 4x + 2 ? A. y = x2 + 10x + 23 B. y = x2 - 10x - 23 C. y = x2 + 10x - 23 D. y = x2 - 10x + 23 27. Which function describes the table of values below? x 1 2 3 4 5 y 2 5 10 17 26 A. y = x2 + 1 B. y = 2x2 + 1 C. y = 2x2 - 1 D. y = 2x2 + 3 28.The sum of two numbers is 22, and their product is 120. What equation can be used to find the numbers? A. x2 - 22x + 120 = 0 B. x2 - 22x - 120 = 0 C. x2 + 22x + 120 = 0 D. -x2 - 22x - 120 = 0 29. A projectile was propelled upward. Its distance D, in ft.,after t seconds was given by the function D(t)= -16t2 + 96t. What is the maximum height reached by the projectile? A. 24 ft. B. 96 ft C. 144 ft. D. 154 ft 30. Mang Juan has a 200 m of fencing wire to set-up around a rectangular lot beside a river for his ducks and geese. If a 20 m opening on the side of the river is left, how many meters of wire will be used to fence the side of the river? A. 40m B. 45m C. 50m D. 55 m 3
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