______ 24. What is the other factor of the polynomial 2 − 2 − 15, if one of the factors is ( − 5 )? A. ( + 3) C. ( − 5) B. ( − 3) D. ( + 4) ______ 25. Which of these expressions are equivalent? i. 2 ( − 4) iii. 2 2 − 8 ii. 2 − 8 iv. 2(2 2 − 4) A. i and ii C. ii and iii B. i and iii D. ii and iv ______ 26. Which of the following is NOT a difference of two squares with respect to integers? A. 2 2 − 110 C. (2 − 3)(2 + 3) B. 2 − 1) D. 25 − 49 2 2 ______ 27. Which of the following statements is TRUE? A. ( + 2)( − 2) = 2 − 2 C. ( + ) 3 = 3 + 3 2 + 3 2 + 3 B. ( − 4) 2 = 2 + 8 + 16 D. ( 2 − 2) = ( − )( − ) ______ 28. What is the total cost of ( + 2) articles at ( − 3) pesos per article? A. ( 2 + − 6) pesos C. ( 2 − + 6) pesos B. (2 − 1) pesos D. ( 2 − − 1) ______ 29. Which of the following is NOT a characteristic of a Perfect Square Trinomial? A. It is always factorable. B. The last term is negative. C. The first and the last terms are perfect squares. D. The middle term is twice the product of the square root of the first and the last terms. ______ 30. What value of will make ( 2 + 30 + 25) a Perfect Square Trinomial? A. 4 C. 9 B. 5 D. 16 ______ 31. What is the common factor of the polynomials ( 2 − − 20), ( 2 − 10 + 25), and ( 2 − 25)? A. ( − 5) C. ( − 4) B. ( + 5) D. ( + 4) ______ 32. What is the area of a rectangle whose width is (2 − 3) and the length is 5 more than the width? A. (10 − 15)2 C. (4 2 + 2 − 1)2 B. (4 2 + 2 − 6)2 D. (4 2 − 2 − 6)2 ______ 33. What is the measure of a side of a square whose area is (25 2 − 70 + 49 2 )2 ? A. (5 + 7) C. (5 2 − 7 2 ) B. (5 − 7) D. (5 2 + 7 2 ) ______ 34. A hot air balloon flies at a speed of ( + 8) miles per hour. At this rate, how long will it take to fly ( 2 + 5 − 24) miles? A. hours C. ( + 4) hours B. ( − 3) hours D. ( − 6) hours ______ 35. The hypotenuse of a right triangle is 3 more than twice the shorter leg. The longer leg is 7 longer than The shorter leg. What is the length of the hypotenuse? A. 5 C. 13 B. 12 D. 15 ​