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Test 3 Review 3 5. Divide 3x – 5 by x – 1. Answer: 2 3x + 3x + 3 – 2/x – 1 2. The general expression for consecutive multiples of six is 6N, 6(N + 1), 6(N + 2), etc. Find three consecutive multiples of six such that 4 times the first exceeds twice the third by 12. Answer: 18, 24, 30 6. Factor 2 30xy – 72y – 3x y Answer: -3y(x – 6)(x – 4) 9. Simplify 2 3 pm – 3p m pm Answer: 2 1 – 3pm 4. For every 210 high school students, there are 5880 people living in the community. If the community has 1325 high school students, how many people live in the community? Answer: 37,100 people 7. Factor 2 8xa + 42a – 2ax Answer: -2a(x – 7)(x + 3) 10. Simplify 3 4√3 Answer: √3/4 13. Add 3x 2 x + 3x – 10 − 4 x+5 Answer: 8–x (x + 5)(x – 2) 11. Simplify 3√27 – 4√108 – 2√75 Answer: -25√3 8. Factor 2 2 2 45xyz + 5x yz + 100yz 2 Answer: 2 5yz (x + 5)(x + 4) 12. Simplify a b x+y b Answer: a/x + y 1. Karen left her house heading east, and her sister left two hours later heading west at a rate 5 mph faster than Karen. Six hours after Karen left, she and her sister were 600 miles apart. How fast was Karen moving? Answer: 58 mph 15. Find the equations of lines a and b. Answer: a) y = -3x + 1 b) y = -4 14. Solve this system by graphing, and then get an exact solution by using either substitution or elimination. y = 2/3x + 3 3x – 3y = -6 Answer: (3, 5) 16. Find R, S and T. Answer: R = 11√514/17 ≈14.67 S = 165/17 ≈ 9.71 T = 6√514/17 ≈ 8.00 18. Solve 0 0 -2x - 4 – x + x + 3 = 3 3 5 Answer: -47/22 3. The number of blooming pansies increased by 160 percent overnight. If they numbered 117 in the morning, how many pansies had bloomed before nightfall? Answer: 45 pansies 17. Solve 3x - 2x – 3 = 6 4 3 Answer: 60 20. The base of a 6 inch tall right cylinder is shown. Find the lateral surface area of the cylinder. Dimensions are in inches. Answer: 2 (4π + 5.7)(6) ≈ 109.56 in. 19. Evaluate 2 3 a – b (a – b) a = 1/3 b = -1/2 Answer: 31/144