89) An object is launched with an initial velocity of 95 ft/sec. The height h (in feet) of the object after t sec is given by h 16t 2 96t. a) From what height is the object launched? b) When does the object reach a height of 128 ft? c) How high is the object after 3 sec? d) When does the object hit the ground? 88) A car heads east from an intersection while a motorcycle travels south. After 20 min, the car is 2 mi farther from the intersection than the motorcycle. The distance between the two vehicles is 4 mi more than the motorcycle’s distance from the intersection. What is the distance between the car and the motorcycle? Intersection Car Motorcycle 1) What is the fi rst thing you should do when you are asked to factor a polynomial? Factor completely. 2) n2 11n 30 3) 16 b2 4) 5a2 13a 6 5) 56p6q6 77p4q4 7p2q3 6) y3 8z3 7) 2d3 14d2 36d 8) r2 25 9) 9h2 24h 16 10) 24xy 36x 22y 33 11) s2 3st 28t2 12) 16s4 81t4 13) 4(3p 2)2 17(3p 2) 15 14) 12b2 44b 35 15) m12 m9 Solve each equation. 16) b2 7b 12 0 17) 25k k3 18) 144m2 25 19) (c 5)(c 2) 18 20) 4q(q 5) 14 11(2 q) 21) 24y2 80 88y Write an equation, and solve. 22) Find the width and height of the storage locker pictured below if its volume is 120 ft3. 3 ft x 2 x 12 23) Find three consecutive odd integers such that the sum of the three numbers is 60 less than the square of the largest integer. 24) Cory and Isaac leave an intersection with Cory jogging north and Isaac jogging west. When Isaac is 1 mi farther from the intersection than Cory, the distance between them is 2 mi more than Cory’s distance from the intersection. How far is Cory from the intersection? 25) The length of a rectangular dog run is 4 ft more than twice its width. Find the dimensions of the run if it covers 96 ft2. 26) An object is thrown upward with an initial velocity of 68 ft/sec. The height h (in feet) of the object t sec after it is thrown is given by h 16t2 68t 60 a) How long does it take for the object to reach a height of 120 ft? b) What is the initial height of the object? c) What is the height of the object after 2 sec? d) How long does it take the object to hit the ground? Chapter 7: Test 418 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith
messersmith_power_intermediate_algebra_1e_ch4_7_10
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