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messersmith_power_introductory_algebra_1e_ch4_7_10

1) What is the fi rst thing you should do when you are asked to factor a polynomial? See whether you can factor out a GCF. Factor completely. 2) h2 14h 48 3) 36 v2 (6 v)(6 v) 4) 7p2 6p 16 5) 20a3b4 36a2b3 4ab2 6) k2 81 prime 7) 4z3 28z2 48z 8) 36r2 60r 25 9) n3 7n2 4n 28 10) x2 3xy 18y2 11) 81c4 d4 12) p2 2p 1 (p 1)2 13) 32w2 28w 30 2(8w 5)(2w 3) (h 8)(h 6) (7p 8)(p 2) 4ab2(5a2b2 9ab 1) 4z(z 4)(z 3) (6r 5)2 (n 7)(n 2)(n 2) (x 3y)(x 6y) (9c2 d 2 )(3c d )(3c d) Solve each equation. 14) t2 5t 36 0 {9, 4} 15) 144r r3 {0, 12, 12} 16) 49a2 16 4 4 e, f 17) (y 7)(y 5) 3 {4, 8} 7 7 8 1 18) 9x 2(3x2 4) 10x e , f 3 2 19) 20k2 52k 24 e 2 5 , 3 f Write an equation and solve. 20) Find the length and width of a rectangular ice cream sandwich if its volume is 9 in3. length 6 in.; width 2 in. x 4 x in. 34 21) Find three consecutive odd integers such that the sum of the three numbers is 110 less than the product of the larger two integers. 9, 11, 13 22) Eric and Katrina leave home to go to work. Eric drives due east while his wife drives due south. At 8:30 A.M., Katrina is 3 miles farther from home than Eric, and the distance between them is 6 miles more than Eric’s distance from home. Find Eric’s distance from his house. 9 miles Home Eric Katrina 23) A rectangular cheerleading mat has an area of 252 ft2. It is seven times longer than it is wide. Find the dimensions of the mat. length 42 ft; width 6 ft 24) An object is launched upward from the ground with an initial velocity of 200 ft/sec. The height h (in feet) of the object after t seconds is given by h 16t2 200t. a) Find the height of the object after 1 second. 184 feet b) Find the height of the object after 4 seconds. 544 feet c) When is the object 400 feet above the ground? d) How long does it take for the object to hit the ground? when t 2 1 2 sec and when t 10 sec 12 1 2 sec Chapter 7: Test *Additional answers can be found in the Answers to Exercises appendix. www.mhhe.com/messersmith CHAPTER 7 Test 449


messersmith_power_introductory_algebra_1e_ch4_7_10
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