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messersmith_power_introductory_algebra_1e_ch4_7_10

ANSWERS TO TECHNOLOGY EXERCISES 1) {1, 6} 2) e 1 2 , 5 f 3) {7, 3} 4) e 2 5 , 2 f 5) {5, 7} 6) e 4, 3 2 f Did you check all your answers? If necessary, get help before starting the exercise set! ANSWERS TO YOU TRY EXERCISES 1) a) {2, 0} b) e6, 3 2 f 2) {6, 1} 3) a) e 4 5 , 2 f b) {6, 0} c) {4, 11} d) {8, 5} 4) a) e 3 5 , 3, 7 f b) {0, 2, 2} 7.5 Exercises Do the exercises, and check your work. Objective 1: Solve a Quadratic Equation of the Form ab 0 1) What is the standard form of an equation that is quadratic in x? ax2 bx c 0 2) A quadratic equation is also called a -degree equation. second 3) Identify the following equations as linear or quadratic. a) 5x2 3x 7 0 quadratic b) 6( p 1) 0 linear c) (n 4)(n 9) 8 quadratic d) 2w 3(w 5) 4w 9 linear 4) Which of the following equations are quadratic? a) t3 6t2 4t 24 0 no b) 2(y2 7) 3y 6y 1 yes c) 3a(a 11) 0 yes d) (c 4)(2c2 5c 3) 0 no 5) Explain the zero product rule. 6) When Stephanie solves m(m 8) 0, she gets a solution set of {8}. Is this correct? Why or why not? Solve each equation. 7) (z 11)(z 4) 0 8) (b 1)(b 7) 0 {11, 4} {7, 1} 9) (2r 3)(r 10) 0 10) (5k 4)(k 9) 0 11) d(d 12) 0 12) 6w(w 2) 0 13) (3x 5)2 0 14) (c 14)2 0 {14} 15) (9h 2)(2h 1) 0 16) (6q 5)(2q 3) 0 {0, 12} {2, 0} e 5 3 f e 1 2 , 2 9 f e 5 6 , 3 2 f 17) am 1 4 b am 2 5 b 0 e 1 4 , 2 5 f 18) av 7 3 b av 4 3 b 0 e 7 3 , 4 3 f 19) n(n 4.6) 0 {0, 4.6} 20) g(g 0.7) 0 {0.7, 0} Objective 2: Solve Quadratic Equations by Factoring 21) Can we solve (k 4)(k 8) 5 by setting each factor equal to 5 like this: k 4 5 or k 8 5? Why or why not? No; the product of the factors must equal zero. 22) State two ways you could begin to solve 3x2 18x 24 0. i) Divide by 3 to get x2 6x 8 0; or ii) Factor out 3 to get 3(x2 6x 8) 0. Solve each equation. 23) p2 8p 12 0 24) c2 3c 28 0 {6, 2} {7, 4} 25) t 2 t 110 0 26) w2 17w 72 0 {10, 11} {8, 9} 27) 3a2 10a 8 0 28) 2y2 7y 5 0 29) 12z2 z 6 0 30) 8b2 18b 5 0 31) r2 60 7r 32) h2 20 12h 33) d 2 15d 54 34) h2 17h 66 35) x2 64 0 36) n2 144 0 37) 49 100u2 38) 81 4a2 39) 22k 10k2 12 40) 4m 48 24m2 41) v2 4v {0, 4} 42) x2 x {0, 1} 43) (z 3)(z 1) 15 44) (c 10)(c 1) 14 45) t(19 t) 84 46) 48 w(w 2) {12, 5} {2, 10} {6, 9} {11, 6} {8, 8} {12, 12} {6, 2} {3, 8} {7, 12} {6, 8} *Additional answers can be found in the Answers to Exercises appendix. 430 CHAPTER 7 Factoring Polynomials www.mhhe.com/messersmith


messersmith_power_introductory_algebra_1e_ch4_7_10
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