63) (3p 4)(3p 1) 9p2 15p 4 64) (3n 4)(2n 7) 6n2 13n 28 65) (x2 5x 12)(10x4 3x2 6) 10x6 50x5 123x4 15x3 42x2 30x 72 66) (3m2 4m 2)(m2 m 5) 3m4 m3 17m2 22m 10 67) (12 c)(12 c) 144 c2 68) (4k 3)(7 5k) 20k2 43k 21 69) (2r2 1)(r3 6r2 4) 2r5 12r4 r3 14r2 4 70) Write an expression for the a) area and b) perimeter of the rectangle. 2n 11 n 2 a) 2n2 7n 22 sq units b) 6n 18 units (10.4–10.5) Mixed Exercises Perform the operations and simplify. 71) 18c3 7c2 11c 2 2c2 19c2 1 20c3 12c2 11c 1 72) (12 7w)(12 7w) 144 49w2 73) (5p 9)(2p2 4p 7) 10p3 38p2 p 63 74) (7k2 k 9) (4k2 8k 3) 11k2 7k 6 75) 7d 3(5d 2 12d 8) 35d5 84d4 56d3 76) (8z2 9)(2z2 5z 4) 16z4 40z3 14z2 45z 36 77) (2m3 9m2) (6m3 12m2 7) 4m3 3m2 7 78) 12r2(7r 3) 84r3 36r2 79) (x 8)(6x 7) 6x2 41x 56 80) (10a3 a2) (2a3 5a2) 8a3 6a2 Evaluate. 1) 53 1 125 2) (4)0 (7)0 0 3) 62 31 13 36 4) 25 92 32 81 5) 710 78 1 49 Simplify using the rules of exponents. Assume that the variables do not equal zero. Write the answer using only positive exponents. 6) (7p8)(6p3) 42p11 7) n2 n6 1 n8 8) (2x6y)4 16x24y4 9) k7 k5 k4 k2 10) a r 10 3 r3 b 1000 11) Does 62 (6)2? Explain your answer. 12) Is 14.38 105 in scientifi c notation? Explain your answer. No. 62 36 but (6)2 36. No. There are two numbers to the left of the decimal point. Write each number in scientific notation. 13) 0.0000872 8.72 105 14) 61,000,000 6.1 107 Write each number without an exponent. 15) 7.03 104 70,300 16) 5 103 0.005 17) An electron has a mass of 9.1 1028 g. What is the mass of 2,000,000,000 electrons? Write the answer in scientifi c notation. 1.82 1018 18) For the polynomial 4t3 t 9, a) determine whether it is a monomial, binomial, or trinomial. trinomial b) identify each term and the degree and coeffi cient of each term. c) determine the degree of the polynomial. 3 Perform the indicated operations. 19) (9y4 2y3 5y 6) (3y4 7y3 y 10) 6y4 9y3 4y 4 20) 8n2(3n 7) 24n3 56n2 21) (2c 5)(c 4) 2c2 13c 20 22) (w2 3w 8) (4w3 8w2 3w 6) 4w3 7w2 2 23) (4h 3)(2h2 5h 9) 8h3 14h2 51h 27 24) Subtract 7p3 4p 6 from p3 9p 1. 6p3 13p 7 25) 2x 2 1 3x 1 8 Write an expression for the a) area of the rectangle. 6x2 13x 8 sq units b) perimeter of the rectangle. 10x 14 units Chapter 10: Test *Additional answers can be found in the Answers to Exercises appendix. www.mhhe.com/messersmith CHAPTER 10 Test 807
messersmith_power_prealgebra_1e_ch4_7_10
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