Mixed Exercises: Objectives 3 and 4 Perform the indicated operations. 65) (8a4 9a2 17) (15a4 3a2 3) 66) (x 15) (5x 12) 6x 3 67) (11n2 8n 21) (4n2 15n 3) (7n2 10) 7n 8 68) (15a3 8) (7a3 3a 5) (10a3 a 17) 2a3 4a 20 69) (w3 5w2 3) (6w3 2w2 w 12) (9w3 7) 70) (3r 2) (r2 5r 1) (9r3 r 6) 4w3 7w2 w 2 9r3 r2 r 3 71) ay3 3 4 y2 5y 3 7 b a1 3 y3 y2 8y 4 3 y3 1 2 b 72) a3 5 c4 c3 3 2 c2 1b ac4 6c3 1 4 7 4 y2 3y 8 5 c4 5c3 c2 6c 1b 7a4 12a2 14 1 14 7 4 c2 6c Perform the indicated operations. 73) Find the sum of p2 7 and 8p2 2p 1. 74) Add 12n 15 to 5n 4. 17n 11 75) Subtract z6 8z2 13 from 6z6 z2 9. 76) Subtract 7x2 8x 2 from 2x2 x. 9x2 7x 2 77) Subtract 9p2 8p 5 from 2p2 p 5. 7p2 9p 78) Subtract 17g3 2g 10 from 8g3 g2 g 7. 9p2 2p 8 5z6 9z2 4 9g3 g2 3g 3 Find the polynomial that represents the perimeter of each rectangle. 79) 2x 7 x 4 80) a2 3a 4 a2 5a 1 6x 6 units 4a2 4a 6 units 81) 5p2 2p 3 p 6 82) m 4 23 m 4 23 46) a7 4 y3 3 8 b a5 6 y3 7 6 y2 9 16 b 31 12 y 3 7 6 y 2 15 16 47) (2.7d3 5.6d2 7d 3.1) (1.5d3 2.1d2 4.3d 2.5) 48) (0.2t4 3.2t 4.1) 1.2d3 7.7d2 11.3d 0.6 (2.7t4 0.8t3 6.4t 3.9) 2.5t4 0.8t3 9.6t 8.0 Objective 4: Subtract Polynomials Subtract the polynomials. 49) 15w 7 13w 11 12w 4 50) 12a 8 12a 9 10a 17 51) y 6 2y 8 y 2 52) 6p 1 9p 17 3p 18 53) 3b2 8b 12 5b2 2b 7 54) 7d 2 15d 6 8d 2 3d 9 2b2 10b 19 15d2 12d 15 55) 10.7r2 1.2r 9 4.9r2 5.3r 2.8 5.8r2 6.5r 11.8 56) 11 10 m3 1 2 m 5 8 2 5 m3 1 7 m 5 6 3 2 m3 5 14 m 5 24 57) ( j 2 16j) (6j 2 7j 5) 7j 2 9j 5 58) (3p2 p 4) (4p2 p 1) 7p2 3 59) (17s5 12s2) (9s5 4s4 8s2 1) 60) (5d4 8d2 d 3) (3d4 17d3 6d2 20) 61) a 3 8 r 2 2 9 r 1 3 b a 2d4 17d3 2d2 d 23 7 16 r2 5 9 r 8s5 4s4 4s2 1 7 6 b 1 16 r 2 7 9 r 62) (3.8t5 7.5t 9.6) (1.5t5 2.9t2 1.1t 3.4) 5.3t5 2.9t2 8.6t 13.0 63) Explain, in your own words, how to subtract two polynomials. Answers may vary. 64) Do you prefer adding and subtracting polynomials vertically or horizontally? Why? Answers may vary. 5 6 10p2 2p 6 units 8 3 m 16 units R4) Were there any problems you could not do? If so, write them down or circle them, then ask your instructor for help. R1) What does it mean to evaluate a polynomial? R2) What are the differences between a binomial, a trinomial, and a polynomial? R3) Compare and contrast what you knew about adding like terms to adding and subtracting polynomials. 796 CHAPTER 10 The Rules of Exponents and Polynomials www.mhhe.com/messersmith
messersmith_power_prealgebra_1e_ch4_7_10
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