By Jerome E. Kaufmann, Karen L. Schwitters
Make math a snap with ALGEBRA for students. utilizing daily language and many examples, Kaufman and Schwitters help you practice algebra innovations and ace the try out. This quantity additionally comes with Interactive Skillbuilder CD-ROM. This application is full of over eight hours of video guide to assist all of it make feel. Plus, you will get the robust web-based iLrn Homework software that makes your assignments a breeze. Get the grade you would like with ALGEBRA for college kids.
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Additional info for Algebra for College Students , Eighth Edition
The following examples illustrate the use of the properties of real numbers to facilitate certain types of manipulations. E X A M P L E 1 Simplify [74 ϩ (Ϫ36)] ϩ 36. Solution In such a problem, it is much more advantageous to group Ϫ36 and 36. [74 ϩ (Ϫ36)] ϩ 36 ϭ 74 ϩ [(Ϫ36) ϩ 36] ϭ 74 ϩ 0 ϭ 74 E X A M P L E 2 By using the associative property for addition ■ Simplify [(Ϫ19)(25)](Ϫ4). Solution It is much easier to group 25 and Ϫ4. Thus [(Ϫ19)(25)](Ϫ4) ϭ (Ϫ19)[(25)(Ϫ4)] ϭ (Ϫ19)(Ϫ100) By using the associative property for multiplication ϭ 1900 E X A M P L E 3 ■ Simplify 17 ϩ (Ϫ14) ϩ (Ϫ18) ϩ 13 ϩ (Ϫ21) ϩ 15 ϩ (Ϫ33).
Your friend keeps getting an answer of 64 when simplifying Ϫ26. What mistake is he making, and how would you help him? 68. Write a sentence explaining in your own words how to evaluate the expression (Ϫ8)2. Also write a sentence explaining how to evaluate Ϫ82. 69. For what natural numbers n does (Ϫ1)n ϭ Ϫ1? For what natural numbers n does (Ϫ1)n ϭ 1? Explain your answers. 70. Is the set ͕0, 1͖ closed with respect to addition? Is the set ͕0, 1͖ closed with respect to multiplication? Explain your answers.
17(97) ϩ 17(3) 22. Ϫ86[49 ϩ (Ϫ48)] 50. 3(Ϫ3)3 ϩ 4(Ϫ3)2 Ϫ 5(Ϫ3) ϩ 7 44. (4 Ϫ 9)2 45. [3(Ϫ2)2 Ϫ 2(Ϫ3)2]3 1 4 1 3 1 2 1 51. 3 a b Ϫ 2 a b ϩ 5 a b Ϫ 4 a b ϩ 1 2 2 2 2 23. 14 Ϫ 12 Ϫ 21 Ϫ 14 ϩ 17 Ϫ 18 ϩ 19 Ϫ 32 24. 16 Ϫ 14 Ϫ 13 Ϫ 18 ϩ 19 ϩ 14 Ϫ 17 ϩ 21 52. 7 25. (Ϫ50)(15)(Ϫ2) Ϫ (Ϫ4)(17)(25) 26. (2)(17)(Ϫ5) Ϫ (4)(13)(Ϫ25) 2 2 2 53. Ϫ a b ϩ 5 a b Ϫ 4 3 3 For Problems 27–54, simplify each of the numerical expressions. 1 3 1 2 1 54. 4 a b ϩ 3 a b ϩ 2 a b ϩ 6 3 3 3 27. 23 Ϫ 33 28. 32 Ϫ 24 29. Ϫ52 Ϫ 42 30.
Algebra for College Students , Eighth Edition by Jerome E. Kaufmann, Karen L. Schwitters