# Algebra for College Students , Eighth Edition by Jerome E. Kaufmann, Karen L. Schwitters

By Jerome E. Kaufmann, Karen L. Schwitters

Make math a snap with ALGEBRA for college kids. utilizing daily language and plenty of examples, Kaufman and Schwitters make it easier to practice algebra thoughts and ace the attempt. This quantity additionally comes with Interactive Skillbuilder CD-ROM. This application is filled with over eight hours of video guide to aid all of it make experience. Plus, you will get the strong web-based iLrn Homework application that makes your assignments a breeze. Get the grade you would like with ALGEBRA for students.

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Additional info for Algebra for College Students , Eighth Edition

Sample text

A b aϪ b 2 5 4 1 3 62. Ϫ Ϫ aϪ b 5 2 5 63. Ϫ5 ϩ (Ϫ2)(7) Ϫ (Ϫ3)(8) 25. 0 Ϭ (Ϫ14) 39. 5 7 50. aϪ b Ϭ aϪ b 6 8 64. Ϫ9 Ϫ 4(Ϫ2) ϩ (Ϫ7)(6) 65. 2 3 1 3 aϪ b Ϫ aϪ b a b 5 4 2 5 2 1 1 5 66. Ϫ a b ϩ aϪ b a b 3 4 3 4 69. 3(5 Ϫ 9) Ϫ 3(Ϫ6) 70. 7(8 Ϫ 9) ϩ (Ϫ6)(4) 71. (6 Ϫ 11)(4 Ϫ 9) 72. (7 Ϫ 12)(Ϫ3 Ϫ 2) 73. Ϫ6(Ϫ3 Ϫ 9 Ϫ 1) 74. Ϫ8(Ϫ3 Ϫ 4 Ϫ 6) 75. 56 Ϭ (Ϫ8) Ϫ (Ϫ6) Ϭ (Ϫ2) 76. Ϫ65 Ϭ 5 Ϫ (Ϫ13)(Ϫ2) ϩ (Ϫ36) Ϭ 12 77. 2 78. Ϫ2(Ϫ7 ϩ 13) ϩ 6(Ϫ3 Ϫ 2) 79. Ϫ7 Ϫ6 ϩ 24 ϩ Ϫ3 Ϫ6 Ϫ 1 Ϫ12 ϩ 20 Ϫ7 Ϫ 11 80. ϩ Ϫ4 Ϫ9 81. 6) 82. 8) 83.

That is, we add (or multiply) two numbers at a time. The associative properties apply if more than two numbers are to be added or multiplied; they are grouping properties. For example, (Ϫ8 ϩ 9) ϩ 6 ϭ Ϫ8 ϩ (9 ϩ 6); changing the grouping of the numbers does not affect the ﬁnal sum. This is also true for multiplication, which is illustrated by [(Ϫ4)(Ϫ3)](2) ϭ (Ϫ4)[(Ϫ3)(2)]. Subtraction and division are not associative operations. For example, (8 Ϫ 6) Ϫ 10 ϭ Ϫ8, but 8 Ϫ (6 Ϫ 10) ϭ 12. An example showing that division is not associative is (8 Ϭ 4) Ϭ 2 ϭ 1, but 8 Ϭ (4 Ϭ 2) ϭ 4.

Use your calculator to check your answers for Prob- lems 27–52. C For Problems 56 – 64, use your calculator to evaluate each 33. 3(Ϫ1) Ϫ 4(3) 34. 4(Ϫ2) Ϫ 3(Ϫ1) numerical expression. 35. 7(2)3 ϩ 4(Ϫ2)3 36. Ϫ4(Ϫ1)2 Ϫ 3(2)3 56. 210 57. 37 37. Ϫ3(Ϫ2)3 ϩ 4(Ϫ1)5 38. 5(Ϫ1)3 Ϫ (Ϫ3)3 58. (Ϫ2)8 59. (Ϫ2)11 39. (Ϫ3)2 Ϫ 3(Ϫ2)(5) ϩ 42 60. Ϫ49 61. Ϫ56 40. (Ϫ2)2 Ϫ 3(Ϫ2)(6) Ϫ (Ϫ5)2 62. 14)3 63. 41)4 41. 23 ϩ 3(Ϫ1)3(Ϫ2)2 Ϫ 5(Ϫ1)(2)2 64. 73)5 42. Ϫ2(3)2 Ϫ 2(Ϫ2)3 Ϫ 6(Ϫ1)5 The symbol, C , signals a problem that requires a calculator.