By Jerome E. Kaufmann, Karen L. Schwitters

Make math a snap with ALGEBRA for college kids. utilizing daily language and many examples, Kaufman and Schwitters assist you practice algebra options and ace the try. This quantity additionally comes with Interactive Skillbuilder CD-ROM. This software is jam-packed with over eight hours of video guideline 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 students.

**Read Online or Download Algebra for College Students , Eighth Edition PDF**

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**Additional info for Algebra for College Students , Eighth Edition**

**Example text**

3 2 3 29 4 ■ ■ ■ THOUGHTS INTO WORDS 65. State, in your own words, the multiplication property of negative one. 66. Explain how the associative and commutative properties can help simplify [(25)(97)](Ϫ4). 67. 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?

2. The quotient of a positive real number and a negative real number or of a negative real number and a positive real number is the opposite of the quotient of their absolute values. 3. The quotient of zero and any nonzero real number is zero. 4. The quotient of any nonzero real number and zero is undeﬁned. The following examples illustrate this description of division. Again, for practical purposes, the key is to remember whether the quotient is positive or negative. 2 Operations with Real Numbers 19 Now let’s simplify some numerical expressions that involve the four basic operations with real numbers.

Five less than a number x ϭ 5 and y ϭ Ϫ1 68. A number subtracted from 75 44. x 2y3 Ϫ 2xy ϩ x 2y2, x ϭ Ϫ1 and y ϭ Ϫ3 45. 7a Ϫ 2b Ϫ 9a ϩ 3b, a ϭ 4 and b ϭ Ϫ6 69. The product of a number and 50 46. Ϫ4x ϩ 9y Ϫ 3x Ϫ y, x ϭ Ϫ4 and y ϭ 7 70. One-third of a number 47. (x Ϫ y)2, x ϭ 5 and y ϭ Ϫ3 71. Four less than one-half of a number 48. 2(a ϩ b)2, a ϭ 6 and b ϭ Ϫ1 72. Seven more than three times a number 49. Ϫ2a Ϫ 3a ϩ 7b Ϫ b, 73. The quotient of a number and 8 a ϭ Ϫ10 and b ϭ 9 50. 3(x Ϫ 2) Ϫ 4(x ϩ 3), x ϭ Ϫ2 74.