By Jerome E. Kaufmann, Karen L. Schwitters

Kaufmann and Schwitters have outfitted this text's popularity on transparent and concise exposition, quite a few examples, and ample challenge units. This conventional textual content continuously reinforces the next universal thread: examine a ability; perform the ability to aid resolve equations; after which practice what you've gotten discovered to resolve software difficulties. this straightforward, simple procedure has helped many scholars take hold of and observe basic challenge fixing talents beneficial for destiny arithmetic classes. Algebraic rules are constructed in a logical series, and in an easy-to-read demeanour, with out over the top vocabulary and formalism. The open and uncluttered layout is helping hold scholars excited about the thoughts whereas minimizing distractions. difficulties and examples reference a vast diversity of issues, in addition to occupation parts akin to electronics, mechanics, and health and wellbeing, exhibiting scholars that arithmetic is a part of way of life. The text's source package--anchored by way of stronger WebAssign, a web homework administration tool--saves teachers time whereas additionally offering extra aid and skill-building perform for college students outdoor of sophistication.

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**Additional resources for Algebra for College Students (9th Edition)**

**Sample text**

26. (Ϫ8)a b 27. 29. 31. 33. 35. 37. 39. 41. 43. 45. 47. 49. 1 3 28. 30. 32. 34. 36. 38. 40. 42. 44. 46. 48. 50. 2 • Operations with Real Numbers 3 4 51. aϪ ba b 4 5 53. 3 1 Ϭ aϪ b 4 2 1 4 52. a b aϪ b 2 5 85. 6) 5 7 54. aϪ b Ϭ aϪ b 6 8 87. 6) For Problems 55 – 94, simplify each numerical expression. (Objective 7) 19 86. 8) 88. 6) 89. 9) 90. 5) 55. 9 Ϫ 12 Ϫ 8 ϩ 5 Ϫ 6 56. 6 Ϫ 9 ϩ 11 Ϫ 8 Ϫ 7 ϩ 14 57. Ϫ21 ϩ (Ϫ17) Ϫ 11 ϩ 15 Ϫ (Ϫ10) 91. 2 3 5 Ϫa Ϫ b 3 4 6 58. Ϫ16 Ϫ (Ϫ14) ϩ 16 ϩ 17 Ϫ 19 1 3 1 92. Ϫ Ϫ a ϩ b 2 8 4 1 1 7 59.

Simplifying numerical expressions that contain exponents creates no trouble if we keep in mind that exponents are used to indicate repeated multiplication. Let’s consider some examples. Classroom Example Simplify 7 (Ϫ1) 2 ϩ 3 (Ϫ 4) 2. EXAMPLE 7 Simplify 3(Ϫ4)2 ϩ 5(Ϫ3)2. Solution 3(Ϫ4)2 ϩ 5(Ϫ3)2 ϭ 3(16) ϩ 5(9) ϭ 48 ϩ 45 ϭ 93 Classroom Example Simplify (4 Ϫ 11) 2. EXAMPLE 8 Find the powers Simplify (2 ϩ 3)2. Solution (2 ϩ 3) 2 ϭ (5) 2 ϭ 25 Classroom Example Simplify [6 (Ϫ2) Ϫ 5 (Ϫ3)] 3. EXAMPLE 9 Add inside the parentheses before applying the exponent Square the 5 Simplify [3(Ϫ1) Ϫ 2(1)]3.

In the expression Ϫ43, the base is 4. 3 For Problems 1–14, state the property that justifies each of the statements. For example, 3 ϩ (Ϫ4) ϭ (Ϫ4) ϩ 3 because of the commutative property of addition. (Objective 1) 1. [6 ϩ (Ϫ2)] ϩ 4 ϭ 6 ϩ [(Ϫ2) ϩ 4] 2. x(3) ϭ 3(x) 20. (14)(25)(Ϫ13)(4) 21. 17(97) ϩ 17(3) 22. Ϫ86[49 ϩ (Ϫ48)] 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 3. 42 ϩ (Ϫ17) ϭ Ϫ17 ϩ 42 25. (Ϫ50)(15)(Ϫ2) Ϫ (Ϫ4)(17)(25) 4. 1(x) ϭ x 26. (2)(17)(Ϫ5) Ϫ (4)(13)(Ϫ25) 5.