By Jerome E. Kaufmann, Karen L. Schwitters

Kaufmann and Schwitters have equipped this text's recognition 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 observe what you could have realized to resolve program difficulties. this straightforward, effortless technique has helped many scholars snatch and follow basic challenge fixing abilities helpful for destiny arithmetic classes. Algebraic rules are built in a logical series, and in an easy-to-read demeanour, with no over the top vocabulary and formalism. The open and uncluttered layout is helping continue scholars involved in the options whereas minimizing distractions. difficulties and examples reference a huge variety of themes, in addition to occupation components akin to electronics, mechanics, and healthiness, displaying scholars that arithmetic is a part of lifestyle. The text's source package--anchored by means of stronger WebAssign, a web homework administration tool--saves teachers time whereas additionally offering extra support and skill-building perform for college kids outdoors of sophistication.

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**Example text**

We call the variables in a term literal factors, and we call the numerical factor the numerical coefficient. Thus in 7xy, the x and y are literal factors, and 7 is the numerical coefficient. The numerical coefficient of the term Ϫ4abc is Ϫ4. Since z ϭ 1(z), the numerical coefficient of the term z is 1. Terms that have the same literal factors are called like terms or similar terms. Some examples of similar terms are 3x and 9x 14abc and 29abc 7xy and Ϫ15xy 4z, 9z, and Ϫ14z We can simplify algebraic expressions that contain similar terms by using a form of the distributive property.

2)(Ϫ71)(50) 19. (4) (Ϫ16)(Ϫ9)(Ϫ25) 20. (Ϫ2)(18)(Ϫ12)(Ϫ5) 21. 37(Ϫ42 Ϫ58) 22. Ϫ46(Ϫ73 Ϫ 27) 23. 59(36) ϩ 59(64) 24. Ϫ49(72) Ϫ 49(28) 25. 15(Ϫ14) ϩ 16(Ϫ8) 26. Ϫ9(14) Ϫ 7(Ϫ16) 27. 17 ϩ (Ϫ18) Ϫ 19 Ϫ 14 ϩ 13 Ϫ 17 57. 3(a Ϫ 1) Ϫ 2(a Ϫ 6) ϩ 4(a ϩ 5) 58. Ϫ4(a ϩ 2) ϩ 6(a ϩ 8) Ϫ 3(a Ϫ 6) 59. Ϫ2(m ϩ 3) Ϫ 3(m Ϫ 1) ϩ 8(m ϩ 4) 60. 5(m Ϫ 10) ϩ 6(m Ϫ 11) Ϫ 9(m Ϫ 12) 61. (y ϩ 3) Ϫ (y Ϫ 2) Ϫ (y ϩ 6) Ϫ 7(y Ϫ 1) 62. Ϫ(y Ϫ 2) Ϫ (y ϩ 4) Ϫ (y ϩ 7) Ϫ 2(y ϩ 3) For Problems 63–80, simplify each algebraic expression and then evaluate the resulting expression for the given values of the variables.

8) (Ϫ7) ϩ (Ϫ6) Ϫ (9)(12) 19. Express 360 as a product of prime factors. 7. 6(Ϫ4) Ϫ (Ϫ8)(Ϫ5 Ϫ16 8. Ϫ14 ϩ 23 Ϫ 17 Ϫ 19 ϩ 26 9. (Ϫ14) (4) Ϭ 4 ϩ (Ϫ6) 20. Find the greatest common factor of 36, 60, and 84. 21. Find the least common multiple of 9 and 24. 22. State the property of integers demonstrated by [Ϫ3 ϩ (Ϫ4)] ϩ (Ϫ6) ϭ Ϫ3 ϩ [(Ϫ4) ϩ (Ϫ6)]. 10. 6(Ϫ9) Ϫ (Ϫ8) Ϫ (Ϫ7)(4) ϩ 11 23. State the property of integers demonstrated by 8(25 ϩ 37) ϭ 8(25) ϩ 8(37). 11. It was reported on the 5 o’clock news that the current temperature was 7°F.