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 students. utilizing daily language and plenty of examples, Kaufman and Schwitters enable you observe algebra options and ace the try. This quantity additionally comes with Interactive Skillbuilder CD-ROM. This application is filled with over eight hours of video guideline to aid all of it make feel. Plus, you will get the robust 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 resources for Algebra for College Students , Eighth Edition
16 Ϫ (Ϫ14) ϩ 16 ϩ 17 Ϫ 19 55. 7 1 7 1 Ϫ a2 Ϫ 3 b 8 4 8 56. Ϫ4 1 3 3 Ϫ a1 Ϫ 2 b 5 5 10 57. 16 Ϫ 18 ϩ 19 Ϫ [14 Ϫ 22 Ϫ (31 Ϫ 41)] 58. Ϫ19 Ϫ [15 Ϫ 13 Ϫ (Ϫ12 ϩ 8)] 59. [14 Ϫ (16 Ϫ 18)] Ϫ [32 Ϫ (8 Ϫ 9)] 60. [Ϫ17 Ϫ (14 Ϫ 18)] Ϫ [21 Ϫ (Ϫ6 Ϫ 5)] 61. 4 1 1 1 Ϫ a b 12 2 3 26. (Ϫ19) Ϭ 0 27. (Ϫ21) Ϭ 0 28. 0 Ϭ (Ϫ11) 29. Ϫ21 Ϫ 39 30. Ϫ23 Ϫ 38 31. 5 32. 6 33. 29 34. 14 35. 9) 36. 8) 67. (Ϫ6)(Ϫ9) ϩ (Ϫ7)(4) 37. 2) 38. 3) 68. 2 Ϫ6 40. 7 3 1 41. aϪ b ϩ aϪ b 3 4 42. Ϫ 3 3 43. Ϫ Ϫ aϪ b 2 4 5 11 44. Ϫ 8 12 45. Ϫ 2 7 Ϫ 3 9 3 4 47.
A term is an indicated product that may have any number of factors. The variables involved in a term are called literal factors, and the numerical factor is called the numerical coefﬁcient. Thus in 8xy, the x and y are literal factors, and 8 is the numerical coefﬁcient. The numerical coefﬁcient of the term Ϫ4a2bc is Ϫ4. Because 1(z) ϭ z, the numerical coefﬁcient of the term z is understood to be 1. Terms that have the same literal factors are called similar terms or like terms. Some examples of similar terms are 3x and 7xy 2x 3y2, 5x 2 14x and Ϫ9xy 9x 2y and 18x 2 and Ϫ14x 2y and Ϫ7x 3y2 3x 3y2, By the symmetric property of equality, we can write the distributive property as ab ϩ ac ϭ a(b ϩ c) Then the commutative property of multiplication can be applied to change the form to ba ϩ ca ϭ (b ϩ c)a This latter form provides the basis for simplifying algebraic expressions by combining similar terms.
The solution set should now be obvious. Step 4 Check each solution by substituting it in the original equation and verifying that the resulting numerical statement is true.