Beginning and Intermediate Algebra: An Integrated Approach by R. David Gustafson, Peter D. Frisk

By R. David Gustafson, Peter D. Frisk

Get the grade you will want in algebra with Gustafson and Frisk's starting AND INTERMEDIATE ALGEBRA! Written with you in brain, the authors supply transparent, no-nonsense reasons to help you research tricky suggestions very easily. organize for checks with quite a few assets situated on-line and through the textual content akin to on-line tutoring, bankruptcy Summaries, Self-Checks, preparing workouts, and Vocabulary and suggestion difficulties. Use this article, and you can study strong mathematical abilities that can assist you either in destiny mathematical classes and in genuine lifestyles!

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Extra resources for Beginning and Intermediate Algebra: An Integrated Approach

Sample text

49. 51. 53. 55. 57. 59. 61. 63. 65. 67. 69. 71. 73. 75. 77. 4 6 ؒ 3 5 5 18 ؒ 12 5 17 3 ؒ 34 6 5 12 ؒ 6 10 ؒ 14 21 3 2 Ϭ 5 3 3 6 Ϭ 4 5 2 8 Ϭ 13 13 21 3 Ϭ 35 14 3 6Ϭ 14 42 Ϭ7 30 3 3 ϩ 5 5 4 3 Ϫ 13 13 1 1 ϩ 6 24 3 2 ϩ 5 3 9 5 Ϫ 4 6 7 1 Ϫ 10 14 3 3Ϫ 4 17 ϩ4 3 3 3 4 ϩ 5 5 1 2 79. 3 Ϫ 1 3 3 40. 42. 44. 46. 48. 50. 52. 54. 56. 58. 60. 62. 64. 66. 68. 70. 72. 74. 76. 78. 80. 7 6 ؒ 8 15 5 12 ؒ 4 10 21 3 ؒ 14 6 7 9ؒ 12 5 ؒ 16 24 4 3 Ϭ 5 7 3 15 Ϭ 8 28 4 20 Ϭ 7 21 23 46 Ϭ 25 5 46 23 Ϭ 5 34 Ϭ 17 8 4 2 Ϫ 7 7 2 9 ϩ 11 11 17 2 Ϫ 25 5 4 7 ϩ 3 2 2 7 ϩ 15 9 7 3 ϩ 25 10 21 5ϩ 5 13 Ϫ1 9 3 1 2 ϩ 8 8 1 2 5 Ϫ3 7 7 25 26 Chapter 1 Real Numbers and Their Basic Properties 3 1 81.

23. To add fractions with a common denominator, add the and keep the common . 24. To subtract fractions with a common , subtract the numerators and keep the common denominator. 2 2 25. 75 means 75 . 3 3 26. 75 is an example of a decimal. 27. 327 is an example of a decimal. 28. A is the numerator of a fraction whose denominator is 100. PRACTICE Write each fraction in lowest terms. If the fraction is already in lowest terms, so indicate. 29. 31. 33. 35. 6 12 15 20 24 18 72 64 30. 32. 34. 36. 3 9 22 77 35 14 26 21 Perform each operation.

3 5 3 ؒ 14 5ؒ5 ϩ ϭ ϩ 10 28 10 ؒ 14 28 ؒ 5 42 25 ϭ ϩ 140 140 42 ϩ 25 ϭ 140 67 ϭ 140 Write each fraction as a fraction with a denominator of 140. Add the numerators and keep the denominator. 67 Since 67 is a prime number, it has no common factor with 140. Thus, 140 is in lowest terms. Self Check Add: 3 5 ϩ . 8 12 ❚ Subtracting Fractions Subtracting Fractions with the Same Denominator To subtract fractions with the same denominator, we subtract their numerators and keep their common denominator. In symbols, if a, b, and d are real numbers, a b aϪb Ϫ ϭ d d d (d 0) For example, 7 2 7Ϫ2 5 Ϫ ϭ ϭ 9 9 9 9 To subtract fractions with unlike denominators, we write them as equivalent fractions with a common denominator.