By Charles P McKeague

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**Extra resources for Intermediate algebra with trigonometry**

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Chapter 1 Summary and Review The number(s) in brackets next to each heading indicates the section(s) in which that topic is discussed. SYMBOLS a=b a -:/; b a**b a )> b a <{ b a+b a-b a·b a/b I. 1) A set is any well-defined collection of objects or things. The union of two sets A and B, written A U B, is all the elements that are in A or are in B, or are in both A and B. The intersection of two sets A and B, written A n B, is the set consisting of all elements common to both A and B. Set A is a subset of set B, written A C B, if all elements in set A are also in set B. **

5x 27. 8y 29. 6a + 8x + 2y + 6y + a + 2a 26. 7x + 4x 28. 9y + 3y + 4y 30. a + 3a + 4a 29 Use the distributive property to add the following fractions. 31. t+t+ � 32 · 5 33. _i_ + y'3 34. v'3 t+t+t _I_ v's + -8v's 36. l + 2_ y y x x I -+38. i + 1- + l. 37. -3 +5 x x x a a a U se the commutative, associative, and distributive properties to simplify the following. 40. 5x + I + 7x + 8 39. 3x +5 +4x + 2 42. 5x + 2 + x + 10 41. x + 3 +4x + 9 a 8 +a 44. 6a +4 +a +4 43. 5 a+7 +a 45. 3y + y +5 + 2y + I 46.

2(x - 4) 5(y - 3) 1(x - 4) 4(a - 2 + b) 5(x -y - 4) 52. - 2x -4x - 9x 5y - y 9a - 8a 3x - 8x -4a - 9a + 2a -3x - x + 6x 64. 66. Combine similar terms. 61. 5x 63. 65. 67. 69. 5x 71. 73. - 58. 60. 62. 68. 70. 72. 74. 1(x - 8) 6(y - 1) 3(x - 7) 5(a - 5 + b) 1(a - b 2) - 8x - 2x -7x - lOx 3y -y 3a - 2a 1x - 3x - 5x - 1a - 8a + a -4x + x - 1x Chapter 36 I Buie Properties and Dellnitlons Simplify each expression. 76. 7x - 4 - 5x + S 75. 3x - 5 + 4x 78. 7 x - 4x + 3 - 2x 77. Sx - 3x + 7 - 4x 80. 5a + 5 - a - 6a 79.