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By Lial M.L., Hornsby J.

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Eliminate any fractions by multiplying each side by the least common denominator. Step 2 Simplify each side separately. Use the distributive property to clear parentheses and combine like terms as needed. Step 3 Isolate the variable terms on one side. Use the addition property to get all terms with variables on one side of the equation and all numbers on the other. Step 4 Isolate the variable. Use the multiplication property to get an equation with just the variable (with coefficient 1) on one side.

0 C. 1 D. 1 . a AW Math Tutor Center MathXL Digital Video Tutor CD 1/Videotape 1 2. The identity element for multiplication is A. Ϫa B. 0 C. 1 D. 4. The multiplicative inverse of a, where a 0, is A. Ϫa B. 0 C. 1 D. Complete each statement. 5. The multiplication property of 0 says that the is . 1 . a of 0 and any real number An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 1 . a (b) 3x ϩ 4 Ϫ 5͑x ϩ 1͒ Ϫ 8 ෇ 3x ϩ 4 Ϫ 5x Ϫ 5 Ϫ 8 ෇ 3x Ϫ 5x ϩ 4 Ϫ 5 Ϫ 8 ෇ Ϫ2x Ϫ 9 Distributive property Commutative property Combine like terms.

He gave the solution set as ͞0. Why is this incorrect? 52. Explain the distinction between a conditional equation, an identity, and a contradiction. Decide whether each equation is conditional, an identity, or a contradiction. Give the solution set. See Example 5. 53. Ϫ2p ϩ 5p Ϫ 9 ෇ 3͑ p Ϫ 4͒ Ϫ 5 54. Ϫ6k ϩ 2k Ϫ 11 ෇ Ϫ2͑2k Ϫ 3͒ ϩ 4 55. 6x ϩ 2͑x Ϫ 2͒ ෇ 9x ϩ 4 56. Ϫ4͑x ϩ 2͒ ෇ Ϫ3͑x ϩ 5͒ Ϫ x 57. Ϫ11m ϩ 4͑m Ϫ 3͒ ϩ 6m ෇ 4m Ϫ 12 58. 3p Ϫ 5͑ p ϩ 4͒ ϩ 9 ෇ Ϫ11 ϩ 15p 59. 7͓2 Ϫ ͑3 ϩ 4r͔͒ Ϫ 2r ෇ Ϫ9 ϩ 2͑1 Ϫ 15r͒ 60.

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Algebra for College Students by Lial M.L., Hornsby J.


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