By Margaret L. Lial
The Lial sequence has helped millions of scholars achieve developmental arithmetic via its pleasant writing kind, a number of sensible examples, huge challenge units, and entire vitamins package deal. in accordance with its confirmed tune checklist, this revision incorporates a new open layout, extra workouts and functions, and extra positive factors to aid either scholars and teachers prevail.
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Additional resources for Algebra for College Students (5th Edition) (MathXL Tutorials on CD Series)
12͑x ϩ 5000͒ 940, we multiply each side by a power of 10 so that all coefficients are integers. What is the smallest power of 10 that will accomplish this goal? 33. Suppose that in solving the equation 1 1 1 x ϩ x x, 3 2 6 you begin by multiplying each side by 12, rather than the least common denominator, 6. Would you get the correct solution anyway? Explain. 34. What is the final line in the check for the solution of the equation in Example 4? Solve each equation. See Examples 3 and 4. 35.
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. 4͓6 Ϫ ͑1 ϩ 2m͔͒ ϩ 10m 2͑10 Ϫ 3m͒ ϩ 8m Decide whether each pair of equations is equivalent. If not equivalent, explain why. 61. 5x 10 and 5x 10 xϩ2 xϩ2 62. x ϩ 1 9 and 63. x Ϫ3 and x Ϫ3 xϩ3 xϩ3 64. m 1 and 65. k 4 and k 2 16 66. p2 36 and xϩ1 9 8 8 2 mϩ1 mϪ1 mϪ1 p6 An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc.
A) 10 Ϭ 5 ϩ 2͉ 3 Ϫ 4 ͉ Evaluate the absolute value first. 10 Ϭ 5 ϩ 2͉ 3 Ϫ 4 ͉ 10 Ϭ 5 ϩ 2͉ Ϫ1 ͉ Subtract inside the absolute value bars. 10 Ϭ 5 ϩ 2 и 1 2ϩ2 4 Take the absolute value. Divide and multiply. Add. (b) 4 и 32 ϩ 7 Ϫ ͑2 ϩ 8͒ Work inside the parentheses first. 4 и 32 ϩ 7 Ϫ ͑2 ϩ 8͒ 4 и 32 ϩ 7 Ϫ 10 4 и 9 ϩ 7 Ϫ 10 36 ϩ 7 Ϫ 10 43 Ϫ 10 33 (c) Add inside parentheses. Evaluate powers. Multiply. Add. Subtract. 1 и 4 ϩ ͑6 Ϭ 3 Ϫ 7͒ 2 Work inside the parentheses, dividing before subtracting.
Algebra for College Students (5th Edition) (MathXL Tutorials on CD Series) by Margaret L. Lial