By Margaret L. Lial

The Lial sequence has helped hundreds of thousands of scholars achieve developmental arithmetic via its pleasant writing type, various life like examples, vast challenge units, and entire vitamins package deal. in accordance with its confirmed song checklist, this revision incorporates a new open layout, extra routines and purposes, and extra positive factors to assist either scholars and teachers be triumphant.

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Extra resources for Algebra for College Students (5th Edition) (MathXL Tutorials on CD Series)

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Decide whether it is a conditional equation, an identity, or a contradiction. (a) 5x Ϫ 9 ෇ 4͑x Ϫ 3͒ An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 1 5x Ϫ 9 ෇ 4x Ϫ 12 5x Ϫ 9 Ϫ 4x ෇ 4x Ϫ 12 Ϫ 4x x Ϫ 9 ෇ Ϫ12 x Ϫ 9 ϩ 9 ෇ Ϫ12 ϩ 9 x ෇ Ϫ3 Linear Equations in One Variable 55 Distributive property Subtract 4x. Combine like terms. Add 9. The solution set, ͕Ϫ3͖, has only one element, so 5x Ϫ 9 ෇ 4͑x Ϫ 3͒ is a conditional equation. (b) 5x Ϫ 15 ෇ 5͑x Ϫ 3͒ Use the distributive property to clear parentheses on the right side.

Copyright © 2004 Pearson Education, Inc. 56 CHAPTER 2 Linear Equations, Inequalities, and Applications Solve and check each equation. See Examples 1 and 2. 9. 7x ϩ 8 ෇ 1 10. 5x Ϫ 4 ෇ 21 11. 7x Ϫ 5x ϩ 15 ෇ x ϩ 8 12. 2x ϩ 4 Ϫ x ෇ 4x Ϫ 5 13. 12w ϩ 15w Ϫ 9 ϩ 5 ෇ Ϫ3w ϩ 5 Ϫ 9 14. Ϫ4t ϩ 5t Ϫ 8 ϩ 4 ෇ 6t Ϫ 4 15. 2͑x ϩ 3͒ ෇ Ϫ4͑x ϩ 1͒ 16. 4͑t Ϫ 9͒ ෇ 8͑t ϩ 3͒ 17. 3͑2w ϩ 1͒ Ϫ 2͑w Ϫ 2͒ ෇ 5 18. 4͑x Ϫ 2͒ ϩ 2͑x ϩ 3͒ ෇ 6 19. 2x ϩ 3͑x Ϫ 4͒ ෇ 2͑x Ϫ 3͒ 20. 6x Ϫ 3͑5x ϩ 2͒ ෇ 4͑1 Ϫ x͒ 21. 6p Ϫ 4͑3 Ϫ 2p͒ ෇ 5͑ p Ϫ 4͒ Ϫ 10 22.

Simplify each expression. See Examples 1 and 2. 11. 2͑m ϩ p͒ 12. 3͑a ϩ b͒ 13. Ϫ12͑x Ϫ y͒ 14. Ϫ10͑ p Ϫ q͒ 15. 5k ϩ 3k 16. 6a ϩ 5a 17. 7r Ϫ 9r 18. 4n Ϫ 6n 19. Ϫ8z ϩ 4w 20. Ϫ12k ϩ 3r 21. a ϩ 7a 22. s ϩ 9s 23. Ϫ͑2d Ϫ f ͒ 24. Ϫ͑3m Ϫ n͒ Simplify each expression. See Examples 1–4. 25. Ϫ12y ϩ 4y ϩ 3 ϩ 2y 26. Ϫ5r Ϫ 9r ϩ 8r Ϫ 5 27. Ϫ6p ϩ 5 Ϫ 4p ϩ 6 ϩ 11p 28. Ϫ8x Ϫ 12 ϩ 3x Ϫ 5x ϩ 9 29. 3͑k ϩ 2͒ Ϫ 5k ϩ 6 ϩ 3 30. 5͑r Ϫ 3͒ ϩ 6r Ϫ 2r ϩ 4 31. Ϫ2͑m ϩ 1͒ Ϫ ͑m Ϫ 4͒ 32. 6͑a Ϫ 5͒ Ϫ ͑a ϩ 6͒ 33. 5͑6 ϩ 2p͒ 34. 8͑5 ϩ 10x͒ 35.

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