Download Algebra for College Students (5th Edition) (MathXL Tutorials by Margaret L. Lial PDF

By Margaret L. Lial

The Lial sequence has helped hundreds of thousands of scholars achieve developmental arithmetic via its pleasant writing kind, quite a few reasonable examples, vast challenge units, and entire vitamins package deal. in line with its confirmed tune checklist, this revision features a new open layout, extra workouts and functions, and extra positive aspects to aid either scholars and teachers be successful.

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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 p෇6 An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 2 Formulas OBJECTIVES 1 Solve a formula for a specified variable. 2 Solve applied problems using formulas. 3 Solve percent problems. A mathematical model is an equation or inequality that describes a real situation. Models for many applied problems already exist; they are called formulas. A formula is a mathematical equation in which variables are used to describe a relationship.

P Ϫ 2L 2W Step 3 ෇ Divide both sides by 2. 2 2 P Ϫ 2L P Ϫ 2L ෇ W or W ෇ 2 2 Now Try Exercise 9. C A U T I O N In Step 3 of Example 1, you cannot simplify the fraction by dividing 2 into the term 2L. The subtraction in the numerator must be done before the division. P Ϫ 2L PϪL 2 EXAMPLE 2 Solving a Formula with Parentheses The formula for the perimeter of a rectangle is sometimes written in the equivalent form P ෇ 2͑L ϩ W͒. Solve this form for W. *Using the distributive property to write ab ϩ ac as a͑b ϩ c͒ is called factoring.

4. Use substitution to decide whether Ϫ2 is a solution of 5͑x ϩ 4͒ Ϫ 3͑x ϩ 6͒ ෇ 9͑x ϩ 1͒. If it is not a solution, explain why. 5. The equation 4͓x ϩ ͑2 Ϫ 3x͔͒ ෇ 2͑4 Ϫ 4x͒ is an identity. Let x represent the number of letters in your last name. Is this number a solution of this equation? Check your answer. 6. 06͑10 Ϫ x͒͑100͒ is equivalent to which of the following? A. 06x B. 60 Ϫ 6x C. 6 Ϫ 6x D. 06x 7. Identify each as an expression or an equation. (a) 3x ෇ 6 (c) 5x ϩ 6͑x Ϫ 3͒ ෇ 12x ϩ 6 (b) 3x ϩ 6 (d) 5x ϩ 6͑x Ϫ 3͒ Ϫ ͑12x ϩ 6͒ 8.

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