Download Algebra for College Students by Margaret L. Lial, John Hornsby, Terry McGinnis PDF

By Margaret L. Lial, John Hornsby, Terry McGinnis

The Lial sequence has helped hundreds of thousands of scholars achieve developmental arithmetic via its pleasant writing sort, a variety of real looking examples, wide challenge units, and entire vitamins package deal. based on its confirmed music checklist, this revision contains a new open layout, extra workouts and purposes, and extra positive factors to aid either scholars and teachers prevail.

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The following identity properties summarize this discussion and extend these properties from arithmetic to algebra. OBJECTIVE 3 Use the identity properties. Identity Properties For any real number a, a ؉ 0 ‫ ؍‬0 ؉ a ‫ ؍‬a. Start with a number a; add 0. The answer is “identical” to a. Also, a ؒ 1 ‫ ؍‬1 ؒ a ‫ ؍‬a. Start with a number a; multiply by 1. The answer is “identical” to a. EXAMPLE 2 Using the Identity Property 1 ؒ a ‫ ؍‬a Simplify each expression. (a) 12m ϩ m ෇ 12m ϩ 1m ෇ ͑12 ϩ 1͒m ෇ 13m Identity property Distributive property Add inside parentheses.

4 (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. (c) 8 Ϫ ͑3m ϩ 2͒ ෇ 8 Ϫ 1͑3m ϩ 2͒ ෇ 8 Ϫ 3m Ϫ 2 ෇ 6 Ϫ 3m (d) 3x͑5͒͑y͒ ෇ ͓3x͑5͔͒y ෇ ͓3͑x и 5͔͒y ෇ ͓3͑5x͔͒y ෇ ͓͑3 и 5͒x͔y ෇ ͑15x͒y ෇ 15͑xy͒ ෇ 15xy 37 Identity property Distributive property Combine like terms. Order of operations Associative property Commutative property Associative property Multiply. Associative property As previously mentioned, many of these steps are not usually written out.

Now Try Exercise 47. An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 62 CHAPTER 2 Linear Equations, Inequalities, and Applications EXAMPLE 6 Interpreting Percents from a Graph The country of origin of immigrants to the United States is shifting from mainly European in the 19th century to Hispanic (from Mexico and Central America) and Asian. In 2000, the foreign-born population of the United States from all countries was 28,379,000 to the nearest thousand.

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