By Margaret L. Lial

The Lial sequence has helped millions of scholars reach developmental arithmetic via its pleasant writing sort, quite a few real looking examples, large challenge units, and whole supplementations package deal. in response to its confirmed tune checklist, this revision encompasses a new open layout, extra routines and functions, and extra gains to assist either scholars and teachers be triumphant.

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

**Example text**

46 ͑Ϫ4͒6 2. Ϫ47 ͑Ϫ4͒7 3. ͙16 is a positive number. 4. 3 ϩ 5 и 6 3 ϩ ͑5 и 6͒ 5. ͑Ϫ2͒ is a negative number. 6. ͑Ϫ2͒8 is a positive number. 7. The product of 8 positive factors and 8 negative factors is positive. 8. The product of 3 positive factors and 3 negative factors is positive. 7 9. In the exponential expression Ϫ35, Ϫ3 is the base. 11. Evaluate each exponential expression. MathXL Digital Video Tutor CD 1/Videotape 1 2 (a) 8 (c) ͑Ϫ8͒2 (b) Ϫ8 (d) Ϫ͑Ϫ8͒2 2 10. ͙a is positive for all positive numbers a.

The distributive property can also be written ab ϩ ac a͑b ϩ c͒ ba ϩ ca ͑b ϩ c͒a. and It can be extended to more than two numbers as well. a͑b ϩ c ϩ d͒ ab ϩ ac ϩ ad This property is important because it provides a way to rewrite a product a͑b ϩ c͒ as a sum ab ϩ ac, or a sum as a product. ” EXAMPLE 1 Using the Distributive Property Use the distributive property to rewrite each expression. (a) 3͑x ϩ y͒ Use the first form of the property to rewrite this product as a sum. 3͑x ϩ y͒ 3x ϩ 3y (b) Ϫ2͑5 ϩ k͒ Ϫ2͑5͒ ϩ ͑Ϫ2͒͑k͒ Ϫ10 Ϫ 2k (c) 4x ϩ 8x Use the second form of the property to rewrite this sum as a product.

An Addison-Wesley product. Copyright © 2004 Pearson Education, Inc. 4 (b) y ϩ y 1y ϩ 1y ͑1 ϩ 1͒y 2y Properties of Real Numbers 35 Identity property Distributive property Add inside parentheses. (c) Ϫ͑m Ϫ 5n͒ Ϫ1͑m Ϫ 5n͒ Ϫ1͑m͒ ϩ ͑Ϫ1͒͑Ϫ5n͒ Ϫm ϩ 5n Identity property Distributive property Multiply. Now Try Exercises 21 and 23. Expressions such as 12m and 5n from Example 2 are examples of terms. A term is a number or the product of a number and one or more variables. Terms with exactly the same variables raised to exactly the same powers are called like terms.