Basic Mathematics for College Students

682 Chapter 8 An Introduction to Algebra EXAMPLE (^8) Playgrounds After receiving a donation of 400 feet of chain link fencing, ...

8.5 Using Equations to Solve Application Problems 683 Fill in the blanks. The five-step problem-solving strategy is: the proble ...

15.HISTORY A 1,700-year-old scroll is 425 years older than the clay jar in which it was found. How old is the jar? Analyze The ...

THE STOCK MARKET An investor has seen the value of his stock double in the last 12 months. If the current value of his stock is ...

ANTIQUES A woman purchases 8 antique spoons each year. She now owns 56 spoons. In how many years will she have 200 spoons in he ...

AUTO REPAIR A woman paid $29 less to have her car fixed at a muffler shop than she would have paid at a gas station. At the gas ...

THE BERMUDA TRIANGLE The Bermuda Triangle is a triangular region in the Atlantic Ocean where many ships and airplanes have disa ...

Expressions of the form are called exponential expressions.The base of an exponential expression can be a number, a variable, or ...

Multiply exponential expressions that have like bases. To develop a rule for multiplying exponential expressions that have the s ...

Caution! We cannot use the product rule to simplify expressions like , where the bases are not the same. However, we can simplif ...

Find powers of products. To develop another rule for exponents, we consider the expression , which is a power of the productof 2 ...

The rules for natural-number exponents are summarized as follows. Rules for Exponents If and represent natural numbers and there ...

694 Chapter 8 An Introduction to Algebra Identify the base and the exponent in each expression. See Example 1. ...

Use the power rule for exponents to simplify each expression. Write the results using exponents.See Example 4. ...

696 Chapter 8 Summary and Review CHAPTER 8 SUMMARY AND REVIEW SECTION 8.1 The Language of Algebra A variableis a letter (or symb ...

Chapter 8 Summary and Review 697 Variables and/or numbers can be combined with the operations of addition, subtraction, multipli ...

698 Chapter 8 Summary and Review Write each expression without using a multiplication symbol or parentheses. a. 6 b b. x y z ...

Chapter 8 Summary and Review 699 The distributive propertycan be used to remove parentheses: a(bcd)abacad a(bc)abac a(b ...

700 Chapter 8 Summary and Review SECTION 8.3 Solving Equations Using Properties of Equality An equationis a statement indicating ...

Chapter 8 Summary and Review 701 SECTION 8.4 More About Solving Equations A strategy for solving equations: Simplifyeach side. ...