Basic Mathematics for College Students

Success Tip In Example 4a, the solution, , is an improper fraction. If you were inclined to write it as the mixed number 1 , tha ...

8.3 Solving Equations Using Properties of Equality 663 25  3 75 Since the product of a number and its reciprocal is 1, we can s ...

Use the division property of equality. To introduce a fourth property of equality, consider the first scale shown on the left, w ...

8.3 Solving Equations Using Properties of Equality 665 Since division by 2 is the same as multiplication by , we can also solve ...

666 Chapter 8 An Introduction to Algebra Fill in the blanks. An , such as , is a statement indicating that two expressions are ...

Use a property of equality to solve each equation. Then check the result.See Examples 2–4. ...

668 Chapter 8 An Introduction to Algebra SECTION 8.4 More about Solving Equations Objectives 1 Use more than one property of equ ...

The Language of Algebra In Example 1, we subtract 5 from both sides to isolate the variable term, 12 x.Then we divide both sides ...

670 Chapter 8 An Introduction to Algebra Self Check 3 Solve: Now TryProblem 29 7 12 a^6 ^27 Self Check 4 Solve: Now TryProble ...

Simplify expressions to solve equations. When solving equations, we should simplify the expressions that make up the left and ri ...

When solving an equation, if variables appear on both sides, we can use the addition (or subtraction) property of equality to ge ...

8.4 More about Solving Equations 673 20 (^16)  320  32 00  0 0 7 2. 12 3. 36 4.3.9 5. a. 1 b. 11 6. 16 7. 29 ANSWERS T ...

When we write the expression 9xxas 10x, we say we have like terms. On the left side of the equation 4x 9 25, the variable xi ...

8.5 Using Equations to Solve Application Problems 675 1 t5(t2)  10 30 x 12 1,338 40 y 19 1,381  7  r  14 21 ...

676 Chapter 8 An Introduction to Algebra EXAMPLE (^1) Systems Analysis A company’s telephone use would have to increase by 350 c ...

8.5 Using Equations to Solve Application Problems 677 EXAMPLE (^2) Small Businesses Last year, a stylist lost 17 customers who m ...

678 Chapter 8 An Introduction to Algebra Now we translate the words of the problem into an equation. 2  f  592 Solve We need t ...

679 Check If the band’s fee was $600, and we divide it into 5 equal parts, we should get the amount that each player earned. Thi ...

Solve application problems to find two unknowns. When solving application problems, we usually let the variable stand for the qu ...

8.5 Using Equations to Solve Application Problems 681 EXAMPLE (^7) Civil Service A candidate for a position with the FBI scored ...