Beginning Algebra, 11th Edition

Solving an Equation with Rational Expressions Solve, and check the proposed solution(s). 1 x- 1 + 1 2 = 2 1 x+ 121 x- 12 1 x- 1 ...

Distributive property Simplify. Distributive property Combine like terms. Subtract 2k. 7 =k Subtract 3. 10 =k+ 3 2 k+ 10 = 3 k+ ...

Solving for a Specified Variable Solve the following formula for c. Multiply by the LCD, abc. Distributive property Simplify. Su ...

17.What is wrong with the following problem? “Solve ” 18.Explain how the LCD is used in a different way when adding and ...

73. 74. 75. 76. 77.Concept Check If you are solving a formula for the letter k ...

SUMMARY EXERCISES on Rational Expressions and Equations Write a mathematical expression for each exercise. See Section 2.7. 97.A ...

466 CHAPTER 7 Rational Expressions and Applications By contrast, consider the following equation. Divide out common factors. Dis ...

SECTION 7.7 Applications of Rational Expressions 467 x x- 2 + 3 x+ 2 = 8 x^2 - 4 4 t^2 - t 6 t^2 ...

OBJECTIVE 2 Solve problems about distance, rate, and time.Recall from Chapter 2the following formulas relating distance, rate, a ...

Step 3 Write an equation. 12 x+ 3 = 8 x- 3 SECTION 7.7 Applications of Rational Expressions 469 The time downstream equals the t ...

Solving a Problem about Work Rates “If Joe can paint a house in 3 hr and Sam can paint the same house in 5 hr, how long does it ...

The amount painted by Joe in 1 hr plus the amount painted by Sam in 1 hr must equal the amount they can do together. This relati ...

9.A quantity, of it, of it, and of it, added together, equals 33. What is the quantity? (Source:Rhind Mathematical Papyrus.) 10. ...

Concept CheckSolve each problem. 17.Suppose Stephanie walks Dmiles at Rmph in the same time that Wally walks dmiles at rmph. Giv ...

29.The distance from Seattle, Washington, to Victoria, British Columbia, is about 148 mi by ferry. It takes about 4 hr less to t ...

41.One pipe can fill a swimming pool in 6 hr, and another pipe can do it in 9 hr. How long will it take the two pipes working to ...

476 CHAPTER 7 Rational Expressions and Applications Using Direct Variation Suppose yvaries directly as x, and when Find ywhen Si ...

SECTION 7.8 Variation 477 Solving a Direct Variation Problem The distance a body falls from rest varies directly as the square o ...

478 CHAPTER 7 Rational Expressions and Applications Another example of inverse variation comes from the distance formula. Distan ...

SECTION 7.8 Variation 479 NOW TRY EXERCISE 4 If the area is constant, the height of a triangle varies in- versely as the base. I ...