Page 599 - Basic College Mathematics with Early Integers

576 C HAPTE R 8 I INTRODUCTION TO ALGEBRA

Concept Extensions

What number should be added to or subtracted from both sides of each equation in order to solve the equation? See the
Concept Check in this section.

2 1
51. + x = 52. 12.5 =-3.75 + x
3 12

1 4
53. - =- + x 54. 9.1 = 5.9 + x
7 5

55. In your own words, explain what is meant by the 56. In your own words, explain how to check a possible
phrase “a number is a solution of an equation.” solution of an equation.

Solve.
57. x - 76,862 = 86,102 58. -968 + 432 = 86y - 508 - 85y

A football team’s total offense T is found by adding the total passing yardage P to the total rushing yardage
R: T = P + R.

59. During the 2008 regular football season, the 60. During the 2008 regular football season, the New
Pittsburgh Steelers’ total offense was 4990 yards. Orleans Saints’ total offense was 6571 yards.The
The Steelers’ passing yardage for the season was Saints’ rushing yardage for the season was
3301 yards. How many yards did the Steelers gain by 1594 yards. How many yards did the Saints gain
rushing during the season? (Source: National Football by passing during the season? (Source: National
League) Football League)

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In accounting, a company’s annual net income I can be computed using the relation I = R - E, where R is the
company’s total revenues for the year and E is the company’s total expenses for the year.

61. At the end of fiscal year 2008, Kohl’s had a net income 62. At the end of fiscal year 2008,Target had a net income
of $885,000,000. During the year, Kohl’s had total of $2,214,000,000. During the year,Target had total
expenses of $15,504,000,000.What were Kohl’s total expenses of $62,734,000,000.What were Target’s total
revenues for the year? (Source: Kohl’s Corporation) revenues for the year? (Source: Target Corporation)