Beginning Algebra, 11th Edition

246 CHAPTER 3 Linear Equations and Inequalities in Two Variables; Functions

CUMULATIVE REVIEW EXERCISES

Perform each indicated operation.

1. 
   
   
   
   2. 
      
      
      
      3. 
         
      
      
      
      
   
   
   
   


2. 5.Trueor false?

6.Find the value of when and

7.What property does illustrate?

8.Simplify by combining like terms.

Solve.

9. for h 10.


10. 
    
    
    
    12. 
        
    
    
    
    

Solve each inequality, and graph the solution set.

13. 
    
    
    
    14. 
        
        
        
        15. 
            
        
        
        
        
    
    
    
    

Solve each problem.

16.The gap in average annual earnings by level of

education has increased over time. In 2008, the

average full-time worker age 25 or over with a bach-

elor’s degree earned $20,124 more than a full-time

worker with only a high school diploma. Together,

these two individuals earned a total of $81,588.

How much did the average worker at each level

of education earn? (Source:U.S. Bureau of Labor

Statistics.)

17.Baby boomers are expected to inherit

$10.4 trillion from their parents over the next 45

yr, an average of $50,000 each. The circle graph

shows how they plan to spend their

inheritances.

(a)How much of the $50,000 is expected

to go toward a home purchase?

(b) How much is expected to go toward

retirement?

18.Use the answer from Exercise 17(b)to estimate

the amount expected to go toward paying off

debts or funding children’s education.

Consider the linear equation Find the following.

19.The x- and y-intercepts 20.The slope 21.The graph

22.Are the lines with equations and parallel, perpendicular,

or neither?

Write an equation for each line. Give the final answer in slope-intercept form if possible.

23.Through 1 2, - 52 , slope 3 24.Through and 1 0, 4 2 1 2, 4 2

x+ 5 y=- 6 y= 5 x- 8

• 3 x+ 4 y=12.

2

3

x-

1

6

• 2.5x 6 6.5 41 x+ 32 - 5 x 612 x...- 2

x- 2

3

=

2 x+ 1

5

• 1 m- 32 = 5 - 2 m

V= 6 - 311 +x 2 = 21 x+ 52 - 2

1

3

pr^2 h

• 4 p- 6 + 3 p+ 8

31 - 2 +x 2 =- 6 + 3 x

xz^3 - 5 y^2 x=-2, y=-3, z=-1.

413 - 92

2 - 6

Ú 6

1 - 322 - 1 - 421242

5122 - 1 - 223

5 - 1 - 42 + 1 - 22

3

4

,

1

8

10

5

8

- 3

1

10

CHAPTERS 1–3

Source: First Interstate Bank Trust and

Private Banking Group.

Charity

1%

Home

Purchase

14%

Personal Items

4%

Pay Off

Debts or

Fund

Children's

Education

61%

Retirement

20%

Spending Their Inheritances

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