Intermediate Algebra (11th edition)

CHAPTERS 1–11 Cumulative Review Exercises 675

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1–11

Solve.

1. 
   
   
   
   2. 
      
   
   
   
   


2. 
   
   
   
   4. 5.Find the slope of the line through and.
      6.Find the equation of the line through the point and perpendicular to the graph
      of.
   
   
   
   

Solve each system.

2 x- 3 y= 7

1 - 3, - 22

1 2, 5 2 1 - 4, 1 2

| 5 x|- 6 = 14 | 2 p- 5 | 715

4 - 12 x+ 32 +x= 5 x- 3 - 4 x+ 7 Ú 6 x+ 1

7. 8. 9.

2 x+y= 3

xy=- 5

3 x-y- z= 13

2 x+y+ z= 7

x+y- 2 z= 9

2 x+ 3 y=- 3

3 x- y= 12

10.Al and Bev traveled from their apartment to a picnic 20 mi away. Al traveled on his bike

while Bev, who left later, took her car. Al’s average rate was half of Bev’s average rate. The

trip took Al hr longer than Bev. What was Bev’s average rate?

Perform the indicated operations.

11. 
    
    
    
    12. 
        
    
    
    
    

Factor.

13. 
    
    
    
    14. 
        
        
        
        15. 
            
        
        
        
        
    
    
    
    

Perform the indicated operations.

16. 17. 18.

19.Henry Harris and Lawrence Hawkins want to clean their office. Henry can do the job

alone in 3 hr, while Lawrence can do it alone in 2 hr. How long will it take them if they

work together?

Simplify. Assume all variables represent positive real numbers.

20. 21.

22. 23.

Solve for real solutions.

24. 
    
    
    
    25. 
        
        
        
        26. 
            
        
        
        
        
    
    
    
    


25. 
    
    
    
    28. 
        
    
    
    
    

29.Solve for v. 30.If , find.

31.Evaluate. (a) (b)

32.Use properties of logarithms to write 2 log 13 x+ 72 - log 4as a single logarithm.

3 log^3 4 eln 7

F= ƒ 1 x 2 =x^3 + 4 ƒ-^11 x 2

kwv^2

r

21 x^2 - 322 - 51 x^2 - 32 = 12 log 1 x+ 22 +log 1 x- 12 = 1

22 x= 25 x+ 3 10 q^2 + 13 q= 3 3 x^2 - 3 x- 2 = 0

5 + 3 i

2 - i

325 x

22 x

42316 - 22354

12 a 2 -^2 a^4

a-^3

p

p^2 +p

+

1

p^2 +p

5

c+ 5

-

2

c+ 3

y^2 - 4

y^2 - y- 6

,

y^2 - 2 y

y- 1

12 x^2 - 7 x- 10 z^4 - 1 a^3 - 27 b^3

8 x^4 - 4 x^3 + 2 x^2 + 13 x+ 8

2 x+ 1

15 y- 322

1

2