Beginning Algebra, 11th Edition

492 CHAPTER 7 Rational Expressions and Applications

Simplify each expression. Write with only positive exponents.

11. 
    
    
    
    12. 
        
    
    
    
    

Perform each indicated operation.

13. 
    
    
    
    14. 
        
    
    
    
    


14. 
    
    
    
    16. 
        
    
    
    
    

Factor completely.

17. 
    
    
    
    18. 
        
        
        
        19. 
            
        
        
        
        
    
    
    
    

Solve each equation.

20. 
    
    
    
    21. 
        
    
    
    
    

Solve each problem.

22.One number is 4 greater than another. The product of the numbers is 2 less than the lesser

number. Find the lesser number.

23.The length of a rectangle is 2 m less than twice the width. The

area is 60. Find the width of the rectangle.

24.Which one of the following is equal to 1 for allreal numbers?

A. B. C. D.

25.Which one of the following rational expressions is notequivalent to

A. B. C. D.

Perform each operation and write the answer in lowest terms.

26. 
    
    
    
    27. 
        
    
    
    
    


27. 
    
    
    
    29. 
        
    
    
    
    


28. 
    
    
    
    31. 
        
    
    
    
    

Solve each equation. Check your solutions.

32. 
    
    
    
    33. 
        
    
    
    
    

Solve each problem.

34.Jody Harris can weed the yard in 3 hr. Pat Tabler can weed the same yard in 2 hr. How

long will it take them if they work together?

35.The circumference of a circle varies directly as its radius. A circle with

circumference 9.42 in. has radius approximately 1.5 in. Find the

circumference of a circle with radius 5.25 in. Give the answer to the

nearest hundredth.

1

x

=

1

x+ 1

+

1

2

r+ 2

5

=

r- 3

3

4

a

+

5

2 a

7

6 a

• 1
  5 a

7 z^2 + 49 z+ 70

16 z^2 + 72 z- 40

,

3 z+ 6

4 z^2 - 1

2

k^2 +k

• 
  

3

k^2 - k

4

5 q- 20

• 
  

1

3 q- 12

3

7

+

4

r

5

q

• 1
  q
  
  
  • 13 x+ 42
    7
  
  
  
  


• 4 + 3 x


• 7


• 
  

  4 - 3 x

  
  


• 7


• 
  


• 4 + 3 x
  7

4 - 3 x

7?

x^2 - 1

x^2 - 1

2 x+ 9

2 x+ 9

4 - m

4 - m

k^2 + 2

k^2 + 2

m^2

r^2 = 2 r+ 15 1 r- 5212 r+ 1213 r- 22 = 0

8 t^2 + 10 tv+ 3 v^28 r^2 - 9 rs+ 12 s^216 x^4 - 1

12 p^3 + 2 p^2 - 12 p+ 4

2 p- 2

1 y^2 + 3 y+ 5213 y- 12

12 k^2 + 3 k 2 - 1 k^2 +k- 12 12 a-b 22

1 m-^223 m

m^5 m-^4

12 x^32 -^1 #x

23 x^5

2 w – 2

w

1.5 in.

C = 9.42 in.

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