Intermediate Algebra (11th edition)

CHAPTERS 1–2 Cumulative Review Exercises 133

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1–2

Let Simplify the elements of A as necessary and then

list the elements that belong to each set.

1.Natural numbers 2.Whole numbers 3.Integers

4.Rational numbers 5.Irrational numbers 6.Real numbers

Add or subtract, as indicated.

7. 
   
   
   
   8. 
      
   
   
   
   


8. 
   
   
   
   10. 
       
   
   
   
   

Evaluate each expression.

11. 
    
    
    
    12. 
        
        
        
        13. 
            
            
            
            14. 
                
            
            
            
            
        
        
        
        
    
    
    
    

Evaluate for and

15. 
    
    
    
    16. 
        
        
        
        17. 
            
        
        
        
        
    
    
    
    

3 a^3 - b

4 + 3 c

• 3 a+ 2 b-c - 81 a^2 +b^32

a=2, b=-3, c=4.

a- - 46

2

3

b

3

a

6

7

b

3

1 - 325

1 - 224 + 1 - 223 225 - 51 - 120

- |- 4 |-| 2 |+|- 6 |

4

3

• a-

2

7

b

A=E-8, -^23 , - 26 , 0,^45 , 9, (^236) F.
Simplify each expression.
18.
19.- 13 k+ 82 - 214 k- 72 + 318 k+ 122

• 7 r+ 5 - 13 r+ 12

Identify the property of real numbers illustrated by each equation.

20. 
    
    
    
    21. 
        
    
    
    
    

Solve each equation.

22. 
    
    
    
    23. 
        
    
    
    
    


23. 
    
    
    
    25. for b
    
    
    
    


24. 
    
    
    
    27. 
        
    
    
    
    

Solve each inequality. Give the solution set in both interval and graph forms.

28. 
    
    
    
    29. 
        
    
    
    
    


29. or 31.

Solve each problem.

32.Shamil Mamedov invested some money at 5% simple interest and $2000 more than that

amount at 6%. The interest for the year totaled $670. How much was invested at each rate?

33.How much pure alcohol should be added to 7 L of 10% alcohol to increase the concentra-

tion to 30% alcohol?

2 x+ 175 2 - x 72 |- 7 k+ 3 |Ú 4

3 - 21 x+ 72 ...-x+ 3 - 465 - 3 x... 0

2

3

x+

5

8

x=

31

24

412 x- 62 + 31 x- 22 = 11 x+ 1 x

0.06x+0.03 1100 +x 2 =4.35 P=a+b+c

-

3

5

x+

2

3

• 4 x+ 712 x+ 32 = 7 x+ 36 x= 2

1 a+b 2 + 4 = 4 + 1 a+b 2 4 x+ 12 x= 14 + 122 x