Beginning Algebra, 11th Edition

26 CHAPTER 1 The Real Number System

Complete solution available
on the Video Resources on DVD

1.3 EXERCISES

Concept Check Choose the letter(s) of the correct response.

1.The expression means.

A. B. C. D.

2.If and then the value of xyis.

A. B. 1 C. 2 D. 3

3.The sum of 15 and a number xis represented by.

A. B. C. D.

4.Which of the following are expressions?

A. B. C. D.

In Exercises 5– 8, give a short explanation.

5.Explain why is not the same as

6.Why are “7 less than a number” and “7 is less than a number” translated differently?

7.When evaluating the expression for explain why 4 must be squared before

multiplying by 5.

8.There are many pairs of values of xand yfor which will equal 6. Name two such

pairs and describe how you determined them.

Find the value for (a) and (b) See Example 1.

9. 
   
   
   
   10. 
       
       
       
       11. 4 x 12. 6 x 13.
       
       
       
       
   
   
   
   


10. 
    
    
    
    15. 
        
        
        
        16. 
            
            
            
            17. 
                
                
                
                18. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


11. 
    
    
    
    20. 21.6.459x 22.
    
    
    
    

Find the value for (a) and and (b) and See Example 2.

23. 
    
    
    
    24. 
        
        
        
        25. 
            
            
            
            26. 
                
            
            
            
            
        
        
        
        
    
    
    
    


24. 
    
    
    
    28. 
        
        
        
        29. 
            
            
            
            30. 
                
            
            
            
            
        
        
        
        
    
    
    
    

31. 32. 33. 34.

35. 36. 37. 38.

Write each word phrase as an algebraic expression, using x as the variable. See Example 3.

39.Twelve times a number 40.Fifteen times a number

41.Nine added to a number 42.Six added to a number

43.Four subtracted from a number 44.Seven subtracted from a number

45.A number subtracted from seven 46.A number subtracted from four

47.The difference between a number and 8 48.The difference between 8 and a number

49.18 divided by a number 50.A number divided by 18

0.841x^2 +0.32y^2 0.941x^2 +0.25y^2

x^2 + 1

4 x+ 5 y

3 x+y^2

2 x+ 3 y

2 y^2 + 5 x 6 x^2 + 4 y

4 x+ 3 y- 1

x

2 x+ 4 y- 6

5 y+ 2

x

5

+

y

4

x

2

+

y

3

y+

8

x

x+

4

y

8 x+ 3 y+ 5 4 x+ 2 y+ 7 31 x+ 2 y 2 212 x+y 2

x= 2 y= 1 x= 1 y=5.

3 x^2 +x 2 x+x^2 3.275x

4 x- 1

3 x

3 x- 5

2 x

x- 2

5

x+ 1

3

5 x^2

x+ 7 x- 3 4 x^2

x= 4 x=6.

2 x+y

5 x^2 x=4,

2 x^32 x# 2 x# 2 x.

6 x= 7 6 x+ 7 6 x- 7 6 x- 7 = 0

15 +x 15 - x x- 15 15 x

1

2

x= 2 y=1,

8 #x# 2 8 #x#x 8 +x^28 x^2 # 8 x^2

8 x^2

51.The product of 6 and four less than a

number

52.The product of 9 and five more than a

number

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