Beginning Algebra, 11th Edition

Summary Exercises on Linear Equations and
Graphs (pages 222–223)

1. 
   
   
   
   2. 
      
      
      
      3. 
         
      
      
      
      
   
   
   
   


2. 
   
   
   
   5. 
      
      
      
      6. 
         
      
      
      
      
   
   
   
   


3. 
   
   
   
   8. 
      
      
      
      9. 
         
      
      
      
      
   
   
   
   


4. 
   
   
   
   11. 
       
       
       
       12. 
           
       
       
       
       
   
   
   
   


5. 
   
   
   
   14. 
       
       
       
       15. 
           
       
       
       
       
   
   
   
   


6. 
   
   
   
   17. 
       
       
       
       18. 
           
       
       
       
       
   
   
   
   


7. (a)B (b)D (c)A (d)C 20.A, B 21.


8. 
   
   
   
   23. 
       
       
       
       24. 
           
           
           
           25. 
               
           
           
           
           
       
       
       
       
   
   
   
   


9. 
   
   
   
   27. 
       
       
       
       28. 
           
           
           
           29. 
               
           
           
           
           
       
       
       
       
   
   
   
   


10. 
    
    
    
    31. 
        
        
        
        32. 
            
        
        
        
        
    
    
    
    

Connections ( page 227) 1. 2. 3.

Section 3.5 (pages 227–229)

1. , 3. 5. 7.false 9.true


2. 
   
   
   
   13. 
       
       
       
       15. 
           
       
       
       
       
   
   
   
   

17.Use a dashed line if the symbol is or Use a solid line if the
symbol is or

19. 
    
    
    
    21. 
        
        
        
        23. 
            
        
        
        
        
    
    
    
    

x

y

0

y ≥ 2 x + 1

x

y

0

2 x + 3y > –6

x

y

0

x + y ≤ 5

... Ú.

6 7.

x

y

y < –1

x^0

y

0

–3x + 4y > 12

x

y

0

x + 2y ≥ 7

7 7 ... 6

1 5, q 2 1 - q, 5 2 1 3, 5 4

y= 0 y=^53 x+ 5 y=- 5 x- 8

y=x- 3 y= 32 x y=- 2 x- 4 y=x- 5

y=^32 x+ 12 y=- 4 x- 3 y= 53 x x= 0

y=- 3 x- 6

xx

yy

00

–2–2

66

xx xx – – 33 yy = 6 = 6

yy

–4–4 00

xx + + 4 = 04 = 0

xx

yy

00

88

–6–6

44 xx = 3 = 3y y –– 2424

xx

yy

00

66

66

yy = – = –x x ++ 66

xx

yy

00

55

–1–1

x x ++ 55 yy = 0 = 0

xx

yy

00

(0, )(0, )^3232

xx

yy

00

xx (0, –1)(0, –1) (4, –4)(4, –4)

yy

0022

5555 x x ++^22 yy = 10 = 10

xx

yy

00

(1, –3)(1, –3)

(0, –4)(0, –4)

xx

yy

00 33

–4–4 88 x x = 6= 6y y ++ 2424

xx

yy

00

–5–5

y y –– 4 = –94 = –9

xx

yy

00

11

44

x x –– 44 yy = 0 = 0

xx

yy

00

(–3.5, 0)(–3.5, 0)

xx

yy

(0, –2)(0, –2)^00 (3, –4)(3, –4)

xx

yy

00 33

(^66) yy = –2 = –2x x + 6+ 6
xx
yy
(^00) (1, –1)(1, –1)
(0, –2)(0, –2)
xx
yy
00 66
44
22 xx + 3 + 3yy = 12 = 12
xx
yy
00
22
–4–4
xx – 2 – 2yy = –4 = –4

25. 
    
    
    
    27. 
        
        
        
        29. 
            
        
        
        
        
    
    
    
    

31.Every point in quadrant IV has a positive x-value and a negative

y-value. Substituting into would imply that a negative number is

greater than a positive number, which is always false. Thus, the graph of

cannot lie in quadrant IV.

33. (a) (b) ,
    (Other answers are possible.)


34. 5 37. 85 39. 16

Section 3.6 (pages 234–236)

1.3; 3; 3.5; 5; 5.The graph consists of the four points

and 7.not a function; domain: ;

range: 9.function; domain: ;

range: 11.not a function; domain: ;

range: 13.function 15.not a function

17.function 19.function 21.not a function

23.domain: ; range: 25.domain: ;

range: 27.domain: ; range: 29.

30. 
    
    
    
    31. 
        
        
        
        32. 
            
            
            
            33. (a) 11 (b) 3 (c)
            
            
            
            
        
        
        
        
    
    
    
    


31. (a) 4 (b) 2 (c) 14 37. (a) 2 (b) 0 (c) 3


32. 
    

    ; yes 41. ; 43. 2007

    
    


33. (a) 4 (b) 2 47. 4 49. 1 51. (a) 1 (b)(0, 1)


34. 
    
    
    
    55. 
        
    
    
    
    

Chapter 3 Review Exercises (pages 241–244)

1. (a)from 2002 to 2005 and 2006 to 2007 (b)from 2005 to 2006
   (c)2005: about 33 million; 2006: about 29 million (d)about 4 million


2. ; 2; 1 3. 2; ; 4.0; ; 5.7; 7; 7 6.yes 7.no
   8.yes 9.I 10.II 11.none 12.none 13.I or III
   Graph for Exercises 9–12

x

y

0

(– 4, 2) (2, 3)

(3, 0)

(0, – 6)

• 1 32143 83 - 9

xx

yy

55

–5–5x x + 2+ 2y y = 10= 10–2–2 22 y y = –4 + 5= –4 + 5xx

–2–2^4545

xx

yy

00

44

–4–4

22 66

44 xx – 2 – 2yy = 8 = 8

22 xx + 3 + 3yy = 12 = 12

1 2007, 37.3 26 g 119802 =14.1g 120002 =28.4

51 1970, 9.6 2 , 1 1980, 14.1 2 , 1 1990, 19.8 2 , 1 2000, 28.4 2 ,

1 - 1, - 42 83 f 1 x 2 =^83 x- 34 - 9

3 2, q 2 3 0, q 2 3 0, q 2 1 2, 4 2

1 - q, q 2 1 - q, q 2 1 - q, q 2

5 - 2, 0, 1, 2, 3 6

5 2, 3, 6, 4 6 5 - 4, -2, 0, 2, 3 6

5 3, 1, 5, - 86 5 A, B, C, D, E 6

1 0, 2 2 , 1 1, 3 2 , 1 2, 4 2 , 1 3, 5 2. 5 - 4, -2, 0 6

1 1, 3 2 1 3, 5 2

1 500, 0 21 200, 400 2

x

y

100

100

0

300

500

300 500

x + y ≥ 500

y 7 x

y 7 x

x

y

0

y ≥ 4 x

x

y

0

y ≤ 5

x

y

0

x << –2

A-8 Answers to Selected Exercises

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