Intermediate Algebra (11th edition)

31. 
    
    
    
    33. 
        
        
        
        35. 
            
            
            
            37. 
                
            
            
            
            
        
        
        
        
    
    
    
    


32. 
    
    
    
    41. 
        
        
        
        43. 
            
        
        
        
        
    
    
    
    


33. 
    
    
    
    47. 7 49. 0 51. 53. 0
    
    
    
    

55.Answers will vary. One example of commutativity is washing your
face and brushing your teeth. An example of non-commutativity is

putting on your socks and putting on your shoes. 57. 1900 59. 75

61. 431 63.associative property 64.associative property

65.commutative property 66.associative property 67.distributive
property 68.arithmetic facts 69.No. One example is

, which is false.

Chapter 1 Review Exercises (pages 42–44)

1. 
   
   
   
   2. 
      
      
      
      3. 16 4.
      
      
      
      
   
   
   
   


2. 5 6.0, (or 4) 7. (or ), 0, (or 4) 8. ,
   (or , , 0, , , (or 4) 9.All are real numbers

except. 10. 11. 12.true
13.false 14.true 15.Subaru; 45.9% 16.Toyota; 2.14%

17.false 18.true 19.

20. 
    
    
    
    21. 
        
        
        
        22. 
            
            
            
            23. 
                
            
            
            
            
        
        
        
        
    
    
    
    


21. 
    
    
    
    25. 
        
        
        
        26. 0 27. 28. 29.11,331 ft
        
        
        
        
    
    
    
    


22. 
    
    
    
    31. 
        
        
        
        32. 33.3.21 34. 35.10,000
        
        
        
        
    
    
    
    


23. 
    
    
    
    37. 
        
        
        
        38. 
            
            
            
            39. 20 40. 41.
                42.not a real number 43. 44. 44 45. 46.
            
            
            
            
        
        
        
        
    
    
    
    


24. 
    
    
    
    48. 
        
        
        
        49. (a) 26 (b)Answers will vary. 50. 20 q
        
        
        
        
    
    
    
    


25. 
    
    
    
    52. 3 m 53. 4 p 54. 55.
    
    
    
    


26. 
    
    
    
    57. 
        
        
        
        58. 
            
            
            
            59. 0 60.
            
            
            
            
        
        
        
        
    
    
    
    


27. 
    
    
    
    62. 
        
        
        
        63. 
            
        
        
        
        
    
    
    
    


28. 
    
    
    
    65. 0 66. 67. 7 68. 1
    
    
    
    


29. million; negative 70.1096 million; positive

71.799 million; positive 72. 73. 25 74. 31 75. 9 76. 0

77. 
    
    
    
    78. 
        
        
        
        79. 
            
            
            
            80. 
                
                
                
                81. 2 82. 2 83.not a real
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    

number 84. 85. 86. 24 87.

88. 
    
    
    
    89. (a) (b) 90.Work within the
    
    
    
    

parentheses first.

Chapter 1 Test (pages 44–45)

[1.1]1. 2.0, 3, (or 5), (or 12)

3. , 0, 3, (or 5), (or 12) 4. , , 0, 3, (or 5),

7.5, (or 12) 5.All are real numbers except.

6. 
   
   
   
   7. 
      
   
   
   
   

[1.2]8. 0 [1.3]9. 10. 19 11. 1 12. 13.
[1.2]14.50,395 ft 15.37,486 ft 16.1345 ft [1.3]17. 14

11

23

16

• 
  

  (^267)
  1 - q, - 32 1 - 4, 2 4
  (^242) - 4

  
  


• 
  

  1  25 242 - 1 - 0.5  25

  
  

24

 (^252)

• 185 - 116 -^94
  
  
  • 3 k+ 6 h -11.408 - 6 x+ 4
  
  
  
  


• 5 43 - 6.16 - 9

256

625

732

13 + 1 - 32 = 10 6 x+ 6 z

12 + 32 x= 5 x - 5 12 # 42 x= 8 x

18 m+ 27 n -p- 3 q y+ 1 - 18 m

• 4 z - 2 k- 6 6 r+ 18


• 30 - 518
  
  
  • 4 - 2 - 30
  
  
  
  

34327 -^125 -^125118 - 0.9

5

• 
  

  (^157) - 7
  2

  
  


• 
  

  (^903)

  
  


• 
  

  16.99 - 39 2320 - 35

  
  

1 - 2, 3 4 4124 - 21 - 3

1 - q, - 52

- 9 5 4, 5, 6, 7, 8 6 5 0, 1, 2, 3 6

12

3

5

•  4 - 2)-0.25 0.35 3

(^123) - 9,- 4 - 2 123 - 9,- (^43)

• 8

7 + 15 # 32 = 17 + 5217 + 32

9 y+ 5 x 81 - 42 + 8 x=- 32 + 8 x

• 6 z- 39 15 + 82 x= 13 x 15 # 92 r= 45 r


• 2 k+ 15 - 3 m+ 2 - 1 2 p+ 7

A-2 Answers to Selected Exercises

18. 19.not a real number 20. (a)amust be positive.
    (b)amust be negative. (c)amust be 0. 21.
    [1.4]22. 23.It changes the sign of each term. The
    simplified form is. 24.B 25.D 26.A 27.F 28.C
    29.C 30.E

LINEAR EQUATIONS, INEQUALITIES, AND APPLICATIONS

Section 2.1 (pages 54–55)

1.A and C 3.Both sides are evaluated as 30, so 6 is a solution.

5.equation 7.expression 9.equation 11. 13.

15. 
    
    
    
    17. 
        
        
        
        19. 
            
            
            
            21. 
                
                
                
                23. ; contradiction
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


16. 
    
    
    
    27. 
        
        
        
        29. 
            
            
            
            31. 
                
                
                
                33. all real numbers ;
                    identity 35. 37. 39. 41. all real numbers ;
                    identity 43. 45. 12 47. (a) or 100 (b) or 1000
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


17. 
    
    
    
    51. 
        
        
        
        53. 
            
            
            
            55. 
                
                
                
                57. 
                    
                    
                    
                    59. 
                        
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


18. 
    
    
    
    63. 
        
        
        
        65. 
            
            
            
            67. 
                
                
                
                69. 
                    
                    
                    
                    71. 36
                    
                    
                    
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


19. 72 75. 50

Section 2.2 (pages 62–67)

1. 
   
   
   
   3. or 5. (a)
   
   
   
   

(b) 7. 9. (a) (b) or

11. 13.D 15.


12. 
    
    
    
    19. 21.3.275 hr
    
    
    
    

23.52 mph 25.113°F 27.230 m 29.radius: 240 in.; diameter:

480 in. 31.2 in. 33.75% water; 25% alcohol 35.3% 37.$10.51

39.$45.66 41. (a).586 (b).519 (c).463 (d).395 43.54%

45.101.1 million 47.$70,781 49.$35,390 51.8% 53.3.8%

55.47.5% 57.{12} 59. 61. 63. 6

Section 2.3 (pages 74–80)

1. (a) (b) 3. (a) (b) 5.D


2. 
   
   
   
   9. 
      
      
      
      11. 
          
          
          
          13. 
              
              
              
              15. ;
              
              
              
              
          
          
          
          
      
      
      
      
   
   
   10. ; 19. ; 6
       21.expression; 23.equation; 25.expression;
       27.Step 1:the number of patents each corporation secured;
       Step 2:patents that Samsung secured; Step 3: x; Step 4:4169;
       Step 5:4169; 3502; Step 6:667; IBM patents; 3502; 7671 29.width:
       165 ft; length: 265 ft 31.24.34 in. by 29.88 in. 33.850 mi; 925 mi;
       1300 mi 35.Exxon Mobil: $442.9 billion; Wal-Mart: $405.6 billion
       37.Eiffel Tower: 1063 ft; Leaning Tower: 183 ft 39.Obama:
       365 votes; McCain: 173 votes 41.39.0% 43.$7028 45.$44.60
       47.$225 49.$4000 at 3%; $8000 at 4% 51.$10,000 at 4.5%;
       $19,000 at 3% 53.$24,000 55.5 L 57.4 L 59.1 gal 61.150 lb
   
   
   
   

x-667;

1

3 x-

13

2

• 11 x+ 63 E^5111 F


• 37 x- 1 - 4 x 2 =x+ 994 14 - 32 x= 10

x+ 6 =- 31

3 x

10

2 x- 13 12 + 4 x 81 x- 162

x+ 15 157 x x- 8 86 x

5 - 66 - 3

y=

7 - 6 x

• 5
  , or y=
  6 x- 7
  5
  y=
  5 + 3 x
  2

y=

11 - 4 x

9

B= C= 951 F- 322

2 a-hb

h

B=

2 a

h

h= -b,

2 a

b+B

r=

C

2 p

H=

V

LW

W=

V

LH

L=

P

2

L= -W

P- 2 W

2

r= ,

I

pt

506 520006 5256 5406 536

E-^185 F E-^56 F^566546536536

E^32 F 102 , 103 ,

5 - 16 576 526 5 6

E- 35 F E- 21 F 526 5 - 26 5 6

5 - (^76506546) E- 87 F 0
5 - 16 5 - 46

2

7 r+ 2

10 k- 10

• 236


• 15

–5 0

–2 0 3

–2 0 2 4 6

0.75 6.3

5

3

–3 0 –4 0 2

–4 –2 0 2 4

9

4

–5 –3

–0.5

035

13

3

–1 1

11

• 4