Beginning Algebra, 11th Edition

Find each product. See Examples 1 and 2.

11. 
    
    
    
    12. 
        
        
        
        13. 
            
            
            
            14. 
                
                
                
                15. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


12. 
    
    
    
    17. 
        
        
        
        18. 
            
            
            
            19. 
                
                
                
                20. 
                    
                
                
                
                
            
            
            
            
        
        
        
        
    
    
    
    


13. 
    
    
    
    22. 
        
        
        
        23. 
            
            
            
            24. 
                
            
            
            
            
        
        
        
        
    
    
    
    

25. 26. 27. 28.

Find all integer factors of each number. See Objective 3.

29. 32 30. 36 31. 40 32. 50 33. 31 34. 17

Find each quotient. See Examples 3 and 4.

35. 
    
    
    
    36. 
        
        
        
        37. 
            
            
            
            38. 
                
            
            
            
            
        
        
        
        
    
    
    
    

39. 40. 41. 42.

43. 44. 45. 46.

47. 48. 49. 50.

Perform each indicated operation. See Example 5.

51. 
    
    
    
    52. 
        
        
        
        53. 
            
        
        
        
        
    
    
    
    


52. 
    
    
    
    55. 
        
        
        
        56. 
            
        
        
        
        
    
    
    
    


53. 
    
    
    
    58. 
        
        
        
        59. 
            
        
        
        
        
    
    
    
    


54. 
    
    
    
    61. 
        
        
        
        62. 
            
        
        
        
        
    
    
    
    


55. 
    
    
    
    64. 
        
        
        
        65. 
            
        
        
        
        
    
    
    
    


56. 
    
    
    
    67. 
        
        
        
        68. 
            
        
        
        
        
    
    
    
    


57. 
    
    
    
    70. 
        
        
        
        71. 
            
        
        
        
        
    
    
    
    

72. 73. 74.

75. 76. 77.

78. 79. 80.

Evaluate each expression for and See Example 6.

81. 
    
    
    
    82. 
        
    
    
    
    


82. 
    
    
    
    84. 
        
    
    
    
    


83. 
    
    
    
    86. 
        
    
    
    
    


84. 
    
    
    
    88. 
        
    
    
    
    


85. 
    
    
    
    90. 
        
    
    
    
    


86. 
    
    
    
    92. 
        
    
    
    
    

xy+ 8 a

x-y

2 y^2 - x

a+ 10

• 2 y^2 + 3 a 5 x- 4 a^2

1 - 5 +x 21 - 3 +y 213 - a 2 16 - x 215 +y 213 +a 2

a

5

6

x+

3

2

yba-

1

3

a ab

1

3

x-

4

5

yba-

1

5

ab

12 x+y 213 a 2 15 x- 2 y 21 - 2 a 2

5 x- 2 y+ 3 a 6 x- 5 y+ 4 a

x=6,y=-4, a=3.

- 5122 + 331 - 22 - 44

- 3 - 1 - 12

- 131 - 42 - 1 - 821 - 22

1 - 102122 - 41 - 22

• 271 - 22 - | 6 # 4 |
  
  
  • 2132 - 2122
  
  
  
  

81 - 12 - | 1 - 421 - 32 |

- 6 - 1 - 12

52 - 72

213 + 32

32 - 42

71 - 8 + 92

- 12142 + 5132

- 14 - 1 - 32

- 10122 + 6122

- 3 - 1 - 12

- 40132

- 2 - 3

- 21132

- 3 - 6

- 121 - 52

7 - 1 - 52

- 51 - 62

9 - 1 - 12

1 - 9 - 421 - 22 + 10 31 - 52 +| 3 - 10 | 41 - 82 +| 4 - 15 |

17 - 102110 - 42 15 - 122119 - 42 1 - 2 - 821 - 62 + 7

- 8 + 415 - 72 112 - 14211 - 42 18 - 9214 - 122

7 + 214 - 12 5 + 316 - 42 - 4 + 312 - 82

- 11 - 1 - 32162 - 713 - 82 - 514 - 72

7 - 3 # 6 8 - 2 # 5 - 10 - 1 - 42122

15.2

0

11.5

0

0

- 9

0

- 5

- 4.6

0.23

- 8.8

2.2

-

6

5

, a-

1

3

• b

4

3

, a-

1

8

b

38

- 19

96

- 16

- 35

- 5

- 32

- 4

- 28

7

- 42

6

35

5

15

5

• 6 a-

5

3

• 8 a- b

3

4

b

3

7

a- 1

5

9

b

2

15

a- 1

1

4

b

-

5

4

#a- 5

8

• b

3

8

#a- 10

9

• 6.8 1 0.35 2 - 4.6 1 0.24 2 b

- 91 - 52 31 - 112 31 - 152 - 0.5 102 - 0.3 102

51 - 62 - 3142 - 51 - 62 - 31 - 42 - 101 - 122

SECTION 1.6 Multiplying and Dividing Real Numbers 57