Beginning Algebra, 11th Edition

57. 58. 59.

60. 61. 62.

63. 64. 65.

66. 67. 68.

Perform each indicated operation. See Examples 1–7.

69. 
    
    
    
    70. 
        
        
        
        71. 
            
        
        
        
        
    
    
    
    


70. 
    
    
    
    73. 
        
        
        
        74. 
            
        
        
        
        
    
    
    
    


71. 
    
    
    
    76. 
        
        
        
        77. 
            
        
        
        
        
    
    
    
    


72. 
    
    
    
    79. 
        
        
        
        80. 
            
        
        
        
        
    
    
    
    


73. 
    
    
    
    82. 
        
    
    
    
    

83. 84.

85. 86.

87. 88.

89.

90.

Write a numerical expression for each phrase and simplify. See Examples 8 and 9.

91.The sum of and 12 and 6 92.The sum of and 5 and

93.14 added to the sum of - 19 and - 4 94.- 2 added to the sum of - 18 and 11

- 5 - 3 - 12

- 7.6247- 31 - 3.9928+1.42773 2 - 1 - 2.80981 24

- 9.1237+ 31 - 4.8099-3.2516 2 +11.27903 4

- 3 + 31 - 5 - 82 - 1 - 6 + 224 - 4 + 31 - 12 + 12 - 1 - 1 - 924

- 9 + 313 - 22 - 1 - 4 + 224 - 8 - 31 - 4 - 12 + 19 - 224

a-

3

2

• 0.75b-a0.5-

1

2

a- b

1

2

+0.25b -a-

3

4

+0.75b

a-

3

8

-

2

3

b -a-

9

8

a- - 3 b

3

4

-

5

2

b-a-

1

8

• 1 b

|- 4 + 8 |+| 6 - 1 | |- 8 - 2 |-|- 9 - 3 | |- 4 - 2 |-|- 8 - 1 |

2 + 1 - 4 - 82 6 + 1 - 9 - 22 |- 5 - 6 |+| 9 + 2 |

19 - 32 - 15 6 - 1 - 8 + 32 8 - 1 - 9 + 52

14 - 62 + 12 13 - 72 + 4 18 - 12 - 12

5.7- 1 - 11.6 2 - 6.4-3.5 -4.4-8.6

3.4- 1 - 8.2 2

9

10

• a

1

8

-

3

10

b

5

8

• a-

1

2

-

3

4

b

-

5

6

-

1

2

-

3

4

-

5

8

1

3

• a-

4

3

b

1

2

• a-

1

4

2 - 13 - 52 - 3 - 14 - 112 b

SECTION 1.5 Adding and Subtracting Real Numbers 45

95.The sum of and increased

by 12

96.The sum of and increased

by 14

- 4 - 10, - 7 - 13,

101.8 less than - 2 102.9 less than - 13

103.The sum of 9 and -4,decreased by 7 104.The sum of 12 and -7,decreased by 14

105.12 less than the difference between 8
and

106.19 less than the difference between 9

• 5 and - 2

Solve each problem. See Example 10.

107.Based on 2020 population projections, New York will
lose 5 seats in the U.S. House of Representatives,
Pennsylvania will lose 4 seats, and Ohio will lose 3.
Write a signed number that represents the total number
of seats these three states are projected to lose.
(Source:Population Reference Bureau.)

108.Michigan is projected to lose 3 seats in the U.S. House
of Representatives and Illinois 2 in 2020. The states
projected to gain the most seats are California with 9,
Texas with 5, Florida with 3, Georgia with 2, and Ari-
zona with 2. Write a signed number that represents the
algebraic sum of these changes. (Source:Population
Reference Bureau.)

97. more than the sum of and 98.1.85 more than the sum of and
    
    
    • 4.75
    
    
    
    

- 9 - 1.25

7

5

7

2

7

99.The difference between 4 and - 8 100.The difference between 7 and - 14