Basic Mathematics for College Students

Use a property of equality to solve each equation. Then check
the result.See Examples 2–4.

37. 
    
    
    
    38. 
        
    
    
    
    


38. 
    
    
    
    40. 
        
    
    
    
    


39. 
    
    
    
    42. 
        
    
    
    
    


40. 
    
    
    
    44. 
        
    
    
    
    


41. 
    
    
    
    46. 
        
    
    
    
    


42. 
    
    
    
    48. 
        
    
    
    
    


43. 
    
    
    
    50. 
        
    
    
    
    


44. 
    
    
    
    52. 
        
    
    
    
    

Use a property of equality to solve each equation. Then check
the result.See Example 5.

53. 
    
    
    
    54. 
        
    
    
    
    


54. 
    
    
    
    56. 
        
    
    
    
    


55. 
    
    
    
    58. 
        
    
    
    
    


56. 
    
    
    
    60. 
        
    
    
    
    

Use a property of equality to solve each equation.See Example 6.

61. 
    
    
    
    62. 
        
    
    
    
    


62. 
    
    
    
    64. 
        
    
    
    
    


63. 
    
    
    
    66. 
        
    
    
    
    


64. 
    
    
    
    68. 
        
    
    
    
    

Use a property of equality to solve each equation.See Example 7.

69. 
    
    
    
    70. 
        
    
    
    
    


70. 
    
    
    
    72. 
        
    
    
    
    


71. 
    
    
    
    74. 
        
    
    
    
    


72. 
    
    
    
    76. 
        
    
    
    
    


73. 
    
    
    
    78. 
        
    
    
    
    


74. 
    
    
    
    80. 
        
    
    
    
    

Use a property of equality to solve each equation.See Example 8.

81. 
    
    
    
    82. 
        
    
    
    
    


82. 
    
    
    
    84. 
        
    
    
    
    

Solve each equation. Then check the result.

85. 
    
    
    
    86. 
        
    
    
    
    


86. 
    
    
    
    88. 
        
    
    
    
    


87. 
    
    
    
    90. 
        
    
    
    
    


88. 
    
    
    
    92. 
        
    
    
    
    

5

9

r

1

6

3

4

d

1

10



14

3

 c 7

9

8

x 3

2.5m 1.8b

8.94.1t 7.73.2s

TRY IT YOURSELF

w

11

16

n

4

21

x 18 y 50

3.4y1.7 2.1x1.26

 100  5 g  80  5 w

 8 h 48  9 a 72

23 b 23 16  16 h

63  9 c 40  5 t

4 x 16 5 y 45



3

8

 t 3

5

4

h 5



4

5

 s 36

7

2

r 21

9

7

d 81

2

3

c 10

11

15

y 22

4

5

t 16

y

0.8

2.9

y

0.6

4.4

c

 2

 11

d

 7

 3

d

49

0   0

v

11

y

7

 12

x

15

 3

3.5ƒ1.2 9.4h8.1

1

6

h

4

3

s

1

5



4

25

x 7  10 y 15  24

7

15

b

1

15

d

1

9



7

9

 3 a 0  1 m 0

x1.62.5 y1.21.3

9 p 9 3 j 88

a 5  66 x 34  19

8.3 Solving Equations Using Properties of Equality 667

93. 
    
    
    
    94. 
        
    
    
    
    


94. 
    
    
    
    96. 
        
    
    
    
    


95. 
    
    
    
    98. 
        
    
    
    
    


96. 
    
    
    
    100. 
         
    
    
    
    

101. SYNTHESIZERS

To find the unknown

angle measure, which

is represented by ,

solve the equation

.

102. STOP SIGNS To find the
     measure of one angle of
     the stop sign, which is
     represented by , solve the
     equation.


103. LOTTO When a 2006 Florida Lotto Jackpot was
     won by a group of 16 nurses employed at a
     Southwest Florida Medical Center, each received
     $375,000. To find the amount of the jackpot,
     which is represented by , solve the equation
     .


104. TENNIS Billie Jean King won 40 Grand Slam tennis
     titles in her career. This is 14 less than the all-time
     leader, Martina Navratilova. To find the number of
     titles won by Navratilova, which is represented by ,
     solve the equation.


105. What does it mean to solve an equation?


106. When solving an equation, we isolatethe variable on
     one side of the equation. Write a sentence in which
     the word isolateis used in a different context.


107. Explain the error in the following work.
     Solve:


108. After solving an equation, how do we check the
     result?


109. Evaluate for.


110. Evaluate:


111. Translate to symbols: Subtract from 45


112. Evaluate:

23 3(53)

15  4  2

x

 52 (5)^2

 9  3 x x 3

REVIEW

x 40

x 2  2  40

x 2  40

WRITING

40 x 14

x

x

16 375,000

x

STOP

x

8 x1,080

x

115 °

x

x 115  180

x

APPLICATIONS

a 93  2 18 x 3

x

 7

 12

h

 40

 5

 10 n 5  8 t 2

 15 x 60  14 x 84