Beginning Algebra, 11th Edition

82 CHAPTER 1 The Real Number System

Write each sentence in symbols, using x as the variable, and find the solution from the list of

integers between and 12.

109.8 times a number is 110.The quotient of a number and 3 is

Find the average of each group of numbers.

111.26, 38, 40, 20, 4, 14, 96, 18 112.

1.7 Decide whether each statement is an example of thecommutative, associative,

identity, inverse,ordistributive property.

113. 
     
     
     
     114. 
          
     
     
     
     


114. 
     
     
     
     116. 
          
     
     
     
     


115. 
     
     
     
     118. 
          
     
     
     
     


116. 
     
     
     
     120. 
          
     
     
     
     

Use the distributive property to rewrite each expression. Simplify if possible.

121. 
     
     
     
     122. 
          
          
          
          123. 
               
               
               
               124. 
                    
               
               
               
               
          
          
          
          
     
     
     
     

1.8 Combine like terms whenever possible.

125. 126.

127. 128.

129. 130.

Translate each phrase into a mathematical expression. Use x to represent the number, and

combine like terms when possible.

131.Seven times a number, subtracted from the product of and three times the number

132.A number multiplied by 8, added to the sum of 5 and four times the number

- 2

712 m+ 32 - 218 m- 42 - 12 k+ 82 - 13 k- 72

5 p^2 - 4 p+ 6 p+ 11 p^2 - 213 k- 52 + 21 k+ 12

2 m+ 9 m 15 p^2 - 7 p^2 + 8 p^2

7 y+ 14 - 1214 - t 2 312 s 2 + 315 y 2 - 1 - 4 r+ 5 s 2

3 x+ 3 y= 31 x+y 2 11 + 22 + 3 = 3 + 11 + 22

5 + 1 - 9 + 22 = 35 + 1 - 924 + 2 w 1 xy 2 = 1 wx 2 y

- 17 + 1 - 172 = 0

2

3

a-

3

2

b = 1

6 + 0 = 6 5 # 1 = 5

- 12, 28, -36, 0, 12, - 10

- 24. -2.

- 12

*The order of exercises in this final group does not correspond to the order in which topics occur in the

chapter. This random ordering should help you prepare for the chapter test in yet another way.

(continued)

MIXED REVIEW EXERCISES*

Perform each indicated operation.

133. 
     
     
     
     134. 
          
          
          
          135. 
               
          
          
          
          
     
     
     
     

136. 137. 138.

139. 140.

141. 142.

143. 144.

145.Write a sentence or two explaining the special considerations involving 0 in division.

146.The highest temperature ever recorded in Iowa was 118°F at Keokuk on July 20,

1934. The lowest temperature ever recorded in the state was at Elkader on February 3,
      1996, and was 165° lower than the highest temperature. What is the record low tem-
      perature for Iowa? (Source:National Climatic Data Center.)

5 x^2 - 12 y^2 + 3 x^2 - 9 y^21 - 8 - 32 - 512 - 92

• 8 + 31 - 4 + 172 - 1 - 3 - 324 - 412 t+ 12 - 81 - 3 t+ 42

31 - 22 + 7 - 1 - 524 + 3 - 4 - 1 - 1024 - 161 - 3.5 2 - 7.2 1 - 32

a-

5

6

b

2

2

5

6

- 4

1

3

-

12

5

,

9

7

82 + 62

72 + 12

3

8

-

5

12

61 - 42 + 21 - 122

51 - 32 + 1 - 32

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