Beginning Algebra, 11th Edition

Write a numerical expression for each phrase and simplify. See Examples 7 and 8.

58 CHAPTER 1 The Real Number System

93.The product of - 9 and 2, added to 9 94.The product of 4 and -7,added to - 12

95.Twice the product of and 6, sub-

tracted from

96.Twice the product of and 2, sub-

tracted from - 1

- 8

- 4

- 1

97.Nine subtracted from the product of 1.5

and

98.Three subtracted from the product of

• 3.2 4.2 and -8.5
  99.The product of 12 and the difference
  between 9 and

100.The product of and the difference

between 3 and - 7

- 3

- 8

101.The quotient of and the sum of

and

102.The quotient of and the sum of

and - 2

- 20 - 8

- 1

- 12 - 5

103.The sum of 15 and divided by the

product of 4 and

104.The sum of and divided by

the product of 2 and - 4

- 18 - 6,

- 3

- 3,

105.Two-thirds of the difference between 8

and 1

106.Three-fourths of the sum of - 8 and 12

• 107.20% of the product of - 5 and 6 108.30% of the product of 8 and 5-
  109.The sum of and times the differ-
  ence between and

110.The sum of and times the differ-

ence between and^2316

1

2 ,

3

4

1

3

3

5

5

8 ,

1

2

111.The product of and divided

by

112.The product of and divided

by^17

- 23 - 15 ,

• 
  

  (^23)
  3

  
  


• 
  

  4 ,
  1
  2

  
  

117.When 5 is added to a number, the result

is

118.When 6 is added to a number, the result

• 
  
  
  
  5. is -3.
  
  
  
  

To find the average (mean)of a group of numbers, we add the numbers and then divide the

sum by the number of terms added. For example, to find the average of 14, 8, 3, 9,and1,we

add them and then divide by5.

Average

Find the average of each group of numbers.

119.23, 18, 13, and 120.18, 12, 0, and

121. 
     
     
     
     122. 123.All integers between and 14, inclusive
          124.All even integers between - 18 and 4, inclusive
     
     
     
     

- 10

- 15, 29, 8, - 6 - 17, 34, 9, - 2

- 4, - 8 - 4, - 10

14 + 8 + 3 + 9 + 1

5

=

35

5

= 7

Write each sentence as an equation, using x as the variable. Then find the solution from the

set of integers between and inclusive. See Example 9.

113.The quotient of a number and 3 is 114.The quotient of a number and 4 is

115.6 less than a number is 4. 116.7 less than a number is 2.

- 3. -1.

- 12 12,

The operation of division is used in divisibility tests.A divisibility test allows us to determine

whether a given number is divisible (without remainder) by another number.

125.An integer is divisible by 2 if its last digit is divisible by 2, and not otherwise. Show that

(a)3,473,986 is divisible by 2 and (b)4,336,879 is not divisible by 2.

126.An integer is divisible by 3 if the sum of its digits is divisible by 3, and not otherwise.

Show that

(a)4,799,232 is divisible by 3 and (b)2,443,871 is not divisible by 3.

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