Beginning Algebra, 11th Edition

(b)

=- 3

= 5 + 3 - 84

= 5 + 31 - 52 + 1 - 324

= 5 + 31 - 52 - 34

= 5 + 31 - 3 + 1 - 222 - 34

5 + 31 - 3 - 22 - 14 - 124

SECTION 1.5 Adding and Subtracting Real Numbers 41

Show all steps to

avoid sign errors.

Work within each set of parentheses

inside the brackets.

NOW TRY

OBJECTIVE 5 Translate words and phrases involving addition and

subtraction.The table lists words and phrases that indicate addition.

NOW TRY
EXERCISE 8
Write a numerical expression
for the phrase, and simplify
the expression.

The sum of and 7,

increased by 10

- 3

NOW TRY ANSWERS

7. (a) (b) 1


8. 1 - 3 + 72 + 10 ; 14
   
   
   • 2
   
   
   
   

Numerical Expression

Word or Phrase Example and Simplification

Sum of The sum of 3 and 4 , or 1

Added to 5 added to , or

More than 12 more than 5 , or 7

Increased by 6 increased by 13 , or 7

Plus 3 plus 14 3 + 14 , or 17

• 
  
  
  
  • 6 + 13
    
    
    • 
      
      
      
      • 5 + 12
      
      
      
      
    
    
    
    
  
  
  
  


• 8 - 8 + 5 - 3


• 
  
  
  
  • 3 + 4
  
  
  
  

Translating Words and Phrases (Addition)

Write a numerical expression for each phrase, and simplify the expression.

(a)The sum of 8 and 4 and 6

- 8 + 4 + 6 simplies to - 4 + 6, or 2.

-

EXAMPLE 8

Add in order from left to right.

(b) 3 more than 5, increased by 12

1 - 5 + 32 + 12 simplifies to - 2 + 12, or 10. NOW TRY

-

(c)

Find a common denominator.

Definition of subtraction

Add.

or Subtract. Write in lowest terms.

(d)

Work within absolute value bars.

Evaluate absolute values.

Multiply.

= 9 Add.

= 3 + 6

= 3 + 2 # 3

=|- 3 |+ 2 | 3 |

| 4 - 7 |+ 2 | 6 - 3 |

1

3

=

4

12

,

=

8

12

-

4

12

=

8

12

- c

1

12

+

3

12

d

=

8

12

- c

1

12

- a-

3

12

bd

2

3

- c

1

12

- a-

1

4

bd

Be careful!

Multiply first.

NOW TRY
EXERCISE 7
Perform each indicated
operation.

(a)

(b) 3 | 6 - 9 |-| 4 - 12 |

8 - 31 - 3 + 72 - 13 - 924