7th Grade Math

= Step-by-Step Solutions begin on page R1.

Extra Practice begins on page EP2.

Examples 1 and 2 Add or subtract. Write in simplest form.

11. 53 + ^1
    10
    12. 85 + ^1
    4

1313 ^56 - (^) (- 32 ) 14. (^) (- ^7
10
(^) ) - 52

15. 
    
    
    
    • _^1
      15
    
    
    
    

• (^) (- ^3
  5
  (^) ) 16. - ^7
  12


• _^7
  10

17. _^5
    8
    
    
    • ^11
      12
      18. ^7
      9
      
      
      • _^5
        6
      
      
      
      
    
    
    
    


18. 97 - 31 20. ^45 - 61 21. - 94 - ^2
    15


19. _^3
    10

• (^) (- _^1
  4
  (^) )
  Choose an operation to solve each problem. Explain your reasoning. Then
  solve the problem. Write in simplest form.
  Example 3

23. MEASUREMENT Ebony is building a shelf
    to hold the two boxes shown. What is the
    least width she should make the shelf? 4
    5 ft

3

4 ft

24. MEASUREMENT Mrs. Escalante was riding a bicycle on a bike path. After
    riding ^23 of a mile, she discovered that she still needed to travel ^34 of a mile
    to reach the end of the path. How long is the bike path?


25. MEASUREMENT Makayla bought ^14 pound of ham and ^58 pound of turkey.
    How much more turkey did she buy?


26. ANIMALS The three-toed sloth can travel 203 mile per hour while a giant
    tortoise can travel 10017 mile per hour. How much faster, in miles per hour,
    is the giant tortoise?

Simplify.

B 27. _^17 + _ 21 + _ 285 28. _^1

4

+ _ 65 + _^7

12

29. 
    

    61 + (^) ( 32 - ^1
    4
    (^) ) 30. ^56 - (^) ( 21 + ^13 )

    
    


30. 
    

    1 + ^1
    4
    32. 1 - ^58 33. 2 + 32 34. 3 - ^16

    
    


31. 
    

    MONEY Chellise saves ^15 of her allowance and spends ^23 of her allowance at
    the mall. What fraction of her allowance remains?

    
    


32. 
    

    ANALYZE TABLES Pepita and Francisco
    Homework

    
    

Fraction of Time

Pepita Francisco

Math^ _^12

English^ _^23

Science^ _^16 _^38

each spend an equal amount of time on

homework. The table shows the fraction

of time they spend on each subject.

Determine the missing fraction for

each student.

ALGEBRA Evaluate each expression in simplest form if a = ^34 and b = ^56.

3737 _^12 + a 38. b - _^7

10

39. b - a 40. a + b

Lesson 2C Add and Subtract Fractions 149

139_156_C3L2_895130.indd 149 12/31/09 12:37 PM