6th Grade Math Textbook, Progress

Evaluate each expression for the given values. Use the properties of addition.

1. 5
   
   1
   2
   
   n, when n 3
   ^1
   4
   
   2. 7
   ^1
   8
   
   y, when y 0


2. 1
   ^1
   6
   
   r 1
   ^2
   5
   
   , when r 1
   ^3
   4
   
   4. k 10
   
   1

1

0


0, when k 14 
^2

3

5. 9
   ^1
   6
   
   
   ^5
   6
   
   m, when m
   ^1
   2
   
   6. 1
   ^1
   2
   
   s 6
   ^3
   4
   
   , when s 1
   ^3
   8
   
   


6. f 1
   ^3
   5
   
   g, when f 2
   ^1
   4
   
   and g 5
   ^1
   2
   
   8. 5  3
   ^3
   8
   
   d 2
   ^5
   8
   
   , when d 6
   ^1
   6
   
   

Simplify each expression. Use mental math and the properties of addition.

9. 5
   ^25
    3
   ^35
    6
   ^14
   10. 8
   ^18
    4
   ^14
    5
   ^78
   


10. 0  11
    ^25
    12. 9
    ^16
     0


11. 7
    ^12
     6  4
    ^14
    14. 3
    ^34
     2
    ^12
     11


12. 12
    ^14
     5
    ^18
     2
    ^12
    16. 9
    ^12
     4
    ^37
     1
    ^14
    


13. (
    ^12
     2
    ^35
    ) 1
    ^12
    18. 8
    ^14
    (4
    ^19
    
    ^34
    )


14. 3
    ^12
    (1
    ^14
     1
    ^14
    ) 20. (2
    ^15
     2
    ^15
    )(3
    ^23
     1
    ^14
    )

Write and evaluate an expression for each situation.

21. A stock started at 16
    
    1
    4
    
    points.
    It gained 3
    
    2
    3
    
    points and then
    lost some points. If the stock
    lost 2
    
    1
    2
    
    points, how many
    points is the stock worth?


22. Rich’s photo album has 3
    1
    5
    2
    
    pages of
    family photos, some pages of photos of
    pets, and 6
    
    1
    2
    
    pages of photos of friends.
    If there are 1
    
    1
    3
    
    pages of photos of pets,
    how many pages are there altogether?


23. Anton used 1
    
    2
    3
    
    c of milk to make cupcakes and
    ^4
    5
    
    c to make cookies.
    If he used 2
    
    1
    3
    
    c for bread, how much milk in all did he use?

a. 1 


2

3



^4

5


 2 
^1

3


 b. 1 
^2

3



^4

5


 2 
^1

3

c. 2 


1

3


 1 
^2

3



^4

5


 d. 1 
^2

3



^4

5


 2 
^1

3

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