Evaluate each expression for the given values. Use the properties of addition.
- 5
1
2
n, when n 3 ^1
4
2. 7 ^1
8
y, when y 0 - 1 ^1
6
r 1 ^2
5
, when r 1 ^3
4
4. k 10
1
1
0
0, when k 14 ^2
3
- 9 ^1
6
^5
6
m, when m^1
2
6. 1 ^1
2
s 6 ^3
4
, when s 1 ^3
8
- 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.
- 5 ^25 3 ^35 6 ^14 10. 8 ^18 4 ^14 5 ^78
- 0 11 ^25 12. 9 ^16 0
- 7 ^12 6 4 ^14 14. 3 ^34 2 ^12 11
- 12 ^14 5 ^18 2 ^12 16. 9 ^12 4 ^37 1 ^14
- (^12 2 ^35 ) 1 ^12 18. 8 ^14 (4^19 ^34 )
- 3 ^12 (1^14 1 ^14 ) 20. (2^15 2 ^15 )(3^23 1 ^14 )
Write and evaluate an expression for each situation.
- 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? - 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? - 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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