name
period
honors 7
associative property of + and x
1] Use the Commutative Property of Addition to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
2] Use the Associative Property of Addition to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
3 + 7 x (4 x 5)
3 + 7 x (4 x 5)
3] Use the Commutative Property of Multiplication to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
4] Use the Associative Property of Multiplication to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
5] Use the Commutative Property of Addition to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
6] Use the Associative Property of Addition to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
3 + 7 x (4 x 5)
3 + 7 x (4 x 5)
4 + (8 + 3 x 5)
4 + (8 + 3 x 5)
7] Use the Commutative Property of Multiplication to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
8] Use the Associative Property of Multiplication to change this expression:
- if you cannot, just write “can’t”
- is there a second way you can use the property?
4 + (8 + 3 x 5)
4 + (8 + 3 x 5)
More 
9] Use the Commutative Property of Addition and the Associative Property of Addition to create Equivalent
Expressions that use the same numbers and operations. Create as many as is possible.
A + (B + C)
10] Use the Commutative Property of Multiplication and the Associative Property of Multiplication to create
at least five different Equivalent Expressions that use the same numbers and operations.
1 + 5 x (2 x 9) + 6
11] In the last problem, you were only allowed to use the Commutative and Associative Properties of
Multiplication. You are now ALSO allowed to use the Commutative and Associative Properties of Addition.
There are ways to rearrange the numbers and operations into an equivalent expression that would be easier to
work with. Find one way.
12] Use two or three sentences to compare the Commutative Property of Multiplication and the Associative
Property of Multiplication. You may include an example (the example does not count as a sentence).