Download PC_Commutative, Associative,Distributive worksheet

Associative, Commutative, and Distributive Properties
Name:_____________________________________Period:________Date:_________
Write an equivalent numerical expression for each using the Commutative and
Associative Properties. Then determine the sum or product.
Example: 7 + 3 + 8
(7 + 3) + 8 = 10 + 8
= 18
1. 4.2 + 6.8 + 12.5
2. 5 x 6 x 4
3. 3.8 + 4.2
4. 4 x 6.2
Use the Distributive Property to write an equivalent expression and then simplify.
Example: 7(4 + y)
(7 x 4) + (7 x y)
28 + 7y
1. 2(y + 4.5)
2. 5(4 - 3a)
3. 3(4b + 3c)
4. 6(1/2y + 12)
7(4 + y) is equivalent to 28 + 7y
Associative, Commutative, and Distributive Properties
Simplify the following expressions using the Distributive Property and then combine like
terms to create an equivalent expression. (Like terms are terms that have the same
variable)
Example: 2(a + 10) + 5a - 6
2a + 20 + 5a - 6
7a + 14
1. 5(3a + 2) + a + 4
2. 3a + 6b + 4(2a + 1/2b)
3. 3 + y+y+y +2(w -1)
4. 2(6m + 3 - 2m -2)
5. (2.5y + 6)5
6. 1/4(8c + 16)
7. 5(y + .5) + 8(x - .2)
8. 4(2a + b + b) - 2b - 15
9. 3/8(16y - 48) + 3y
10. 3c - 4 + c + 2(4 - c) - 1
2(a + 10) = 5a - 6 is equivalent to 7a + 14
Associative, Commutative, and Distributive Properties