Associative and Commutative Properties
Which property is being shown:
5 + (3 + x) = (5 + 3) + x
Associative of Addition
Use the Distributive Property to find the product:
5 • 19
5(10) + 5(9)
50 + 45
95
3(x + 9)
3x + 27
3w + 4 + 5w
8w + 4
Factor 7 + 14 using the GCF
7(1 + 2)
Which property is being shown:
10 • w = w • 10
Commutative of Multiplication
Use the Distributive Property to find the product:
2(97)
2(90) + 2(7)
180 + 14
194
6(7 - y)
42 - 6y
6a + 10 - 4a - 7
2a + 3
Factor 18 - 12 using the GCF.
6(3 - 2)
Which property is being shown:
4 + (1 + 6) = (1 + 6) + 4
Commutative of Addition
Use the Distributive Property to find the product:
8 • 56
8(50) + 8(6)
400 + 48
448
2(6 + 3n)
12 + 6n
Simplify the expression:
5a + 7 - 3a - 2
2a + 5
Factor 2x + 10 using the GCF
2(x + 5)
What property(s) would you use to simplify the expression:
(6 • k) • 2
Commutative of Multiplication
AND
Associative of Multiplication
Use the Distributive Property to find the product:
23(76)
1,748
14n - 56m
Simplify the expression:
2(7 + 5n) - 9
10n + 5
Factor 15m + 35 using the GCF
5(3m + 7)
What property(s) would you use to simplify the expression:
3 + (x + 7)
Commutative of Addition
AND
Associative of Addition
Use the Distributive Property to find the product:
14(231)
3,234
7(4x + 3 - 6w)
28x + 21 - 42w
20a + 28
Factor 10x - 25y using the GCF
5(2x - 5y)