1. For each expression below, indicate whether or not you could simplify it using the distributive property.
- 3(4 + y): Yes
- 7(x ÷ 2): No
- (z + 6) - 7: No
- (c - 2) • 6: Yes
- c - 2 • 6: No
- 5(5 - 5h): Yes
- 9(a + k + g): Yes
- 9 + (a + k + g): No
2. Simplify each expression below using the distributive property.
a. 9(3 + 4) = 27 + 36 = 63
b. (6 - 2) • 3 = 18 - 6 = 12
c. 7 • (6 + 5 - 8) = 42 + 35 - 56 = 21
d. (7 + y) • 2 = 14 + 2y
e. 4(5 + 3g) = 20 + 12g
f. 6(4 - w) = 24 - 6w
g. (3f - 6) • 9 = 27f - 54
h. (9 + 8a - 4r) • 4 = 36 + 32a - 16r
i. 7 • (3 - 12v) = 21 - 84v
j. 4.6(3x + 2) = 13.8x + 9.2
k. 1/2(10 - 14h) = 5 - 7h
l. 1/3(1/2n + 3/4) = 1/6n + 1/4
Parent Tip: Review the logic above to help your child master the concept of distributive property practice worksheet.
