Answer:
Example of the distributive property: a(b + c) = ab + ac
Question #1:
a) 6(3a + 2) = 18a + 12
b) 2(7 - 5y) = 14 - 10y
c) 3(r + 1/3) = 3r + 1
d) 8(2m - 3/8) = 16m - 3
e) 5(x/5 + 4) = x + 20
Question #2:
a) 3y + 1/4 = 4
4 (3y + 1/4) = 4 (4)
12y + 1 = 16
b) x/6 + 7 = 10
6 (x/6 + 7) = 6 (10)
x + 42 = 60
c) 11/3 - 4c/3 = 2
3 (11/3 - 4c/3) = (3) 2
11 - 4c = 6
d) 2n - 1 = 1/2
2 (2n - 1) = 2 (1/2)
4n - 2 = 1
e) r/2 + 8 = 1/2
2 (r/2 + 8) = 2(1/2)
r + 16 = 1
Hope this helped!