1. G Dear ©2009 – Not to be sold/Free to use
Stage 4
Year 8
Equations
Distributive Law
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G Dear ©2009 – Not to be sold/Free to use 1

2. Equations – Distributive Law
a. 2(a + 3) = 2
b. 3(b + 1) = 9
c.7(m + 5) = 42
2a + 6 = 2
3b + 3 = 9
7m + 35 = 42 -6 -6 -3 -3
-35
-35
2a = -4
3b = 6
7m = 7 ÷2 ÷2 ÷3 ÷7 ÷3 ÷7
a = -2
b = 2
m = 1
d. 5(p + 2) = 20
e. 6(q + 1) = 6
f.3(2a + 3) = 27
5p + 10 = 20
6q + 6 = 6
6a + 9 = 27
-10
-10 -6 -6 -9 -9
5p = 10
6q = 0
6a = 18 ÷5 ÷6 ÷6 ÷5 ÷6 ÷6
p = 2
q = 0
a = 3

3. Equations – Distributive Law
a. 2(k - 3) = 2
b. 2(3b + 1) = 8
c.2(2m - 5) = 30
2k - 6 = 2
6b + 2 = 8
4m - 10 = 30 +6 +6 -2 -2
+10
+10
2k = 8
6b = 6
4m = 40 ÷2 ÷2 ÷6 ÷4 ÷6 ÷4
k = 4
b = 1
m = 10
d.5(3p + 2) = 40
e. 2(4q - 1) = 6
f. 3(a + 1) = 27
15p + 10 = 40
8q - 2 = 6
3a + 3 = 27
-10
-10 +2 +2 -3 -3
15p = 30
8q = 8
3a = 24
÷15 ÷8 ÷3
÷15 ÷8 ÷3
p = 2
q = 1
a = 8