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

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

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