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

2. Equations – Many Stepper
Lowest Common Multiple a 6 a 9
= 5
Find the LCM of 6 and 9
Multiple of 6: 6, 12, 18, 24
Multiple of 6: 6, 12, 18, 24
= 5 a 6 9 3 x 2 x
Multiple of 9: 9, 18, 27, 24
Multiple of 9: 9, 18, 27, 24
LCM = 18
= 5 3a 18 2a
= 5 5a 18
x18
x18
5a = 90 ÷5 ÷5
a = 18

3. Equations – Many Stepper
Lowest Common Multiple b 3 b 5
= 2
Find the LCM of 3 and 5
Multiple of 3: 3, 6, 9, 12, 15
Multiple of 3: 3, 6, 9, 12, 15
= 2 b 3 5 5 x 3 x
Multiple of 5: 5, 10, 15, 20
Multiple of 5: 5, 10, 15, 20
LCM = 15
= 2 5b 15 3b
= 2 8b 15
x15
x15
8b = 30 ÷8 ÷8
b = 3.75

4. Equations – Many Stepperb 2 b 3 c 4 c 2 g 2 g 5
a = 2
b = 3
c = 2 2a 3 a 7 h 2 2h 7 3d 8 d 4
d = 1
e = 2
f = 1 2k 3 3k 2 2e 3 e 5 m 4 3m 2
g = 3
h = 1
i = 2 2n 3 n 7 p 2 2p 5 3f 7 3f 5
j = 2
k = 2
l = 2