1. G Dear ©2009 – Not to be sold/Free to use
Stage 4
Year 7
Equations
Two Steppers
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G Dear ©2009 – Not to be sold/Free to use 1

2. Equations – Two Steppers
To solve equations
add +, subtract - , multiply x or divide ÷
both sides of the equals sign
by the same number
twice

3. Equations – Two Stepper (- ÷)
2d + 7 = 11
2d = 11 -7
2d = 4
2d ÷2 = 4 ÷2
d = 2

4. Equations – Two Stepper (- ÷)
1. 2b + 5 = 11
2. 5g + 6 = 21
2b = 11-5
5g = 21-6
2b = 8
5g = 15
2b÷2 = 8÷2
5g÷5 = 15÷5
b = 4
g = 3

5. Equations – Two Stepper (+ ÷)
3m - 2 = 10
3m – 2+2 = 10 +2
3m = 12
3m÷3 = 12 ÷3
m = 4

6. Equations – Two Stepper (+ ÷)
2. 3f - 6 = 21
2p – 5+5 = 11+5
3f – 6+6 = 21+6
2p = 16
3f = 27
2p÷2 = 16÷2
3f÷3 = 27÷3
p = 8
f = 9

7. Equations – Two Stepper (- x)m 3
+ 2 = 5 m 3
+ 2-2 = 5 -2 m 3
= 3 m 3
x3 = 3 x3
m = 9

8. Equations – Two Stepper (- x)
= 11 b 2
= 5 n 3
+ 5-5 = 11-5 b 2
+ 2-2 = 5-2 n 3
= 6 b 2
= 3 n 3
x2 = 6x2 b 2
x3 = 3x3 n 3
b = 12
n = 9

9. Equations – Two Stepper (+ x)z 2
- 4 = 2 z 2
- 4+4 = 2 +4 z 2
= 6 z 2
x2 = 6 x2
z = 12

10. Equations – Two Stepper (+ x)
= 11 r 2
= 5 d 3
- 5+5 = 11+5 r 2
- 2+2 = 5+2 d 3
= 16 r 2
= 7 d 3
x2 = 16x2 r 2
x3 = 7x3 d 3
r = 32
d = 21

11. Equations – Two Stepper (x -)
z + 2 5
= 3
z + 2 5 x5
= 3 x5
z = 15 -2
z = 13

12. Equations – Two Stepper (x -)2
w + 6 5
= 11
= 4
r + 4 2
w + 6 5 x2
= 11 x2 x5
= 4 x5
r + 4 = 22
w + 6 = 20
r = 22-4
w = 20-6
r = 18
w = 14

13. Equations – Two Stepper (x +)4
= 2
a - 3 4 x4
= 2 x4
a – 3+3 = 8 +3
a = 11

14. Equations – Two Stepper (x +)
b - 5 2
m - 7 3
= 8
= 1
b - 5 2
m - 7 3 x2
= 8 x2 x3
= 1 x3
b - 5 = 16
m - 7 = 3
b – 5+5 = 16+5
m – 7+7 = 3+7
b = 21
m = 10