1. ALGEBRA - generating simple equations
DARTBOARD MATHS
ALGEBRA - generating simple
equations
Dave Carden
Liverpool Maths Team

2. 20
X + 5 = 7 5 x 1 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
X = 2 m 2 y 1 2 3

3. 20
X + 2 = 8 5 x 2 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
X = 6 m 2 y 1 2 3

4. 20
y + 4 = 8 5 x 3 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
y = 4 m 2 y 1 2 3

5. 20
k + 3 = 11 5 x 4 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
k = 8 m 2 y 1 2 3

6. 20
m + 11 = 20 5 x 5 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
m = 9 m 2 y 1 2 3

7. 20
2m + 5 = 11 5 x 6 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
m = 3 m 2 y 1 2 3

8. 20
3m + 5 = 20 5 x 7 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
m = 5 m 2 y 1 2 3

9. 20
2m + 2 = 22 5 x 8 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
m = 10 m 2 y 1 2 3

10. 20
2X + 5 = 15 5 x 9 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
X = 5 m 2 y 1 2 3

11. 20
2K + 11 = 21 5 x 10 2 7 x 2m y 2 4 y 1 k 1 8 2 x 3 5 m
K = 5 m 2 y 1 2 3

12. In these simple equations, x is either 1 , 2 , 3 , 4 or 5
X + 2 = so x =
X + 1 = so x =
X + 4 = so x =
X + 3 = so x =
X - 3 = so x =
X - 1 = so x =
4 - X = so x =
X - 2 = so x =
7 – X = so x =
8 – X = so x =

13. In these simple equations, x is either 1 , 2 , 3 , 4 or 5
X + 2 = so x =
X + 1 = so x = 4
X + 4 = so x = 4
X + 3 = so x =
X - 3 = so x = 4
X - 1 = so x = 5
4 - X = so x = 4
X - 2 = so x = 3
7 – X = so x = 2
8 – X = so x = 3

14. In these simple equations, x is either 1 , 2 , 3 , 4 or 5B
In these simple equations, x is either 1 , 2 , 3 , 4 or 5
2X + 1 = so x =
2X + 2 = so x =
3X - 1 = 5 so x =
4X - 3 = so x =
2X - 3 = so x =
2X - 1 = so x =
4 - 2X = so x =
5X - 2 = so x =
7 – 2X = so x =
8 – 4X = so x =

15. In these simple equations, x is either 1 , 2 , 3 , 4 or 5B
In these simple equations, x is either 1 , 2 , 3 , 4 or 5 2 2
2X + 1 = so x =
2X + 2 = so x = 2
3X - 1 = 5 so x = 2
4X - 3 = so x = 3
2X - 3 = so x =
2X - 1 = so x = 5 2
4 - 2X = so x =
5X - 2 = so x = 3 3
7 – 2X = so x =
8 – 4X = so x = 2

16. C Challenge X – 2 = -1 so x = X – 3 = -1 so x = X – 4 = -2 so x =

17. Challenge 1 2 1 1 3 X – 2 = -1 so x = X – 3 = -1 so x =