1. © T Madas

2. y 2y + 1 n 3n + 4 double it add 1 2 x y 2 x y + 1 treble it add 4
3 x n
3 x n + 4
© T Madas

3. x x + 7 t t + 3 add 3 add 4 x + 3 x + 3 + 4 add 5 subtract 2 t + 5
© T Madas

4. d 10 + 2d d 2d + 10 double it add to 10 2 x d 10 + 2 x d double it
© T Madas

5. f 16 – 3f f 3f – 16 treble it subtract from 16 3 x f 16 – 3 x f
© T Madas

6. α 10 – 2α k 3k – 1 double it subtract from 10 2 x α 10 – 2 x α
treble it
subtract 1
3 x k
3 x k – 1
© T Madas

7. c + 3 c 2 m – 1 m 4 halve it add 3 c ÷ 2 c ÷ 2 + 3 divide into 4
subtract 1
m ÷ 4
m ÷ 4 – 1
© T Madas

8. z – 7 z 2 z – 7 z 2 halve it subtract 7 z ÷ 2 z ÷ 2 – 7 subtract 7
half it
z – 7
z – 7
÷ 2
© T Madas

9. α 2(α – 1) α 2α – 1 subtract 1 double it α – 1 α – 1 x 2 double it
© T Madas

10. p 2(p + 3) h + 5 h 3 add 3 multiply by 2 p + 3 p + 3 x 2 add 5
divide by 3
h + 5
h + 5
÷ 3
© T Madas

11. n n 2 + 3 q 8 – q 2 multiply by itself add 3 n x n n x n + 3
subtract from 8
q x q
8 –
q x q
© T Madas

12. y 2y 2 v 7 + v 2 multiply by itself double it y x y y x y x 2
add to 7
v x v
7 +
v x v
© T Madas

13. p (p + 1) 2 n 2n 2 + 1 add 1 multiply by itself p + 1 p + 1 x p + 1
square it
double it
add 1
n 2
n 2 x 2
n 2 x 2 + 1
© T Madas

14. k 3k 2 – 2 q 2 q – 3 2 square it treble it subtract 2 k 2 k 2 x 3
halve it
subtract 3
q 2
q 2 ÷ 2
q 2 ÷ 2
– 3
© T Madas

15. c 2 + 5 3 c t 2 2 square it add 5 divide by 3 c 2 c 2 + 5 c 2 + 5 ÷ 3
subtract 3
square it
add 2
t – 3
t – 3 2
t – 3 2
+ 2
© T Madas

16. Quick Test
© T Madas

17. y 2y + 1 n 3n + 4 double it add 1 2 x y 2 x y + 1 treble it add 4
3 x n
3 x n + 4
© T Madas

18. x x + 7 t t + 3 add 3 add 4 x + 3 x + 3 + 4 add 5 subtract 2 t + 5
© T Madas

19. d 10 + 2d d 2d + 10 double it add to 10 2 x d 10 + 2 x d double it
© T Madas

20. f 16 – 3f f 3f – 16 treble it subtract from 16 3 x f 16 – 3 x f
© T Madas

21. α 10 – 2α k 3k – 1 double it subtract from 10 2 x α 10 – 2 x α
treble it
subtract 1
3 x k
3 x k – 1
© T Madas

22. c + 3 c 2 m – 1 m 4 halve it add 3 c ÷ 2 c ÷ 2 + 3 divide into 4
subtract 1
m ÷ 4
m ÷ 4 – 1
© T Madas

23. z – 7 z 2 z – 7 z 2 halve it subtract 7 z ÷ 2 z ÷ 2 – 7 subtract 7
half it
z – 7
z – 7
÷ 2
© T Madas

24. α 2(α – 1) α 2α – 1 subtract 1 double it α – 1 α – 1 x 2 double it
© T Madas

25. p 2(p + 3) h + 5 h 3 add 3 multiply by 2 p + 3 p + 3 x 2 add 5
divide by 3
h + 5
h + 5
÷ 3
© T Madas

26. n n 2 + 3 q 8 – q 2 multiply by itself add 3 n x n n x n + 3
subtract from 8
q x q
8 –
q x q
© T Madas

27. y 2y 2 v 7 + v 2 multiply by itself double it y x y y x y x 2
add to 7
v x v
7 +
v x v
© T Madas

28. p (p + 1) 2 n 2n 2 + 1 add 1 multiply by itself p + 1 p + 1 x p + 1
square it
double it
add 1
n 2
n 2 x 2
n 2 x 2 + 1
© T Madas

29. k 3k 2 – 2 q 2 q – 3 2 square it treble it subtract 2 k 2 k 2 x 3
halve it
subtract 3
q 2
q 2 ÷ 2
q 2 ÷ 2
– 3
© T Madas

30. c 2 + 5 3 c t 2 2 square it add 5 divide by 3 c 2 c 2 + 5 c 2 + 5 ÷ 3
subtract 3
square it
add 2
t – 3
t – 3 2
t – 3 2
+ 2
© T Madas

31. © T Madas

32. © T Madas