1. Substitute numbers into expressions Find and use formulae
Expand and simplify expressions containing brackets
Simplify algebraic expressions by collecting like terms
Expand and simplify expressions with more than 1 bracket
Solve equations that involve brackets
Solve simple linear equations
Solve equations with variables on both sides

2. Expand a single bracket (Level 5c)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
5(a + 3) x
5 x a
+ 5 x 3 5a
+ 15

3. Expand a single bracket (Level 5c)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
4(s + 7) x 4s
+ 28

4. Expand a single bracket (Level 5c)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
3(p + 11) x 3p
+ 33

5. Expand a single bracket (Level 5c)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
8(y + 7) x 8y
+ 56

6. Expand a single bracket (Level 5c/5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
8(2y + 7) x
8 x 2y
+ 7 x 8
16y
+ 56

7. Expand a single bracket (Level 5c/5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
9(4p + 8) x
36p
+ 72

8. Expand a single bracket (Level 5c/5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
11(6a + 5) x
66a
+ 55

9. Expand a single bracket (Level 5c/5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
7(8s + 12) x
56s
+ 84

10. Expand a single bracket (Level 5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
4(t - 3) x
4 x t
- 4 x 3 4t
- 12

11. Expand a single bracket (Level 5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
3(2p - 7) x 6p
- 21

12. Expand a single bracket (Level 5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
5(3f - 8) x
15f
- 40

13. Expand a single bracket (Level 5b)
Expanding Brackets
To expand a bracket, multiply the term outside the bracket by everything inside the bracket x
10(7 – 2e) x 70
- 20e

14. YOUR TURN...... 7 MINUTES!! a) 5(t+2) f) 2(8b+2) k) 6(q+2) p) 5(2+g) =
b) 3(2j+4)
g) 5(9y-3)
l) 8(3e+1)
q) 10(3h+2) = + = = + =
c) 7(k-3)
h) 7(2a-2)
m) 6(r-4)
r) 3(12-z) = - = = - =
d) 6(2w+2)
8(2+k)
n) 5(2u+3)
s) 7(3m+11) = + = = + =
e) 8(p-1)
j) 5(6-2f)
o) 5(4d-2)
t) 4(3-2b) = - = = - =

15. Expand a single bracket (Level 5a)
Extension Questions
1) 7(3k + p – 2)
2) 4(3 – k + 2t)
3) 5(m – 3 + 6p)
4) 4(2 – 5k – 2m)
5) x(x + 3)
6) m(3m a)

16. Expand two brackets and simplify the expression (Level 6c)+
4t + 20
3t + 4t
7t + 41

17. Expand two brackets and simplify the expression (Level 6c)+
5m + 30
2m + 5m
7m + 48

18. Expand two brackets and simplify the expression (Level 6c)+
2d + 10
3d + 2d
5d + 31

19. Expand two brackets and simplify the expression (Level 6c/6b)+
12s + 20
16s + 12s
28s + 68

20. Expand two brackets and simplify the expression (Level 6c/6b)+
12t + 16t
28t + 23

21. Expand two brackets and simplify the expression (Level 6b)+
2p - 8
4p + 2p
6p + 4

22. Expand two brackets and simplify the expression (Level 6b)+
4f - 4
6f + 4f
10f + 20

23. Expand two brackets and simplify the expression (Level 6b)+
2y - 10
3y + 2y
5y + 17

24. Expand two brackets and simplify the expression (Level 6b)+
6y - 10
6y + 6y
12y + 5

25. Expand two brackets and simplify the expression (Level 6b)+
6x - 16
12x + 6x
18x
+ 0

26. Expand two brackets and simplify the expression (Level 6b)+
10c - 16
14c + 10c
24c
+ 2

27. Page 82 – Exercise 6c – Question 4 ONLY!!!
Expand two brackets and simplify the expression (Level 6b)
Page 82 – Exercise 6c – Question 4 ONLY!!!
Page 83 – Extension task – Question 1 only (6a)

28. Expand 4(2s + 5) Expand and simplify 3(2s + 4) + 2(3s + 6)
PLENARY
Simplify 4x x + 9
Expand 4(2s + 5)
Expand and simplify
3(2s + 4) + 2(3s + 6)

29. Find an algebraic expression for the area of these rectangles
CHALLENGE QUESTION!!
Find an algebraic expression for the area of these rectangles