1. Created by Mr. Lafferty Maths Dept.
Algebra
Revision of Like Terms
Revision of Removing Brackets
Factorising
16-Jan-19
Created by Mr. Lafferty Maths Dept.

2. Created by Mr. Lafferty Maths Dept.
Starter Questions
2cm
3cm
6cm
2cm
16-Jan-19
Created by Mr. Lafferty Maths Dept.

3. Created by Mr. Lafferty Maths Dept.
Algebra
Simplifying Algebraic Expressions
Learning Intention
Success Criteria
We are learning to simplify terms.
Understand the techniques for simplifying terms.
2. Be able too simplify algebraic expressions.
16-Jan-19
Created by Mr. Lafferty Maths Dept.

4. Created by Mr. Lafferty Maths Dept.
Algebra
Simplifying Algebraic Expressions
Collecting LIKE terms
- m + a
1 + 4g
(NOT 5g )
7 k2
(NOT 7k6)
16-Jan-19
Created by Mr. Lafferty Maths Dept.

5. Created by Mr. Lafferty Maths Dept.
Algebra
Simplifying Algebraic Expressions
Multiplying Terms
6 d
4 h e2
(NOT 2e ) 8 a2
(NOT 8a)
16-Jan-19
Created by Mr. Lafferty Maths Dept.

6. Created by Mr. Lafferty Maths Dept.
Algebra
Simplifying Algebraic Expressions
Dividing Terms 4 e 3
16-Jan-19
Created by Mr. Lafferty Maths Dept.

7. Created by Mr. Lafferty Maths Dept.
Algebra
Removing Brackets
Now try TJN4+
Ex 5.1
Ch5 (page 31)
16-Jan-19
Created by Mr. Lafferty Maths Dept.

8. Created by Mr. Lafferty Maths Dept.
Starter Questions 2a 6h
100o
60o
16-Jan-19
Created by Mr. Lafferty Maths Dept.

9. Created by Mr. Lafferty Maths Dept.
Algebra
Removing brackets
Learning Intention
Success Criteria
1. We are learning how to multiply out simply algebraic brackets and collecting like terms.
Understand the key steps in removing brackets and simplifying.
2. Apply multiplication rules for positive and negative numbers when removing brackets.
16-Jan-19
Created by Mr. Lafferty Maths Dept.

10. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example
3(b + 5) = 3b
+ 15
Example
4(w - 2) = 4w
- 8
16-Jan-19
Created by Mr.

11. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example
a(b + 5) = ab
+ 5a
Example
p(w - 2) = pw
- 2p
16-Jan-19
Created by Mr.

12. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example
y(y - 1) = y2
- y
Example
7w(w - 3) =
7w2
- 21w
16-Jan-19
Created by Mr.

13. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example
a(a2 + 3b) = a3
+ 3ab
Example
y2(3y -2c) =
3y3
- 2cy2
16-Jan-19
Created by Mr.

14. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example
-(x + y) = -x
- y
Example
-5(a - 7) =
-5a
+ 35
16-Jan-19
Created by Mr.

15. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Tidy Up
Example
7 + 3(4 - y) =
7 + 12
- 3y
= y
Tidy Up
Example
9 - 3(8 - y) = 9
- 24
+ 3y
= y
16-Jan-19
Created by Mr.

16. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example 12 10
Find my Area
Find my Area x
(x - 2)
A = L x B
A = L x B
A = 10(x – 2)
A = 12x
16-Jan-19
Created by Mr.

17. Removing Two Single Brackets
Tidy Up
Example
4(m - 3) - (m + 2) =
4m - 12
- m - 2
= 3m - 14
Tidy Up
Example
7(y - 1) - 2(y + 4) =
7y - 7
- 2y - 8
= 5y - 15
16-Jan-19
Created by Mr.

18. Created by Mr. Lafferty@mathsrevision.com
Removing a
Single Bracket
Example : Find area of the orange border 12
Area =Big Rec – Small Rec 10 x
(x - 2)
= 12x – 10(x - 2)
= 12x
-10x
+ 20
= 2x + 20
16-Jan-19
Created by Mr.

19. Removing Two Single Brackets
Example : Find an expression for the difference in
the areas.
(y - 5)
A = 4(y – 5) 7 4
A = 7(y - 4)
(y - 4)
Diff = 3 x 14 – 8
= 34
Calculate difference if y = 14
Difference = 7(y - 4) - 4(y – 5)
= 7y - 28
- 4y + 20
= 3y - 8
16-Jan-19
Created by Mr.

20. Removing Two Single Brackets
Example : Find an expression for the difference in
the areas.
(x + 1)
A = 7(x + 1) 9 7
A = 9(x + 3)
x + 3
Diff = 2 x
=28
Calculate difference if x = 4
Difference = 9(x + 3) - 7(x + 1)
= 9x + 27
– 7x - 7
= 2x + 20
16-Jan-19
Created by Mr.

21. Created by Mr. Lafferty Maths Dept.
Algebra
Removing Brackets & Simplifying
Question : Find the area of the large rectangle, then the small
rectangle and hence find the area of the red section. x
x-3
Ab= 6x 6 4
As= 4(x - 3)
= 4x
- 12
As= 6x - 4(x - 3)
= 6x
- 4x
+ 12
= 2x + 12
16-Jan-19
Created by Mr. Lafferty Maths Dept.

22. Created by Mr. Lafferty Maths Dept.
Algebra
Removing Brackets
Now try TJN4+
Ex 5.2
Ch5 (page 32)
16-Jan-19
Created by Mr. Lafferty Maths Dept.

23. Created by Mr. Lafferty@mathsrevision.com
Starter Questions
Q1. Expand out a (4y – 3x) -2y
Q2. Write out in full
Q3. True or False all the factors of 5x2 are
1, x, 5
16-Jan-19
Created by Mr.

24. Created by Mr. Lafferty@www.mathsrevision.com
Factorising
Using Factors
Learning Intention
Success Criteria
To show how to factorise terms using the Highest Common Factor and one bracket term.
To identify the HCF for given terms.
Factorise terms using the HCF and one bracket term.
16-Jan-19
Created by Mr.

25. Factorising Example Factorise 3x + 15 1. Find the HCF for 3x and 15 3
Check by multiplying out the bracket to get back to where you started
Factorising
Example
Factorise 3x + 15
1. Find the HCF for 3x and 15 3
2. HCF goes outside the bracket
3( )
To see what goes inside the bracket
divide each term by HCF
3x ÷ 3 = x
15 ÷ 3 = 5
3( x + 5 )
16-Jan-19
Created by Mr.

26. Factorising 2(x2- 2xy +3) Example Factorise 2x2 – 4xy + 6
Check by multiplying out the bracket to get back to where you started
Factorising
Example
Factorise 2x2 – 4xy + 6
1. Find the HCF for 2x2, 4xy and 6 2
2. HCF goes outside the bracket
2( )
To see what goes inside the bracket
divide each term by HCF
2x2 ÷ 2 = x2
6 ÷ 2 = 3
4xy ÷ 2 = 2xy
2(x2- 2xy +3)
16-Jan-19
Created by Mr.

27. Created by Mr. Lafferty@mathsrevision.com
Factorising
Factorise the following :
3x + 6
4xy – 2x
3( )
x + 2
2x( )
2y - 1
16-Jan-19
Created by Mr.

28. Created by Mr. Lafferty@mathsrevision.com
Factorising
Factorise the following :
6a + 18a2
pq – pr
6a( )
1 + 3a
p( )
q - r
16-Jan-19
Created by Mr.

29. Created by Mr. Lafferty@mathsrevision.com
Factorising
Factorise the following :
6xy – 8xz + 2x
3p2 – 12pb
2x( )
3y – 4z + 1
3p( )
p – 4b
16-Jan-19
Created by Mr.

30. Created by Mr. Lafferty Maths Dept.
Algebra
Removing Brackets
Now try TJN4+
Ex 5.3
Ch5 (page 33)
16-Jan-19
Created by Mr. Lafferty Maths Dept.