igcse ppt

2. Starter
• Brackets ‘4 in a row’

3. Equations with Brackets
• Today we are going to work on solving Equations with brackets in
• We will solve problems with 1, 2 or even more brackets in
• As these questions are more complicated, it is essential that you
show clear workings!
Learning Objectives
All will be able to multiply out a single bracket in an equation
(Level 5)
Most will then be able to solve the equation after the
expansion (Level 5/6)
Some will be able to expand more than one bracket in one
Equation, and solve it (Level 6)

4. Equations with Brackets
2 + 5 =
x )
( 20
2x + 10 = 20
2x = 10
x = 5
2 + 5 =
x )
( 20
+ 5 =
x 10
= 5
x
Expand the
bracket
Subtract
10
Divide by 2
Divide by 2
Subtract 5

5. Equations with Brackets
3 + 5 =
2x )
( 63
2 - 4
x )
(
+
6x + 15 + 2x - 8 = 63
8x + 7 = 63
8x = 56
x = 7
Expand the 2
Brackets separately
Simplify (collect
‘like terms’)
Subtract 7
Divide by 8

6. Equations with Brackets
4 - 6 =
3x )
( 6 - 20
6x )
(
12x - 24 = 36x - 120
- 24 = 24x - 120
96 = 24x
4 = x
Expand both Brackets
Subtract 12x
Add 120
Divide by 24

7. Plenary
• Just some Equation-y style questions;
6a + 2 = 9
12a + 4 =
3(6a + 2) =
(6a + 2)2 =
√(6a + 2) =
6a + 4 =
18
27
3
81
11

8. Summary
• We have learnt how to efficiently
solve an Equation involving 1 or more
brackets
We have looked at a few SAT-style
questions involving Equations