1. Equations Objectives for today’s lesson : Substitution
Expanding brackets

2. Substitution a = 4, b = 2 a = 5, b = -1 3a + 2b a = 3, b = 6

3. Substitution a = 4, b = 2 16 a = 5, b = -1 13 3a + 2b a = 3, b = 6 2140

4. Expanding Brackets Example 3(x + 4) = 3x + 12
Multiply everything in the bracket by the number outside.

5. Expanding Brackets Example 3(x + 4) = 3x + 12 4(x + 5) 6(2x + 4)
Multiply everything in the bracket by the number outside.
4(x + 5)
6(2x + 4)
3(9x – 2)
x(x + 1)

6. Expanding Brackets Example 3(x + 4) = 3x + 12 4(x + 5) 4x + 20
Multiply everything in the bracket by the number outside.
4(x + 5) 4x + 20
6(2x + 4) 12x + 24
3(9x – 2) 27x - 6
x(x + 1) x2 + x

7. Do the first column from each section.
Question Practice
Do the first column from each section.
For the first section you have to collect ‘like terms’ together.
Examples: 4a + 5a = 9a
2d – 5d = -3d