Starter

Multiply the following

1. 2a x 3b

2. 3s x 4t

3. 4d x 6d

4. 3a x a x b

5. 5y x 4z x y

Expanding brackets

Learning Objectives:

To be able to expand brackets in

algebra.

Key Words Expanding

Expression

Algebra

brackets

L.O : To be able expand brackets in algebra.

2(3a+2)

2 (3a+2) = 6a +4

L.O : To be able expand brackets in algebra.

3(2b+1)

3 (2b+1) = 6b +3

L.O : To be able expand brackets in algebra.

5(4t+5s)

5 (4t+5s) = 20t +25 s

L.O : To be able expand brackets in algebra.

3(2d-3e)

3 (2d-3e) = 6d -9e

L.O : To be able expand brackets in algebra.

7a(2b-3c)

7a (2b-3c) = 14ab -21ac

Expand the following brackets

1. 4(2a+4)

2. 5(3b-c)

3. 3(4b-2c)

4. 6(3h-4k)

5. 8( 3r-2q-s)

L.O : To be able expand brackets in algebra.

Expand the following

brackets

1. 4(2a+4)

2. 5(3b-c)

3. 3(4b-2c)

4. 6(3h-4k)

5. 8( 3r-2q-s)

Answer

1. 8a+16

2. 15b-5c

3. 12b-6c

4. 18h-24k

5. 24r-16q-8s

Further Expansion

Expanding brackets and

simplifying Expand and simplify: 2(3n – 4) + 3(3n + 5)

We need to multiply out both brackets and collect together

like terms.

6n – 8 + 9n + 15

= 6n + 9n – 8 + 15

= 15n + 7

2(3n – 4) + 3(3n + 5) =

We need to multiply out both brackets and collect together

like terms.

15a + 10b – 2a – 5ab

= 15a – 2a + 10b – 5ab

= 13a + 10b – 5ab

Merit Question 5 Minutes

5(3a + 2b) – a(2 + 5b) =

Expand and simplify: 5(3a + 2b) – a(2 + 5b)

Plenary

Expand the following brackets, write your answer using the mini white board.

2( 3y+3)

6y+6

3(5t-2q)

15t-6q

5(p-2r)

5p-10r

3s(2t-u-4v)

6st-3su-12sv

8a(3d+2e-5f)

24ad+16ae-40af