Shape, Area,

Symbols and Algebra

Expanding brackets

• Aims. To be able to expand brackets in algebra.

Key Words• Expanding

• Expression

• Algebra

• brackets

Starter Clouding the

picture

12x + 20y

12x – 6y + 26y

8x + 4x+ 22y – 2y

Complete your diagramComplete your diagram8x + 6x – 2x + 22y – 2y

Starter 2

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

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

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

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)

PlenaryExpand 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