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
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