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Expansion andSimplification

By the end of this lesson you will:

- expand and simplify expressions

- find rules for factorisation

Grade C

Key words: expand, simplify, expression, factorise

Challenge: What is a more simple way of expressing this

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Collecting LikeTerms Speed

Test

There are 8 questions- 20 secondseach

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Question 1

a + a + a + a + a

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Question 2

a + b + a + b + a + b

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Question 3

2a + a + 2a + a

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Question 4

3a + 2b + c + a + b + c

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Question 5

5e 2e + e

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Question 6

2f + 2g f + 5g

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Question 7

12 x 3e

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Question 8

45r 9

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Answers

1. 5a2. 3a + 3b3. 6a4. 4a + 3b + 2c5. 4e6. f + 7g7. 36e8. 5r

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Brackets

2 (2a + 3) means 2 lots of 2a + 3

ie. (2a + 3) + (2a + 3)

3 (12 - 2e) means 3 lots of (12 - 2e)

ie. (12 - 2e) + (12 - 2e) + (12 - 2e)

39 (a + 1) means

There must be a quicker way to work this out!

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4 (2a + 6)

2a + 6

4

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3 (2a + 2)

2 ( 5a 1)

-2 (2a + 7)

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Try it for yourself

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