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FactorisingLearning Objective:

-to be able to expand and factoriselinear expressions

Tracking CGrade C

Key words: linear expression, expand, factorise

Challenge: can you answer these grade C questions?

a)Find the HCF of 8 and 12

b)Find the LCM of 12 and 15

c)Find the unique prime factor decomposition of 24

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2 (x + 3)

a) 2x + 3

b) 2x + 6

c) x + 6d) x + 3

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4 (2x 3)

a) 8x 12

b) 2x 12

c) 8x - 1d) 8x + 1

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3 (3x 8)

a) 6x 5

b) 9x 24

c) 9x 5d) 6x - 24

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4 ( 2 x)

a) 8 x

b) 2 4x

c) 8 4xd) 8 + 4x

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p (p + 1)

a) 2p + 1

b) 2p + p

c) p2

+ 1d) p2 + p

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2x + 6

a) 2 (x + 6)

b) x (2 + 6)

c) 2 (x + 3)d) 6 (x + 1)

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10x + 5

a) 5 ( 2x + 1)

b) 5 (2x + 5)

c) 10 (x + 1)d) 10 (x + 2)

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6x - 9

a) 6 (x 9)

b) 2 (x + 9)

c) 3 (2x 3)d) 3 (2x + 3)

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12x - 18

a) 6 (x 3)

b) 6 (2x 3)

c) 6 (2x + 3)d) 2 (6x 9)

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14 4x

a) 14 (1 4x)

b) 2 (7 4x)

c) 2 (7 2x)d) 4 (10 x)

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Extension Questions

Have you improved from last time?

Can you get these 3 questions right?

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pq + q2

a) pq (1 + p)

b) q (p + 1)

c) p (q + q)d) q (p + q)

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3p + 2pq + 4p2

a) p (3 + q + p)

b) p (3qp)

c) 1 (3p + 2q + p)d) 24p (1 + q + p)

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2p + 12pq 4p2

a) p (2 + 6q 4p)

b) 2p (p + 3q 2p)

c) 2p (2 + 6q 4p)d) 2p (2 + 6q + 2p)