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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)
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