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1. Expand (remove the brackets):
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(a) 3(x − 4)
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(b) 9(p − 5)
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(c) 2(q − 3)
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(d) 4(x + 2)
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| (e) 12(x − 4) |
(f) 5(p + 4) |
| (g) 4(x − y + z) |
(h) 7(x − 7) |
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(i) 5(y + z − 3)
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(j) 5(a − b + c)
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(k) 20(z − 3)
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(l) 500(m − n + p)
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2. Expand (remove the brackets):
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(a) -2(x + 3)
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(b) -7(2p − 3q)
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(c) -5(q − 5)
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(d) -4(x + 2)
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(e) -3(y + 6)
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(f) − (2a − b)
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3. Expand (remove the brackets):
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(a) x(x − 3)
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(b) b(2b − 4)
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(c) q(q + 8)
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(d) -2x(x + 3)
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(e) -y(2y + 4)
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(f) 3a(2a − 5)
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4.What is the common factor for each of the following expressions?
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(a) 2x + 4
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(b) 5p + 10
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(c) 25p + 30
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(d) 15c + 30
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(e) q2 − 3q
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(f) 4ax + 8ay + 12az
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5. Factorise, by taking out a common factor:
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(a) 8x − 8y
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(b) 5s − 10t
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(c) 6a + 6b
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(d) 4p + 4q + 4r
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(e) 24p + 24q
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(f) 15x − 20y + 25z
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6. Factorise fully:
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(a) 3x − 6
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(b) 32j + 40
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(c) 25p + 30
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(d) 15c + 6
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(e) 3q − 12
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(f) 6x + 9y + 12z
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7. Factorise fully:
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(a) bx + by
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(b) xy2 + y2
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(c) m2 + mn
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(d) 10a2 + 50ab
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(e) 3q 2 − 12q
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(f) 4x − 8x2
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