Printable · GCSE Foundation · ages 14-16

Simplifying, expanding and factorising worksheet — GCSE Foundation

Fifteen questions on "simplifying, expanding and factorising" — DfE statement A4. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Simplifying, expanding and factorising worksheet — GCSE Foundation

Maths · GCSE Foundation · A4 · Simplifying, expanding and factorising · 15 questions

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1.Factorise x² − 64.
(a)(x − 4)(x + 16)
(b)(x − 8)(x − 8)
(c)(x + 8)(x + 8)
(d)(x − 8)(x + 8)
2.Simplify 2b − 1 + 2b − 4 + 2b
(a)6b − 5
(b)6b − 3
(c)6b + 5
(d)8b − 5
3.A rectangle has length (2x + 5) cm and width (x − 2) cm. Work out an expression, in terms of x, for the perimeter of the rectangle. Give your answer in its simplest form.
(a)4x² + 2x − 20
(b)6x + 6
(c)6x + 14
(d)3x + 3
4.Expand 4(2x − 3).
(a)2x + 1
(b)8x + 12
(c)8x − 12
(d)8x − 3
5.Simplify 5a/6 − a/3
(a)7a/6
(b)2a/3
(c)4a/3
(d)a/2
6.Simplify (5x² + 3x − 2) − (2x² − x + 5)
(a)3x² + 4x + 3
(b)3x² + 2x + 3
(c)7x² + 2x + 3
(d)3x² + 4x − 7
7.Expand 7(a + 8)
(a)a + 56
(b)7a + 15
(c)7a + 8
(d)7a + 56
8.Simplify 2a + 3b − a + 2b − b
(a)a + 4b
(b)a + 6b
(c)5ab
(d)3a + 4b
9.Expand and simplify 2(a + 6) − 2(a − 7)
(a)13
(b)4a − 2
(c)−2
(d)26
10.Factorise x² − 3x − 10.
(a)(x − 10)(x + 1)
(b)(x − 5)(x + 2)
(c)(x + 5)(x − 2)
(d)(x − 5)(x − 2)
11.Expand and simplify (x − 3)²
(a)x² + 6x + 9
(b)x² − 9
(c)x² − 3x + 9
(d)x² − 6x + 9
12.Factorise fully 56x − 24
(a)8(7x − 16)
(b)8(56x − 3)
(c)8(7x + 3)
(d)8(7x − 3)
13.Simplify x + x + 4
(a)x² + 4
(b)6x
(c)x + 4
(d)2x + 4
14.Factorise fully 5x + 5y − 5
(a)5(xy − 1)
(b)5(x + y + 1)
(c)5(x + y − 1)
(d)5(x + y − 5)
15.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
(a)−10
(b)5x − 10
(c)2
(d)−7

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