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
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- 1.A rectangular garden has length (x + 7) m and width (x − 7) m. Work out an expression for the area of the garden, giving your answer in its simplest form.
- 2.Factorise fully 56x − 24
- 3.Simplify 2a + 3b − a + 2b − b
- 4.Expand 7(a + 8)
- 5.Factorise fully 12x² + 18x.
- 6.Factorise x² − 3x − 10.
- 7.Simplify x + x + 4
- 8.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 9.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 10.Factorise x² − 64.
- 11.Expand 2(x + 12)
- 12.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.
- 13.Expand 4(2x − 3).
- 14.Expand 2(x − 13)
- 15.Simplify 2b − 1 + 2b − 4 + 2b
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