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.
part Higher
Simplifying, expanding and factorising worksheet — GCSE Foundation
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- 1.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.
- 2.Simplify 5x + 3y − 2x + y.
- 3.Expand 7(a + 8)
- 4.Simplify x + x + 4
- 5.Factorise fully 5x + 5y − 5
- 6.Simplify (5x² + 3x − 2) − (2x² − x + 5)
- 7.Simplify 2b − 1 + 2b − 4 + 2b
- 8.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.
- 9.Simplify 2a + 3b − a + 2b − b
- 10.Expand 4(2x − 3).
- 11.Factorise x² − 64.
- 12.Expand 2(x − 13)
- 13.Expand and simplify 2(a + 6) − 2(a − 7)
- 14.Expand and simplify (x − 3)²
- 15.Expand 2(x + 12)
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