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.Factorise x² − 3x − 10.
- 2.Expand and simplify (x − 3)²
- 3.Simplify 5x + 3y − 2x + y.
- 4.Expand 2(x + 12)
- 5.Factorise fully 5x + 5y − 5
- 6.Expand 4(2x − 3).
- 7.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.
- 8.Expand and simplify 4(2x − 1) − 3(x + 2) − 5x
- 9.Simplify 5a/6 − a/3
- 10.Expand 2(x − 13)
- 11.Expand and simplify 2(a + 6) − 2(a − 7)
- 12.Simplify 2b − 1 + 2b − 4 + 2b
- 13.Factorise fully 56x − 24
- 14.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.
- 15.Factorise fully 12x² + 18x.
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