Printable · GCSE Foundation · ages 14-16
Algebra worksheet — GCSE Foundation
Fifteen questions across the algebra statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Algebra worksheet — GCSE Foundation
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- 1.The formula y = x² + 1 gives y in terms of x. Work out the value of y when x = −2.y = x² + 1
- 2.Solve 2x² − 32 = 0.
- 3.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.
- 4.Work out the value of 2(x + 2) when x = −5
- 5.Expand and simplify 2(a + 6) − 2(a − 7)
- 6.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.
- 7.The graph of y = x² − 5x + 6 crosses the x-axis at two points. By factorising, work out the x-coordinates of these two points.y = x² − 5x + 6
- 8.Solve x² − 5x + 6 = 0 by factorising.
- 9.The graph of y = x² − 2x − 8 takes these values: when x = −2, y = 0; when x = −1, y = −5; when x = 0, y = −8; when x = 3, y = −5; when x = 4, y = 0. Use these values to write down the two solutions of x² − 2x − 8 = 0.y = x² − 2x − 8
- 10.Which expression means the same as a × a × a?
- 11.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
- 12.Two numbers have a sum of 24. Their difference is 6. Work out the two numbers.
- 13.A table of values is being drawn for the graph of y = x³. Work out the value of y when x = −2.y = x
- 14.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
- 15.The nth term of a sequence is 4n − 3. Work out the 7th term of the sequence.
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