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.
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Algebra worksheet — GCSE Foundation
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- 1.Solve the inequality x + 5 < 12.
- 2.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 3.The point B has coordinates (−2, −2). In which quadrant is B?
- 4.Make b the subject of the formula a = 5b.
- 5.y = x + 4. Work out the value of y when x = 3.y = x + 4
- 6.Here are the first five terms of an arithmetic sequence: 4, 7, 10, 13, 16. Work out the 9th term.
- 7.Work out the value of 3n − 2 when n = 1
- 8.Write down the expression that means the same as m × m × m × n.
- 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.The formula for the profit, £P, made on an item is P = S − C, where S is the selling price and C is the cost price. Make S the subject of the formula.
- 11.Solve the inequality 2(x − 1) ≤ 8.
- 12.Work out the value of 2x² when x = −3
- 13.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 14.A sequence begins at 7. Each term after the first is found by adding 6 to the term before it. Work out the 6th term of the sequence.
- 15.Which of these equations is true for every value of x, making it an identity rather than an equation with just one solution?
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