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.A student solves the simultaneous equations 2x + y = 11 and x − y = 1 by elimination, adding the two equations together. Which of these is the correct result of that step?
- 2.Write down the gradient of the line with equation y = −x + 3.y = −x + 3
- 3.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 4.The simultaneous equations x = 2 and x + y = 9 are given. Work out the value of y.
- 5.A currency conversion graph shows that £4 is equivalent to 5 US dollars. Use this to work out how many US dollars are equivalent to £24.
- 6.p = 4. Work out the value of 2p³.
- 7.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
- 8.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.
- 9.Simplify p + p + p.
- 10.Solve the inequality 2(x − 1) ≤ 8.
- 11.Which of these numbers is a cube number?
- 12.The point B has coordinates (−2, −2). In which quadrant is B?
- 13.Which of these values of x is a solution of x² + 2x − 15 = 0?
- 14.Solve the inequality 2(3x − 1) ≥ 4x + 8.
- 15.Solve (2x + 1)/3 = 5
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