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.Solve 2x + 7 = x + 13
- 2.x = 5. Work out the value of 3x² − 4.
- 3.Which expression is equivalent to 5x − (x + 3)?
- 4.The graph of y = mx + 6 passes through the point (−2, 0). Work out the value of m.
- 5.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?
- 6.A straight line passes through the points (2, 5) and (4, 11). Work out the gradient of the line.
- 7.A gym charges a joining fee plus a monthly fee. Anna paid £100 in total after 3 months of membership. Ben paid £160 in total after 6 months of membership (same joining fee and monthly fee as Anna). Work out the monthly fee.
- 8.Solve 6x − 5 = 3x + 13.
- 9.A speed-time graph for a car shows the speed increasing steadily from 5 m/s to 17 m/s over 6 seconds. Work out the acceleration of the car, in m/s².
- 10.Solve the inequality x − 10 < −3.
- 11.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 12.Noah says that y = 3 is the solution of the equation y + 10 = 12. Noah is wrong. Work out the correct value of y.
- 13.y = x + 10. Work out the value of y when x = 0.y = x + 10
- 14.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.
- 15.Which of these numbers is a cube number?
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