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 3x − 1 ≤ 11.
- 2.Which expression is equivalent to 0.5(4x + 6) − x?
- 3.The first five terms of a sequence are 2, 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.
- 4.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.
- 5.Which of these equations is true for every value of x, making it an identity rather than an equation with just one solution?
- 6.Work out the value of n² − n when n = −3
- 7.A rule turns each input x into an output y. The inputs are x = −1, 0, 1, 2 and the matching outputs are y = 5, 3, 1, −1. Work out the rule.
- 8.Work out the value of 2x² when x = −3
- 9.Expand 2(x − 13)
- 10.Kai writes the expression 8 − 3x + 5x² and says it has three terms. Ryan says it only has two terms because a number on its own is not a term. Work out the correct number of terms in the expression.
- 11.Expand and simplify 2(a + 6) − 2(a − 7)
- 12.Factorise x² − 3x − 10.
- 13.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.
- 14.Which expression is equivalent to 3(x + 4) − 2(x − 1)?
- 15.Solve 3x − 5 = 4.
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