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 5(x + 3) = 40
- 2.In which quadrant does the point (−3, 0.5) lie?
- 3.For the graph of y = 1/x, where x cannot be zero, which of these statements is correct?
- 4.Simplify x + x + 4
- 5.An equation has exactly one value of x that makes it true, but an identity is true for every value of x. Which of these best explains why 3x + 5 = 20 is an equation rather than an identity?
- 6.Work out the coordinates of the reflection of (6, −3) in the y-axis.
- 7.Solve the inequality 2(3x − 1) ≥ 4x + 8.
- 8.A tree is 2 metres tall. Each year its height increases by 10% of its height at the start of that year. Work out the height of the tree after 3 years, giving your answer to 1 decimal place.
- 9.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 10.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.
- 11.Solve 3(2x − 1) = 27
- 12.Work out the value of 4p² − 3 when p = 2.5
- 13.A rule turns each input x into an output y. The inputs are x = 0, 1, 2, 3 and the outputs are y = 4, 7, 10, 13. Work out the output when x = 5.
- 14.A geometric sequence has first term 5, and each term after that is 3 times the term before it. Work out the first term of the sequence that is greater than 1000.
- 15.The area of a triangle is given by the formula A = bh/2, where b is the base and h is the height. Make h the subject of the formula.
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