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 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.
- 2.The graph of y = x² − 5x + 6 crosses the x-axis at two points. By factorising, work out the x-coordinates of these two points.y = x² − 5x + 6
- 3.Solve 2(x + 3) = 10
- 4.The equation 3(2x − 1) = 4x + 9 is rearranged by expanding the brackets. Which of these is the correctly expanded equation?
- 5.To solve 6x − 4 = 2x + 20, Yusuf's first step is to subtract 2x from both sides. Work out what equation this gives.
- 6.Solve 5x² − 15x = 0.
- 7.A cycle route is 84 km long. Freya sets off along it at a steady 14 km/h. Write down the function for the distance y, in kilometres, that is still to be cycled after x hours.
- 8.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?
- 9.Work out the value of 3b − 4 when b = 6
- 10.Work out the value of 5y + 9 when y = 0
- 11.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 12.A number machine multiplies its input by 2 and then subtracts 5. Work out the output when the input is 6.
- 13.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.
- 14.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 15.A company's profit was £2000 in its first year. Each following year, the profit increases by £800. Work out the first year in which the profit is more than £7000.
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