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 point has coordinates (x, y). In which two quadrants is the product x × y positive?
- 2.Solve the inequality 3x + 6 ≤ 0.
- 3.A mobile phone plan charges a fixed monthly fee plus an amount for each gigabyte of data used. The total cost £C for using g gigabytes in a month is given by C = 15 + 2g. What does the number 2 represent in this formula?
- 4.A cinema sells adult tickets and child tickets. On one evening, 40 tickets are sold in total. There are 8 more adult tickets sold than child tickets. Work out the number of child tickets sold.
- 5.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 6.The first four terms of a sequence are 4, 6, 8, 10. Work out an expression, in terms of n, for the nth term.
- 7.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 8.A rule multiplies the input by a fixed number and then adds a fixed number. An input of 1 gives an output of 5, and an input of 3 gives an output of 11. Work out the rule, writing the input as x and the output as y.
- 9.A geometric sequence starts at 3, and each term after that is found by multiplying the term before it by 2. Write down the first four terms.
- 10.Solve 3x − 5 = 4.
- 11.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 12.Which of these is an identity?
- 13.The first four terms of a sequence are 11, 18, 25, 32. Ravi thinks the nth term is 7n. Work out the correct expression for the nth term.
- 14.Simplify 5x + 3y − 2x + y.
- 15.Solve (2x + 1)/3 = 5
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