Algebra worksheet — GCSE Foundation

1.Write down the expression that means the same as m × m × m × n.

2.A statement contains an equals sign and one unknown letter, and it is only true for particular value(s) of that letter. What is this type of statement called?

3.The braking distance of a car, in metres, is estimated using the formula d = 0.4v² + 6, where v is the speed in mph. A car travelling at 35 mph brakes. Work out the estimated braking distance.

4.Oliver has m stickers and gives 5 of them away. The number he has left is L = m − 5. Work out L when m = 8.

5.A rectangular garden has width w metres and length (w + 3) metres. A gardener writes its perimeter as 2w + 3. Which statement corrects the gardener's mistake?

6.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.

7.The first five terms of a sequence are 6, 10, 14, 18, 22. Work out an expression, in terms of n, for the nth term.

8.The first five terms of a quadratic sequence are 2, 5, 10, 17, 26. Work out the next term in the sequence.

9.The first four terms of a sequence are 4, 9, 14, 19. Work out an expression, in terms of n, for the nth term.

10.Work out the gradient of the straight line with equation y = (2x/5) − 3.

11.A number machine adds 5 to its input. Work out the output when the input is 0.

12.Solve x/4 + 1 = 3

13.A mobile phone tariff charges a fixed £15 plus 20p for every minute of calls made, so the total monthly charge, £C, for m minutes of calls is given by C = 15 + 0.2m. In a month where Ali's charge was £46.60, work out how many minutes of calls he made.

14.Write down the number of terms in the expression 4x² − 7x + 3.

15.Write down the gradient of the line with equation y = 7x − 2.