Algebra worksheet — GCSE Foundation

1.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.

2.Look at the statement 2x + 5 = 17. Considering whether it is an expression, an equation, a formula, or an identity, which classification is correct?

3.a = 2 and b = 5. Work out the value of a²b.

4.Noah says that y = 3 is the solution of the equation y + 10 = 12. Noah is wrong. Work out the correct value of y.

5.A square tile has an area of 144 cm². Work out the side length of the tile.

6.y = 3x − 2. Work out the value of y when x = 4.

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

8.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.

9.Solve x² + 3x − 10 = 0.

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

11.Solve the inequality 5 − x ≤ 2.

12.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?

13.The formula for the perimeter of a rectangle is P = 2(l + w). One rectangle has l = 9 cm and w = 4 cm. A second rectangle has l = 6 cm and w = 5 cm. Work out how many cm greater the perimeter of the first rectangle is than the perimeter of the second.

14.The first four terms of a sequence are 5, 8, 11, 14. Work out an expression, in terms of n, for the nth term.

15.Ethan is 10 years old and his father is 40 years old. Work out how many years ago Ethan's father was seven times as old as Ethan.