Algebra worksheet — GCSE Foundation

1.Write down the expression that means the same as 3 × y × y.

2.For the equation 2x + 3 = 11, and the inequality 2x + 3 > 11, which statement correctly compares their solutions?

3.A graph has equation y = −2x² + 5. Which statement about its shape is correct?

4.A gardener charges a fixed fee of £15 plus £8 for each hour worked. The total charge, £T, for a job lasting h hours is given by T = 15 + 8h. Work out the charge for a job lasting 4 hours, and identify what kind of statement T = 15 + 8h is.

5.A square has sides of length y cm. Write down an expression for the perimeter of the square.

6.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.

7.Write down the gradient of the line with equation y = −x + 3.

8.The solution set of x ≥ −1 is drawn on a number line. Which description of that number line is correct?

9.Work out the gradient of the straight line with equation 2x + y = 8.

10.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.

11.y = 5 − 2x. Work out the value of x when y = 11.

12.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.

13.Which expression is equivalent to 7x − 3(2x − 6)?

14.A sequence starts at 2. Each term after that is found using the rule "double the previous term, then add 1". Work out the 4th term of the sequence.

15.Which expression means 'add 3 to n, then multiply the result by 4'?