Algebra worksheet — GCSE Foundation

1.A sequence begins at 50, and each term after that is found by subtracting 8 from the term before it. Priya says the 8th term of the sequence is negative. Is Priya correct?

2.Work out the value of 3n − 2 when n = 1

3.Solve the inequality 9 − 2x ≥ 1.

4.Simplify k + k + k + k + k.

5.A plumber charges a call-out fee of £30 plus £25 per hour worked. Work out the total charge for a job that takes 3 hours.

6.A vertical line passes through the point (4, 7). Write down the equation of this line.

7.A straight line has equation y = 4x + 3. A second line is parallel to the first line and passes through the point (0, −5). Work out the equation of the second line.

8.Which expression means 'y squared, multiplied by 3'?

9.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.

10.Expand 2(x + 12)

11.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?

12.Which of these statements is an identity?

13.Which expression is equivalent to 5x − (x + 3)?

14.Make x the subject of the formula y = 4x − 3.

15.The first four terms of a sequence are 18, 15, 12, 9. Work out an expression, in terms of n, for the nth term.