Algebra worksheet — GCSE Foundation

1.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.

2.Write down the expression that means the same as 'subtract 5 from n, then divide the result by 2'.

3.Which expression is equivalent to 4(x − 2) + 10?

4.There are 50 adults on a coach to the Lake District. Every adult is either a man or a woman. There are 10 more men than women. Work out the number of men.

5.Harry is 14 years old and Mia is 8 years old. Will Harry ever be exactly twice as old as Mia? Give a reason for your answer.

6.Which of these is an expression?

7.Solve 2x² − 32 = 0.

8.The formula for the area of a trapezium is A = (a + b)h / 2, where a and b are the parallel side lengths and h is the height. Make h the subject of the formula.

9.A distance-time graph shows a car travelling at a constant speed, covering 90 km in 2 hours. Work out the car's speed in km/h.

10.Work out the value of (x − 4)/2 + 3 when x = 10

11.A sequence has the position-to-term rule n² − 3, where n is the position number. Work out the difference between the 6th term and the 5th term.

12.Write down 0.2x with its coefficient written as a fraction in its simplest form.

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

14.Make x the subject of the formula y = 4(x − 6).

15.The formula connecting speed, distance and time is v = s ÷ t. Work out v, in km/h, when s = 180 and t = 4.