Algebra worksheet — GCSE Foundation

1.A currency conversion graph shows that £4 is equivalent to 5 US dollars. Use this to work out how many US dollars are equivalent to £24.

2.Water is poured into a container at a constant rate. A graph of the depth of the water, in cm, against the time since pouring began, in minutes, is a straight line through the origin, and it passes through the point (3, 12). Use the graph to work out the depth of the water after 7 minutes.

3.How many turning points does the graph of y = x² − 7x + 10 have?

4.Make c the subject of the formula k = 6c.

5.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.

6.Work out the value of a² − 2b when a = −3 and b = 4.

7.A fundraising chain letter starts with 3 people taking part in round 1. Each following round has 4 times as many people taking part as the round before. Work out the number of people taking part in round 4.

8.Work out the value of n² − n when n = −3

9.Solve x/4 + 1 = 3

10.A mobile phone plan charges a fixed monthly fee plus an amount for each gigabyte of data used. The total cost £C for using g gigabytes in a month is given by C = 15 + 2g. What does the number 2 represent in this formula?

11.A straight line has gradient 3 and passes through the point (1, 4). Work out the equation of the line.

12.Work out the coordinates of the point where the graph of y = 2x − 6 crosses the x-axis.

13.Solve 3(2x − 1) = 27

14.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.

15.A gym charges a reduced price for the first month of membership and a standard price for every month after that. The total cost is £5 for 1 month, £12 for 2 months, £19 for 3 months and £26 for 4 months. Work out an expression, in terms of n, for the total cost, in pounds, of n months of membership.