Algebra worksheet — GCSE Foundation

1.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?

2.Expand 4(2x − 3).

3.Make x the subject of the formula y = (x − 4)/5.

4.Amelia's mother is three times as old as Amelia. Four years ago her mother was five times as old as Amelia was then. Work out Amelia's age now.

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

6.Which of these values of x is a solution of x² + 2x − 15 = 0?

7.Isla says that the lines y = 2x + 1 and y = −2x + 3 are parallel. Write down the statement that gives the correct answer for the correct reason.

8.A straight line passes through the points (1, 3) and (2, 5). Work out the equation of the line.

9.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.

10.A walker's distance-time graph is described as follows: she walks 3 km in the first 15 minutes at a steady speed, rests for 10 minutes, then walks a further 3 km in the next 20 minutes, also at a steady speed. Work out her speed, in km/h, during the first 15 minutes.

11.A rule turns each input x into an output y. The inputs are x = 0, 1, 2, 3 and the outputs are y = 4, 7, 10, 13. Work out the output when x = 5.

12.A number, n, is doubled and then 7 is subtracted. The result is 15. Form an equation and solve it to find n.

13.Make m the subject of the formula w = m − 8.

14.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.

15.Write down the coefficient of p in the expression 7 − 4p + 9q.