Algebra worksheet — GCSE Foundation

1.Which expression is equivalent to 3(x + 4) − 2(x − 1)?

2.Make x the subject of the formula y = 5x + 3.

3.A car's speed increases steadily while it accelerates. Its speed v m/s after t seconds is given by v = u + at, where u is the starting speed in m/s and a is the acceleration in m/s². A car starts at u = 4 m/s and accelerates at a = 2 m/s² until it reaches v = 20 m/s. Work out t, the time taken in seconds.

4.Aisha saves money each week. In week 1 she has saved £15 in total, in week 2 she has saved £23 in total, in week 3 she has saved £31 in total and in week 4 she has saved £39 in total, with the total increasing by the same amount each week. Work out an expression, in terms of n, for the total amount she has saved, in pounds, after week n.

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

6.A water butt holds 200 litres and is being drained at a steady 8 litres per minute. Write down the function for the amount of water y, in litres, left after x minutes.

7.Solve 4(x − 3) = 2x + 6.

8.Simplify 2b − 1 + 2b − 4 + 2b

9.Solve 2x + 7 = x + 13

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

11.y = x + 4. Work out the value of y when x = 3.

12.Simplify 2a + 3b − a + 2b − b

13.Work out the value of 3x² − 4x when x = −2.

14.y = 3x − 2. Work out the value of y when x = 4.

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