Algebra worksheet — GCSE Foundation

1.Solve x² + 7x = 0.

2.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.

3.Write down the expression that means the same as p + p + p + q.

4.A ramp rises 3 m over a horizontal distance of 12 m. Work out the gradient of the ramp.

5.Write down the gradient of the line with equation y = 6 + 4x.

6.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.

7.A phone plan costs a fixed £15 per month plus 8p per minute of calls. In one month, Jamal's bill was £23.80. Form an equation using m for the number of minutes, and solve it to find how many minutes Jamal used that month.

8.a = 2 and b = 5. Work out the value of ab².

9.Write down the expression that means the same as m × m × m × n.

10.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.

11.Solve the inequality 5 − x ≤ 2.

12.Expand and simplify (x − 3)²

13.Which of these equations describes a vertical line?

14.Factorise fully 56x − 24

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