Algebra worksheet — GCSE Foundation

1.A theatre's front row has 18 seats. Each row behind has 4 more seats than the row in front. Which row has exactly 62 seats?

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

3.Which of these is an equation, rather than an expression, a formula or an identity?

4.p = 4. Work out the value of 2p³.

5.A wall is tiled in rows, and every row uses the same number of tiles. One row uses 10 tiles, two rows use 20 tiles and three rows use 30 tiles. Work out how many tiles are needed for 7 rows.

6.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.

7.y = 5 − 2x. Work out the value of x when y = 11.

8.A ball is thrown in the air. Its height, h metres, above the ground after t seconds is given in this table: when t = 0, h = 0; when t = 1, h = 15; when t = 2, h = 20; when t = 3, h = 15; when t = 4, h = 0. Use the table to find the two times, in seconds, at which the ball is at ground level.

9.Make p the subject of the formula n = p/3.

10.Solve the simultaneous equations 3x + y = 14 and x + y = 6. Work out the value of x.

11.Factorise fully 5x + 5y − 5

12.A number machine adds 5 to its input. Work out the output when the input is 0.

13.Solve 2x² = 18.

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

15.The graph of y = (x − 2)(x + 5) crosses the x-axis at two points. Work out the x-coordinates of these two points.