Algebra worksheet — GCSE Foundation

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

2.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.

3.The graph of y = 20/x is drawn for x > 0. As the value of x increases, what happens to the value of y?

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

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

6.x = 5. Work out the value of 3x² − 4.

7.A number machine multiplies its input by 3 and then adds 7. The output is 1. Work out the input.

8.A rule turns each input x into an output y. The inputs are x = 1, 2, 3, 4 and the matching outputs are y = −5, −3, −1 and one missing value. Work out the missing value of y.

9.The formula for the perimeter of a rectangle is P = 2(l + w). One rectangle has l = 9 cm and w = 4 cm. A second rectangle has l = 6 cm and w = 5 cm. Work out how many cm greater the perimeter of the first rectangle is than the perimeter of the second.

10.Here are the first five terms of an arithmetic sequence: 2, 5, 8, 11, 14. Work out the 8th term.

11.Work out the value of m² + 3m when m = −2

12.The nth term of a sequence is 3n + 2. Work out the 4th term of the sequence.

13.A point lies on the y-axis. What can be said about the x-coordinate of that point?

14.Which of these statements is an identity?

15.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.