Algebra worksheet — GCSE Foundation

1.Solve 6x + 4 = 28

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

3.a = 3 and b = 5. Work out the value of a²b.

4.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.

5.Make c the subject of the formula k = 6c.

6.Look at the statement 2x + 5 = 17. Considering whether it is an expression, an equation, a formula, or an identity, which classification is correct?

7.Which of these is a term, rather than a whole expression, an equation, or a formula?

8.Solve the simultaneous equations 4x + 3y = 25 and 4x − y = 1. Work out the value of y.

9.The diagram shows the graph of a straight line, drawn on a grid numbered from −5 to 5 on both axes. Which equation could represent the line?

10.A number machine adds 1 to its input. Isla says that an input of 5 gives an output of 6. Which statement is correct?

11.The point A lies on the x-axis. Which statement about A must be true?

12.Work out the value of 5m² + 3m when m = −2.4

13.A box holds n pencils. A shop has 6 full boxes and 4 loose pencils. All of these pencils are shared equally between 2 classes. Write down the expression for the number of pencils each class receives.

14.A student says that (x + 4)² is equivalent to x² + 16. For which value of x do the two expressions give the SAME result, making it look (misleadingly) like the student could be right?

15.A mobile phone tariff charges a fixed £15 plus 20p for every minute of calls made, so the total monthly charge, £C, for m minutes of calls is given by C = 15 + 0.2m. In a month where Ali's charge was £46.60, work out how many minutes of calls he made.