Algebra worksheet — GCSE Foundation

1.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.

2.A rule turns each input x into an output y. The inputs are x = 0, 1, 2, 3 and the outputs are y = 4, 7, 10, 13. Work out the output when x = 5.

3.A company's profit is £500 in its first year. Each year after that, the profit is £300 more than the year before. Work out the profit in the company's 6th year.

4.A straight line has equation y = 5x. Work out the value of y when x = 3.

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

6.Simplify 2b − 1 + 2b − 4 + 2b

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

8.To solve 5x − 4 = 2x + 8, Chloe's working is shown. Line 1: 5x − 4 = 2x + 8. Line 2: 3x − 4 = 8. Line 3: 3x = 4. Line 4: x = 4/3. Chloe has made a mistake in her working. Which line contains the mistake?

9.A point has coordinates (x, y). In which two quadrants is the product x × y positive?

10.Expand 4(2x − 3).

11.Which expression is equivalent to 6x − (2x − 5)?

12.A sequence begins at 50, and each term after that is found by subtracting 8 from the term before it. Priya says the 8th term of the sequence is negative. Is Priya correct?

13.Solve 2x + 1 = 9

14.Write down 0.2x with its coefficient written as a fraction in its simplest form.

15.A graph shows the total monthly cost of a mobile phone tariff against the number of minutes of calls. The line starts at £12 and stays level until 200 minutes, then rises by 5p for each further minute of calls. Use the graph to work out the total cost of a month in which 250 minutes of calls are made.