Algebra worksheet — GCSE Foundation

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

2.Work out the value of 5y + 9 when y = 0

3.Given that (x − 4)(x + 9) = 0, write down the two solutions of x.

4.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.

5.Harry is 14 years old and Mia is 8 years old. Will Harry ever be exactly twice as old as Mia? Give a reason for your answer.

6.A sequence has the position-to-term rule: the nth term is 3n. Write down the first four terms of the sequence.

7.A cinema sells adult tickets and child tickets. On one evening, 40 tickets are sold in total. There are 8 more adult tickets sold than child tickets. Work out the number of child tickets sold.

8.A walker's distance-time graph is described as follows: she walks 3 km in the first 15 minutes at a steady speed, rests for 10 minutes, then walks a further 3 km in the next 20 minutes, also at a steady speed. Work out her speed, in km/h, during the first 15 minutes.

9.The formula for the volume of a cuboid is V = lwh, where l is the length, w is the width and h is the height. Make h the subject of the formula.

10.A rule turns each input x into an output y. An input of 1 gives an output of 1, an input of 2 gives an output of 4 and an input of 3 gives an output of 9. Work out the rule.

11.Solve 5x² − 15x = 0.

12.The nth term of a sequence is 2n² + 1. Work out the 4th term of the sequence.

13.Which of these is an expression?

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

15.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.