Algebra worksheet — GCSE Foundation

1.Write down the number of terms in the expression 4x² − 7x + 3.

2.The formula for the circumference of a circle is C = 2πr, where r is the radius. Make r the subject of the formula.

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

4.For the graph of y = 1/x, where x cannot be zero, which of these statements is correct?

5.Priya buys b balloons for a party. Each balloon costs 15p. Write down an expression for the total cost, in pence.

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

7.Make x the subject of the formula y = 2x − 9.

8.Priya has a budget of £50 for a school trip. The coach costs £14 and each student ticket costs £4. Using the inequality 14 + 4s ≤ 50, work out the greatest number of student tickets, s, she can buy.

9.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.

10.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.

11.Solve the inequality 9 − 2x ≥ 1.

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

13.Write down the first four terms of the sequence with nth term 6n − 5.

14.A hiker's distance-time graph shows the following: he walks 5 km in the first 1 hour at a steady speed, rests for 1 hour, then walks a further 9 km in the next 2 hours, also at a steady speed. Work out his average speed for the whole journey, in km/h.

15.A statement contains an equals sign and one unknown letter, and it is only true for particular value(s) of that letter. What is this type of statement called?