Algebra worksheet — GCSE Foundation

1.Which of these is an expression?

2.Solve 2x + 7 = x + 13

3.Which of these equations is equivalent to 5x − 2 = 3x + 8?

4.Solve 2x² = 18.

5.Solve 5x + 2 = 17.

6.Which of these is an equation, rather than an expression, a formula or an identity?

7.Kai writes the expression 8 − 3x + 5x² and says it has three terms. Ryan says it only has two terms because a number on its own is not a term. Work out the correct number of terms in the expression.

8.A rectangular field has length (3a + 2) metres and width (a − 1) metres. Write a simplified expression for the perimeter of the field.

9.Solve 4x² − 9 = 0.

10.Work out the value of 2x² when x = −3

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

12.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?

13.A car park charges by the hour. Parking for 1 hour costs £5, 2 hours costs £9, 3 hours costs £13 and 4 hours costs £17, with the cost increasing by the same amount for each extra hour. Work out an expression, in terms of n, for the cost, in pounds, of parking for n hours.

14.A plumber charges a call-out fee of £30 plus £25 for each hour worked. The total bill for a job was £130. Work out how many hours the plumber worked.

15.A delivery van's distance-time graph shows the following: it travels 9 km in the first 15 minutes at a steady speed, stops for 45 minutes to unload, then travels a further 21 km in the next 30 minutes, also at a steady speed. Work out the average speed, in km/h, for the whole journey.