Algebra worksheet — GCSE Foundation

1.Make x the subject of the formula y = 4(x − 6).

2.Two numbers have a sum of 50. The larger number is twice the smaller number. Work out the smaller number.

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

4.Make a the subject of the formula b = 20 − a.

5.Work out the value of m² + 3m when m = −2

6.Solve x² − 6x = 0.

7.Write down the y-intercept of the line with equation y = 3x + 8.

8.Which expression means 'triple c, then add double d'?

9.A taxi charges a fixed fee of £3 plus £2 for every mile travelled. The journey is m miles. Write down an expression for the total cost, in pounds.

10.Solve the inequality 2(3x − 1) ≥ 4x + 8.

11.y = 3x − 2. Work out the value of y when x = 4.

12.Two brothers have ages that add up to 30. The elder brother is 6 years older than the younger brother. Work out the age of the younger brother.

13.The first five square numbers are 1, 4, 9, 16, 25. Write down the next square number in the sequence.

14.Simplify 5x + 3y − 2x + y.

15.A car's speed-time graph shows the following: its speed increases steadily from 0 m/s to 20 m/s over the first 10 seconds, then stays constant at 20 m/s for the next 15 seconds. Work out the total distance travelled in the first 25 seconds.