Algebra worksheet — GCSE Foundation

1.Solve x² − 2x − 24 = 0.

2.Make p the subject of the formula n = p/3.

3.Which of these is an expression?

4.n = 3. Work out the value of (2n)².

5.Solve the inequality 9 − 2x ≥ 1.

6.A number machine adds 6 to its input. Work out the output when the input is −4.

7.Which of these is an inequality?

8.Which of these equations describes a vertical line?

9.In a sequence, each term is half the term before it. The sequence begins 100, 50, 25. Write down the next term.

10.The simple interest, £I, earned on a savings account is given by the formula I = PRT/100, where P is the amount invested in pounds, R is the interest rate per year and T is the time in years. Rearrange the formula to make P the subject.

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

12.The graph of y = x² + 2x − 15 crosses the x-axis at two points. By factorising, work out the x-coordinates of these two points.

13.Solve 2x² − 32 = 0.

14.Aisha saves money each week. In week 1 she has saved £15 in total, in week 2 she has saved £23 in total, in week 3 she has saved £31 in total and in week 4 she has saved £39 in total, with the total increasing by the same amount each week. Work out an expression, in terms of n, for the total amount she has saved, in pounds, after week n.

15.A plumber charges a call-out fee plus an hourly rate. The total cost, y in pounds, of a job lasting x hours is given by y = 45x + 60. Work out the total cost of a job that lasts 3 hours.