Algebra worksheet — GCSE Foundation

1.A Fibonacci-type sequence begins 3, 5, 8, 13, ... where each term after the second is the sum of the two terms before it. Work out the 7th term of the sequence.

2.Solve the inequality 4x + 1 > 2x + 9.

3.Write down the expression that means the same as p + p + p + q.

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

5.a = 2 and b = 5. Work out the value of ab².

6.The solution set of an inequality is x ≥ 7. Write down the value that does NOT satisfy this inequality.

7.Solve 2(x + 3) = 10

8.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.

9.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.

10.A rectangular garden has width w metres and length (w + 3) metres. A gardener writes its perimeter as 2w + 3. Which statement corrects the gardener's mistake?

11.The nth term of a sequence is 2n − 1. Work out the 6th term of the sequence.

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

13.The graph of a straight line has equation y = 4x − 5. Beth says the y-intercept is 4. Work out the correct y-intercept.

14.Which of these statements is an identity?

15.A cinema sells adult tickets for £10 and child tickets for £6. A family group buys 9 tickets in total, spending £74. Work out how many adult tickets were bought.