Algebra worksheet — GCSE Foundation

1.A mobile phone tariff charges a fixed £15 plus 20p for every minute of calls made, so the total monthly charge, £C, for m minutes of calls is given by C = 15 + 0.2m. In a month where Ali's charge was £46.60, work out how many minutes of calls he made.

2.Which of these equations describes a vertical line?

3.A hall is set out in rows of chairs for an assembly. Row 1 has 50 chairs, row 2 has 45 chairs, row 3 has 40 chairs, and row 4 has 35 chairs, with each row after the first having 5 fewer chairs than the one before. Work out an expression, in terms of n, for the number of chairs in row n.

4.Solve 2x − 2 = 2

5.Factorise x² − 3x − 10.

6.Solve x² − 100 = 0.

7.Which expression is equivalent to 3(x + 4) − 2(x − 1)?

8.Solve 4x + 3 = 19

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

10.Write down 0.2x with its coefficient written as a fraction in its simplest form.

11.Solve 3x + 14 = 8x − 6

12.Simplify p + p + p.

13.Write down the coefficient of xy in the expression 4x²y − 7xy + 2.

14.The simultaneous equations y = 3 and 4x − y = 9 are given. Work out the value of x.

15.Three consecutive integers add up to 72. Using n for the smallest integer, form an equation and solve it to find the smallest of the three integers.