Algebra worksheet — GCSE Foundation

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

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

3.A sequence has the position-to-term rule: the term is the square of the position number. Its first four terms are 1, 4, 9, 16. Work out the 10th term.

4.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.

5.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).

6.Solve the inequality 5x − 3 > 2x + 9.

7.There are 30 students in a Year 10 maths class. There are 2 more boys than girls. Work out the number of boys and the number of girls.

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

9.Tom is asked to classify the statement 5(2x − 3) = 10x − 15. Which statement about it is correct?

10.Work out the gradient of the straight line with equation 3y = 12 − 6x.

11.Write down the expression that means the same as m × m × m × n.

12.Write down the expression that means the same as (x + 7) ÷ 4.

13.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.

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

15.Priya says that x = 6 is the solution of the equation 4x + 8 = 24. Priya is wrong. Work out the correct value of x.