Algebra worksheet — GCSE Foundation

1.Look at the statement 2x + 5 = 17. Considering whether it is an expression, an equation, a formula, or an identity, which classification is correct?

2.Which of these equations gives a graph shaped like a U, symmetrical about a vertical line?

3.A number, w, satisfies the statement "three times w, minus 5, is at least 16". Which of these is the correct inequality for w?

4.Solve the inequality 6x ≥ 18.

5.Write down the expression that means the same as 'subtract 5 from n, then divide the result by 2'.

6.y = 5 − 2x. Work out the value of x when y = 11.

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

8.A walker's distance-time graph is described as follows: she walks 3 km in the first 15 minutes at a steady speed, rests for 10 minutes, then walks a further 3 km in the next 20 minutes, also at a steady speed. Work out her speed, in km/h, during the first 15 minutes.

9.A currency conversion graph shows that £4 is equivalent to 5 US dollars. Use this to work out how many US dollars are equivalent to £24.

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

11.Work out the equation of the straight line through the points (−2, 1) and (0, 7).

12.The first four terms of a sequence are 9, 14, 19, 24. Work out an expression, in terms of n, for the nth term.

13.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.

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

15.A colony of bacteria doubles in number every hour. At 9am there are 5 bacteria in the colony. Work out how many bacteria there will be at 12 noon.