Algebra worksheet — GCSE Foundation

1.p = 4. Work out the value of 2p³.

2.A straight line has equation y = 5x. Work out the value of y when x = 3.

3.A plumber charges a £40 call-out fee plus £25 for each hour worked. The total charge, £C, for a job lasting h hours is given by C = 40 + 25h. Work out the charge for a job lasting 3 hours, and name what kind of statement C = 40 + 25h is.

4.A taxi fare in pounds is given by F = 2.50 + 1.20m, where m is the number of miles travelled. Sam takes a taxi for a journey of 6 miles. Work out the fare.

5.Write down the expression that means the same as w ÷ 6.

6.Which of these is an expression?

7.Grace says that 2(x + 1) and 2x + 2 always have the same value. Work out the value of both expressions when x = 3.

8.A straight line passes through the points (0, 4) and (1, 9). Write down the gradient of the line.

9.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.

10.Work out the equation of the straight line through the points (−3, 4) and (1, −8).

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

12.Solve 5(x + 3) = 40

13.A cafe sells coffees at £c each and pastries at £p each. Three coffees and two pastries cost £9.60. Two coffees and two pastries cost £7.60. Work out the price of one coffee.

14.Solve the simultaneous equations 5x − 2y = 16 and 3x + 2y = 16. Work out the value of x.

15.The volume of a cuboid is given by the formula V = lwh. Work out V, in cm³, when l = 2, w = 3 and h = 6.