Algebra worksheet — GCSE Foundation

1.A pizza shop charges a fixed delivery fee of £3, plus £9 for each pizza ordered. Write down the function for the total cost y, in pounds, of ordering x pizzas.

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

3.Solve 3(2x − 1) = 27

4.Expand 2(x + 12)

5.A coach company charges a booking fee plus a price for each passenger. A booking for 1 passenger costs £9, for 2 passengers costs £15, for 3 passengers costs £21, and for 4 passengers costs £27. Work out an expression, in terms of n, for the cost in pounds of a booking for n passengers.

6.A ramp rises 3 m over a horizontal distance of 12 m. Work out the gradient of the ramp.

7.Make x the subject of the formula y = 3(x + 2).

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

9.A rectangular photo has length (x + 3) cm and width x cm. Its area is 40 cm². Work out the value of x.

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

11.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.

12.Jack is x years old. His brother Kwame is 3 years older than Jack. Write down an expression for Kwame's age.

13.Which expression is equivalent to 3(2x − 5) + 4x?

14.Solve x² = 49.

15.A cyclist's journey is shown on a distance–time graph. The graph is a straight line from (0 minutes, 0 km) to (40 minutes, 12 km). Work out her speed in kilometres per hour.