Forming & Solving Equations Practice Questions

Write down a formula for the total cost, £$C$, of a job that takes $h$ hours.

The total cost of one job was £147.

Form and solve an equation to work out how many hours the plumber worked on this job.

A car park contains only cars, vans and motorbikes.

The number of vans is 8 fewer than the number of cars.

The number of motorbikes is one third of the number of cars.

Altogether there are 76 vehicles in the car park.

Work out the number of vans in the car park.

You must show all your working.

Show that $x = 3$.

Work out the difference between the area of square A and the area of rectangle B.

State the units with your answer.

Show that $x^2 + 5x - 84 = 0$.

Work out the perimeter of the rectangle.

A warehouse packs its orders using two sizes of box. All the large boxes have the same mass and all the small boxes have the same mass.

5 large boxes and 2 small boxes have a total mass of 43 kg.

3 large boxes and 4 small boxes have a total mass of 37 kg.

Work out the total mass of 2 large boxes and 3 small boxes.

Work out the area of the path.

You must show all your working.

The diagram shows a right-angled triangle.

All measurements are in centimetres.

Work out the area of the triangle.

You must show all your working.

Find an expression for $y$ in terms of $x$.