Year 8 solving linear equations test to download as PDF

This Year 8 solving linear equations test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 12-13, and the full answers are on a separate page.

⏱️ Duration : 45 min
🎯 Total : 20 marks
❓ 5 questions

Mark/20

Question 1 – Solving equations
Solve each equation. Show your working.
1. \(5x-7=18\) (2 marks)
2. \(3(x+2)=2x+11\) (2 marks)
Question 2 – Both sides and fractions
Solve each equation.
1. \(7x+2=3x+18\) (2 marks)
2. \(\dfrac{x+5}{3}=4\) (1 mark)
3. \(4-3x=19\) (1 mark)
Question 3 – Forming an equation
The perimeter of a triangle with sides \(x\) cm, \((x+3)\) cm and \((2x-1)\) cm is 30 cm.
1. Write and simplify an equation. (1 mark)
2. Solve it. (1 mark)
3. Find the longest side. (1 mark)
4. Check that the three sides add to 30 cm. (1 mark)
Question 4 – Problem: taxi fares
Taxi A charges £2.50 plus £1.60 per mile. Taxi B charges £4 plus £1.10 per mile.
1. Write an equation for the distance at which the fares are equal. (1 mark)
2. Solve it. (2 marks)
3. Which taxi is cheaper for a 5-mile journey? (1 mark)
Question 5 – Problem: consecutive numbers
Three consecutive even numbers add up to 114.
1. Write an equation using \(n\) for the smallest number. (1 mark)
2. Solve it and write the three numbers. (2 marks)
3. Is it possible for three consecutive even numbers to add up to 100? Explain. (1 mark)

How to use this Year 8 solving linear equations test

First, revise with the solving linear equations lesson and the worksheet. Then sit the test in one go, with a timer set to 45 minutes. After that, mark your work with the solving linear equations test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 8 solving linear equations test as a PDF and print it like a real exam paper. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.