Year 9 solving linear equations and rearranging formulae test to download as PDF

This Year 9 solving linear equations and rearranging formulae test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 13-14, 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.
1. \(4x-9=19\) (1 mark)
2. \(5(x+2)=40\) (1 mark)
3. \(7x+3=4x+24\) (2 marks)
Question 2 – Equations with fractions
Solve each equation.
1. \(\dfrac{x+4}3=7\) (2 marks)
2. \(\dfrac x2+3=x-1\) (2 marks)
Question 3 – Forming an equation
A rectangle has length \((3x-1)\) cm and width \((x+2)\) cm. Its perimeter is 42 cm.
1. Form an equation in \(x\). (1 mark)
2. Solve the equation. (2 marks)
3. Find the length and width. (1 mark)
Question 4 – Changing the subject
Rearrange the formulae.
1. Make \(x\) the subject of \(y=5x-3\). (2 marks)
2. Make \(h\) the subject of \(V=lwh\). (2 marks)
Question 5 – Problem: the tickets
Adult tickets for a show cost £9 and child tickets cost £6. A total of 30 tickets were sold for £219.
1. Let \(a\) be the number of adult tickets. Write an equation. (1 mark)
2. Solve it to find \(a\). (2 marks)
3. Find the number of child tickets. (1 mark)

How to use this Year 9 solving linear equations and rearranging formulae test

First, revise with the solving linear equations and rearranging formulae 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 and rearranging formulae test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 9 solving linear equations and rearranging formulae 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.

Solving linear equations and rearranging formulae – Year 9 maths test to download as PDF

Question 1 – Solving equations

Question 2 – Equations with fractions

Question 3 – Forming an equation

Question 4 – Changing the subject

Question 5 – Problem: the tickets

How to use this Year 9 solving linear equations and rearranging formulae test

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