Year 7 solving one-step and two-step equations test to download as PDF

This Year 7 solving one-step and two-step equations test lasts 45 minutes and is marked out of 20. It covers the whole chapter for pupils aged 11-12, 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. \(x+8=21\) (1 mark)
2. \(\dfrac{y}{5}=7\) (1 mark)
3. \(3a-4=14\) (1 mark)
4. \(\dfrac{n+2}{3}=6\) (1 mark)
Question 2 – Harder equations
Solve each equation.
1. \(4(x-2)=20\) (2 marks)
2. \(5x+3=2x+18\) (2 marks)
Question 3 – Forming an equation
I think of a number. I multiply it by 5 then subtract 8. The answer is 27.
1. Write an equation for this. (1 mark)
2. Solve your equation to find my number. (2 marks)
3. Check your answer. (1 mark)
Question 4 – Problem: the swimming club
A swimming club charges a joining fee of £15 and £6 for each lesson. Hamza has paid £63 in total.
1. Write an equation for the number of lessons, n. (1 mark)
2. Solve it. (2 marks)
3. Ravi joins a different club with a joining fee of £5 and £7 for each lesson. Which club is cheaper for 8 lessons, and by how much? (1 mark)
Question 5 – Problem: the rectangle
A rectangle has length (3x + 2) cm and width (x + 4) cm. The perimeter is 52 cm.
1. Show that \(8x+12=52\). (1 mark)
2. Solve the equation. (1 mark)
3. Work out the area of the rectangle. (2 marks)

How to use this Year 7 solving one-step and two-step equations test

First, revise with the solving one-step and two-step 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 one-step and two-step equations test answers. If you lose marks on a question, redo it the next day without help.

Finally, you can download this Year 7 solving one-step and two-step 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.

Solving one-step and two-step equations – Year 7 maths test to download as PDF

Question 1 – Solving equations

Question 2 – Harder equations

Question 3 – Forming an equation

Question 4 – Problem: the swimming club

Question 5 – Problem: the rectangle

How to use this Year 7 solving one-step and two-step equations test

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