Transum Software

Equations Level 4

A self marking online exercise requiring you to solve the given equations.

Level 1 Level 2 Level 3 Level 4 Level 5 Description of levels Examples eQuation Generator  

This is level 4; Equations including brackets. You can earn a trophy if you get at least 7 questions correct.

\(3(4s + 8) - 2 = 130\)


\(s\) = Correct Wrong
\(5(2z - 1) + 2 = 37\)


\(z\) = Correct Wrong
\(3(7s + 4) + 2 = 224\)


\(s\) = Correct Wrong
\(4(8m - 1) - 9 = 19\)


\(m\) = Correct Wrong
\(142 = 4(3t + 7) + 6\)


\(t\) = Correct Wrong
\(8(7d + 8) + 1 = 233\)


\(d\) = Correct Wrong
\(168 = 8(4q - 2) - 8\)


\(q\) = Correct Wrong
\(3(2t - 1) - 8 = 43\)


\(t\) = Correct Wrong
\(2(5d - 4) + 5 = 6997\)


\(d\) = Correct Wrong
\(7(4t + 5) - 9 = 68\)


\(t\) = Correct Wrong

This is Equations level 4. You can also try:
Level 1 Level 2 Level 3 Level 5


Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 12 July 'Starter of the Day' page by Miss J Key, Farlingaye High School, Suffolk:

"Thanks very much for this one. We developed it into a whole lesson and I borrowed some hats from the drama department to add to the fun!"

Comment recorded on the 21 October 'Starter of the Day' page by Mr Trainor And His P7 Class(All Girls), Mercy Primary School, Belfast:

"My Primary 7 class in Mercy Primary school, Belfast, look forward to your mental maths starters every morning. The variety of material is interesting and exciting and always engages the teacher and pupils. Keep them coming please."

Featured Activity



If you have ever played a card game called Top Trumps you will know the main idea of this game already. Based on the properties of polygons this game for two or more players is a fun way to learn geometric facts.


There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

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Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.


If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

"I am commenting to show you a wrong answer. Me, my teacher and my friends around me have been trying to solve this equation. We believe that you have your answer wrong and you may need to check it. The question is:
If you worked out the answer you would know that y=12. Unfortunately, when I submitted that answer, it was wrong. I hope you take this into consideration and I hope I will not find any more problems that I believe are wrong.
Your sincerely,
Henry J. Spencer."

Henry J. Spencer, The Gryphon School, Sherborne
Thursday, May 25, 2017


"Thanks Henry for pointing out the error with Level 5 question 2. It has now been corrected. The questions that you see are drawn from a database containing a number of different versions of the question type. One of the versions is chosen each time the page is loaded. I hope you will not find any other errors but please let me know if you do. I am very grateful for the time you took to flag up the mistake. Thank you again."

Friday, May 26, 2017


Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.


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Description of Levels



Level 1 - Simple equations where the solution can be found by dividing both sides of the equation by an integer.

Example: 8n = 64

Level 2 - Simple equations where the solution can be found in two steps.

Example: 9e + 6 = 78

Level 3 - Equations where a multiple of the unknown and a constant are on both sides.

Example: 4y - 7 = 3y - 4

Level 4 - Equations including brackets.

Example: 2(4r + 7) - 9 = 21

Level 5 - More complex equations requiring multiple steps to find the solution.

Example: 6(10h + 3) + 4 = 7h + 287

There is also a two player equation-making game you could try called Nevertheless. It is based on Level 2 type equations.


Here is an example showing a good way to solve an equation of this type (Level 4) by thinking of the two sides of the equation as two sides of a balance. The equation will remain balanced only if you do the same thing (multiply, divide add or subtract) to both sides.

2(3x - 4) + 1 = 5
Subtract 1 from both sides
2(3x - 4) = 4
Divide both sides by 2
3x - 4 = 2
Add 4 to both sides
3x = 6
Divide both sides by 3
x = 2

Another method:

2(3x - 4) + 1 = 5
First multiply out (expand) the brackets
6x - 8 + 1 = 5
Collect together like terms
6x - 7 = 5
Add 7 to both sides
6x = 12
Divide both sides by 6
x = 2