Equations Level 3

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

Level 1Level 2Level 3Level 4Level 5Description of levelsExampleseQuation Generator

This is level 3; Equations where a multiple of the unknown and a constant are on both sides. You can earn a trophy if you get at least 7 questions correct.

 $$6h + 9 = 3h + 33$$ Working: $$h$$ = $$9v - 2 = 3v + 52$$ Working: $$v$$ = $$3n + 3 = 5n - 15$$ Working: $$n$$ = $$2r - 7 = 3r - 15$$ Working: $$r$$ = $$9g + 1 = 4g + 41$$ Working: $$g$$ = $$7m - 8 = 3m + 20$$ Working: $$m$$ = $$5h - 9 = 4h - 8$$ Working: $$h$$ = $$2r - 7 = 3r - 10$$ Working: $$r$$ = $$5s + 10 = 4s + 510$$ Working: $$s$$ = $$5c - 8 = 3c - 1$$ Working: $$c$$ =
Check

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

There is also a two player equation-making game you could try called Nevertheless.
Nevertheless

Instructions

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.

Transum.org

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.

More Activities:

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 1 February 'Starter of the Day' page by Terry Shaw, Beaulieu Convent School:

"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Polygon Pieces

Arrange the nine pieces of the puzzle on the grid to make the given polygon. Level one is for those learning the names of shapes while other levels are for those who like a challenge!

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.

Subscribe

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.

Teachers

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:
2(4y-3)=5(y+6)
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.
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."

Transum,
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.

For Students:

For All:

Description of Levels

Close

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.
Nevertheless

Example

Here is an example showing a good way to solve an equation of this type (Level 3) 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.

5x + 3 = 3x + 15
Subtract 3 from both sides
5x = 3x + 12
Subtract 3x from both sides
2x = 12
Divide both sides by 2
x = 6

Close