Equations

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.

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Henry J. Spencer, The Gryphon School, Sherborne Thursday, May 25, 2017 "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. Your sincerely, Henry J. Spencer." Transum, Friday, May 26, 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." Ibby Gaze, Twitter Wednesday, November 15, 2017 Year 8 @KHCAmaths had a great time collecting @Transum trophies for their work on equations today. pic.twitter.com/gczs9TKfJ8 — Ibby Gaze (@GazeIbby) November 14, 2017 Martin Ward, Spain Monday, January 15, 2024 "This resource is absolutely incredible. So useful. Just enough questions. Just enough challenge. Gives the students control about which level they would like to attempt. And it self-assesses, too!"

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Description of Levels

Level 1 - Simple equations where the solution can be found by performing one operation on both sides of the equation.

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

Equations with Fractions - A five-level set of exercises taking your equation solving skills one step further.

Example: \( \frac{6x-4}{2}=13 \)

Old Equations - Solve these linear equations that appeared in a book called A Graduated Series of Exercises in Elementary Algebra by Rev George Farncomb Wright published in 1857.

Nevertheless - A two-player, equation-making game based on Level 2 type equations.

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Equations Level 4

Practise solving simple linear equations with this multi-level online exercise.

Menu Level 1 Level 2 Level 3 Level 4 Level 5 Fraquations Exam Help eQuation More

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Polybragging

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Maths Map

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Description of Levels

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Example