# Changing The Subject

## Rearrange a formula in order to find a new subject in this self marking exercise.

##### Level 1Level 2Level 3Level 4Level 5Level 6Level 7Level 8ExamMenuHelpMore

This is level 1: formulas which can be rearranged by adding or subtracting terms from both sides You can earn a trophy if you get at least 9 correct and you do this activity online.

 $$a + b = c$$make $$a$$ the subject $$a=$$ $$a = b + c$$make $$c$$ the subject $$c=$$ $$d = e - f$$make $$e$$ the subject $$e=$$ $$d = e - f$$make $$f$$ the subject $$f=$$ $$g = 3h + j$$make $$j$$ the subject $$j=$$ $$3w = y + 21$$make $$y$$ the subject $$y=$$ $$5m = n - 9$$make $$n$$ the subject $$n=$$ $$2g + f = 3h - 5$$make $$f$$ the subject $$f=$$ $$w - 2u = v - 3y$$make $$w$$ the subject $$w=$$ $$w - 2u = v - 3y$$make $$v$$ the subject $$v=$$ $$8p - q = 3r - 5$$make $$q$$ the subject $$q=$$ $$f = 3g - 2p - r$$make $$r$$ the subject $$r=$$
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This is Changing The Subject level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Level 8

## 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

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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.

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## 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:

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Scan the QR code below to visit the online version of this activity.

https://Transum.org/go/?Num=365

## Description of Levels

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Level 1 - Formulas which can be rearranged by adding or subtracting terms from both sides

Example: Make e the subject of the formula d = e - f

Level 2 - Formulas which can be rearranged by multiplying or dividing both sides by a value

Example: Rearrange the formula n = mp

Level 3 - Formulas which can be rearranged by adding, subtracting, multiplying or dividing both sides by a value

Example: Rearrange the formula b = a + cd

Level 4 - Formulas including brackets or expressions in the numerator or denominator of a fraction

Example: Rearrange the formula p = s(t + 2)

Level 5 - Formulas including squares or square roots

Example: Rearrange the formula d² = 2a + 1

Level 6 - Finding the unknown which is not the subject of a formula

Example: If m = n² + 2p, find p when m=8 and n=10

Level 7 - Rearrange the formulae where the new subject appears twice; fill in the blanks

Example: Rearrange the formula ax + b = cx + g to make x the subject

Level 8 - Rearrange the formulae where the new subject appears twice; show your working

Example: Rearrange the formula a(3-x)=5x to make x the subject

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

More Algebra including lesson Starters, visual aids, investigations and self-marking exercises.

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.

## Help Video

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

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.

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