Changing The Subject

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

Level 1Level 2Level 3Level 4Level 5Level 6Exam-StyleDescriptionHelpMore Algebra

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 $$b$$ the subject $$b=$$ $$a = b + c$$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

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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Four Colour Theorem

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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

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.

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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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