Tutorial

GCSE Maths: Rearranging Formulae

Learn to change the subject of a formula, including those with brackets, fractions, and where the new subject appears more than once.
GCSE Maths: Rearranging Formulae

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Deck Contents

28 Cards
Lesson#1
Welcome to rearranging formulae. A formula is just a rule connecting different variables, like Area equals length times width. The 'subject' of the formula is the variable that's on its own, usually on the left-hand side. In this deck, you'll learn how to change the subject, which is a key skill in maths and science.
Lesson#2
The main principle for rearranging formulae is to keep the equation balanced. Whatever you do to one side, you must do to the other. To isolate a variable, we use 'inverse operations' to undo everything that's been done to it. Think of it as unwrapping a present, one layer at a time.
Quiz#3
What is the inverse, or opposite, operation of adding?

subtracting

Quiz#4
What is the inverse, or opposite, operation of multiplying?

dividing

Lesson#5
Let's start with a simple example. In the formula y equals x plus 5, 'y' is the subject. To make 'x' the subject, we need to get it on its own. Since 5 is being added to x, we do the inverse: we subtract 5 from both sides. This gives us y minus 5 equals x.
Quiz#6
To make 'x' the subject of the formula y equals x plus 10, what operation must you perform on both sides?

subtract 10

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