Changing the Subject of a Formula (Leaving Cert Mathematics): Flashcards

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Changing the Subject of a Formula
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Subject of a formula

Variable on left-hand side, expressed in terms of others

Changing the subject of a formula

Rearranging so different variable appears alone on left

Key principle for changing formula subject

Same operation on both sides keeps equation unchanged

Operations allowed on both sides of equation

Add, subtract, multiply, or divide

First step to change formula subject

Identify the variable you want to make the subject

Order for undoing operations on variable

Work in reverse order - undo last operation first

Unwrapping analogy: which layers to remove first?

Outer layers first (work in reverse order)

Technique for fractions when changing subject

Clear fractions early by multiplying through by denominators

When to factor out the target variable

When it appears in multiple terms

How to check your rearranged formula

Substitute answer back into original equation

Common mistake when moving terms across = sign

Forgetting to change the sign

Final step in changing formula subject method

Check your final answer makes sense

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