Identities (AQA GCSE Maths): Quizzes

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Identities
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What is an identity?

A statement always true for all variables

Which symbol is used for identities?

\equiv

Can you solve an identity using the balance method?

No, manipulate each side separately

When proving an identity, which side should you usually start with?

The more complicated side

If nn is a whole number, what can you say about 2n2n?

It is always even

If nn is a whole number, what can you say about 3n3n?

It could be odd or even

What is the result when you multiply an odd number by an odd number?

Odd

What is the difference of squares identity?

(a+b)(ab)a2b2(a+b)(a-b) \equiv a^2-b^2

Which correctly uses the difference of squares for n24n^2-4?

(n2)(n+2)(n-2)(n+2)

What should you show when proving an identity in an exam?

Every line of your working clearly

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