Substitution (HSC SSCE Mathematics Standard): Flashcards

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Substitution
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Definition of substitution

Replacing letters (variables) with numbers in an expression

4 steps of substitution

Write expression, replace variables, evaluate, write answer

Why use brackets when substituting?

To avoid mistakes with negative numbers and operations

Linear expression

Variables with power of 1 (or no power shown)

Non-linear expression

Contains variables with powers or square roots

Order of operations acronym

BIDMAS/BODMAS

Power operations in order of operations

Happen before multiplication

When to take square root

After completing all operations inside the root symbol

Subtracting a negative number

Becomes addition (two negatives make a positive)

Most common substitution error

Forgetting brackets around substituted values

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