Substitution (Grade 11 NSC Matric Mathematics): Flashcards

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Substitution
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Definition of substitution in algebra

Replacing a repeated expression with a single variable

Best condition for using substitution

Same expression appears at least twice in equation

Step 1 in substitution method

Identify restrictions on the original variable

Purpose of identifying restrictions first

To avoid invalid solutions violating equation's domain

Step 2 in substitution method

Let a new variable equal the repeated expression

Step 4 in substitution method

Solve the simplified equation

Step 5 in substitution method

Substitute back to find the original variable

Step 6 in substitution method

Check answers against all restrictions

Recommended letters for substitution variables

kk, uu, or tt

Common form of simplified equation after substitution

Quadratic equation

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