Substitution (Grade 11 NSC Matric Mathematics): Flashcards
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Definition of substitution in algebra
Definition of substitution in algebra
Replacing a repeated expression with a single variable
Best condition for using substitution
Best condition for using substitution
Same expression appears at least twice in equation
Step 1 in substitution method
Step 1 in substitution method
Identify restrictions on the original variable
Purpose of identifying restrictions first
Purpose of identifying restrictions first
To avoid invalid solutions violating equation's domain
Step 2 in substitution method
Step 2 in substitution method
Let a new variable equal the repeated expression
Step 4 in substitution method
Step 4 in substitution method
Solve the simplified equation
Step 5 in substitution method
Step 5 in substitution method
Substitute back to find the original variable
Step 6 in substitution method
Step 6 in substitution method
Check answers against all restrictions
Recommended letters for substitution variables
Recommended letters for substitution variables
, , or
Common form of simplified equation after substitution
Common form of simplified equation after substitution
Quadratic equation
