Substitution (Grade 11 NSC Matric Mathematics): Quizzes

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Substitution
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What is the main purpose of substitution in algebra?

Replace repeated expressions to simplify

When is substitution most effective?

Same expression appears at least twice

What is the first step when using substitution?

Identify restrictions on original variable

What are restrictions in substitution?

Values making denominators equal zero

In Step 2, what should you do with the repeated expression?

Let a new variable equal it

After substitution, what type of equation often results?

A quadratic equation

For x2−2x−3x2−2x=2x^2 - 2x - \frac{3}{x^2 - 2x} = 2, what are the restrictions?

x≠0x \neq 0 and x≠2x \neq 2

In the worked example, what substitution was used?

k=x2−2xk = x^2 - 2x

What are all final solutions in the worked example?

x=−1x = -1, x=1x = 1, or x=3x = 3

Which letters are recommended for substitution variables?

Simple letters like kk, uu, or tt

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