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Equality, identity, equation

Mathematics — first biennium · Lesson

Equations · 1

The = sign does not always play the same role

A numerical equality compares two expressions without unknowns. An identity is true for every allowed value of the variable. An equation is true only for some values, called solutions.

Three cases
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Key question

Are there unknowns? If yes: is the relation always true or only for some values?

What you need to know before the exercises

In this lesson: Distinguish numerical equality, identity and equation by correctly interpreting the role of the = sign.

You can already assume: Algebraic expressions and the core polynomial path.

Try it now

Classify the relation

Guided

Completed exercises: 0/5 · Correct on first attempt: 0

Guide
  1. Check whether a variable appears.
  2. If none appears, it is a numerical equality.
  3. If one appears, ask whether the relation is always true or only for some values.
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What you need to know for Equality, identity, equation

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