what are identities in algebra?
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An identity is an equality that holds true regardless of the values chosen for its variables.They are used in simplifying or rearranging algebra expressions. By definition, the two sides of an identity are interchangeable, so we can replace one with the other at any time.
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Algebra is the branch of math focusing on equations with variables. Each equation is a complete sentence that can be directly translated into a colloquially spoken language such as English, Spanish or Hindi.
The beauty of a sentence that is translated into the language of algebra is that it can then be transformed using clearly defined properties and identities, such as the Order of Operations or the Identity, Associative, and Commutative Properties of Addition and Multiplication.
These transformed equations can answer questions and reveal new insights into the original statement.
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