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Commutative: The same problem but flipped Associative: when you move the parentheses Identity: You get the same variable for the answer.

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Product means move the variable by the number

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Switch the inequality sign if you multiply or divide both sides by a negative.

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Irrational is junky number that fills calculator screen
Rational is a pattern or it stops

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A^2 + B^2 = C^2

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Difference means subtract

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Complete the addition inside first then do Absolute Value.