Grade 7 Module 9- Properties of Equality

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Math

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8 Terms

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Addition Property of Equality

Adding the same number to each side of an equation produces an equivalent equation.

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Subtraction Property of Equality

Subtracting the same number from each side of an equation produces an equivalent equation.

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Multiplication Property of Equality

Multiplying each side of an equation by the same nonzero number produces an equivalent equation.

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Division Property of Equality

Dividing each side of an equation by the same nonzero number produces an equivalent equation.

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Reflexive (or Identity) Property of Equality

A real number is always equal to itself.

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Symmetric Property of Equality

If the numbers are equal, they will still be equal if the order is changed.

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Transitive Property of Equality

If two numbers are equal to the same number, then the two numbers are equal to each other.

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Substitution Property

If the numbers are equal, then substituting one for the other does not change the equality of the equation.