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Algebraic Properties of Equality
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Reflexive Property
Every number is equal to itself.
Symmetric Property
If one number is equal to another, then those two numbers can be flipped and remain equal.
Division Property of Equality
If two numbers are equal, both sides of the equation can be divided by the same nonzero quantity and remain equal.
Multiplication Property of Equality
If two numbers are equal, both sides of the equation can be multiplied by the same quantity and remain equal.
Transitive Property
If one number equals a second, and the second equals a third, then the first equals the third.
Subtraction Property of Equality
If two numbers are equal, the same quantity can be subtracted from each without affecting the equality.
Substitution Property
A value may be substituted for its equal in any expression or equation.
Addition Property of Equality
If two numbers are equal, the same quantity can be added to each without affecting the equality.
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