Properties of Equality

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What is the Addition Property of Equality?

Back

If you add the same number to both sides of an equation, the two sides remain equal.

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What is the Subtraction Property of Equality?

Back

If you subtract the same number from both sides of an equation, the two sides remain equal.

Front

What is the Multiplication Property of Equality?

Back

If you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Division Property of Equality?

Back

If you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What does it mean to Combine Like Terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.

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What is the Commutative Property of Addition?

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The Commutative Property of Addition states that changing the order of the addends does not change the sum.

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What is the Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped does not change their sum.

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What is the Reflexive Property of Equality?

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The Reflexive Property states that any quantity is equal to itself (a = a).

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What is the Transitive Property of Equality?

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If a = b and b = c, then a = c.