CH2 Common Properties in Proofs

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What is the Distributive Property of Equality (POE)?

Back

The Distributive Property of Equality states that for any numbers a, b, and c, a(b + c) = ab + ac. It allows you to distribute a multiplication over addition or subtraction.

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What does it mean to Combine Like Terms in algebra?

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

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What is the Transitive Property of Congruence (POC)?

Back

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What is the Division Property of Equality (POE)?

Back

The Division Property of Equality states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal.

Front

What is the Subtraction Property of Equality (POE)?

Back

The Subtraction Property of Equality states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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What is the Simplification process in algebra?

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Simplification is the process of reducing an expression to its simplest form by performing operations and combining like terms.

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What is the Symmetric Property of Congruence (POC)?

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Front

What is an example of using the Distributive Property?

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Front

How do you apply the Combine Like Terms method?

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What is the purpose of the Addition Property of Equality (POE)?

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The Addition Property of Equality states that if you add the same number to both sides of an equation, the two sides remain equal.