Algebraic Proof

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What is the Distributive Property?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.

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What is the Addition Property of Equality?

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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.

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What is the Subtraction Property of Equality?

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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 Multiplication Property of Equality?

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

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What is the Division Property of Equality?

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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.

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What is the Reflexive Property of Equality?

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The Reflexive Property of Equality states that any quantity is equal to itself, e.g., a = a.

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What is the Symmetric Property of Equality?

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The Symmetric Property of Equality states that if a = b, then b = a.

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What is the Transitive Property of Equality?

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The Transitive Property of Equality states that if a = b and b = c, then a = c.

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What does 'Given' mean in algebraic proofs?

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'Given' refers to the information or conditions that are provided at the start of a proof.

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What does 'Prove' mean in algebraic proofs?

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'Prove' refers to the conclusion or statement that you are trying to demonstrate as true in a proof.