Solving Equations and Algebraic Proofs Review

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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. For example, a + b = b + a.

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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 Associative Property of Addition?

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The Associative Property of Addition states that the way in which numbers are grouped in addition does not change their sum. For example, (a + b) + c = a + (b + c).

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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. For example, if a = b, then a - c = b - c.

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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. For example, if a = b, then a + c = b + c.

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What is the purpose of the Distributive Property in solving equations?

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The Distributive Property helps to eliminate parentheses, making it easier to combine like terms and isolate the variable.