Properties of Equality

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What is the Distributive Property of Equality?

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The Distributive Property states that a(b + c) = ab + ac. It allows you to distribute a multiplier across terms inside parentheses.

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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 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 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 Commutative Property of Addition?

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The Commutative Property of Addition states that the order in which two numbers are added does not change their sum. For example, a + b = b + a.

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What is the Identity Property of Addition?

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The Identity Property of Addition states that adding zero to any number does not change the number. For example, a + 0 = a.

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Solve for x: 3(x - 7) = 42. What property is used first?

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Distributive Property.

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Solve for x: 4x = 72. What property is used?

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Division Property of Equality.