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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 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 Identity Property of Addition?

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The Identity Property of Addition states that the sum of any number and zero is that number. For example, a + 0 = a.

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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 the sum. For example, (a + b) + c = a + (b + c).

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How do you solve for a variable in an equation?

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To solve for a variable, isolate the variable on one side of the equation using inverse operations.

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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 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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How do you set up an equation for a word problem?

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Identify the variables, translate the words into mathematical expressions, and set up an equation based on the relationships described.

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. Solutions are the points where the equations intersect.

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How do you eliminate a variable in a system of equations?

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You can eliminate a variable by adding or subtracting the equations or by multiplying one or both equations by a number to align coefficients.