Distributive Property with Equations

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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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CCSS.6.EE.A.3

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Simplify: 3(2x + 4)

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6x + 12

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CCSS.6.EE.A.3

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What does it mean to simplify an expression?

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To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating parentheses.

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CCSS.7.EE.A.1

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CCSS.7.EE.B.4A

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What is a variable in an equation?

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A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

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CCSS.6.EE.A.2B

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CCSS.7.EE.B.4A

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What is the first step in solving an equation using the Distributive Property?

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The first step is to apply the Distributive Property to eliminate parentheses.

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CCSS.8.EE.C.7B

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Simplify: 5(3x - 2) + 4

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15x - 10 + 4 = 15x - 6

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CCSS.6.EE.A.3

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CCSS.7.EE.B.4A

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Define 'like terms'.

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Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

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CCSS.6.EE.A.2B