Solving Equations - Combining Like Terms & Distributive Property

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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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x = 4

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CCSS.7.EE.B.4A

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What does it mean to combine like terms?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

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CCSS.7.EE.A.1

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x = 6

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Add 8 to both sides.

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CCSS.7.EE.B.4A

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x = 4

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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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x = -5

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CCSS.7.EE.B.4A

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What is the purpose of isolating the variable in an equation?

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Isolating the variable allows you to solve for its value by getting it alone on one side of the equation.

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CCSS.7.EE.B.4A

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x = -6

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CCSS.7.EE.B.4A