Distributive Property and Combining Like Terms (24)

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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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Back

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CCSS.6.EE.A.3

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What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3x^2 are not.

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CCSS.6.EE.A.2B

Front

Simplify: -10x + 15 - 3x + 2

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CCSS.7.EE.A.1

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What does it mean to combine like terms?

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Combining like terms means to add or subtract coefficients of terms that have the same variable and exponent.

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CCSS.7.EE.A.1

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Simplify: 3 + 5x + 8 - 2x

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CCSS.7.EE.A.1

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What is the first step in simplifying an expression?

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The first step is to identify and combine like terms.

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CCSS.7.EE.A.1

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Simplify the expression: 3x + 2y - 5x + 4y

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CCSS.7.EE.A.1

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What is the result of combining 4x and -2x?

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2x

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CCSS.7.EE.A.1

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Simplify: -2y + 8 + 7y + 5

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CCSS.7.EE.A.1