combining like terms and distributive property

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What is the process of combining like terms in an expression?

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Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, in the expression 3x + 4x, you can combine the like terms to get 7x.

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CCSS.7.EE.A.1

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CCSS.7.EE.A.1

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A variable can be _______?

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Any letter of the alphabet.

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CCSS.6.EE.A.4

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Simplify: 15x + 19 + 2x + 4

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17x + 23

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CCSS.7.EE.A.1

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Simplify by combining like terms: 5a + 2b - 3a + 4

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2a + 2b + 4

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CCSS.7.EE.A.1

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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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CCSS.6.EE.A.3

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What are like terms?

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

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CCSS.6.EE.A.2B

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CCSS.6.EE.A.2C