Distributive Property (7.PFA.2b #2)

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum or difference.

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CCSS.6.EE.A.3

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Use the distributive property to simplify: 3(x + 4)

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3x + 12

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CCSS.6.EE.A.3

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Use the distributive property to simplify: 6(x - 5)

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6x - 30

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CCSS.6.EE.A.3

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Use the distributive property to simplify: -7(-x + 4)

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7x - 28

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CCSS.6.EE.A.3

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Use the distributive property to simplify: -6(-y - 4)

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6y + 24

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CCSS.6.EE.A.3

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What does it mean to distribute in mathematics?

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To distribute means to multiply each term inside the parentheses by the term outside.

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CCSS.7.EE.A.1

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If a = 2, simplify: 4(a + 3)

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4(2 + 3) = 4 * 5 = 20

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CCSS.6.EE.A.2C

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If b = 5, simplify: 2(b - 1)

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2(5 - 1) = 2 * 4 = 8

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CCSS.6.EE.A.2C

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Use the distributive property to simplify: 5(2x + 3)

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10x + 15

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CCSS.6.EE.A.3

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Use the distributive property to simplify: 8(3 - y)

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24 - 8y

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CCSS.6.EE.A.3