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5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 1. 12 · (w · 3) 2. (32 + e) + 14 3. 8 · (c · ) 4. (4 + r) + 5

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5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 1. 12 · (w · 3)

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5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 1. 12 · (w · 3) 12 · w · 3 36 · w or 36w

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5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 2. (32 + e) + 14

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5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 2. (32 + e) + 14 32 + e + 14 46 + e

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5 Minute Check

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Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) + 5

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5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis. 4. (4 + r) + 5 4 + r + 5 9 + r

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Tuesday, Dec 3 Lesson 6.6 The Distributive Property

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Objective: To use Distributive Property to compute multiplication problems mentally and to rewrite algebraic expressions.

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The Distributive Property At the end of this lesson you should be able to answer the following question. How can the Distributive Property help you simplify expressions?

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The Distributive Property Distributive Property – To multiply a sum by a number, multiply each addend by the number outside the parenthesis. e.g. 4 · (3 + 1) = 4 · 3 + 4 · 1= 12 + 4 = 16 e.g. 4 · (a + 1) = 4 · a + 4 · 1 or 4a + 4

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The Distributive Property Find 9 (4 )

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The Distributive Property Find 9 (4 ) Remember that 4 = 4 +

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The Distributive Property Find 9 (4 ) 9 (4 + )

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The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 Step 1 – Multiply the term outside the parenthesis by the first term inside the parenthesis.

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The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + Step 2 – Bring the operation inside the parenthesis across to the new expression.

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The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + Step 3 – Multiply the term outside the parenthesis by the second term inside the parenthesis.

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The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + 36 + 3 = 39 Step 4 – Simplify any fractions and perform the operation.

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The Distributive Property Find 9 (4 ) 9 (4 + ) = 36 + 36 + 3 = 39 This is the work to be shown on tonight’s homework.

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The Distributive Property Find 5 (2 ) Ste p 1 - ?

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The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 Ste p 2 - ?

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The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 + Ste p 3 - ?

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The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 + Ste p 4 - ?

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The Distributive Property Find 5 (2 ) 5 (2 + ) = 10 + 10 + 3 = 13 This is the work to be shown on tonight’s homework.

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The Distributive Property

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Use the Distributive Property to rewrite 2 (x + 3) Use the same steps as before. Step 1 - ?

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The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x Step 2 - ?

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The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x + Step 3- ?

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The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x + 6 Step 4- ?

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The Distributive Property Use the Distributive Property to rewrite 2 (x + 3) 2 (x + 3) = 2 x + 6

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The Distributive Property Use the Distributive Property to rewrite 8 (x + 4). Do this on your own.

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The Distributive Property Use the Distributive Property to rewrite 8 (x + 4). 8 (x + 4) = 8 x + 32

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The Distributive Property Use the Distributive Property to rewrite 5 (9 + r). Do this on your own.

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The Distributive Property Use the Distributive Property to rewrite 5 (9 + r). 5 (9 + r) = 45+ 5 r

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The Distributive Property You can use the Distributive Property to factor out a numeric or algebraic expression.

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The Distributive Property Factor 12 + 8 How to factor out an expression. Step 1 – Determine the GCF of each term. The GCF of 12 and 8 is 4.

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The Distributive Property Factor 12 + 8 How to factor out an expression. Step 2 – Write each term as a product of the GCF and it’s remaining factor. 12 + 8 = 4 · 3 + 4· 2

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The Distributive Property Factor 12 + 8 How to factor out an expression. Step 3 – Factor out the GCF. 12 + 8 = 4 · 3 + 4· 2 = 4 (3 + 2)

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The Distributive Property Factor 21 + 9 Do this on your own.

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The Distributive Property Factor 21 + 9 21 + 9 = 3 · 7 + 3 · 3 = 3 (7 + 3)

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The Distributive Property Factor 80 + 56 Do this on your own.

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The Distributive Property Factor 80 + 56 80 + 56 = 8 · 10 + 8 · 7 = 8 (10 + 7)

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The Distributive Property Factor 4x + 16 Do this on your own.

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The Distributive Property Factor 4x + 16 4x + 16 = 4 · x + 4 · 4 = 4 (x + 4)

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The Distributive Property Factor 42 + 7x Do this on your own.

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The Distributive Property Factor 42 + 7x 42 + 7x = 7 · 6 + 7 · x = 7 (6 + x)

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The Distributive Property Factor 36x + 30 Do this on your own.

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The Distributive Property Factor 36x + 30 36x + 30 = 6 · 6x + 6 · 5 = 6 (6x + 5)

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The Distributive Property How can the Distributive Property help you simplify expressions?

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The Distributive Property Agenda Notes Homework – Homework Practice 6-6 Due Wednesday, Dec 4 Chapter 6 Test –Friday, Dec 6 Help Session Thursday, Dec 5 2:15-3PM

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