5 Minute Check Complete in your notebook. Use one or more properties to rewrite each expression that...

Tuesday, Oct 30

5 Minute CheckComplete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis.1. 12 (w 3)2. (32 + e) + 143. 8 (c ) 4. (4 + r) + 5

5 Minute CheckComplete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis.1. 12 (w 3)5 Minute CheckComplete 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 36w5 Minute CheckComplete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis.2. (32 + e) + 145 Minute CheckComplete 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 + e5 Minute Check5 Minute Check5 Minute CheckComplete in your notebook. Use one or more properties to rewrite each expression that does not use parenthesis.4. (4 + r) + 55 Minute CheckComplete 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 + rTuesday, Dec 3Lesson 6.6

The Distributive PropertyThe Distributive PropertyObjective: To use Distributive Property to compute multiplication problems mentally and to rewrite algebraic expressions.

The Distributive PropertyAt the end of this lesson you should be able to answer the following question.

How can the Distributive Property help you simplify expressions?

The Distributive PropertyDistributive 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 + 4The Distributive PropertyFind 9 (4 )

The Distributive PropertyFind 9 (4 )

Remember that 4 = 4 +


9 (4 + )


9 (4 + ) = 36

Step 1 Multiply the term outside the parenthesis by the first term inside the parenthesis.


9 (4 + ) = 36 +

Step 2 Bring the operation inside the parenthesis across to the new expression.


9 (4 + ) = 36 +

Step 3 Multiply the term outside the parenthesis by the second term inside the parenthesis.


9 (4 + ) = 36 + 36 + 3 = 39

Step 4 Simplify any fractions and perform the operation.


9 (4 + ) = 36 + 36 + 3 = 39

This is the work to be shown on tonights homework.


Ste p 1 - ?


5 (2 + ) = 10

Ste p 2 - ?


5 (2 + ) = 10 +

Ste p 3 - ?


5 (2 + ) = 10 +

Ste p 4 - ?


5 (2 + ) = 10 + 10 + 3 = 13

This is the work to be shown on tonights homework.

The Distributive PropertyThe Distributive PropertyThe Distributive PropertyUse the Distributive Property to rewrite 2 (x + 3)

Use the same steps as before.

Step 1 - ?

The Distributive PropertyUse the Distributive Property to rewrite 2 (x + 3)

2 (x + 3) = 2 x

Step 2 - ?


2 (x + 3) = 2 x +

Step 3- ?


2 (x + 3) = 2 x + 6

Step 4- ?


2 (x + 3) = 2 x + 6

The Distributive PropertyUse the Distributive Property to rewrite 8 (x + 4) .

Do this on your own.

The Distributive PropertyUse the Distributive Property to rewrite 8 (x + 4) .

8 (x + 4) = 8 x + 32

The Distributive PropertyUse the Distributive Property to rewrite 5 (9 + r) .


The Distributive PropertyUse the Distributive Property to rewrite 5 (9 + r) .

5 (9 + r) = 45+ 5 r

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

The Distributive PropertyFactor 12 + 8

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


How to factor out an expression.Step 2 Write each term as a product of the GCF and its remaining factor. 12 + 8 = 4 3 + 4 2


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




21 + 9 = 3 7 + 3 3 = 3 (7 + 3)




80 + 56 = 8 10 + 8 7 = 8 (10 + 7)

The Distributive PropertyFactor 4x + 16



4x + 16 = 4 x + 4 4 = 4 (x + 4)

The Distributive PropertyFactor 42 + 7x


The Distributive PropertyFactor 42 + 7x

42 + 7x = 7 6 + 7 x = 7 (6 + x)




36x + 30 = 6 6x + 6 5 = 6 (6x + 5)

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

The Distributive PropertyAgenda Notes

Homework Homework Practice 6-6Due Wednesday, Dec 4

Chapter 6 Test Friday, Dec 6 Help Session Thursday, Dec 52:15-3PM

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