a variable is an unknown quantity. for example: what goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 =...

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2.5 The Distributive Property

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Think of x as being a jar of jelly beans. X = So, 4x = We don’t know how many jelly beans are in the jar, so we give it a name, x. Suppose that there are 300 jelly beans in each jar, then x = 300. How many would be in 4 jars? X = We have 4 x’s, so 4(300) =

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Page 1: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

2.5 The Distributive Property

Page 2: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

Understanding Variables

A variable is an unknown quantity. For example:

What goes in the box? 7

3 + 7 = 10

3 + ? = 10

10 = 10

Page 3: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

MEANS 4 TIMES THE SET OF X.4XThink of x as being a jar of jelly beans. X =

So, 4x = We don’t know how many jelly beans are in the jar, so we give it a name, x.

Suppose that there are 300 jelly beans in each jar, then x = 300.

How many would be in 4 jars? X = 300300

We have 4 x’s , so 4(300) =1200 300 300300300

Set Theory

Page 4: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

Area of rectangles

Remember: Area = length * width

Area = length * width

Area = (x+2) * 3

Find the area of the rectangle.

AREA = 3 ( x + 2 )

Page 5: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

Distributive Property

3 ( x + 2 )

3 ( x ) + 3 ( 2 )

3x + 6

Hippity – Hoppity, Distributive Property

Hippity

Hoppity

♫♪♪ ♫♪♪

Page 6: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

Examples

You Try It!

Page 7: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

Terms: -x , 2x, 8 Coefficients: -1 , 2

Constant Term: 8 Like Terms: -x , 2x

Terms and Coefficients

Page 8: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

You Try It!

3x – 4 – 6x + 2

Page 9: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

How many chickens?

How many Horses?

How many pigs?

3

2

1

3 12

You cannot combine different animals!

Combining Like Terms

Make sets out of like terms

Page 10: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

2526533 yzxzyx

Combine the like terms.

25)52()3()63( yzzyxx

x9 y3 z7 25y

Page 11: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

TAKS Practice

Page 12: A variable is an unknown quantity. For example: What goes in the box? 7 3 + 7 = 10 3 + ? = 10 10 = 10

Pg. 99-100 5-40

CLASS WORK / HOME WORK