WARMUPS

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WARMUPS

• -5(3 5) (4 x 2)
• -19 3(1 -5)
• -48 6 x 5 3 12
• 3X 2X X 3X - 5X 4X - 3X

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VARIABLES AND EXPRESSIONS

• CHAPTER 1-3

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VARIABLES

• VARIABLE
• IT IS A PLACEHOLDER
• IT IS USUALLY LETTERS
• A VARIABLE IS A LETTER OR SIGN THAT REPRESENTS A
  NUMERICAL VALUE.
• WE USE VARIABLES IN MATH SENTENCES OR EXPRESSIONS.

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EXAMPLES OF VARIABLES

• X
• Y
• G
• B
• A
• W
• _at_

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WHAT IS AN EXPRESSION?

• AN EXPRESSION IS
• A COMBINATION OF NUMBERS
• A COMBINATION OF VARIABLES
• USES AT LEAST ONE MATH OPERATION
• ADD, SUBTRACT, DIVIDE, MULTIPLY

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EXAMPLES OF EXPRESSIONS

• A 2A 1/2 A
• 5 A 33 A
• 12(_at_) 3 - _at_
• 24R 16r 35 5r
• 24A 3B 5A 16B

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AN EXPRESSION NEVER, NEVER, NEVER, NEVER, NEVER,
NEVER, NEVER, NEVER NEVER HAS

• AN EQUAL SIGN!!!!!

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IF a 3, b 4, c 5

• EVALUATE EACH EXPRESSION
• a 5
• 3 5
• 8

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IF a 3, b 4, c 5

• EVALUATE EACH EXPRESSION
• a b ( c )
• 3 4 ( 5 )
• 3 20
• 23

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IF a 3, b 4, c 5

• EVALUATE EACH EXPRESSION
• a b c
• 3 4 5
• 7 5
• 12

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YOU DO THE MATHIF a 3, b 4, c 5

• EVALUATE EACH EXPRESSION
• (a)(b)(c)
• a b c

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The Distributive Property Combining Like Terms
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DISTRI BUTIVE PROPERTY

• CHAPTER 1-5

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WHAT IS THE DISTRIBUTIVE PROPERTY?

• IN WORDS THE SUM OF TWO ADDENDS MULTIPLIED BY A
  NUMBER IS THE SUM OF THE PRODUCT OF EACH ADDEND
  AND THE NUMBER
• GOT THAT!!!!!!!!!!!!

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OK WHAT DOES THAT MEAN
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WHAT IS THE DISTRIBUTIVE PROPERTY?

• OK MR. SKRTICH. SHOW ME ON THE BOARD WHAT THIS
  MEANS WHAT ABOUT THIS MAILMAN STUFF!!!!!

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WHAT IS THE DISTRIBUTIVE PROPERTY?

• IN SYMBOLS
• A(B C) AB AC
• GOT THAT!!!!!!!!!!!!

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THE DISTRIBUTIVE PROPERTY

• 3(4 6) 3x4 3x6
• 3(4 6) 12 18
• 3(4 6) 30
• 30 30

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ANOTHER DISTRIBUTIVE PROPERTY
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THE REVERSE DISTRIBUTIVE PROPERTY

• 12X 18 X
• 12X 18X X(12 18)
• X (12 18) 6X(2 3)

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THE REVERSE DISTRIBUTIVE PROPERTY

• 21X2 18 X3
• 21X2 18X3 X2(21 18X)
• X2 (21 18X) 3X2(7 6X)

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SIMPLIFYING EXPRESSIONS
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Like Terms are expressions that contain the same
variable raised to the same power like 4mn and
7mn.
The 8x and 3x are like terms and can be combined.
11x y
8x 3x y
4x2 2 x2 6
4x2 1 x2 2 6
Group like terms.
5x2 8
Combine like terms.
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The product of a and (b c)
a(b c) ab ac
2(x 5)
2(x) 2(5)
2x 10


(x)2 (5)2

2x 10
(b c)a ba ca
(x 5)2

y(1 x)
y(1) y(x)
y xy


(1 5x)2
(1)2 (5x)2
2 10x


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(3)(1 x)
(3)(1) (3)(x)
3 3x
(y 5)(2)
(y)(2) (5)(2)
2y 10
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Sometimes you will need to use the Distributive
Property in Reverse.
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2(7 3x)
(2)(7) (2)(3x)
14 6x
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Find the perimeter of the following figure.
4x 3y
3x -2y
3x -2y
2x
To find the perimeter, add the sides together.
3x 2y 3x -2y 4x 3y 2x
12x -y
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Find the perimeter of the following figure.
TRY THIS
5x y
5x y
6x 2y
To find the perimeter, add the sides together.
5x y 5x y 6x - 2y
16x
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The Distributive Property Combining Like Terms
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DONT FORGET SIMPLIFYING EXPRESSIONS!!!!!!!

• 9g 9g 18g
• 23p 29p 3p 55p
• 13A 2A 11A
• 13A 2A 9
• 11A 9
• 11A 9 11A 9
• 13(b 3) 13b 39
• 13(b 3) 5
• 13b 39 5
• 13b 44

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HOMEWORK EXERCISE 30 and DISTRIBUTIVE PROBLEMS
36 - 56

• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN