1st Period Assigned Seats

Tyler Wilkinson

(12)Noah

Baldizan(1)Alex

Miller (8)Casey

Fuller(3)Jimmie

Fleming (2)

Daniel Kane (5)

(moon table)

Jaime Lopez (6)

Tommy Macintyre

(7)

Maddie Robinson

(9)Derrick

Smith (10)

Alexandria Gutierrez

(4)Jesse

Vera (11)

5th Period Assigned Seats

Coral Williams (9)

Jeremy Honeycutt

(6)Patrick

Cantu (4)Justin

Cambell (2)Vivian

Montero (7)

Shayla Cambell (3)

LucusSams (8)

Isis Hernandez

(5)

Agenda & News

Assigned Seats Review Distributive property,

combining like terms, simplifying and one & two-step equations

Assignment Get Ready Topic 1 Ticket Out

First holiday, Monday, September 7th Labor day – No School

Distributive Property

What does this mean?!?!?! To distribute means to give

something to each member of a group.

Algebra example:a(b+c)= ab + ac

Example of Real-World Distribution

Wal-mart Distribution Center: Plainview, Texas

Pottstown

Lubbock, TX

Example 1

5(3 + 2)

Proof: 5(3+2) = 5(5) = 25

15+ 10= 25

Algebraic Expressions

The distributive property can be used to re-write algebraic expressions.

Use the same process…multiply what’s on the outside of the parenthesis by each term within the parenthesis

Remember Algebraic Expressions are just expressions, you do not have to solve them. They may be number or they might be letters.

Let’s see what that looks like…

Example 2

Note: In this instance 3x and 3 are not like terms. Therefore, you cannot combine them…so the

expression is simplified to just 3x + 3 – more on this later in the lesson…

3(x + 1)

+ 33x

Distribution - Example 3

3 (2 + 1 ) =6 + 3

Proof:

3(2b+1f)=6b+3f

Example - Common Error

THIS IS INCORRECT!

3(x - 1)

- 13x

Combining like terms

In order to simplify expressions and equations you have will need to know how to combine like terms. You can only combine terms that have

the same co-efficient. Numbers and variables cannot be

combined.

Combining Like Terms - Example 2

5 (7 + 3 +1) =35 + 15 +5

=50 +5

5 (7a +3a+1)=35a2 +15a2+5 = 50a+5

Practice

Simplify by distributing and/or combining like terms

1. 15x + (-4x)2. 5(x + 2) + 3x3. 4 + a + a – a 4. 8b + 5 – 3(2b – 4) 5. 9x3 – 2y – 2x + 4x3

= 11X= 5x+10+3x = 8x+10

= a + 4 (variables are listed first by highest power) =8b+5 – 6b+12

=2b+17= 13x3 – 2x – 2y Variables should be alphabetical order.Also, x3 and x cannot be combined because they have different powers.

Solving linear equations

When working to get the variable isolated and all alone on one side of the equals sign, use the opposites rule.Opposites Rule – to get rid of a term from either side of an equation, just do the opposite operation.

Number to move: the “5”x + 5 = 7

Operation being used: “+”

Opposite of “+”: “-”

Example 1:

- 5 - 5x = 2

Practice

74x44 3x82x22

10x

Remember….

Note: when a co-efficient(a number) sits next to a variable with nothing in between the two, the operation is multiplication.

So to undo the multiplication, you will divide.

Number to move: the “2”2x = 16

Operation being used: “x”

Opposite of “x”: “”

Example 3:

x = 8 2 2

Example 4:Divide each side by negative 3

x = -7

-3x = 21-3 -3

Remember…

Note: When a number is written as a fraction, the operation is division.

So, to undo division, you will multiply.

Example 5:

Number to move: the “2”x = 8

Operation being used: “”

Opposite of “”: “x”

2

Practice

72

x

22 14x

126

x

)6()6( 72x

Assignment

Kuta Assignment

Ticket out

Solve the following linear equations1. 3x=9

2. 5x=20

3. =9