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Algebra Room 424 Ms. Miller

Please sign in next to your name on the sheet by the door.

I have pencils, pens, paper, if you need it.

I will be available in my room from 12:00 - 12:30 for tutoring on Tuesdays and Thursdays if you ever want extra help. (PLEASE LET ME KNOW AHEAD OF TIME)

The day’s lesson and the homework will be posted to my website by the end of each day.

www.mrsmillersmathtutoring.com

Always feel free to email me with any questions or concerns.

jmiller1@camdencc.edu

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Use your Aztec accounts!

Continue using this email during the School Year

jmiller1@camdencc.edu

Use this email if you need me for ANYTHING over the summer

absjmiller@gmail.com

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Warm Up: You have 10 minutes to work on these problems. Then we will go over them.

Numbers 54 and 11 from yesterday’s packet.

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Warm Up: You have 10 minutes to work on these problems. Then we will go over them.

Numbers 54 and 11 from yesterday’s packet.

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Homework

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Workbook page 76

SYSTEMS OF EQUATIONS

A system of equations is a collection of equations that use the same variables.

In a system, a variable represents the same quantity in each equation.

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Workbook page 76

Suppose the area of a rectangle is 40 square inches and the perimeter of the same rectangle is 28 inches.

Area and perimeter are found using length (L) and width (W).

You can use this information to write a system about the rectangle.

Both equations use the same variables, and both are about the same rectangle.

The brace shows that the equations are part of a system.

The values for L and W that make the first equation true will also make the second equation true.

This system is true when L=10 and W=4.

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Workbook page 76

Solving a system means finding the values of the variables.

One way to solve a system is by graphing the equations..

You can do this with:

A table of values

OR

Using the Slope and y-Intercept

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Workbook page 76

SOLVING A SYSTEM BY GRAPHING

Example: Solve

 

STEP 1: Let’s graph these equations using their Slope and y-intercept

 

 

 

 

 

 

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Workbook page 76

SOLVING A SYSTEM BY GRAPHING

Example: Solve

 

 

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Workbook page 77

 

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Workbook page 77

A system with infinite solutions appears to be one line because both lines occupy the same space.

Every point on one line coincides with a point on the other line.

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Workbook page 77

Solve by graphing.

 

 

Solution:

 

 

 

 

 

 

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Workbook page 77

Solve by graphing.

2.

 

 

Solution:

 

 

 

 

 

 

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Workbook page 77

Solve by graphing.

3.

 

Solution:

HOMEWORK

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Workbook page 77

Solve by graphing.

4.

 

Solution:

HOMEWORK

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HOMEWORK

Page 77, numbers 3 & 4