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Lesson: Systems of Linear Inequalities

Lesson: Systems of Linear Inequalities

Assessment

Presentation

•

Mathematics

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9th Grade

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Easy

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CCSS
HSA.REI.D.12, 6.EE.B.6, 8.EE.C.7B

Standards-aligned

Created by

Christopher Gassler

Used 3+ times

FREE Resource

5 Slides • 5 Questions

1

Multiple Choice

Do you have your phone in the box, notebook out, and ready to take notes? ​
(you will need to take a picture and upload it at the end)

1

YES I have my notebook out

2

No, I know it means a bad grade

2

Systems of Linear Inequalities

Objective: Solve systems of linear inequalities and determine the solution sets.

3

Multiple Choice

Which of the following is the graph of

y>32x−5y>\frac{3}{2}x-5  

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4

​System of Inequalities

​Two or more Linear Inequalities.
The solution to a system of linear inequalities is the intersection of the half-planes formed by each linear inequality.

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​1) Graph both lines

2) Shade each area

3) Identify the overlap 

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COMPLETED EXAMPLE
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See BOTH on the same graph.

Then JUST the overlap of the shaded areas.

6

​EXAMPLE

​Solve the system of inequalities.

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​y < -2x + 1

y ≥ x - 4

7

Multiple Choice

Which graph represents the solution set to the system of inequalities below?

y≤−12x+2y\le-\frac{1}{2}x+2 and y>x−1y>x-1

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8

​EXAMPLE

​Solve the system of inequalities.

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​y < 4

y ≥ -2x - 3

9

Multiple Choice

Which graph represents the solution set to the system of inequalities below?

x>−1x>-1 and y≥2x+1y\ge2x+1

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10

Fill in the Blanks

Take a picture of the notes you took for this lesson.

Type answer...

pattern-tertiary
Do you have your phone in the box, notebook out, and ready to take notes? ​
(you will need to take a picture and upload it at the end)

1

YES I have my notebook out

2

No, I know it means a bad grade

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MULTIPLE CHOICE