Algebra 1 6-6 Guided Practice: Systems of Linear Inequalities
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Last updated about 4 years ago
11 questions
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A.REI.12
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A.REI.12
20
A.REI.12
Question 1
1.
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Question 2
2.
Take Note: Define system of linear inequalities.
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Question 5
5.
Problem 1 Got It? What is the graph of the system?
Include all relevant graph detail.
Question 6
6.
Problem 1 Got It? What is the graph of the system?
After graphing with this Desmos utility, you may revise your response to the previous item.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
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A.REI.12
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Question 9
9.
Problem 2 Got It?Reasoning: In the previous item, is the point where the boundary lines intersect a solution of the system? Explain.
A.REI.12
Question 10
10.
Problem 3 Got It? You want to build a fence for a rectangular dog run. You want the run to be at least 10 ft wide. The run can be at most 50 ft long. You have 126 ft of fencing. What is a graph showing the possible dimensions of the dog run? Include all relevant graph detail.
You may complete your work on paper or on a whiteboard and upload a clear picture of it to the canvas.
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Question 11
11.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Solve It! You want to buy at least 6 new ring tones from a website, but you cannot spend more than $15.
How many premium ring tones and how many top-10 ring tones can you buy?
Categorize each combination of ring tones in the left column below based on affordability.
9 premium and 1 top-10
2 top-10 and 7 premium
3 premium and 3 top-10
4 top-10 and 3 premium
10 premium and 0 top-10
Can afford
Can not afford
Question 3
3.
Take Note: Define solution of a system of linear inequalities.
Question 4
4.
Take Note:
Graph the point (2,3).
On the same plane, graph an example of a system of 2 linear inequalities that includes the point (2, 3) in its solution set.
Zoom and pan your graph to establish an appropriate viewing window.
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 7
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Question 8
8.
Take Note: When the boundary lines of a system of linear inequalities intersect, the point of intersection is sometimes included in the solution set of the system. In which scenario(s) below is the point of intersection NOT a solution of the system? Select all that apply.
One boundary line is solid and the other is dashed
Both boundary lines are dashed
Both boundary lines are solid
Problem 2 Got It? What system of inequalities is represented by the graph? Select 2 inequalities to build the system.
