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Algebra 1 6-6 Guided Practice: Systems of Linear Inequalities

By Matt Richardson
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Last updated almost 2 years ago
11 Questions
10
1.
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.
  • 4 top-10 and 3 premium
  • 2 top-10 and 7 premium
  • 10 premium and 0 top-10
  • 9 premium and 1 top-10
  • 3 premium and 3 top-10
  • Can afford
  • Can not afford
10
2.
Take Note: Define system of linear inequalities.
10
3.
Take Note: Define solution of a system of linear inequalities.
10
4.
Take Note:
  1. Graph the point (2,3).
  2. On the same plane, graph an example of a system of 2 linear inequalities that includes the point (2, 3) in its solution set.
  3. Zoom and pan your graph to establish an appropriate viewing window.
10
5.
Problem 1 Got It? What is the graph of the system?
Include all relevant graph detail.
A.REI.12
10
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.
A.REI.12
10
7.
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.
10
8.
Problem 2 Got It? What system of inequalities is represented by the graph? Select 2 inequalities to build the system.
A.REI.12
10
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
20
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.
A.REI.12
10
11.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?