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

Last updated over 5 years ago
10 questions
10

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.

  • 10 premium and 0 top-10
  • 2 top-10 and 7 premium
  • 4 top-10 and 3 premium
  • 9 premium and 1 top-10
  • 3 premium and 3 top-10
  • Can afford
  • Can not afford
10

Take Note: Define system of linear inequalities.

10

Take Note: Define solution of a system of linear inequalities.

10

Take Note: Graph an example of a system of linear inequalities that includes the point (2, 3) in its solution set. Zoom and pan your graph to establish an appropriate viewing window.

10

Problem 1 Got It? What is the graph of the system?
Include all relevant graph detail.

10

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

Problem 2 Got It? What system of inequalities is represented by the graph? Select 2 inequalities to build the system.

10

Problem 2 Got It? Reasoning: In the previous item, is the point where the boundary lines intersect a solution of the system? Explain.

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.

10

Take Note: Summarize the content of this lesson.