Algebra 2 3-3 Guided Practice: Systems of Inequalities
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by Matthew Richardson
| 11 Questions
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Solve It! You want a car that is less than $20,000 after 5% sales tax is added. You want fuel costs under $2000 for the first 10,000 city miles you expect to drive next year. You estimate that the cost of gas will average $4 per gallon.
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Which car models meet your conditions? Select all that apply.
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Which model is the least expensive option that meets your conditions? Respond with only the letter corresponding to the model.
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Take Note: Define system of linear inequalities.
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Take Note: Define solution of a system of linear inequalities.
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Problem 1 Got It?
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Take Note: Describe the graph of a system of 2 intersecting linear inequalities.

How can you recognize the region that represents the solutions?

You may use the canvas to help illustrate your description.
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Problem 2 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.
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Problem 3 Got It? A pizza parlor charges $1 for each vegetable topping and $2 for each meat topping.

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You want at least 5 toppings for your pizza. You have $10 to spend on toppings. Which possible combinations of toppings can you afford? Select all that apply.
1 meat and 8 vegetables
3 meats and 3 vegetables
no meats and 10 vegetables
2 meats and 7 vegetables
5 meats and no vegetables
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Problem 4 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.
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Problem 4 Got It? What is the solution of the system of inequalities? Graph the solution.
Zoom and pan your graph to establish an appropriate viewing window.
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After graphing the system using the graphing utility, you may modify your hand-made graph in the previous item (if needed).
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Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
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