Algebra 2 3-3 Guided Practice: Systems of Inequalities

by Matthew Richardson

| 11 Questionsa

1

2

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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10

Which car models meet your conditions? Select all that apply.

A

B

C

D

E

F

G

H

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5

Which model is the least expensive option that meets your conditions? Respond with only the letter corresponding to the model.

3

4

3

10

Take Note: Define system of linear inequalities.

4

10

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

5

5

10

Problem 1 Got It?

A

B

C

D

6

6

10

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.

7

40

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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10

Problem 3 Got It? A pizza parlor charges $1 for each vegetable topping and $2 for each meat topping.

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

9

40

Problem 4 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.

10

10

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.

After graphing the system using the graphing utility, you may modify your hand-made graph in the previous item (if needed).

11

11

10

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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