Algebra 2 3-3 Complete Lesson: Systems of Inequalities

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by Matthew Richardson

| 20 QuestionsNote from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

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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.

1

10 pts

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

A

B

C

D

E

F

G

H

2

5 pts

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

3

3

10 pts

Problem 1 Got It?

A

B

C

D

4

40 pts

Problem 2 Got It? What is the solution of the system of inequalities? Graph the solution on the canvas. Include relevant graph detail.

5

10 pts

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.

5 meats and no vegetables

no meats and 10 vegetables

1 meat and 8 vegetables

2 meats and 7 vegetables

3 meats and 3 vegetables

6

40 pts

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

7

15 pts

Graph the system of inequalities by graphing then identify one solution to the system. Include relevant graph detail.

8

10 pts

Graph the system of inequalities by graphing. Zoom and pan you graph to establish a suitable viewing window.

9

5 pts

Reasoning: Fill in the blank.

The solution of a system of linear inequalities is the __?__ of the solutions of the two inequalities?

union

intersection

11

10 pts

Error Analysis: Describe and correct the error made in solving the system of inequalities shown below.

12

10 pts

Review Lesson 3-2: Solve the system using elimination or substitution. Show your work on the canvas.

13

10 pts

Review Lesson 3-2: Solve the system using elimination or substitution. Show your work on the canvas.

14

15 pts

Review Lesson 3-3: Place each system with the ordered pair that represents a solution of the system.

- x + y > 23x + 2y ≤ 7
- 2y > 43x + 4y ≤ 14
- x + 1 < 23y + x < 1

- (0, 0)
- (1, 2)
- (-1, 3)

15

10 pts

Vocabular Review: Complete each statement with the correct word or phrase from the list.

- minimum
- at least
- at most

- The football team needs __?__ two more wins to clinch the division title.
- The __?__ height a person must be to ride the roller coaster is 42".
- If you have $45 and sweaters cost $20, you can buy __?__ two sweaters.

16

10 pts

Use Your Vocabulary: Classify each math statement based on whether or not it is an inequality.

- 15x > 3y
- y ≤ x
- p = t - 17
- r ≠ s

- Inequality
- NOT an inequality

17

10 pts

Use Your Vocabulary: Fill in each blank with an inequality symbol from the list provided.

- <
- >
- ≤
- ≥

- y < 6, so 6 _?_ y
- b ≥ 10, so 10 _?_ b
- r ≤ s + t, so s + t _?_ r

18

10 pts

Use Your Vocabulary: Identify the inequality symbol that corresponds to each verbal expression.

- <
- >
- ≤
- ≥

- p is at most 10
- u is greater than m
- z is at least 9

19

100 pts

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

20

10 pts

Reflection: Math Success

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