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Algebra 2 3-3 Complete Lesson: Systems of Inequalities

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Posljednje ažuriranje over 4 years ago
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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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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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Pitanje 2
2.

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

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Pitanje 3
3.

Problem 1 Got It?

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Pitanje 4
4.

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

Pitanje 5
5.

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.

Pitanje 6
6.

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

Pitanje 7
7.

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

Pitanje 8
8.

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

Objavili smo novi i poboljšani tip pitanja za grafički prikaz! Studenti više neće moći odgovoriti na ovo pitanje.
Pitanje 9
9.

Reasoning: Fill in the blank.

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

Pitanje 11
11.

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

Pitanje 12
12.

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

Pitanje 13
13.

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

Pitanje 14
14.

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

  • x + y > 2

    3x + 2y ≤ 7

  • 2y > 4

    3x + 4y ≤ 14

  • x + 1 < 2

    3y + x < 1

  • (0, 0)

  • (1, 2)

  • (-1, 3)

Pitanje 15
15.

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.

Pitanje 16
16.

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

Pitanje 17
17.

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

Pitanje 18
18.

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

Pitanje 19
19.

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.

Pitanje 20
20.

Reflection: Math Success

Pitanje 1
1.

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