Algebra 2 3-3 Complete Lesson: Systems of Inequalities

Last updated almost 4 years ago

20 questions

Note 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.

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. 

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

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

Problem 1 Got It?

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

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.

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

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

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

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

Reasoning: Fill in the blank.

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

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

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

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)

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.

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

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

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

100

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.

Algebra 2 3-3 Complete Lesson: Systems of Inequalities

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

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

Problem 1 Got It?

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

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.

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

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

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

Reasoning: Fill in the blank.The solution of a system of linear inequalities is the __?__ of the solutions of the two inequalities?

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

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

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

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

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

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

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

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

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.

Reflection: Math Success

Reasoning: Fill in the blank.

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

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.