Algebra 2 2-8 Guided Practice: Two-Variable Inequalities

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Solve It! You have a gift card for a store that sells used CDs and paperback books.
How many of each type of item can you afford? Categorize each purchasing scenario.

9 CDs
16 books
2 CDs and 13 books
6 CDs and 9 books
6 CDs and 6 books

Can afford
Can NOT afford

10

Solve It! You have a gift card for a store that sells used CDs and paperback books.
Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

6 CDs and 5 books

2 CDs and 13 books

9 CDs

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Take Note: Define linear inequality.

5

Take Note: Provide an example of a simplified linear inequality in two variables that satisfies the following conditions:
◆ includes the variables x and y
◆ is in slope-intercept form ◆ uses "is less than or equal to"
Remember that you can use "<=" or ">=" for "*or equal to" inequality symbols.

10

Take Note: Define boundary as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

10

15

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

A.CED.2

15

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

A.CED.2

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

15

Problem 2 Got It? Suppose that you decide to spend no more than $30 for tickets. Graph an inequality to represent all possible combinations of ticket types. Construct your graph on the canvas using colors other than black. Include relevant graph detail and establish the scale of the axes.

A.CED.2

10

Problem 2 Got It? Reasoning: Why does the graph in the previous item only include Quadrant I? Hint: Do the other quadrants make sense in this context?

A.CED.2

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

15

Problem 3 Got It? What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

A.CED.2

F.IF.7.b

3

Video Check: Select all that apply with regards to the video embedded directly above this item.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

10

Problem 4 Got It?

A

B

C

D

A.CED.2

F.IF.7.b

10

Problem 4 Got It?

A

B

C

D

A.CED.2

F.IF.7.b

10

Algebra 2 2-8 Guided Practice: Two-Variable Inequalities

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
How many of each type of item can you afford? Categorize each purchasing scenario.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define linear inequality.

Take Note: Define boundary as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Suppose that you decide to spend no more than $30 for tickets. Graph an inequality to represent all possible combinations of ticket types. Construct your graph on the canvas using colors other than black. Include relevant graph detail and establish the scale of the axes.

Problem 2 Got It? Reasoning: Why does the graph in the previous item only include Quadrant I? Hint: Do the other quadrants make sense in this context?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It? What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

Problem 4 Got It?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
How many of each type of item can you afford? Categorize each purchasing scenario.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define linear inequality.

Take Note: Define boundary as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Take Note: Define half-plane as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Take Note: Define test point. Be sure to explain how test points can be used when graphing or checking graphs of linear inequalities.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Suppose that you decide to spend no more than $30 for tickets. Graph an inequality to represent all possible combinations of ticket types. Construct your graph on the canvas using colors other than black. Include relevant graph detail and establish the scale of the axes.

Problem 2 Got It? Reasoning: Why does the graph in the previous item only include Quadrant I? Hint: Do the other quadrants make sense in this context?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It? What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

Problem 4 Got It?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Define half-plane as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Take Note: Define test point. Be sure to explain how test points can be used when graphing or checking graphs of linear inequalities.

Algebra 2 2-8 Guided Practice: Two-Variable Inequalities

Algebra 2 2-8 Guided Practice: Two-Variable Inequalities

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have a gift card for a store that sells used CDs and paperback books. How many of each type of item can you afford? Categorize each purchasing scenario.

Solve It! You have a gift card for a store that sells used CDs and paperback books. Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define linear inequality.

Take Note: Define boundary as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Suppose that you decide to spend no more than $30 for tickets. Graph an inequality to represent all possible combinations of ticket types. Construct your graph on the canvas using colors other than black. Include relevant graph detail and establish the scale of the axes.

Problem 2 Got It? Reasoning: Why does the graph in the previous item only include Quadrant I? Hint: Do the other quadrants make sense in this context?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It? What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

Problem 4 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! You have a gift card for a store that sells used CDs and paperback books. How many of each type of item can you afford? Categorize each purchasing scenario.

Solve It! You have a gift card for a store that sells used CDs and paperback books. Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define linear inequality.

Take Note: Define boundary as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Take Note: Define half-plane as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Take Note: Define test point. Be sure to explain how test points can be used when graphing or checking graphs of linear inequalities.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Problem 1 Got It? What is the graph of the inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail: a solid or dashed boundary line with an arrow at each end and shading above or below the boundary line.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It? Suppose that you decide to spend no more than $30 for tickets. Graph an inequality to represent all possible combinations of ticket types. Construct your graph on the canvas using colors other than black. Include relevant graph detail and establish the scale of the axes.

Problem 2 Got It? Reasoning: Why does the graph in the previous item only include Quadrant I? Hint: Do the other quadrants make sense in this context?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 3 Got It? What is the graph of the absolute value inequality? Graph the inequality on the canvas using colors other than black. Include all relevant graph detail.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 4 Got It?

Problem 4 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Define half-plane as it pertains to linear inequalities in two variables. You may use the canvas to illustrate your explanation.

Take Note: Define test point. Be sure to explain how test points can be used when graphing or checking graphs of linear inequalities.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
How many of each type of item can you afford? Categorize each purchasing scenario.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Solve It! You have a gift card for a store that sells used CDs and paperback books.
How many of each type of item can you afford? Categorize each purchasing scenario.

Solve It! You have a gift card for a store that sells used CDs and paperback books.
Suppose you want to use as much of the gift card as possible. Which purchasing option leaves the smallest balance on the gift card?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?