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

Last updated about 3 years ago
20 questions
3

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

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
  • 6 CDs and 6 books
  • 6 CDs and 9 books
  • 2 CDs and 13 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?

3

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

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

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

10

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

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.

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.

3

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

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.

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?

3

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

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.

3

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

10

Problem 4 Got It?

10

Problem 4 Got It?

10

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