Graphing Two-Variable Inequalities
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Objective
I can write inequalities to represent real-world constraints and determine possible solutions by analyzing the graph.
Part 1 of 3
Warm-up video
Khan Academy · 5:12Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 3
Practice
7 questions
Explain the steps you would take to graph the inequality 3x + 2y ≤ 6. Include how you would determine the type of line to draw and how you would identify the solution region.
Given the inequality y > 1/2x + 3, describe how you would graph this inequality. What does the shaded region represent in this context?
Part 3 of 3
Exit ticket
Quick comprehension check
“A local basketball team has a budget of $800 for new uniforms. Each uniform costs $50. Write an inequality to represent the number of uniforms (x) the team can purchase. Then, describe how you would graph this inequality. A concert venue has a maximum capacity of 1,500 people. If each ticket costs $30, write an inequality to represent the total revenue (R) from ticket sales based on the number of tickets sold (x). Then, explain how you would graph this inequality.”
Sample answer included in the free materials
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