Solving Inequalities in Two Variables

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Objective

I can use graphing technology to find the solution to a two-variable inequality. When given inequalities, graphs, and descriptions that represent the constraints in a situation, I can connect the different representations and interpret them in terms of the situation.

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

6 questions

1

Explain the process of isolating y in the inequality -4x - 7y < 4. What is the first step you would take?

2

After isolating y in the inequality -4x - 7y < 4, what does the inequality become? Write the new inequality.

Part 3 of 3

Exit ticket

Quick comprehension check

A student wants to save at least $200 for a concert. They currently have $50 and plan to save money from their weekly allowance of $20. Write an inequality to represent the total amount they need to save, and use graphing technology to graph the inequality. Describe the solution region and what it represents. A baker can make a maximum of 100 cookies in a day. If they make 30 chocolate chip cookies, write an inequality to represent the number of sugar cookies they can make. Use graphing technology to graph the inequality and describe the solution region in the context of the baking situation.

Sample answer included in the free materials

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  • Teacher Guide

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