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Understanding Absolute Value and Inequalities in Multi-Step Equations

This lesson focuses on solving equations and inequalities involving absolute value, as well as graphing their solution sets on a number line. Students will learn to model real-life situations using inequalities, such as traffic rules pertaining to speed limits, and will distinguish between intersection and union of inequalities. With practical examples and step-by-step exercises, learners will reinforce their problem-solving skills in multi-step equations and graphing concepts.

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Understanding Absolute Value and Inequalities in Multi-Step Equations

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Presentation Transcript

  1. Let’s Review • Distributive Property • Classify Numbers • Multi-Step Equations • Absolute Value • Proportions/Percent • Inequalities • B.A.G.

  2. Unit 3 Lesson 3

  3. “I can…” • …solve equations and inequalities involving absolute value and graph their solution set on a number line • M(F&A)-10-4 • M(N&O)10-2

  4. Today….cont. • If you drive more than 45 and less than 65, you will not be ticketed. • Inequalities… • This graph is an INTERSECTION

  5. Compound • If you drive less than 45 MPH or more than 65 MPH on I-495, you may be ticketed. • Write inequalities to model the situation. • This graph is a UNION

  6. Now, we put 2 inequalities together

  7. Example 1

  8. Example - Solve and graph

  9. Example – solve and graph

  10. Exit Slip

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