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Solving Absolute Value Equations: A Comprehensive Guide

This lesson focuses on solving absolute value equations and applying them to real-world scenarios. Students will learn how to manipulate equations to isolate the absolute value and explore critical thinking questions related to solutions. Additionally, the lesson includes practical examples, such as determining voter percentages in polling data. Students will work in pairs to solve problems involving absolute values from the homework and prepare for an upcoming quiz. The lesson encourages engagement and enhances understanding of absolute value in algebra.

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Solving Absolute Value Equations: A Comprehensive Guide

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  1. 4-3 Solving Absolute value equations Miss battaglia – algebra 1 CP Objective: Solve equations that involve absolute value; use absolute value equations to model real-world problems.

  2. Warm up • Solve

  3. Work with a partner The actual results could vary from the poll results by -3% to 3%. What is the greatest percent of voters who might vote for Blake? What is the least percent of voters who might vote for Cortez? According to the poll, can Cortez get a majority of the votes?

  4. example • Use a number line to solve |m| = 2.5

  5. Use a number line to solve • | b | = 2 b) 4 = | y | • c) | x | = 5 d) x = | 5 |

  6. Critical thinking… • Is there a solution for | x | = - 3? Explain.

  7. solve • | x | + 5 = 11 GOAL: Get absolute value by itself on one side of equation.

  8. solve • | x | + 11 = 5 GOAL: Get absolute value by itself on one side of equation.

  9. solve • 3 = |w| - 4 GOAL: Get absolute value by itself on one side of equation.

  10. solve GOAL: Get absolute value by itself on one side of equation.

  11. The equation | p – 9 | = 3 represents the max and min % of people who are undecided. Solve the equation.

  12. Solve & Check • | c – 2 | = 6

  13. Solve & Check • | x + 8 | = 5

  14. homework • Pg172-173 #5–7, 11, 16, 22, 23, 29 • STUDY FOR QUIZ TOMORROW!

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