Solving Absolute Value Equations

Solving Absolute Value Equations
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Learn how to solve linear equations and inequalities involving absolute values. Explore key vocabulary, examples, guided practice, and graphs for a better understanding of the topic.

  • Absolute Value
  • Equations
  • Inequalities
  • Linear Equations

Uploaded on Mar 03, 2025 | 1 Views


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Presentation Transcript


  1. 1.7: Solve Absolute Value Equations and Inequalities I can: Solve a linear equation or inequality involving absolute value.

  2. Key Vocabulary Absolute Value Extraneous Solution

  3. Example 1

  4. Example 2

  5. Example 3

  6. Example 4

  7. for Example 4 GUIDED PRACTICE Solve the inequality. Then graph the solution. 7. |x + 4| 6 ANSWER x < 10 orx > 2 The graph is shown below.

  8. for Example 4 GUIDED PRACTICE Solve the inequality. Then graph the solution. 8. |2x 7|>1 ANSWER x < 3 orx > 4 The graph is shown below.

  9. for Example 4 GUIDED PRACTICE Solve the inequality. Then graph the solution. 9. |3x + 5| 10 ANSWER x < 5 or x > 12 3The graph is shown below.

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