1 / 12

Mastering Absolute Value Equations - TEKS A2.6(D) and A2.6(E)

Learn to formulate and solve absolute value linear equations, understand constraints, and identify extraneous solutions. Practice various cases and examples to develop a solid foundation in solving absolute value equations.

ckuhn
Download Presentation

Mastering Absolute Value Equations - TEKS A2.6(D) and A2.6(E)

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LESSON 1–4 Solving Absolute Value Equations

  2. Targeted TEKS A2.6(D) Formulate absolute value linear equations. A2.6(E) Solve absolute value linear equations. Mathematical Processes A2.1(B), A2.1(D) TEKS

  3. absolute value • empty set • constraint • extraneous solution Vocabulary

  4. Concept

  5. ? ? |5 + 3| = 8 |–11 + 3| = 8 ? ? |8| = 8 |–8| = 8 8 = 8 8 = 8   Solve an Absolute Value Equation Case 1 a = b y + 3 = 8 y + 3 – 3 = 8 – 3 y = 5 Case 2 a = –b y + 3 = –8 y + 3 – 3 = –8 – 3 y = –11 Check |y + 3| = 8 |y + 3| = 8 Answer: The solutions are 5 and –11.Thus, the solution set is –11, 5. Example 2

  6. What is the solution to |2x + 5| = 15? A. {5} B. {–10, 5} C. {–5, 10} D. {–5} Example 2

  7. No Solution Solve |6 – 4t| + 5 = 0. |6 – 4t| + 5 = 0 Original equation |6 – 4t| = –5 Subtract 5 from each side. This sentence is never true. Answer: The solution set is . Example 3

  8. A. B. C. D. Example 3

  9. One Solution Case 1 a = b 8+ y = 2y – 3 8 = y – 3 11 = y Example 4

  10. One Solution Check: Answer: Example 4

  11. A. B. C. D. Example 4

  12. LESSON 1–4 Solving Absolute Value Equations

More Related