1 / 21

Splash Screen

Learn to evaluate expressions with absolute values and solve absolute value equations. Practice solving verbal and real-world problems.

hammp
Télécharger la présentation

Splash Screen

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. Splash Screen

  2. Five-Minute Check (over Lesson 1–3) CCSS Then/Now New Vocabulary Key Concept: Absolute Value Example 1: Evaluate an Expression with Absolute Value Example 2: Real-World Example: Solve an Absolute Value Equation Example 3: No Solution Example 4: One Solution Lesson Menu

  3. Which algebraic expression represents the verbal expression five less than the product of the cube of a number and –4? A. 5 – (–4n3) B. –4n3 – 5 C. –4n3 + 5 D.n3 – 5 5-Minute Check 2

  4. Which equation represents the verbal expression the sum of 23 and twice a number is 65? A. 23 + 2(65) = 65 B. 23 + n = 65 C. 23 = 2n + 65 D. 23 + 2n = 65 5-Minute Check 3

  5. Solve the equation 12f – 4 = 7 + f. A. 1 B. 0.5 C. 0 D. –1 5-Minute Check 4

  6. Solve the equation 10y + 1 = 3(–2y – 5). A. 2 B. 1 C. 0 D. –1 5-Minute Check 5

  7. Content Standards A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Mathematical Practices 6 Attend to precision. CCSS

  8. You solved equations using properties of equality. • Evaluate expressions involving absolute values. • Solve absolute value equations. Then/Now

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

  10. Concept

  11. Evaluate an Expression with Absolute Value Replace x with 4. Multiply 2 and 4 first. Subtract 8 from 6. Add. Answer: 4.7 Example 1

  12. A. 18.3 B. 1.7 C. –1.7 D. –13.7 Example 1

  13. ? ? |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

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

  15. 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

  16. A. B. C. D. Example 3

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

  18. One Solution Check: Answer: Example 4

  19. A. B. C. D. Example 4

  20. End of the Lesson

  21. Pages 30 – 31 # 15 – 25 ODD, 31, 32, 37 – 41 ODD, 45

More Related