1 / 30

Splash Screen

Splash Screen. Five-Minute Check (over Lesson 6–6) CCSS Then/Now New Vocabulary Key Concept: Solving Radical Equations Example 1: Solve Radical Equations Example 2: Solve a Cube Root Equation Example 3: Standardized Test Example: Solve a Radical Equation

belle-bradshaw
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 6–6) CCSS Then/Now New Vocabulary Key Concept: Solving Radical Equations Example 1: Solve Radical Equations Example 2: Solve a Cube Root Equation Example 3: Standardized Test Example: Solve a Radical Equation Key Concept: Solving Radical Inequalities Example 4: Solve a Radical Inequality Lesson Menu

  3. A. B. C. D. 5-Minute Check 1

  4. A. 12 B. 8 C. 4 D. 2 5-Minute Check 2

  5. A. B. C. D. 5-Minute Check 3

  6. A.2w2 B. 2w C.w2 D. 5-Minute Check 4

  7. A. B. C.5 D. 10 5-Minute Check 5

  8. The equation gives the approximate energy output y in kilocalories per day (kcal/day) for a reptile with a body mass m kilograms. The average mass of an alligator is 360 kilograms. Find the energy output of a reptile this size. Round your answer to the nearest tenth. A. 82.6 kcal/day B. 156.8 kcal/day C. 826.5 kcal/day D. 1568.1 kcal/day 5-Minute Check 6

  9. Content Standards A.SSE.2 Use the structure of an expression to identify ways to rewrite it. Mathematical Practices 4 Model with mathematics. CCSS

  10. You solved polynomial equations. • Solve equations containing radicals. • Solve inequalities containing radicals. Then/Now

  11. radical equation • extraneous solution • radical inequality Vocabulary

  12. Concept

  13. A.Solve . Original equation Add 1 to each side to isolate the radical. Square each side to eliminate the radical. Find the squares. Add 2 to each side. Solve Radical Equations Example 1

  14. Original equation ? Replace y with 38. Simplify.  Solve Radical Equations Check Answer: The solution checks. The solution is 38. Example 1

  15. B. Solve . Original equation Square each side. Find the squares. Isolate the radical. Divide each side by –4. Solve Radical Equations Example 1

  16. Square each side. Evaluate the squares. Original equation Check Replace x with 16. Simplify. Evaluate the square roots. Solve Radical Equations  Answer: The solution does not check, so there is no real solution. Example 1

  17. A. Solve . A. 19 B. 61 C. 67 D. no real solution Example 1

  18. B. Solve . A. 2 B. 4 C. 9 D. no real solution Example 1

  19. In order to remove the power, or cube root, you must first isolate it and then raise each side of the equation to the third power. Solve a Cube Root Equation Original equation Subtract 5 from each side. Cube each side. Evaluate the cubes. Example 2

  20. Solve a Cube Root Equation Subtract 1 from each side. Divide each side by 3. Check Original equation Replace y with –42. Simplify. The cube root of –125 is –5. Add.  Answer: The solution is –42. Example 2

  21. A. –14 B. 4 C. 13 D. 26 Example 2

  22. Solve a Radical Equation Am = –2 Bm = 0 Cm = 12 Dm = 14 Example 3

  23. Solve a Radical Equation Original equation Add 4 to each side. Divide each side by 7. Raise each side to the sixth power. Evaluate each side. Subtract 4 from each side. Answer: The answer is C. Example 3

  24. A. 221 B. 242 C. 266 D. 288 Example 3

  25. Concept

  26. Solve a Radical Inequality Since the radicand of a square root must be greater than or equal to zero, first solve 3x – 6  0 to identify the values of x for which the left side of the inequality is defined. 3x – 6  0 3x  6 x  2 Example 4

  27. Solve a Radical Inequality Original inequality Isolate the radical. Eliminate the radical. Add 6 to each side. Divide each side by 3. Answer: The solution is 2  x  5. Example 4

  28. Test some x-values to confirm the solution. Let Use three test values: one less than 2, one between 2 and 5, and one greater than 5. Solve a Radical Inequality Check Only the values in the interval 2  x  5 satisfy the inequality. Example 4

  29. A. B. C. D. Example 4

  30. End of the Lesson

More Related