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- 1. Solving Absolute Value Equations
- 2. You'll Learn To: Vocabulary 1) absolute value 2) empty set <ul><li>Evaluate expressions involving absolute values. </li></ul><ul><li>Solve absolute value equations. </li></ul>Solving Absolute Value Equations
- 3. Solving Absolute Value Equations Seismologists use the Richter scale to express the Magnitudes of earthquakes. This scale ranges from 1 to 10, 10 being the highest.
- 4. Solving Absolute Value Equations Seismologists use the Richter scale to express the Magnitudes of earthquakes. This scale ranges from 1 to 10, 10 being the highest. The uncertainty in the estimate of a magnitude E is about Plus or minus 0.3 unit.
- 5. Solving Absolute Value Equations Seismologists use the Richter scale to express the Magnitudes of earthquakes. This scale ranges from 1 to 10, 10 being the highest. The uncertainty in the estimate of a magnitude E is about Plus or minus 0.3 unit. This means that an earthquake with a magnitude estimated at 6.1 might actually have a magnitude as low as 5.8 or as high as 6.4.
- 6. Solving Absolute Value Equations Seismologists use the Richter scale to express the Magnitudes of earthquakes. This scale ranges from 1 to 10, 10 being the highest. The uncertainty in the estimate of a magnitude E is about Plus or minus 0.3 unit. This means that an earthquake with a magnitude estimated at 6.1 might actually have a magnitude as low as 5.8 or as high as 6.4. These extremes can be described by the absolute value equation
- 7. Solving Absolute Value Equations Seismologists use the Richter scale to express the Magnitudes of earthquakes. This scale ranges from 1 to 10, 10 being the highest. The uncertainty in the estimate of a magnitude E is about Plus or minus 0.3 unit. This means that an earthquake with a magnitude estimated at 6.1 might actually have a magnitude as low as 5.8 or as high as 6.4. Richter Scale 0 10 E These extremes can be described by the absolute value equation
- 8. The absolute value of a number is its distance from zero on the number line. Solving Absolute Value Equations
- 9. The absolute value of a number is its distance from zero on the number line. Since distance is nonnegative (positive), the absolute value of a number is always nonnegative. Solving Absolute Value Equations
- 10. The absolute value of a number is its distance from zero on the number line. Since distance is nonnegative (positive), the absolute value of a number is always nonnegative. The symbol is used to represent the absolute value of a number x . Solving Absolute Value Equations
- 11. Absolute Value For any real number a , if a is positive or zero, the absolute value of a is a. Solving Absolute Value Equations
- 12. Absolute Value For any real number a , if a is positive or zero, the absolute value of a is a. 0 a Solving Absolute Value Equations distance from zero = a
- 13. Absolute Value For any real number a , if a is positive or zero, the absolute value of a is a. 0 a For any real number a , if a is negative, the absolute value of a is a. -a Solving Absolute Value Equations distance from zero = a distance from zero = a
- 14. Absolute Value For any real number a , if a is positive or zero, the absolute value of a is a. 0 a For any real number a , if a is negative, the absolute value of a is a. -a For any real number a, Solving Absolute Value Equations distance from zero = a distance from zero = a
- 15. Absolute Value For any real number a , if a is positive or zero, the absolute value of a is a. 0 a For any real number a , if a is negative, the absolute value of a is a. -a For any real number a, and Solving Absolute Value Equations distance from zero = a distance from zero = a
- 16. Solving Absolute Value Equations
- 17. Solving Absolute Value Equations
- 18. Solving Absolute Value Equations
- 19. Solving Absolute Value Equations
- 20. Solving Absolute Value Equations
- 21. Solving Absolute Value Equations
- 22. Solving Absolute Value Equations
- 23. Solving Absolute Value Equations negative side:
- 24. Solving Absolute Value Equations negative side: positive side:
- 25. Solving Absolute Value Equations negative side: positive side:
- 26. Solving Absolute Value Equations negative side: positive side:
- 27. Solving Absolute Value Equations negative side: positive side: Solution set is: { 8, 42 }
- 28. Solving Absolute Value Equations
- 29. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 30. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 31. Solving Absolute Value Equations negative side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 32. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 33. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 34. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 35. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 36. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 37. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 38. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 39. Solving Absolute Value Equations negative side: positive side: Step 1) Isolate the absolute value expression by dividing both sides of the equation by 3 .
- 40. Solving Absolute Value Equations
- 41. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by – 12 .
- 42. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by – 12 .
- 43. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by – 12 . Absolute values are all NONNEGATIVE !
- 44. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by – 12 . Absolute values are all NONNEGATIVE !
- 45. Solving Absolute Value Equations Step 1) Isolate the absolute value expression by dividing both sides of the equation by – 12 . Absolute values are all NONNEGATIVE ! This is referred to as an EMPTY SET .
- 46. Basic Absolute Value Absolute Value EquationOffset from Zero End of Lesson Solving Absolute Value Equations
- 47. Credits PowerPoint created by Using Glencoe’s Algebra 2 text, © 2005 Robert Fant http://robertfant.com

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