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1-5 Absolute Value Equations

1-5 Absolute Value Equations. Objectives: To solve absolute value equations. Absolute Value. What is the definition of absolute value??? Distance from zero, so it’s always _________ How many numbers are the same distance from zero? So every absolute value equation has two answers except….

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1-5 Absolute Value Equations

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  1. 1-5 Absolute Value Equations Objectives: To solve absolute value equations

  2. Absolute Value • What is the definition of absolute value??? • Distance from zero, so it’s always _________ • How many numbers are the same distance from zero? • So every absolute value equation has two answers except…

  3. Solving Equations with Absolute Values • Isolate the absolute value (get rid of outside numbers) • Split into two equations without the absolute value symbols • Solve the equations 2|3x +4| - 3 = 7

  4. Examples • 3|5x + 6|-7 = 2 2. 8 + 5|6 - 2y| = 68

  5. Question • Is there a solution to 2|x| = -14? • So if an absolute value equals a negative number, there is no solution.

  6. Definition • Extraneous Solution: a solution derived from a an original equation that is not a solution of the original equation. • It doesn’t work when you plug it in.

  7. Variables on both sides Solve and check for extraneous solutions. |2x + 3| = 3x + 2

  8. Examples |3x – 4| = –4x – 1 6|2x + 5| = 6x + 24

  9. Example ⅔|3x – 6| = 4(x – 2)

  10. Homework Page 36, #1-15 odd, 35-43odd, 61,62

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