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# H Alg2 090409

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Absolute Value

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### H Alg2 090409

1. 1. September 4, 2009 Warm ­ Up x, if x is positive x = { 0, ­x, if x = 0 if x is negative Above is the mathematical definition of  absolute value.  What is your understanding  of absolute value?  How does this match up  with the definition above?
2. 2. x ­ y The distance between x and y x ­ 5 = 2 The distance between x and 5 is 2 units x + 7 = 5 The distance between x and ­7 is 5 units
3. 3. Solving Absolute Value x + 7 = 5 x + 7 = 5 x + 7 = ­5
4. 4. Checking for Extraneous Solutions 2x + 12 = 4x 2x + 12 = 4x 2x + 12 = ­ 4x 12 = 2x 12 = ­ 6x 6 = x ­2 = x Check: Check: 2(6) + 12 = 4(6) 2(­2) + 12 = 4(­2)
5. 5. HW: pg. 55 #10­38 (1/4), 44­64 (1/4), 83­97 (odd)