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Wednesday, October 7, 2015

Algebra ( Period 1)

 ABSOLUTE VALUE EQUATIONS 2-5
 When you plug into an expression with absolute value, the absolute value signs function as parentheses in Order of Operations.
So make sure you simplify INSIDE before turning that POSITIVE!

Generally, you solve these the same way you solve regular equations.
 Make sure you balance equally on both sides!

 Follow the steps of a 2-step equation.
 1. Add the opposite (you can subtract as well)
 2. Multiply by the reciprocal (you can divide as well)

 THE DIFFERENCE?
 YOU HAVE 2 POSSIBLE ANSWERS! (+ and -)

 EXAMPLE: 2 IxI + 1 = 15
 2 IxI  + 1 - 1 = 15 - 1
 2 IxI  = 14
 1/2 ( 2 IxI  ) = 1/2 (14)
  IxI  = 7
 x = {-7, 7}

 REMEMBER, IF YOU AFTER YOU GET THE ABSOLUTE VALUE ALONE ON ONE SIDE, YOU FIND THAT THE CONSTANT ON THE OTHER SIDE IS NEGATIVE, 
THE ANSWER IS THE NULL SET!

 EXAMPLE: 2 IxI + 16 = 15
 2 IxI + 1 - 1 = 15 - 16
 2 IxI= -1
 1/2 ( 2 IxI ) = 1/2 (-1)
  IxI = -1/2
 NOT POSSIBLE! So the answer is the null set


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