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,
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
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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