Solving an Absolute Value Equation You have already used graphs and mental math to solve some absolute value equations For instance 8 and 8 This has two solutions Solving an Absolute Value Equation ID: 567573
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Slide1
Solving an Absolute Value EquationSlide2
Solving an Absolute Value Equation
You have already used graphs and mental math to solve some absolute value equations. For instance:
8 and -8
This has two solutions:Slide3
Solving an Absolute Value Equation
Solve:
In order to solve for
x
, you have to UNDO the absolute value.
What are the number(s) whose absolute value is 9?
The absolute value of 9 AND -9 is 9
Find the
x
that makes 2x-5 equal
POSITIVE
9
Find the
x
that makes 2x-5 equal
NEGATIVE
9Slide4
Solving an Absolute Value Equation
Solve:
In order to solve for
x
, you have to ISOLATE the absolute
value
expression
What are the number(s) whose absolute value is 15?
The absolute value of 15 AND -15 is 9
Find the
x
that makes 3x equal
POSITIVE 15
Find the
x
that makes 3x equal
NEGATIVE
15
In order to solve for
x
, you have to UNDO the absolute value.Slide5
Solving an Absolute Value Equation
Solve:
In order to solve for
x
, you have to UNDO the absolute value.
What are the number(s) whose absolute value is 0?
The absolute value of +0 AND -0 is 0
Since +0 and -0 are the same number. There is only
ONE Answer.Slide6
Solving an Absolute Value Equation
Solve:
In order to solve for
x
, you have to ISOLATE the absolute
value
expression
What are the number(s) whose absolute value is -3?
In order to solve for
x
, you have to UNDO the absolute value.
NOT POSSIBLE
The absolute value of a number can not be negative.
This equation has
NO SOLUTIONS
.