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Solving an Absolute Value EquationPowerPoint Presentation

Solving an Absolute Value Equation

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Solving an Absolute Value Equation

You have already used graphs and mental math to solve some absolute value equations. For instance:

This has two solutions:

8 and -8

Solving an Absolute Value Equation

In order to solve for x, you have to UNDO the absolute value.

Solve:

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 NEGATIVE9

Solving an Absolute Value Equation

In order to solve for x, you have to ISOLATE the absolute value expression

Solve:

In order to solve for x, you have to UNDO the absolute value.

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 NEGATIVE15

Solving an Absolute Value Equation

In order to solve for x, you have to UNDO the absolute value.

Solve:

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.

Solving an Absolute Value Equation

In order to solve for x, you have to ISOLATE the absolute value expression

Solve:

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.

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