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Published byTrenton Tayler Modified over 2 years ago

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Solving an Absolute Value Equation

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You have already used graphs and mental math to solve some absolute value equations. For instance: 8 and -8This has two solutions:

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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 9

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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.

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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.

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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.

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