How to Solve an Absolute Value Equation


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question 1 of 3

Solve the equation: |3x - 9| = 27.

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1. Solve the equation: |x| = 99.

2. What number can we substitute for x that will make the absolute value of x = 12?

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About This Quiz & Worksheet

Solving absolute value equations is a bit more complicated than defining absolute values, and this quiz/worksheet combo will help you test your understanding of these equations and how to solve them. The quiz questions will ask you about things like the definition of an equation.

Quiz & Worksheet Goals

Prepare to be tested on the following:

  • What it means to be asked to 'solve' an equation
  • The characteristics of an absolute value
  • Your ability to solve absolute value equations

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information on absolute value equations from the related lesson
  • Critical thinking - apply relevant concepts, such as your knowledge of absolute values, to better understand why these equations have two solutions
  • Problem solving - use your acquired knowledge to solve absolute value equations

Additional Learning

Be sure to review the accompanying lesson on this topic, How to Solve an Absolute Value Equation. This lesson covers the following objectives:

  • Describe how absolute values function within these equations
  • Understand how to split up operations within absolute values when solving these equations
  • Know about absolute values that equal negative numbers