Practice Objectives
  • Demonstrate an understanding of absolute value
  • Demonstrate an understanding of how to solve a linear equation
  • Demonstrate the ability to solve an absolute value equation

Practice Solving Absolute Value Equations


Instructions:

Answer 7/10 questions correctly to pass.

Solve each equation.

Write a negative fraction as -a/b or a/-b.


Problem:

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Not Correct! Cool Emoji

Your answer was: 0

The correct answer was: 0


Solving Absolute Value Equations:

Case 1:

$$a|bx + c| + d=k$$

  1. Isolate the absolute value operation on the left side:
    • There should be a single non-negative number on the right side
    • Note: if the right side is a negative number, you have no solution
    • Note: if the right side is 0, just drop the absolute value bars and solve the resulting equation
  2. Set up a compound equation with "or"
    • Set the expression inside of the absolute value bars equal to the number on the right side
    • Set the expression inside of the absolute value bars equal to the negative of the number on the right side
  3. Solve the resulting equations

Case 2:

$$|ax + b|=|cx + d|$$

  1. Set up a compound equation with "or"
    • Drop the absolute value bars
    • Drop the absolute value bars and change the expression on the right into its opposite
  2. Solve the resulting equations

Step-by-Step:


You Have Missed 4 Questions...

Your answer should be a number!

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$$x=$$
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or
$$x=$$
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Current Score: 0%

Correct Answers: 0 of 7

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Wrong Answers: 0 of 3

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Wow! You have mastered Solving Absolute Value Equations!

Correct Answers: 0/0

Your Score: 0%

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