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:

Correct!

Not Correct!

Your answer was: 0

The correct answer was: 0

Solving Absolute Value Equations:

Case 1:

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

- 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

- 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

- Solve the resulting equations

Case 2:

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

- 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

- Solve the resulting equations

Step-by-Step:

You Have Missed 4 Questions...

Your answer should be a number!

$$x=$$

or

$$x=$$

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Correct Answers: 0 of 7

Wrong Answers: 0 of 3

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