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!

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...

$$x=$$
or
$$x=$$

Current Score: 0%