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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