Why is it important to only make one side negative when solving absolute value equations?

Understanding Absolute Value Equations

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To ensure the equation remains balanced
To create two unique solutions
To simplify the equation
To avoid creating a new rule
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving a basic absolute value equation?
Combine like terms
Split the equation into two parts
Add a constant to both sides
Multiply both sides by a constant
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why do we check the solutions of absolute value equations?
To eliminate extraneous solutions
To verify they satisfy the original equation
To find additional solutions
To simplify the equation further
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does introducing variables change the approach to solving absolute value equations?
It requires graphing the solutions
It uses the same logic as basic equations
It eliminates the need for checking solutions
It requires a different set of rules
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What common misconception occurs when dealing with absolute values on both sides of an equation?
That new rules must be created
That the negative sign can be ignored
That the equation can be split into multiple parts
That both sides must be positive
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why doesn't making both sides of an equation negative result in two unique solutions?
It violates the rules of algebra
It simplifies the equation too much
It creates the same equation as the original
It results in no solutions
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Is it necessary to always make the right side of an equation negative?
Yes, to maintain consistency
No, but it is preferred
No, either side can be made negative
Yes, to simplify the equation
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