solve absolute value equations
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Mathematics
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9th - 10th Grade
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Practice Problem
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Medium
Wayground Content
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main reason for considering two cases when solving absolute value equations?
To eliminate extraneous solutions.
To simplify the equation.
To ensure the equation is balanced.
To account for both positive and negative solutions.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if the absolute value is set equal to a negative number?
The equation has no solution.
The equation has infinite solutions.
The equation is incorrect.
The equation needs to be simplified.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to isolate the absolute value before solving the equation?
To eliminate the need for checking solutions.
To simplify the equation and apply inverse operations correctly.
To ensure the absolute value is positive.
To make the equation more complex.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you handle an equation where the absolute value is not isolated?
Multiply all terms by the same number.
Ignore the absolute value.
Isolate the absolute value first.
Solve it directly.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving an equation with multiple operations outside the absolute value?
Add or subtract to isolate the absolute value.
Multiply all terms by the same number.
Divide by the coefficient of the variable.
Check for extraneous solutions first.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of creating two cases when solving absolute value equations?
To find the maximum value.
To eliminate variables.
To account for both positive and negative scenarios.
To simplify the equation.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dealing with variables on both sides of an absolute value equation, what should you be cautious of?
The equation might have no solution.
The equation might have extraneous solutions.
The equation might be too simple.
The equation might not need checking.
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