Solve basic rational equations and explain extraneous solutions

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Mathematics
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11th Grade - University
•
Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the least common denominator (LCD) used for in solving rational equations?
To simplify complex fractions
To add fractions together
To eliminate denominators by multiplying all terms
To find the greatest common factor
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When solving equations with a variable in the denominator, what is the main goal?
To keep the variable in the denominator
To add more variables to the equation
To move the variable to the numerator
To eliminate the variable entirely
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might cross multiplication be avoided when solving equations with variables in the denominator?
It is not a valid mathematical operation
It always results in extraneous solutions
It can lead to incorrect applications
It is too complex for most equations
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an extraneous solution?
A solution that is derived from incorrect calculations
A solution that satisfies the original equation
A solution that satisfies a simplified version but not the original equation
A solution that is always incorrect
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example given, why is X = 4 considered an extraneous solution?
It is a repeated solution
It is not a solution to any equation
It satisfies the simplified equation but not the original
It satisfies the original equation
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should be done after finding solutions to ensure they are not extraneous?
Assume they are correct
Ignore them and move on
Recalculate the entire equation
Check if they make any denominator zero
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In rational equations, when can a solution be considered extraneous?
When it is a fraction
When it makes the numerator zero
When it is a negative number
When it makes the denominator zero
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