Practice - Solving Rational Equations
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Practice Questions
Test your understanding with targeted questions
Solve the equation: \( \frac{1}{x} = \frac{3}{x+4} \). What are the restrictions?
💡 Hint: Set each denominator to zero.
Find the domain for the equation \( \frac{5}{2x} = 3 \).
💡 Hint: Determine when the denominator equals zero.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the first step in solving rational equations?
💡 Hint: Think about what could go wrong when a fraction has a zero denominator.
True or False: After finding the solution to a rational equation, you should always check it against the original equation.
💡 Hint: What do we need to avoid when solving equations?
1 more question available
Challenge Problems
Push your limits with advanced challenges
Solve the equation \( \frac{2}{x+2} + \frac{3}{x-3} = 1 \) and describe your thought process.
💡 Hint: Write down the steps you would take while simplifying.
For \( \frac{x^2-1}{x+1} = 3 \), determine the value of x and verify your solution.
💡 Hint: Could there be any values leading to zero in the denominators?
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