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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve the equation: \( \frac{1}{x} = \frac{3}{x+4} \). What are the restrictions?
💡 Hint: Set each denominator to zero.
Question 2
Easy
Find the domain for the equation \( \frac{5}{2x} = 3 \).
💡 Hint: Determine when the denominator equals zero.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the first step in solving rational equations?
- Multiply by LCD
- Identify restrictions
- Isolate variable
💡 Hint: Think about what could go wrong when a fraction has a zero denominator.
Question 2
True or False: After finding the solution to a rational equation, you should always check it against the original equation.
- True
- False
💡 Hint: What do we need to avoid when solving equations?
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
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.
Question 2
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?
Challenge and get performance evaluation