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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Factor and simplify \( \frac{x^2 - 4}{x^2 - 5x + 6} \). What is your answer?
💡 Hint: Factor the numerator and denominator!
Question 2
Easy
What are the domain restrictions for \( \frac{x+2}{x-3} \)?
💡 Hint: Look for values that make the denominator 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 simplifying a rational expression?
- Cancel common factors
- Factor the numerator and denominator
- Add the numerators
💡 Hint: Think about what needs to be done first.
Question 2
True or False: You can cancel factors in the numerator and denominator only after simplifying.
- True
- False
💡 Hint: Remember when you are allowed to cancel.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Simplify \( \frac{x^3 - 4x^2 + 4x}{x^2 - 2x} \) and find the domain restrictions.
💡 Hint: Look for common factors in each part of the fraction.
Question 2
Consider \( \frac{x^4 - 5x^2 + 4}{x^2 - 4} \). Simplify and state restrictions.
💡 Hint: Factor both the numerator and denominator.
Challenge and get performance evaluation