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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve the quadratic inequality \( x^2 - 4 > 0 \).
💡 Hint: Factor the inequality and find the roots.
Question 2
Easy
Represent the solution of \( x^2 - 1 ≤ 0 \) on a number line.
💡 Hint: Find the roots of the equation.
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 standard form of a quadratic inequality?
- \\( ax^2 + bx + c < 0 \\)
- \\( ax + b < c \\)
- \\( ax^2 + b < 0 \\)
💡 Hint: Remember the form of quadratics!
Question 2
Boolean: The quadratic formula can always be applied to find real roots.
- True
- False
💡 Hint: Consider the discriminant!
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A ball is kicked into the air with path \( h(t) = -4.9t^2 + 20t + 1 \). Determine when the ball is below 10 meters.
💡 Hint: Combine and rearrange to set up the inequality correctly.
Question 2
Given \( x^2 + 2x - 8 > 0 \) analyze the intervals and graph the solution.
💡 Hint: Remember to test points in each identified interval for the inequality.
Challenge and get performance evaluation