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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Graph the inequality x² - 4 ≤ 0.
💡 Hint: Start by factoring the quadratic.
Question 2
Easy
Identify the region where x² + 2x + 1 > 0.
💡 Hint: Remember how the parabola opens based on the leading coefficient.
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
When is a quadratic inequality in the form ax² + bx + c > 0 satisfied?
- When it's below the x-axis
- When it's above the x-axis
- Both above and below the x-axis
💡 Hint: Think about what it means for the quadratic to be positive.
Question 2
The roots of the quadratic tell us what?
- True
- False
💡 Hint: What happens at the x-axis?
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A company models its profit using the quadratic equation P(x) = -x² + 6x - 8. Determine the range of units produced x that will yield a profit (P(x) > 0).
💡 Hint: Set the profit equation to zero first to find roots.
Question 2
During a projectile motion, the height is represented by h(t) = -4.9t² + 20t + 10. Find the time intervals during which the height is less than 5 meters.
💡 Hint: Rearrange h(t) to standard form and identify roots.
Challenge and get performance evaluation