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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve the inequality x² + 2x - 8 > 0.
💡 Hint: Factor the quadratic or use quadratic formula.
Question 2
Easy
Solve the inequality x² - 4 ≤ 0.
💡 Hint: Find the roots and determine valid intervals.
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?
- ax² + bx + c < 0
- ax² + bx + c = 0
- ax² + bx + c ≤ 0
💡 Hint: Think about how these inequalities compare expressions.
Question 2
The roots of a quadratic equation help to:
- True
- False
💡 Hint: Roots divide the number line into segments.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A toy rocket is launched. Its height in meters is represented by the equation h(t) = -4.9t² + 15t + 2. For what time intervals is the rocket at least 10 meters high?
💡 Hint: Rearranging the terms will help find critical points.
Question 2
You have a rectangular garden with an area modeled by the inequality x² - 12x + 36 ≥ 0. What does this mean for the dimensions of the garden?
💡 Hint: Pay attention to the context of the inequality when interpreting area.
Challenge and get performance evaluation