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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Solve x^2 + 2x - 15 > 0.
💡 Hint: Think about factoring the expression first.
Question 2
Easy
Solve x^2 - 4x + 4 ≤ 0.
💡 Hint: Is this a perfect square?
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^2 + bx + c < 0
- ax^2 + bx + c > 0
💡 Hint: What signifies a comparison in inequalities?
Question 2
Are quadratic inequalities applicable in real-world applications?
- True
- False
💡 Hint: Think of problem-solving situations presented earlier.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Prove the inequality x^2 - 4x + 4 ≥ 0 holds for all real values of x and explain your reasoning.
💡 Hint: Consider the nature of perfect squares and their behavior on the number line.
Question 2
Curve a projectile modeled by the function h(t) = -16t^2 + 64t - 48. For how long is the object's height greater than 0?
💡 Hint: Finding the roots will help you define the intervals where the height is above ground.
Challenge and get performance evaluation