Practice Chapter Summary (8) - Quadratic Inequalities - IB 10 Mathematics – Group 5, Algebra
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Chapter Summary

Practice - Chapter Summary

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Practice Questions

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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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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