Practice Tools (8.4) - Quadratic Inequalities - IB 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions

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.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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!

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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.

Challenge 2 Hard

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.

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