Practice General Form (8.2) - Quadratic Inequalities - IB 10 Mathematics – Group 5, Algebra
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General Form

Practice - General Form

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Solve x² + 2x - 15 > 0

💡 Hint: Factor the expression and find the roots.

Question 2 Easy

Solve x² - 4x + 4 ≤ 0

💡 Hint: This quadratic is a perfect square.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What form does a quadratic inequality take?

a) ax² + bx + c
b) ax² + bx + c < 0
c) ax² + bx + c > 0
d) Both b and c

💡 Hint: Remember that they involve comparisons.

Question 2

True or False: A quadratic inequality can have more than one solution.

True
False

💡 Hint: Think about the number line representation.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Find the range of values for x in the inequality x² - 4x - 5 < 0.

💡 Hint: Start by factoring the expression.

Challenge 2 Hard

A company models profit with the inequality -2x² + 8x - 6 ≥ 0, where x is the number of products sold. Find the range of x that ensures profit.

💡 Hint: Identify where the profit model touches or exceeds zero.

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