Practice Special Cases - 5 | 9. Quadratic Inequalities | IB Class 10 Mathematics – Group 5, Algebra
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Identify if the inequality x² + 2x + 3 < 0 has real roots.

💡 Hint: Calculate the discriminant.

Question 2

Easy

Is the expression (x - 4)² ≥ 0 always true?

💡 Hint: Remember squares are always greater than or equal to zero.

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 happens when the discriminant is negative in a quadratic inequality?

  • The parabola opens upward
  • There are no real solutions
  • The solutions are all real numbers

💡 Hint: Remember to consider the value of the discriminant.

Question 2

A perfect square expression like (x - 3)² means what regarding its values?

  • True
  • False

💡 Hint: Think about the nature of squares.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the inequality 2x² - 8x + 6 < 0, determine its roots and analyze the sign of the expression.

💡 Hint: Use the quadratic formula or factoring to find the roots.

Question 2

Determine if the quadratic inequality (x + 4)² < 0 has any solutions.

💡 Hint: Reflect on the properties of perfect squares.

Challenge and get performance evaluation