Practice Applications in Real Life - 5 | 2. Quadratic Equations | 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

Write the quadratic equation for a rectangle with an area of 50 m², where the length is 2 m more than the width.

💡 Hint: Set width as x and then express length in terms of width.

Question 2

Easy

What are the roots of the equation x² - 9 = 0?

💡 Hint: Factor the equation to find solutions.

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

Which of the following is an application of quadratic equations?

  • A. Projectile motion
  • B. Straight line graphs
  • C. Simple interest

💡 Hint: Think about different applications you’ve learned.

Question 2

True or False: Quadratic equations can help in optimizing profit.

  • True
  • False

💡 Hint: Recall discussions about maximizing profits in businesses.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A car's trajectory is modeled by the equation h(t) = -5t² + 20t + 15. Determine the time it will take to hit the ground and the maximum height.

💡 Hint: Use the quadratic formula for roots and vertex formula for max height.

Question 2

A rectangular area has a length 3 times its width. If the area is 72 m², find the width and length.

💡 Hint: Express all in terms of x, and rearrange into standard form.

Challenge and get performance evaluation