Practice Inquiry-based Challenge (7) - Quadratic Equations - IB 10 Mathematics – Group 5, Algebra

Practice: Inquiry-Based Challenge

Lesson 7Quadratic Equations

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10 questions

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6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What quadratic function describes the height of a ball thrown upwards?
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The general form is h(t) = at^2 + bt + c.
Question 2.
Identify a condition for a quadratic equation to have real roots.
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D = b^2 - 4ac.
3Question 3.
What does the discriminant tell us about a quadratic equation?
- It confirms the roots.
- It indicates the nature of the roots.
- It shows the maximum height.
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Remember the different cases of the discriminant.
4Question 4.
Is the maximum height always achieved at the vertex of a downward-opening parabola?
- True
- False
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Think about the shape of the parabola.
Question 5.
A football is kicked from ground level with an initial velocity of 25 m/s. Find out how long it takes to reach the max height and what that height is.
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Remember to model the height as a function of time.
Question 6.
A rock is thrown from a height of 15 m with a speed of 10 m/s. Formulate the quadratic equation representing its height over time and calculate its height after 1 second.
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Don’t forget to put in the time into the height function.

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