Practice Chapter Summary (8) - Quadratic Inequalities - IB 10 Mathematics

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6 sample questions

Question 1.
Solve the inequality x² + 2x - 8 > 0.
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Factor the quadratic or use quadratic formula.
Question 2.
Solve the inequality x² - 4 ≤ 0.
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Find the roots and determine valid intervals.
3Question 3.
What is the standard form of a quadratic inequality?
- ax² + bx + c < 0
- ax² + bx + c = 0
- ax² + bx + c ≤ 0
- ax² + bx + c <, ≤, >, ≥ 0
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Think about how these inequalities compare expressions.
4Question 4.
The roots of a quadratic equation help to:
- True
- False
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Roots divide the number line into segments.
Question 5.
A toy rocket is launched. Its height in meters is represented by the equation h(t) = -4.9t² + 15t + 2. For what time intervals is the rocket at least 10 meters high?
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Rearranging the terms will help find critical points.
Question 6.
You have a rectangular garden with an area modeled by the inequality x² - 12x + 36 ≥ 0. What does this mean for the dimensions of the garden?
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Pay attention to the context of the inequality when interpreting area.

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