Practice Key Concepts (1) - Quadratic Inequalities - IB 10 Mathematics

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8 questions

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6 sample questions

Question 1.
Solve the inequality $x^2 + 2x - 15 > 0$ .
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Factor the expression to find the roots.
Question 2.
Determine the solutions for $x^2 - 4 \leq 0$ .
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Think about where the parabola touches the x-axis.
3Question 3.
Which of the following represents a quadratic inequality?
- $ x^2 + 5x + 6 = 0 $
- $ x^2 - 4 < 0 $
- $ 2x + 3 = 5 $
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Look for the presence of inequality signs.
4Question 4.
True or False: A quadratic expression must always equal zero.
- True
- False
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Think about the term 'expression' itself.
Question 5.
Given the quadratic inequality $3x^2 - 12x + 9 < 0$ , determine the intervals on the number line where this inequality holds.
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Analyze the sign chart appropriately as discussed.
Question 6.
In a marketing analysis, a company finds a projection described by $x^2 - 4x - 5 \geq 0$ . Determine the maximum levels of production to avoid loss.
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Consider the implications of the parabola's graph!

4 more questions in this section. Enroll free to practise them all.