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Mastering Quadratic Inequalities

Authored by Ben Roth

Mathematics

9th Grade

Mastering Quadratic Inequalities
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution set for the inequality x^2 - 5x + 6 < 0?

(1, 2)

(2, 3)

(3, 4)

(-1, 0)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Test the interval (-∞, 2) for the inequality x^2 - 4 > 0. What is the result?

The inequality is satisfied for x in (2, ∞).

The result is that the inequality is satisfied for x in (-∞, -2).

The inequality is satisfied for x in (-2, 2).

The inequality is satisfied for x in (-∞, 0).

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

On a number line, where would you shade for the solution of x^2 + 3x < 10?

Shade the interval (-5, 2) on the number line.

Shade the interval (-10, -5) on the number line.

Shade the interval (-3, 0) on the number line.

Shade the interval (2, 5) on the number line.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the intervals where the inequality x^2 - 2x - 3 ≤ 0 holds true.

[0, 2]

[3, 5]

[-2, 0]

[-1, 3]

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the roots of the quadratic equation x^2 - 4x + 3 = 0 are 1 and 3, what is the solution set for x^2 - 4x + 3 > 0?

(3, \infty)

(1, 3)

(-\infty, 1) \cup (3, \infty)

(-\infty, 3)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using a number line, represent the solution set for the inequality x^2 - 1 ≥ 0.

(-∞, 1) ∪ (1, ∞)

The solution set is represented on the number line as: (-∞, -1] ∪ [1, ∞).

[-1, 1]

[-1, ∞)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What intervals should be tested for the inequality x^2 + 2x - 8 < 0?

(-6, -2)

(0, 4)

(-5, -3)

(-4, 2)

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