Quadratic Inequality Quiz

Quadratic Inequality Quiz

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explains how to solve a quadratic inequality by first setting the inequality to zero, factoring the quadratic equation, and finding the solutions. It then demonstrates how to plot these solutions on a number line, test intervals, and express the solution using interval notation. Finally, the video verifies the solution graphically by highlighting the parts of the graph where the function is above or on the x-axis.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic inequality?

Add a constant to both sides

Multiply both sides by a constant

Set the equation to zero

Divide both sides by a variable

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a factor of the quadratic equation x^2 - 4x - 60?

x - 6

x + 10

x - 10

x + 6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are the roots of the quadratic equation represented on a number line when the inequality is 'greater than or equal to'?

As closed points

As arrows

As open points

As dashed lines

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which test value would you use to check the interval between the roots -6 and 10?

x = -7

x = 6

x = 0

x = 11

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of substituting x = 11 into the inequality x^2 - 4x - 60 ≥ 0?

Positive

Undefined

Zero

Negative

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution of the inequality x^2 - 4x - 60 ≥ 0 in interval notation?

(-∞, -10] ∪ [6, ∞)

(-∞, 6] ∪ [10, ∞)

(-∞, -6) ∪ (10, ∞)

(-∞, -6] ∪ [10, ∞)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the solution of the inequality expressed using inequalities?

x > -6 and x < 10

x ≤ -6 or x ≥ 10

x < -6 or x > 10

x ≥ -6 and x ≤ 10

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