Quadratic Inequalities and Equations

Quadratic Inequalities and Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to solve quadratic inequalities by first solving the corresponding quadratic equations to find critical values. It demonstrates graphing the equation to identify sections where the inequality holds true. The video covers examples with both less than and greater than signs, and introduces an alternative method using case analysis.

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What distinguishes a quadratic inequality from a quadratic equation?

The presence of a variable

The presence of an inequality sign

The presence of a coefficient

The presence of a constant term

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation?

Factorizing the equation

Finding the vertex

Completing the square

Graphing the equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions to the equation x^2 + 3x - 10 = 0?

x = 0 and x = 10

x = 3 and x = -3

x = 5 and x = -2

x = -5 and x = 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What shape does the graph of a quadratic equation typically form?

A circle

A V-shape

A straight line

A U-shape

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do the critical values of a quadratic equation represent on its graph?

The x-intercepts

The minimum point

The y-intercepts

The maximum point

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of quadratic inequalities, what does the green section of the graph represent?

Values where the inequality is greater than zero

Values where the inequality is less than zero

Values where the inequality equals zero

Values where the inequality is undefined

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you express the solution to the inequality x^2 + 3x - 10 < 0?

x < -5 or x > 2

x > -5 and x < 2

x < -5 and x > 2

x > -5 or x < 2

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