Understanding Quadratic Inequalities

Understanding Quadratic Inequalities

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Hard

Created by

Aiden Montgomery

FREE Resource

This video tutorial introduces quadratic inequalities, explaining their real-life applications in areas like finance. It demonstrates how to solve these inequalities using methods similar to solving quadratic equations, with an emphasis on graphing to identify solution regions. The tutorial includes example problems and encourages viewers to practice solving inequalities, offering additional resources and inviting feedback.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a real-life application of quadratic inequalities mentioned in the video?

Predicting weather patterns

Designing a bridge

Determining the time to film a race car

Calculating the trajectory of a rocket

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method is NOT mentioned as a way to solve quadratic inequalities?

Using logarithms

Completing the square

Graphing

Factorization

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what are the x-values where the quadratic crosses the x-axis?

x = 0 and x = 5

x = -3 and x = 2

x = -2 and x = 3

x = 1 and x = 4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the first quadratic inequality example?

x <= -2 or x >= 3

x < -2 or x > 3

x >= -2 and x <= 3

x > -2 and x < 3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what are the two separate inequality solutions?

x < -4 and x > -2

x >= -4 and x <= -2

x > -4 and x < -2

x <= -4 and x >= -2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are there two separate inequality solutions in the second example?

Because the quadratic is a straight line

Because the quadratic is a circle

Because the quadratic has two separate regions above the x-axis

Because the quadratic has no real roots

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after solving the quadratic inequality?

Sketch the quadratic roughly

Ignore the graph

Find the vertex

Calculate the derivative

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