Search Header Logo
Linear Inequalities and Graphing Concepts

Linear Inequalities and Graphing Concepts

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Ethan Morris

FREE Resource

The video tutorial explains the concept of multiple solutions in systems of linear inequalities, highlighting that these systems have infinite solutions represented by a shaded region. It reviews the differences between linear inequalities and equations, using an example of an art teacher's fundraising effort to illustrate how to model scenarios with inequalities. The tutorial covers defining variables, writing systems of inequalities, and graphing them to interpret solutions. The lesson emphasizes understanding constraints and solutions in the context of linear inequalities.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the nature of solutions in a system of linear inequalities?

A shaded region

No solution

A single point

A line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do the inequalities '2w + 5z > 5' and '2w + 5z ≥ 5' differ?

They have no solutions

The second includes equality

The first includes equality

They are identical

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a system of linear equations, where do the solutions lie?

In a shaded region

At the intersection point

Along a line

There are no solutions

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the minimum amount the art teacher aims to raise?

$500

$700

$900

$1200

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How much does each bracelet cost in the art teacher's fundraising example?

$5

$7

$10

$12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What variable represents the number of necklaces sold?

b

n

y

x

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the green line represent in the graph of the system of inequalities?

The maximum number of bracelets

The minimum amount of money to be raised

The total number of items sold

The maximum number of necklaces

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Microsoft

Continue with Microsoft

or continue with

Facebook

Facebook

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?