Graphing Systems of Inequalities

Graphing Systems of Inequalities

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to graph a system of inequalities using slope-intercept form. It begins by plotting the first inequality with a Y-intercept of -2 and a positive slope of 2. The second inequality is graphed with a Y-intercept of 2 and a negative slope of -1. The tutorial then demonstrates shading the regions above or below the lines based on the inequality symbols. Finally, it identifies the intersection of the shaded regions, which represents the solution set that satisfies both inequalities.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a system of inequalities?

Identify the x-intercept

Convert to standard form

Identify the slope-intercept form

Find the vertex

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the first inequality?

1

0

-2

2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the slope of the first inequality?

By using the quadratic formula

By finding the midpoint

By looking at the coefficient of x

By dividing the y-intercept by the x-intercept

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the second inequality?

-2

0

-1

2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the second inequality?

2

-2

-1

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the first inequality, where should the shading be applied?

To the left of the line

Below the line

Above the line

On the line

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'greater than or equal to' symbol indicate for shading?

Shade above the line

Do not shade

Shade below the line

Shade on the line only

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