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Graphing a linear inequality with variable on both sides

Graphing a linear inequality with variable on both sides

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve linear inequalities by converting them into the Y=MX+B format. It covers the steps to isolate Y, graph the inequality using intercepts and slope, and determine whether to use a solid or dashed line. The tutorial also explains how to decide which side of the line to shade by testing a point.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a linear inequality in the form of Y = MX + B?

Multiply both sides by X

Divide both sides by X

Subtract X from both sides

Add X to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing a linear inequality, what does the Y-intercept represent?

The steepness of the line

The slope of the line

The point where the line crosses the X-axis

The point where the line crosses the Y-axis

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the slope of a line when graphing a linear inequality?

By subtracting the X coordinate from the Y coordinate

By adding the X and Y coordinates

By dividing the change in Y by the change in X

By finding the Y-intercept

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of line should be drawn if the inequality is 'greater than or equal to'?

Dashed line

No line

Solid line

Dotted line

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use a test point when graphing a linear inequality?

To determine the Y-intercept

To find the slope of the line

To calculate the exact coordinates of the line

To verify which side of the line satisfies the inequality

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