The video tutorial covers the topic of graphing systems of linear inequalities. It begins with an introduction to linear inequalities and explains how to graph them using the y-intercept and slope. The tutorial demonstrates graphing two inequalities, one with a solid line and the other with a dotted line, and explains how to determine the solution region by shading. It also covers how to check if specific points are solutions to the system. The video concludes with a review and instructions for practice.

What is a system of linear inequalities?

• A single linear equation

• Two or more linear equations or inequalities

• A quadratic equation

• A polynomial equation

When graphing inequalities, where do you start?

• With the y-intercept

• With the slope

• With the origin

• With the x-intercept

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CCSS.HSA.REI.D.12

How do you determine the slope from the equation y = 2x - 1?

• The slope is 0

• The slope is 1

• The slope is -1

• The slope is 2

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CCSS.8.EE.B.5

What type of line is used for the inequality y ≤ 2x - 1?

• No line

• Dotted line

• Dashed line

• Solid line

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CCSS.HSA.REI.D.12

For the inequality y > x/3 + 1, which region should be shaded?

• No shading required

• Below the line

• Above the line

• On the line

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CCSS.HSA.REI.D.12

What does a dotted line represent in graphing inequalities?

• The inequality is cubic

• The inequality is quadratic

• The inequality does not include the line

• The inequality includes the line

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CCSS.HSA.REI.D.12

If a point lies on a dotted line, is it a solution to the inequality?

• Only if it is a solid line

• Yes, always

• Only if it is shaded

• No, never

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CCSS.HSA.REI.D.12

Which point is a solution if it lies in both shaded regions?

• (2, 3)

• (2, 1)

• (3, 2)

• (-5, 2)

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CCSS.HSA.REI.D.12

What is the y-intercept of the equation y = -1/2x + 5?

• 5

• -1/2

• 1

• 0

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CCSS.8.EE.B.6

CCSS.8.F.A.3

In the final graph, which region represents the solution to the system?

• The region shaded in green

• The region shaded in pink

• The region shaded in orange

• The region shaded in blue

Tags

CCSS.HSA.REI.D.12