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Understanding Systems of Linear Inequalities

Understanding Systems of Linear Inequalities

Assessment

Interactive Video

Mathematics

8th - 10th Grade

Practice Problem

Hard

CCSS
HSA.REI.D.12

Standards-aligned

Created by

Jackson Turner

FREE Resource

Standards-aligned

CCSS.HSA.REI.D.12
The video tutorial explains how to solve a system of linear inequalities by graphing. It covers the process of graphing each inequality, identifying the boundary lines, and shading the appropriate regions. The tutorial emphasizes finding the double-shaded region, which represents the solution set that satisfies both inequalities. The video also demonstrates using test points to verify the correct shading of regions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a system of linear inequalities?

Solve the inequalities algebraically.

Use a calculator to find the solution.

Find the intersection of the inequalities.

Graph the solution of each inequality separately.

Tags

CCSS.HSA.REI.D.12

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing the first inequality, what does a dashed boundary line indicate?

The inequality is equal to.

The inequality is less than.

The inequality is less than or equal to.

The inequality is greater than.

Tags

CCSS.HSA.REI.D.12

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine which side of the boundary line to shade for the first inequality?

By checking the slope of the line.

By drawing a solid line.

By using a test point.

By calculating the y-intercept.

Tags

CCSS.HSA.REI.D.12

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the second inequality's boundary line?

+3/2

-6

-2/3

+2/3

Tags

CCSS.HSA.REI.D.12

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the second inequality, what does a solid boundary line represent?

The inequality is less than.

The inequality is greater than.

The inequality is greater than or equal to.

The inequality is less than or equal to.

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the second inequality?

-2

+2

-6

0

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to a system of linear inequalities?

The region that is shaded twice.

The intersection of the boundary lines.

The area above the first line.

The area below the second line.

Tags

CCSS.HSA.REI.D.12

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