Illustrative Math Alignment: Grade 7 Unit 7

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This is part of a collection of math clip art images about equations and inequalities.

This collection of clip art images show the contrast between graphs of equations and inequalities for one- and two-variable graphs.

Use these clip art images to show how to solve linear equations and inequalities. Examples include situations where the inequality symbol changes.

Topic

Inequalities

Description

This example demonstrates how to graph the linear inequality y > 2x + 3. The graph shows a dashed line representing the equation y = 2x + 3, with the region above the line shaded to indicate where the inequality holds true. The use of a dashed line signifies that points on the line itself are not included in the solution set.

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y ≤ 3x + 2. The graph features a solid line representing the equation y = 3x + 2, with the area below the line shaded to indicate the region where the inequality is satisfied. The solid line signifies that points on the line are included in the solution set.

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y ≤ -2x + 1. The graph shows a solid line representing the equation y = -2x + 1, with the region below the line shaded to indicate where the inequality holds true. The solid line signifies that points on the line are included in the solution set.

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y ≤ -3. The graph features a solid horizontal line at y = -3, with the region below this line shaded to represent the solution set of the inequality. The use of a solid line indicates that points on the line itself are included in the solution.

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y > -3x + 1. The graph features a dashed line representing the equation y = -3x + 1, with the area above the line shaded to indicate the region where the inequality is satisfied. The dashed line signifies that points on the line are not part of the solution set.

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y > -1. The graph shows a dashed horizontal line at y = -1, with the region above this line shaded to represent the solution set of the inequality. The use of a dashed line indicates that points on the line itself are not included in the solution.

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y < x - 2. The graph features a dashed line representing the equation y = x - 2, with the area below the line shaded to indicate the region where the inequality holds true. The dashed line signifies that points on the line are not included in the solution set.

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y < -3x + 4. The graph shows a dashed line representing the equation y = -3x + 4, with the region below the line shaded to indicate where the inequality holds true. Quadrants II and III are predominantly shaded, illustrating the solution set of this inequality.

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y < 6. The graph features a horizontal dashed line at y = 6, with the region below this line shaded to represent the solution set of the inequality. Quadrants III and IV are entirely shaded, demonstrating where the inequality holds true.

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y ≥ 5x + 3. The graph shows a solid line representing the equation y = 5x + 3, with the region above the line shaded to indicate where the inequality holds true. Quadrants I and II are predominantly shaded, illustrating the solution set of this inequality. The use of a solid line signifies that points on the line are included in the solution.

Topic

Inequalities

Description

This example illustrates the graphing of the linear inequality y ≥ -2x - 1. The graph features a solid line representing the equation y = -2x - 1, with the area above the line shaded to indicate the region where the inequality is satisfied. Quadrants I and IV are predominantly shaded, demonstrating the solution set of this inequality. The solid line signifies that points on the line are included in the solution.

Topic

Inequalities

Description

This example demonstrates the graphing of the linear inequality y ≥ 2. The graph shows a solid horizontal line at y = 2, with the region above this line shaded to represent the solution set of the inequality. The use of a solid line indicates that points on the line itself are included in the solution.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This is part of a collection of math examples that focus on inequalities.

This Teacher's Guide provides an overview of the 12 worked-out examples that show how to graph a linear inequality.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

This is part of a collection of math quizzes on the topic of the Graphing Inequalities.

Related Resources

Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of the Graphing Inequalities.

Related Resources

Quiz Library

ary">click on this link.

This is part of a collection of math quizzes on the topic of the Graphing Inequalities.

Related Resources

Quiz Library

ary">click on this link.

Used in just about any industry, inequalities, like equations, are fundamental building blocks of algebra. Written and hosted by internationally acclaimed mathematics educator Dr. Monica Neagoy, this video explores inequalities—concepts, properties, solutions, and notations— connects them to real-world contexts, and uses the TI-Nspire to make the algebra meaningful. The focus of this program is on linear inequalities in one and two variables. Concepts explored: Equations, inequalities Note: The download for this resources is the Promethean Flipchart.

To view the full video: https://www.media4math.com/library/algebra-nspirations-inequalities

This is the transcript for the video of same title. Video contents: In this episode of Algebra Applications, two real-world explorations of inequalities are developed: Hybrid Cars. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Floods in Venice. Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding.

This is the transcript for the video of same title. Video contents: With the increasing demand worldwide for cars, the cost of gasoline continues to rise. The need for fuel-efficient cars makes hybrids a current favorite. An examination of the equations and inequalities that involve miles per gallon (mpg) for city and highway traffic reveals important information about hybrid cars and those with gasoline-powered engines. Students use the Graphs and Geometry features of the TI-Nspire.

This is the transcript for the video of same title. Video contents: The city of Venice is slowly sinking into the Adriatic Sea. So what does a city whose streets are full of water do about flooding? Venice experiences a great deal of flooding, and with the expected rise of sea levels over the next century, this ancient city is in peril. Through a series of inequalities, students analyze the impact of flooding, rising sea levels, and sinking have on this grand, ancient city. Students use the Lists and Spreadsheets and the Program Editor features of the TI-Nspire.