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.

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.

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.

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.

In this Investigation we explore linear inequalities in one variable.

This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Inequalities, Segment 2, click the following link:

In this Math Lab we look at compound inequalities.

This video is Segment 2 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Inequalities, Segment 1, click the following link:

In this Investigation we look at linear inequalities in two variables.

This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Inequalities, Segment 4, click the following link:

In this Math Lab we look at graphical solutions to linear inequalities.

This video is Segment 4 of a 4 segment series related to Algebra Nspirations: Inequalities. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Inequalities, Segment 3, click the following link:

In this TI Nspire tutorial, the Graph window is used to graph a linear inequality. This video supports the TI-Nspire Clickpad and Touchpad.

This Mini-Tutorial Video includes a WORKSHEET: https://www.media4math.com/library/worksheet-ti-nspire-mini-tutorial-gr…

In this TI Nspire tutorial, the Graph window is used to graph a linear inequality in slope-intercept form using sliders. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is used to create a slider-based graph of a linear function in slope-intercept form. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial, the Graph window is to find the slope of two points connected by a line. This video supports the TI-Nspire Clickpad and Touchpad.

In this TI Nspire tutorial for the TI-Nspire CAS, the Graph Window is used to graph quadratic inequalities. This video supports the TI-Nspire Clickpad and Touchpad.

Video Tutorial: Algebra Tiles: What Are Algebra Tiles? In this tutorial, learn the basics of what algebra tiles are and how they are used. Use this video segment when first introducing algebra tiles.

A Video Transcript is available for this tutorial at this link: Link

Video Tutorial: Algebra Tiles: Modeling Positive Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model positive integers using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Negative Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model negative integers using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Zero Using Algebra Tiles. In this tutorial, students review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model zero using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Variables Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model variables using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Variable Expressions Using Algebra Tiles. In this tutorial, students review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model variable expressions using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Equations Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to model equations using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling One-Step Equations Using Algebra Tiles. In this tutorial, review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model one-step equations using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Multi-Step Equations Using Algebra Tiles. In this tutorial, students review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model multi-step equations using algebra tiles.

Video Tutorial: Algebra Tiles: Modeling Quadratic Equations Using Algebra Tiles. In this tutorial, review the basics of how to use algebra tiles to model equations. Then the video focuses on how to model quadratic equations using algebra tiles.

Video Tutorial: Algebra Tiles: Adding Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to add integers using algebra tiles.

Video Tutorial: Algebra Tiles: Subtracting Integers Using Algebra Tiles. In this tutorial, review the basic definition of what algebra tiles are and how they are used. Then the video focuses on how to subtract integers using algebra tiles.