In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations-segment-1-profit-and-loss

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-profit-and-loss

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations-segment-2-encryption

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-encryption

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola.

This video includes a Video Transcript: https://www.media4math.com/library/video-transcript-algebra-applications-systems-equations-segment-3-ballistic-missiles

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-applications-ballistic-missiles

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems.

This video includes a video transcript: https://media4math.com/library/video-transcript-algebra-nspirations-solving-systems-equations

A Promethean Flipchart is available for this video: https://www.media4math.com/library/promethean-flipchart-algebra-nspirations-systems-equations

In this Investigation we solve a linear system.

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

• https://www.media4math.com/library/algebra-nspirations-solving-systems-equations-segment-2

A Video Transcript for Algebra Nspirations: Solving Systems of Equations, Segments 1 and 2 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-solving-systems-equations-part-1

In this Math Lab, we explore the break-even point for a business.

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

• https://www.media4math.com/library/algebra-nspirations-solving-systems-equations-segment-1

A Video Transcript for Algebra Nspirations: Solving Systems of Equations, Segments 1 and 2 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-solving-systems-equations-part-1

In this Investigation we use matrices and the elimination method to solve a linear system.

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

• https://www.media4math.com/library/algebra-nspirations-solving-systems-equations-segment-4

A Video Transcript for Algebra Nspirations: Solving Systems of Equations, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-solving-systems-equations-part-2

In this Math Lab we explore the graphical solution of a nonlinear system.

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

• https://www.media4math.com/library/algebra-nspirations-solving-systems-equations-segment-3

A Video Transcript for Algebra Nspirations: Solving Systems of Equations, Segments 3 and 4 is available via the following link:

• https://www.media4math.com/library/video-transcript-algebra-nspirations-solving-systems-equations-part-2

In this episode of Algebra Applications, students explore various scenarios that can be explained through the use of systems of equations. Such disparate phenomena as profit and loss, secret codes, and ballistic missile shields can be explored through systems of equations. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Profit and loss are the key measures in a business. A system of equations that includes an equation for income and one for expenses can be used to determine profit and loss. Students solve a system graphically. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

A ballistic missile shield allows you to shoot incoming missiles out of the sky. Mathematically, this is an example of a linear-quadratic system. Students graph such a system and find the points of intersection between a line and a parabola. 

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems.

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

In this Investigation we solve a linear system. This video is Segment 1 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. Segments 1 and 2 are grouped together. To access Algebra Nspirations: Solving Systems of Equations, Segment 2, click the following link: • https://www.media4math.com/library/algebra-nspirations-solving-systems-equations-segment-2

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

In this Investigation we use matrices and the elimination method to solve a linear system. This video is Segment 3 of a 4 segment series related to Algebra Nspirations: Solving Systems of Equations. Segments 3 and 4 are grouped together. To access Algebra Nspirations: Solving Systems of Equations, Segment 4, click the following link: • https://www.media4math.com/library/algebra-nspirations-solving-systems-equations-segment-4

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link

In this TI Nspire tutorial for the TI-Nspire CAS, the Calculator Window is used to solve a linear system. 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-cas-solving-system-two-linear-equations

A Video Transcript is available for this tutorial at this Link

Note: The download is Media4Math's guide to closed captioned videos.

Other Closed Captioned Videos

To see the complete collection of Closed Captioned Videos, click on this Link.

The definition of the term "Graphical Solutions to Linear Systems."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Linear System."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Non-Linear Systems."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Solving a Linear System Using Elimination."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Solving a Linear System Using Matrices."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

The definition of the term "Solving a Linear System Using Substitution."

Note: The download is a JPG file.

Related Resources

To see the complete collection of glossary terms in the Visual Glossary, click on this link: https://media4math.com/Visual-Glossary

In this Slide Show, learn how to solve a linear system by the elimination method. Note: The download is a PPT file.

This slide show defines non-linear systems, showing examples of linear and quadratic systems. Note: The download is a PPT file.