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

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

In this set of Quizlet flash cards test understanding of nonlinear systems.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

To see the complete Quizlet Flash Card Library, click on this link: https://media4math.com/Quizlet-Resources

This is the transcript for the video of same title. Video contents: 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.

To view the full video: https://www.media4math.com/library/algebra-applications-systems-equations

This is the transcript for the video of same title. Video contents: 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.

To view the full video: https://www.media4math.com/library/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

This is the transcript for the video of same title. Video contents: Secret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message.

To view the full video: https://www.media4math.com/library/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

This is the transcript for the video of same title. Video contents: 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.

To view the full video: https://www.media4math.com/library/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

This is the transcript for the video of same title. Video contents: 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

To access the full video: https://media4math.com/library/algebra-nspirations-solving-systems-equations

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

This is the transcript for the video of same title. Video contents: In this Investigation we solve a linear system.

This transcript corresponds to Segments 1 and 2 of Algebra Nspirations: Solving Systems of Equations. To view those videos click on the following links:

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

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

This is the transcript for the video of same title. Video contents: In this Investigation we use matrices and the elimination method to solve a linear system.

This transcript corresponds to Segments 3 and 4 of Algebra Nspirations: Solving Systems of Equations. To view those videos click on the following links:

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

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