 ## CCSS.MATH.CONTENT.8.EE.C.8.A

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## VIDEO: Algebra Applications: Systems of Equations

### 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 ## VIDEO: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss

### 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 ## VIDEO: Algebra Applications: Systems of Equations, Segment 2: Encryption

### 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 ## VIDEO: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles

### 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 ## VIDEO: Algebra Nspirations: Solving Systems of Equations

### 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 ## VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 1

### 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 ## VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 2

### 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 ## VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 3

### 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 ## VIDEO: Algebra Nspirations: Solving Systems of Equations, Segment 4

### 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 ## Definition--Graphical Solutions to Linear Systems

### The definition of the term "Graphical Solutions to Linear Systems." ## Definition--Linear System

### The definition of the term "Linear System." ## Definition--Non-Linear Systems

### The definition of the term "Non-Linear Systems." ## Definition--Solving a Linear System Using Elimination

### The definition of the term "Solving a Linear System Using Elimination." ## Definition--Solving a Linear System Using Matrices

### The definition of the term "Solving a Linear System Using Matrices." ## Definition--Solving a Linear System Using Substitution

### The definition of the term "Solving a Linear System Using Substitution." ## INSTRUCTIONAL RESOURCE: Solving a Linear System

### In this Slide Show, learn how to solve a linear system by the elimination method. Note: The download is a PPT file. ## INSTRUCTIONAL RESOURCE: Solving Non-linear Systems

### This slide show defines non-linear systems, showing examples of linear and quadratic systems. Note: The download is a PPT file. ## INSTRUCTIONAL RESOURCE: Solving Systems: The Elimination Method

### This slide show shows how to solve a system using the elimination method. Note: The download is a PPT file. ## INSTRUCTIONAL RESOURCE: Solving Systems: The Substitution Method

### This slide show shows how to solve a system using the substitution method. Note: The download is a PPT file. ## INSTRUCTIONAL RESOURCE: What Is a System of Equations?

### This slide show shows what a system of equations is. Note: The download is a PPT file. ## Promethean Flipchart: Algebra Nspirations: Systems of Equations

### 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 Note: The download for this resources is the Promethean Flipchart. To access the full video [Algebra Nspirations: Solving Systems of Equations]: https://media4math.com/library/algebra-nspirations-solving-systems-equations To access the video transcript [Algebra Nspirations: Solving Systems of Equations]: https://www.media4math.com/library/video-transcript-algebra-nspirations-solving-systems-equations ## Quizlet Flash Cards: Non-linear Systems

### 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. ## Quizlet Flash Cards: Solving Systems Using the Elimination Method

### In this set of Quizlet flash cards test understanding of solving systems using the elimination method. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. ## Quizlet Flash Cards: Solving Systems Using the Substitution Method

### In this set of Quizlet flash cards test understanding of solving systems using the substitution method. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. ## Quizlet Flash Cards: Systems of Linear Equations

### In this set of Quizlet flash cards test understanding of linear systems. Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards. 