These are the resources that support this Common Core Standard.
CCSS.MATH.CONTENT.8.EE.C.8.B: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
There are 47 resources.| Title | Description | Thumbnail Image |
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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. |
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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. |
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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-application… |
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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. |
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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. |
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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: |
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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: |
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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: |
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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: |
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Closed Captioned Video: Algebra Applications: Systems of Equations |
DescriptionIn 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. |
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Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 1: Profit and Loss |
DescriptionProfit 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. |
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Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 2: Encryption |
DescriptionSecret codes and encryption are ideal examples of a system of equations. In this activity, students encrypt and decrypt a message. |
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Closed Captioned Video: Algebra Applications: Systems of Equations, Segment 3: Ballistic Missiles |
DescriptionA 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. |
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Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations |
DescriptionWritten and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. |
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Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, Segment 1 |
DescriptionIn 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. |
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Closed Captioned Video: Algebra Nspirations: Solving Systems of Equations, Segment 3 |
DescriptionIn 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: • |
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Closed Captioned Video: Solving a System |
DescriptionIn 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. A Video Transcript is available for this tutorial. |
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Definition--Systems Concepts--Graphical Solutions to Linear Systems |
Definition--Systems Concepts--Graphical Solutions to Linear SystemsThis is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems. |
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Definition--Systems Concepts--Linear System |
Definition--Systems Concepts--Linear SystemThis is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems. |
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Definition--Systems Concepts--Non-Linear Systems |
Definition--Systems Concepts--Non-Linear SystemsThis is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems. |
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Definition--Systems Concepts--Solving a Linear System Using Elimination |
Definition--Systems Concepts--Solving a Linear System Using EliminationThis is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems. |
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Definition--Systems Concepts--Solving a Linear System Using Matrices |
Definition--Systems Concepts--Solving a Linear System Using MatricesThis is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems. |
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Definition--Systems Concepts--Solving a Linear System Using Substitution |
Definition--Systems Concepts--Solving a Linear System Using SubstitutionThis is part of a collection of definitions related to the topic of systems of equations. The focus of most of the terms is linear systems. |
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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. |
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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. |
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