Linear System Teacher Resources
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CK-12 Foundation
Ck 12: Algebra: Comparing Methods for Solving Linear Systems
[Free Registration/Login may be required to access all resource tools.] This lesson covers determining the best method to solve a linear system.
Khan Academy
Khan Academy: Algebra: Conic Sections: Non Linear Systems of Equations 3
The final video in a series of lessons on solving non-linear systems of equations. A quadratic system is given and, in the process of solving algebraically, it is determined that there is no solution. This conclusion is confirmed...
University of St. Andrews (UK)
University of St. Andrews: Gabriel Cramer
Information about the life of Gabriel Cramer (1704-1752 CE), 18th century mathematician credited with "Cramer's Rule," though "Cramer was certainly not the first to give this rule."
Other
Algebra.com: Linear Equation and System Solvers: Solve Linear Systems
This interactive linear system solver allows you to enter two linear equations in general form and then plot the lines and find the answer using either substitution or elimination. The answer is presented with both methods accompanied by...
Khan Academy
Khan Academy: Non Linear Systems of Equations: Non Linear Systems of Equations 1
A video lesson on solving a non-linear system of equations graphically.
Math Planet
Math Planet: The Substitution Method for Solving Linear Systems
A way to solve a linear system algebraically is to use the substitution method. The substitution method functions by substituting the one y-value with the other. This resource explains this method by showing an example along with a video.
CK-12 Foundation
Ck 12: Algebra: Graphs of Linear Systems
[Free Registration/Login may be required to access all resource tools.] Students learn to solve a linear system by graphing. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Sophia Learning
Sophia: Simultaneous Linear Equations With Infinite Solutions: Lesson 11
This lesson explores how to determine if in a linear system of equations, two equations have all value pairs in common. It is 11 of 11 in the series titled "Simultaneous Linear Equations with Infinite Solutions."
Sophia Learning
Sophia: Simultaneous Linear Equations With Infinite Solutions: Lesson 8
This lesson explores how to determine if in a linear system of equations, two equations have all value pairs in common. It is 8 of 11 in the series titled "Simultaneous Linear Equations with Infinite Solutions."
Sophia Learning
Sophia: Simultaneous Linear Equations With No Solution: Lesson 6
This lesson explores how to determine if a linear system of equations has no value pairs in common. It is 6 of 10 in the series titled "Simultaneous Linear Equations with No Solution."
Sophia Learning
Sophia: Simultaneous Linear Equations With No Solution: Lesson 7
This lesson explores how to determine if a linear system of equations has no value pairs in common. It is 7 of 10 in the series titled "Simultaneous Linear Equations with No Solution."
Sophia Learning
Sophia: Simultaneous Linear Equations With No Solution: Lesson 10
This lesson explores how to determine if a linear system of equations has no value pairs in common. It is 10 of 10 in the series titled "Simultaneous Linear Equations with No Solution."
Khan Academy
Khan Academy: Solving a System of 3 Equations and 4 Variables Using Matrix
Sal solves a linear system with 3 equations and 4 variables by representing it with an augmented matrix and bringing the matrix to reduced row-echelon form.
CK-12 Foundation
Ck 12: Algebra: Linear Systems: Solve by Graphing & Substitution
This comprehensive study guide highlights the main terms and formulas needed to review linear systems, specifically solving by graphing and substitution. Examples are included.
CK-12 Foundation
Ck 12: Algebra: Graphs of Linear Systems
[Free Registration/Login may be required to access all resource tools.] Students find ordered pairs that satisfy a system of linear equations and solve linear systems by graphing. Students examine guided notes, review guided practice,...
CK-12 Foundation
Ck 12: Algebra: Graphs of Linear Systems
[Free Registration/Login may be required to access all resource tools.] Students learn to solve linear systems by graphing. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Problem Solving Using Linear Systems
Ten problems present practice using problem-solving with linear systems in real-world situations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
CK-12 Foundation
Ck 12: Algebra: Systems Using Substitution
[Free Registration/Login may be required to access all resource tools.] Solve linear systems by using substitution.
Khan Academy
Khan Academy: Algebra: Conic Sections: Non Linear Systems of Equations 2
The second in a series of video lessons on solving non-linear systems of equations. This video shows an example of how to solve a system in which both equations are quadratic by using the substitution method. After the solutions are...
Illustrative Mathematics
Illustrative Mathematics: A rei.c.7 & a rei.d.10: A Linear and Quadratic System
The purpose of this task is to give students the opportunity to make connections between equations and the geometry of the graphs. Aligns with A-REI.C.7and A-REI.D.10.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales
In Spanish. Learn the algebraic language to represent and solve systems of two linear equations with two unknowns.
CK-12 Foundation
Ck 12: Algebra: Writing and Solving a Matrix Equation
[Free Registration/Login may be required to access all resource tools.] This lesson covers using a matrix equation to solve a system of linear equations.
Massachusetts Institute of Technology
Mit: Open Course Ware: Introduction to Numerical Analysis for Engineering
College-level electrical engineering course highlighting numerical analysis for engineers. This course introduces students to the formulation, methodology, and techniques for numerical solution of engineering problems. Course features...
Interactive Mathematics
Interactive Mathematics: Graphical Solutions of a System
An example of how to find the solution of a linear system is presented using the graphing method. This is a nice tutorial for students to use as a reference while practicing with linear systems.
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