Linear Systems of Equations Teacher Resources

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.

This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...

Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse...

From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...

Students solve systems of equations algebraically. In this algebra lesson, students solve systems using substitution and elimination. They solve linear and quadratic systems.

Students compare the speed at which they write with their left hand to the speed at which they write with their right hand. The experiment serves as a vehicle to help students develop a conceptual understanding of the three different...

In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...

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...

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...

The second in a series of video lessons on solving non-linear systems of equations.

A video lesson on solving a non-linear system of equations graphically.

A video demonstration on how to find the solution of two systems of equations.

Use substitution and elimination to solve a system of nonlinear equations with variables. Assess learning with a quiz.

Solve linear systems of equations using a graph and take a quiz to assess learning.

A video lesson on solving a non-linear system of equations graphically. The system consists of one quadratic equation and one linear equation. Both are graphed to find the points of intersection. The solutions are confirmed algebraically...

A demonstration on how to find the solution of a linear and a nonlinear systems of equations graphically and by the substitution method.

In this video a quadratic system is given and, in the process of solving algebraically, it is determined that there is no solution. This conclusion is confirmed graphically.

Solve systems of equations with any number of solutions using any solution method. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

[Free Registration/Login may be required to access all resource tools.] Recognize linear systems of equations with solutions and without solutions.

Hotmath provides 21 practice problems dealing with systems of equations and inequalities. Each of the practice problems include a step-by-step guide for solving their algebraic problem.

Use this site to see how graphing and substitution are used to solve systems of equations. The examples have systems that have one, infinite, or no solutions. The site is set up to see the solutions step by step.

[Free Registration/Login may be required to access all resource tools.] Solve systems of linear equations that require multiplication and addition or subtraction to eliminate one of the variables.

[Free Registration/Login may be required to access all resource tools.] Use the elimination method to solve systems of linear equations.