Linear System Teacher Resources
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CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 1
Eliminate a color by dragging shapes. The interactive provides a graphical color display that allows for pupils to solve a linear system by elimination. Learners combine figures following set rules for positive and negative shapes. The...
Balanced Assessment
Bagels or Donuts
Explore business problems through mathematical analysis. The task has individuals write and graph a linear system to determine the best business model. They use their models to answer a series of questions that help to make a conclusion.
Curated OER
Graphing Solution of a Quadratic and Linear System
For this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Curated OER
Algebraic Solution of a Quadratic, Linear System
In this algebra worksheet, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Krista King Math
System of Two Equations with Subscripts
Show how variables with subscripts are equivalent to those without through a video that shows an example of a linear system with subscripted variables. The instructor uses elimination to solve the system.
Curated OER
Solving Systems of Equations
Learners identify the quadrants and axis of a coordinate plane. In this algebra lesson, students discover the ocrrect way to graph using the coordinate plane. They discuss the relationship between x and y values, domain and range and...
Curated OER
Solving Linear Systems by Graphing #4
For this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
Curated OER
Solutions, Solutions, Could it Be?
Learners graph and solve linear system of equations. In this algebra lesson, students use algebraic and graphing methods to solve their systems. They find the point of intersection for their solution and draw inference from their data.
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation learning exercise, students determine the number of solutions a given linear system has. They find the least square error and the equation of a line of best fit for a set of three points. Students find...
Curated OER
Solving Linear Systems by Substitution
Need a worksheet to reinforce using substitution to solve linear systems of equations? This one contains 4 problems and plenty of work space. Tip: This would be a great quick review, warm up, or pair exercise.
CK-12 Foundation
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
Krista King Math
Ratio and Proportion, Word problems
Combine several mathematics concepts as classes solve linear systems. After writing a system of equations involving a proportion, learners then solve the system. A video instructor uses the substitution method and must work...
Mathispower4u
Solve a System of Equations by Graphing (Infinite Solutions) - Example
What happens when equations are multiples of each other? Pupils see the process of solving a system of equations by graphing. The informative video example shows two equations written in different forms that are actually the same line....
Curated OER
Linear - Quadratic Systems
For this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Curated OER
Linear Systems: General Solutions
In this linear system worksheet, students explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Curated OER
Linear Systems: Projections
In this projection worksheet, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page worksheet contains approximately five problems.
Curated OER
Linear Systems: Nullspace
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
Curated OER
Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
Curated OER
Systems of Three Variables 2
Sal uses the elimination method to simplify a system of three variables. Next, he employs the substitution method to check his solution. This resource would nicely complement any lesson on this topic.
Virginia Department of Education
Nonlinear Systems of Equations
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...
EngageNY
Linear Systems in Three Variables
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.
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
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