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Handout
Oak Ridge National Laboratory

Ornl: 7 Gaussian Elimination on Band Matrices

For Students 9th - 10th Standards
This site gives an example of solving a system of equations with the use of Gaussian Elimination.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Determining the Type of Linear System

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Solve a system and use the result as a guide to identify its type.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Solution Sets

For Teachers 9th - 10th Standards
For this task, students are shown the graphs of two equations, with areas bounded by their lines and intersections shaded in different colors. They are asked to write a system of equations or inequalities for each shaded area and explain...
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Handout
Wyzant

Wyzant: Solving Systems of Equations by Matrix Method

For Students 10th - 12th Standards
Reference material with examples of how to solve system of equations by the matrix method.
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Unknown Type
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Quiz: Markov Systems

For Students 9th - 10th
The online quiz assesses student comprehension of math concepts. The quiz consists of true/false questions about Markov systems.
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Activity
Math Medics

S.o.s. Math: Gaussian Elimination

For Students 9th - 10th Standards
In this lesson, the Gaussian Elimination method is used to solve systems of linear equations. Provides several formulas and examples for understanding.
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PPT
Sophia Learning

Sophia: Equations for the Circle: Lesson 3

For Students 9th - 10th Standards
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 3 of 5 in the series titled "Equations for the Circle."
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Unit Plan
Sophia Learning

Sophia: Equations for the Circle: Lesson 5

For Students 9th - 10th
This lesson presents the standard form and the general form for the equation of a circle, and relates the two. It is 5 of 5 in the series titled "Equations for the Circle."
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Unknown Type
Khan Academy

Khan Academy: Algebra: Constraint Solutions of Systems of Inequalities

For Students 9th - 10th Standards
Find the range of values of one variable that corresponds to a given value of the other variable in a system of two-variable linear inequalities. Students receive immediate feedback and have the opportunity to try questions repeatedly,...
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Activity
Texas Instruments

Texas Instruments: Getting Started With the Ti Navigator: Quadratic Equations

For Teachers 9th - 10th
This lesson introduces students to Activity Center and is intended to help students write systems of equations in standard form in slope intercept form to solve the system using tables and graphs.
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Handout
Other

Algebra.com: Solution: Given a System of Two Equations in Two Variables

For Students 9th - 10th Standards
This activity shows an example of how to solve a system of equations using elimination. Each step is explained in detail. Additional links are provided for more information on properties of equality, solving equations, and solving a...
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Handout
University of St. Andrews (UK)

University of St. Andrews: Gabriel Cramer

For Students 9th - 10th
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."
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Activity
Hofstra University

Hofstra University: Linear Programming

For Students 9th - 10th Standards
This lesson is a review of problems with systems of inequalities. Many of the questions involve real world scenarios as word problems which the reader must decipher and resolve.
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Sistemas De Ecuaciones Lineales

For Students 9th - 10th Standards
In Spanish. Learn the algebraic language to represent and solve systems of two linear equations with two unknowns.
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Activity
Texas Instruments

Texas Instruments: Intersection of a Line With a Parabola

For Teachers 9th - 10th
In this activity, students use Computer Algebra System (CAS) tools to find intersections of linear and non-linear equations. They confirm their answers by graphing the equations on the calculator.
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Unit Plan
Khan Academy

Khan Academy: The Sat Math Test: Heart of Algebra

For Students 9th - 10th
Take a closer look at the SAT Math Test. Math questions on the test fall into different categories called "domains." One of these domains is Heart of Algebra. It focuses strongly on algebra -- especially on the areas of the subject that...
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Activity
Other

Hong Kong University of Science and Technology: Augmented Matrix

For Students 9th - 10th Standards
Demonstration of how an augmented matrix is used to solve a system of linear equations.
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Activity
Math Medics

S.o.s. Math: Application of Determinant to Systems: Cramer's Rule

For Students 9th - 10th
This lesson explains how the determinant is used for Cramer's Rule.
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Lesson Plan
Alabama Learning Exchange

Alex: Focusing on Graphs

For Teachers 9th - 10th Standards
In this lesson, students will solve systems of linear equations by graphing. Systems of linear equations are two or more linear equations together.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei, a Ced Cash Box

For Teachers 9th - 10th Standards
In this task, students are asked to construct equations in two variables to determine whether a loose coin beside a ticket box belongs with the money collected for tickets. They must then explain their reasoning. Aligns with A-CED.A and...
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Testing Solutions for Linear Inequalities

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Write and solve linear inequalities.
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Unit Plan
CK-12 Foundation

Ck 12: Algebra: Linear Inequalities in Two Variables

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Graph linear inequalities to find solutions.
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Unknown Type
Khan Academy

Khan Academy: Interpret Equations Graphically

For Students 9th - 10th Standards
Practice the connection between the graphical representation of equations and their algebraic solutions.
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Unit Plan
Other

Math Portal: Row Reduction Method

For Students 10th - 12th
A step by step of how to solve systems of linear equations using the row reduction method.

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