Mathed Up!
Solving Simultaneous Equations Graphically
The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...
Yummy Math
Going to the Game (systems)
Seven real-life math problems require the solving of simultaneous pairs of linear equations. Although a similar approach is taken for most of the problems, the topic of sports stadium concessions should keep the interest level high. As a...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Space
Explore methods for solving linear systems with your classes and introduce learners to using matrices as a viable method. Scholars are able to recognize situations where matrices are the efficient method of solving. Application questions...
Curated OER
Worksheet 3.5 Simultaneous Equations
In this simultaneous equations activity, students solve and complete 7 various types of problems. First, they solve graphically the system of equations shown. Then, students find the number of solutions that each pairs of equations have....
Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
In this solving equations worksheet, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the magic...
Curated OER
Simultaneous Equations
In this simultaneous equations worksheet, pupils solve systems of equations. They graph systems of equations and write equations to fit given situations. This two-page worksheet contains three multi-step problems.
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
Del Mar College
Solving Systems of Equations
Lets keep the system working and show learners the three ways to solve linear systems of equations. Each method includes step-by-step instructions to work their way through the problem. The same problem is used for each method to show...
EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
CK-12 Foundation
Linear Systems with Addition and Subtraction: XYZ Tiles
Cover it up to reveal the values of variables. Using arrangements of colored tiles representing algebraic expressions, pupils layer them over each other to determine the values of variables. The procedure models the elimination method in...
Mathed Up!
Simultaneous Equations with a Quadratic
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.
EngageNY
Graphs Can Solve Equations Too
There are many equations Algebra I learners are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of types...
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Curated OER
Lesson 2 Solving y=mx+b systems
Young scholars solve linear systems using slope intercept form. In this algebra lesson, students solve equations by rewriting them in the form y = mx + b. They evaluate coordinate pairs to see if they are a solution to the problem. Young...
Curated OER
Application of Linear Systems
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
EduGAINs
Introduction to Solving Linear Systems
Word problems offer class members an opportunity to learn the concept of solving linear systems using graphs. Individuals choose a problem based upon preferences, break into groups to discuss solution methods and whether there is...
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
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.
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Curated OER
Chemical Equations and Reactions
Graphic organizers, photos, diagrams, and text bring the world of chemical reactions to life. By viewing this presentation, young chemists learn how to recognize when a chemical reaction has occurred, and how to balance chemical...
EngageNY
Solving General Systems of Linear Equations
Examine the usefulness of matrices when solving linear systems of higher dimensions. The lesson asks learners to write and solve systems of linear equations in four and five variables. Using matrices, pupils solve the systems and apply...
Curated OER
Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
CK-12 Foundation
Graphs of Linear Systems: Heart Rate Tracker
Max out heart rates for males and females. Formulas of maximum heart rates provide the equations for a linear system. Pupils use the interactive to graph the equations for males and females and determine their points of intersection. The...
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...