Willow Tree
Systems of Equations
Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.
Curated OER
Practice solving systems of equations
Eleventh graders solve systems of equation. In this algebra instructional activity, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to...
Curated OER
Solving Systems of Equations
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations lesson plan, they work through problems of solving systems by substitution, elimination, and graphing....
Ohio Literacy Resource Center
Solving Systems of Linear Equations Graphing
Do you need to graph lines to see the point? A thorough lesson plan provides comprehensive instruction focused on solving systems of equations by graphing. Resources include guided practice worksheet, skill practice worksheet, and an...
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...
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Curated OER
Solving Systems of Equations
Students, using algebraic operations, solve and check linear equations. At the beginning of class, they write a paragraph comparing the solving of math problems to solving real life problems. Students observe solving systems of two...
Curated OER
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
Curated OER
Solving Systems of Equations by Substitution
In this systems of equations worksheet, students solve equations by substitution. Through substitution, students evaluate equations for both x and y. Answers are given as an ordered pair. This two page worksheet contains 16 problems,...
Curated OER
Systems of Equations Word Problems
In this systems of equations learning exercise, students read word problems, write equations, and solve the systems of equations. They use graphing, elimination, or substitution to solve the problems. This four page learning exercise...
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.
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
Systems of Linear Equations
Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.
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,...
Google
Solving Systems of Equations Foldable
Two of the strategies for solving systems of linear equations are represented in this foldable: substitution and elimination. Learners solve three examples of each.
Curated OER
Investigation: Linear Quadratic Systems
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
Curated OER
Solving Systems of Equations by Substitution
In this systems of equations worksheet, students solve 20 problems. The first 6 problems have one equation in the y-intercept form. The following 10 problems have one variable that has a coefficient of +1. The final four problems require...
Curated OER
System of Equations: Elimination Method Using Addition and Subtraction
In this system of equations worksheet, learners decide if the addition, subtraction, or substitution method works best for 15 problems of two equations and two unknowns and then use the preferred method to solve the system. Theys are...
EngageNY
Solution Sets to Simultaneous Equations (part 2)
Do you want your budding mathematicians to be able to explain 'why' and not just 'do'? This lesson plan encourages an understanding of the process of elimination. Pupils are expected to understand how and why the elimination method is a...
Kenan Fellows
Balancing Equations Using Matrices
Matrices help solve systems of equations in chemistry, computer graphics, circuitry, probability, and more. The second lesson in a seven-part series focuses on using matrices to balance chemical equations. Pupils rely on the Law of...
Math Worksheets 4 Kids
Equation in Matrix Form
This simple, neat, worksheet, gives learners some systems of linear equations to translate into matrix form. An answer key is included. The matrix of rows and columns are then ready for students to take the next step of solving the...
Curated OER
Finding X and Y Intercepts
How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...
Curated OER
Solving Systems of Linear Equations: Substitution Method
In this systems of equations worksheet, students use the substitution method to solve systems of linear equations. This one-page worksheet contains eight problems, with answers.
Curated OER
Systems - Money Problems
In this systems of equations learning exercise, students solve 9 word problems about money. Students determine the number of nickels and dimes, quarters and half-dollars, and profit from ticket sales by writing a system of equations and...