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Texas Instruments
A Tale of Two Lines
Students graph systems of equation. In this calculus lesson, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
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...
Curated OER
Solving System of Linear Equations
Students solve systems of equations. For this algebra lesson, students identify the number of solutions to a system of equation. They solve using linear combination and graphing.
Charleston School District
Pre-Test Unit 6: Systems
As if solving equations with an x isn't tricky enough, now they add a y, too? A pre-assessment gauges the knowledge of your classes related to systems. They are asked to solve graphically and algebraically and to solve word...
Charleston School District
Solving Systems with Elimination
Can you handle one more method? It just might be your favorite! Building on the skills learned in the previous lessons in the series, scholars now learn the elimination method. The video examines problems of varying difficulty.
5280 Math
More or Less the Same
Tell the story of the math. Given a graph of a linear system, learners write a story that models the graph before crafting the corresponding functions. Graphs intersect at an estimated point, allowing for different variations in the...
Virginia Department of Education
Road Trip
Help plan a road trip with linear equations. Scholars consider two different rental car companies and write equations representing the cost for each company. They graph the system of equations to determine the conditions under which each...
Curated OER
Balanced Systems of Equations
Students solve equations. In this algebra lesson, students relate solving equations to a balanced scale. They add, subtract, multiply and divide on both sides to keep the scale balanced.
Curated OER
Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
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...
Illustrative Mathematics
Sammy's Chipmunk and Squirrel Observations
Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns. Scholars could find the answer algebraically or create a table to analyze the...
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
Concord Consortium
Parameters and Clusters II
Let's give parameters a second try. Scholars take a second look at a system of linear equations that involve a parameter. Using their knowledge of solutions of systems of linear equations, learners describe the solution to the system as...
Curated OER
A Point of Intersection
Middle schoolers factor and solve systems of equation. For this algebra lesson, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.
Los Angeles County Office of Education
California State Standards: Algebra I
Starting a year of Algebra I? This mighty packet practices all of the major topics with different ranges of difficulty. Standards include everything from linear to quadratic to rational expressions. Use it in a...
Mathematics Assessment Project
Maximizing Profits: Selling Boomerangs
You'll return to this resource again .. .and again ... and again. Class members determine the maximum profit of a boomerang-making business by solving a system of equations. They then review and analyze provided sample responses to...
Noyce Foundation
On Balance
Investigate the world of unknown quantities with a creative set of five lessons that provides problem situations for varying grade levels. Each problem presents a scenario of fruit with different weights and a balance scale. Using the...
Concord Consortium
Parameters and Clusters I
Chase the traveling solution. Pupils analyze the solutions to a system of linear equations as the parameter in one equation changes. Scholars then use graphs to illustrate their analyses.
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...
Curated OER
Solving Systems of Inequalities
For this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
Illustrative Mathematics
Fixing the Furnace
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Curated OER
Systems of Linear Inequalities
In this Algebra I/Algebra II worksheet, students solve systems of linear inequalities by graphing the inequalities on a coordinate plane and determining the location of all ordered pairs that solve the system. The three page...
Curated OER
Solve a System of Inequalities
In this system of linear inequalities learning exercise, students solve 5 problems with the graphing method and are given 2 examples with multiple steps to follow.