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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...
Curated OER
Systems of Equations
In this algebra worksheet, students solve systems of equation through graphing, linear combination and substitution. There are 3 questions.
Curated OER
A Point of Intersection
Middle schoolers factor and solve systems of equation. In this algebra lesson, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.
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
Solving Systems of Equations by Graphing
In this systems of linear equations learning exercise, students graph two equations on each coordinate grid. All systems are linear. One of the systems is parallel. The others have one point of intersection.
Curated OER
Points of Intersection
Students solve systems of equations. In this solving systems of equations lesson, students look for the intersection of the two lines in the system. Students solve systems that have one solution, no solution, and infinite...
Curated OER
Solve Linear Systems of Equations: Graphing, Substitution, and Elimination
For this system of linear equations worksheet, students solve by using graphing, substitution, and elimination. There are 44 problems.
Curated OER
Algebraic Solutions to Linear Systems
In this algebraic solutions worksheet, learners explore linear equations. They use algebra to solve linear systems of equations. This one-page worksheet contains ten problems.
Curated OER
Rotation of Tasks for Solving Linear Equations
In this linear systems learning exercise, learners solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page learning exercise contains three multi-step problems.
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
CK-12 Foundation
Problem-Solving Models: Subway vs. Taxi
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.
Curated OER
Using a Graph to Solve a System of Linear Equations
In this Algebra I/Algebra II worksheet, students use graphing to solve a system of linear equations. The one page worksheet contains one multiple choice question. Answer is included.
Curated OER
FCAT Real World Solving Linear Equations/Systems
Pupils relate real life situation to the equations, graphs and inequalities. They model real life scenarios using matrices and draw conclusions from their data. This lesson plan is aligned with FCAT.
Curated OER
System of Linear Equations - Word Problems
In this algebra worksheet, students analyze word problems, define variables, set up a system of linear equations, and solve the system. There are 7 questions.
Curated OER
Solving Systems of Inequalities
In this algebra worksheet, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
Curated OER
Addition to Solve System of Linear Equations
In this algebra worksheet, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.
Curated OER
Solving by Substitution or Elimination
In this algebra worksheet, learners solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
Curated OER
MP3 Purchase Plans
Use algebra to solve real world problems. Mathematicians practice use of graphs, tables, and linear functions to solve a problem regarding mp3 purchase plans. They work in groups to solve the problem and present their findings and...
Curated OER
Worksheet #7
In this maximum and minimum of values worksheet, students solve 4 problems, two of which are word problems, related to determining values of a given variable. First, they find the maximum value of P subject to its constraints. Then,...
EngageNY
End-of-Module Assessment Task: Grade 8 Module 4
Connect proportional linear equations and systems. The seven-question assessment is the last installment in a 33-part series. The items cover comparing proportional relationships, slope concepts, and simultaneous linear...
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...
Curated OER
Solving multi-step inequalities and solving systems by elimination
Students solve multi-step equations and apply the process of elimination. In this algebra instructional activity, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on...
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.