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.
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A Point of Intersection
Students factor and solve systems of equation. In this algebra lesson plan, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.
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Solving Systems using Elimination
Using elimination to find the point of intersection of two lines, students learn to solve systems of equation. They graph their solutions and use the TI to verify the solution.
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...
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Solving Systems of Equations by Graphing
In this systems of linear equations worksheet, learners graph two equations on each coordinate grid. All systems are linear. One of the systems is parallel. The others have one point of intersection.
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Points of Intersection
Students solve systems of equations. In this solving systems of equations lesson plan, students look for the intersection of the two lines in the system. Students solve systems that have one solution, no solution, and...
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Solving Systems by Graphing
Students solve systems of equation through graphing. In this algebra lesson, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their lines...
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Solve Linear Systems of Equations: Graphing, Substitution, and Elimination
In this system of linear equations worksheet, high schoolers solve by using graphing, substitution, and elimination. There are 44 problems.
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Systems of Linear Inequalities 2
Learners solve systems of inequalities. In this lesson, they identify the solution of the two lines and shade the solution. They identify the boundary line and the region representing the solution.
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Solving Systems with Row Operations 1
Students solve systems of equations. In this algebra instructional activity, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
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Algebraic Solutions to Linear Systems
In this algebraic solutions worksheet, students explore linear equations. They use algebra to solve linear systems of equations. This one-page worksheet contains ten problems.
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Rotation of Tasks for Solving Linear Equations
In this linear systems instructional activity, students solve systems of equations using three different methods: substitution, adding and subtracting, and graphing. This two-page instructional activity 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.
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Least Squares
In this least squares learning exercise, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the...
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Solve Linear Systems by Substitution
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
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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.
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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.
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System of Linear Equations - Word Problems
In this algebra worksheet, high schoolers analyze word problems, define variables, set up a system of linear equations, and solve the system. There are 7 questions.
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Solving Systems of Inequalities
In this algebra instructional activity, students solve systems of inequality using the graphing method. There are 5 questions with lots of examples and an answer key.
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Solution Sets and Linear Independence of Vectors
Eleventh graders study homogeneous linear systems. In this linear system of equations lesson plan, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence...
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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.
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Solving by Substitution or Elimination
In this algebra worksheet, students 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...