Worksheet
Curated OER

Solving Linear Systems by Graphing #4

For Students 6th
In this problem solving worksheet, 6th graders solve 4 sets of linear system equations involving addition and subtractions by graphing out the answers to each equation.
Worksheet
Curated OER

Solving Linear Systems by Substitution

For Students 8th - 11th Standards
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get...
Assessment
Mathed Up!

Simultaneous Equations

For Students 8th - 11th
How do you solve systems of linear equations? Scholars watch a video to learn how to solve systems using elimination-combination. After viewing the video, they solve seven systems of equations.
Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
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...
Worksheet
Curated OER

Applications of Linear Systems

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, learners solve verbal problems whose solution requires the use of a system of linear equations.  The five page worksheet contains a combination of thirty-one multiple choice and free response...
Worksheet
Curated OER

Integrated Algebra Practice: Systems of Linear Equation Word Problems

For Students 9th - 12th
In this systems of equations learning exercise, students solve 10 short answer problems. Students write and solve systems of equations given a word problem.
Worksheet
Curated OER

Solving Systems of Equations by Graphing

For Students 8th - 10th
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.
Interactive
Curated OER

Solving System of Equations by Addition

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students solve systems of linear equations by addition.  The one page interactive worksheet contains ten questions.  Answers and hints are provided.
Lesson Plan
Virginia Department of Education

Road Trip

For Teachers 8th - 10th
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...
Activity
5280 Math

Go with the Flow

For Teachers 8th - 12th Standards
Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...
Assessment
Curated OER

Dental Impressions

For Teachers 7th - 10th Standards
What an impressive task it is to make dental impressions! Pupils learn how dentists use proportional reasoning, unit conversions, and systems of equations to estimate the materials needed to make stone models of dental impressions....
Lesson Plan
Curated OER

Comparing Value for Money: Baseball Jerseys

For Teachers 8th Standards
Learners step up to the plate as they first complete an assessment task using linear equations to determine the best company from which to buy baseball jerseys. They then evaluate provided sample responses identifying strengths and...
Activity
PBL Pathways

Gas Prices

For Teachers 10th - Higher Ed Standards
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
Assessment
Achieve

Ground Beef

For Students 7th - 10th Standards
Ever wonder how a butcher creates the different types of ground beef? Young mathematicians explore the methods butchers use to create their desired ground beef quality. Given a combination of two types of meat with varying...
Lesson Plan
Fredonia State University of New York

Watch Your Step…You May Collide!

For Teachers 8th - 10th Standards
Can two lines intersect at more than one point? Using yarn, create two lines on the floor of the classroom to find out. Cooperative groups work through the process of solving systems of equations using task cards and three different...
Lesson Plan
Illustrative Mathematics

Sammy's Chipmunk and Squirrel Observations

For Teachers 7th - 9th Standards
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...
Activity
PBL Pathways

Boogie Boards

For Students 10th - Higher Ed Standards
Solve a complex business puzzle by building a linear programming model. An engaging project-based learning problem has classes examining transportation costs and manufacturing limitations from several plants. Ultimately, they use their...
Lesson Plan
Curated OER

Solving Systems of Equations Algebraically

For Teachers 9th - 10th
Students solve systems of equations algebraically. In this algebra lesson, students solve systems using substitution and elimination. They solve linear and quadratic systems.
Lesson Plan
Curated OER

Systems of Linear Equations Modeling!

For Teachers 9th - 12th
Students focus on finding solutions to situations found in everyday life. Students participate in activities to solve a system of equations, identify the system as consistent and independent, consistent and dependent or inconsistent. ...
Worksheet
Curated OER

Linear Systems and Quadratics

For Students 9th - 11th
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.
Lesson Plan
Curated OER

Systems of Linear Equations - Standard Form

For Teachers 9th - 12th
Learners write systems of equations and find solutions to systems of equations. They explain how they determined their solutions to a system of equations and justify their solutions. In addition, they write equations in standard form and...
Lesson Plan
Curated OER

Investigating Equations of Lines

For Teachers 9th - 12th Standards
High schoolers investigate linear equations as they use technology (Cabri, Jr.) to explore the equations of lines in slope-intercept form. The technology allows learners to manipulate the line and observe the changes in the parameters of...
Worksheet
Curated OER

Linear Inequalities

For Students 9th - 11th
In this linear inequalities activity, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page activity contains 32 problems. Answers are provided at the end of the...
Worksheet
Curated OER

Determining the Point of Intersection Using the TI-83 Plus Calculator

For Students 8th - 10th Standards
Middle and high schoolers graph two lines and identify the point of intersection of each set of line. They use the TI calculator to help them graph and solve. There are six questions with detailed instruction on how to graph correctly.

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