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...
Lesson Plan
Curated OER

Awareness of Pre-algebra Concepts

For Teachers 3rd - 8th
Students demonstrate different algebraic equations using Borenson's Hands-On Equation materials. They work in a cooperative group to solve algebraic equations.
Lesson Plan
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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.
Worksheet
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Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
Worksheet
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Systems of Equations

For Students 9th
For this solving systems of equations worksheet, 9th graders solve and complete 12 different problems algebraically. First, they solve each system of equations using substitution. Then, students solve each system of equations using...
Lesson Plan
Curated OER

Review of Systems of Equations

For Teachers 10th - 12th
Students work to complete various algebraic equations using different methods. Given a word problem, students create a poster identifying the various parts of the equation as well as the solution to the problem. Posters are presented...
Worksheet
Curated OER

Solving Systems by Graphing

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, learners solve a system of linear equations by graphing.  The one page worksheet contains one problem.  Answer is provided. 
Worksheet
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Using a Graph to Solve a System of Linear Equations

For Students 9th - 11th
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.
Worksheet
Curated OER

Setting Up Equations

For Students 12th - Higher Ed
In this setting up equations activity, learners solve 4 different problems that include setting up the equations in each problem. They write out an equation or set up an equations that describe each given situation. Then, students state...
Lesson Plan
Curated OER

Solving Systems of Linear Equations Graphically

For Teachers 9th - 10th
Students solve systems of equations graphically. In this algebra lesson, students find the point of intersection of two lines if they are not parallel. They rewrite the equation in the y=mx + b form and graph using slope and intercept.
Lesson Plan
Curated OER

Systems of Equations

For Teachers 9th - 10th
Young scholars solve systems of equations. In this algebra lesson, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.
Lesson Plan
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I Can Do This! Systems of Equations

For Teachers 8th - 9th
Students solve systems of 2-by-2 linear equations using tables, graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
Lesson Plan
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Solving Systems by Substitution

For Teachers 9th - 10th
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
Worksheet
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Seven Advanced Algebra Problem Sets

For Students 11th - 12th
In this advanced algebra activity, students solve seven problem sets covering: linear equations, arithmetic sequence, slope, point-slope, median, linear system, substitution method and the elimination method. 
Lesson Plan
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2 X 2 Linear Systems

For Teachers 7th - 9th
Students solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
Lesson Plan
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Simultaneous Equations Using Elimination

For Teachers 9th - 12th
High schoolers solve a system of two unknowns.  In the Algebra activity, students use a on line computer applet/program to solve a system by the elimination method.  The student's work is self checking, giving immediate...
Lesson Plan
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Linear Systems

For Teachers 7th - 9th
Students solve and graph linear equations. In this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
Worksheet
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Solving Quadratic Systems

For Students 11th
In this solving quadratic systems learning exercise, 11th graders solve 8 different problems. First, they solve each system of equations algebraically. Then, students solve each system of inequalities by graphing on the grids provided...
Lesson Plan
Curated OER

Graphing Systems of Equations - Word Problemsr

For Teachers 8th - 10th
Pupils solve word problems which involve graphing systems of equations. After discussing methods of solving word problems, the teacher demonstrates how to solve problems which involve graphing. They work together, at their desks, and...
Lesson Plan
Curated OER

Solving System of Linear Equations

For Teachers 7th - 9th
Learners solve systems of equations. In this algebra lesson plan, students identify the number of solutions to a system of equation. They solve using linear combination and graphing.
Lesson Plan
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Solving Systems by Elimination

For Teachers 8th - 10th
Students review solving absolute value equations. They watch as the teacher demonstrates solving a system of linear equations by addition. Students practice working problems by multiplying to obtain opposite cooefficients, and then...
Worksheet
Curated OER

Linear Systems: Linear Equations

For Students 11th - Higher Ed
For this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
Worksheet
Curated OER

Topic 3.2 - Solving Systems of Equations Algebraically

For Students 8th - 10th
In this algebraic equation worksheet, students solve 6 systems of equations using substitution. They then solve 6 more in which they use elimination.
Worksheet
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Graphing Systems of Equations

For Students 11th
In this Algebra II worksheet, 11th graders use graphing to determine the solution to a system of linear equations.  The two page worksheet contains explanation and three guided problems.  Answers are not included. 

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