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Curated OER
Solving a System of Equations
In this Algebra II worksheet, 11th graders determine the solution to a system of one linear and one quadratic equation. The two page worksheet contains a combination of nine multiple choice and free response questions. ...
Curated OER
Doctor, Doctor, Give Me the News, I've Got a Bad Case of Loving Math
Solve a real-world problem of discovering how many doctors and nurses can be hired within budget and building constraints. Using different colored pencils to shade each graph, they then find the intersection points and use these to solve...
Curated OER
Investigation: Linear Quadratic Systems
Investigate linear quadratic systems and pose this question: Do all linear quadratic systems have two solutions? Do they all have a solution? Learners solve systems of equations through graphing. They indicate the points of intersection...
Virginia Department of Education
Graphing Systems of Inequalities
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.
EngageNY
End-of-Module Assessment Task - Algebra 1 (Module 1)
What do your young geniuses really know? Assess the procedural knowledge of your pupils at the same time as their higher-level thinking with an assessment that identifies their depth of knowledge. Topics include solving...
Curated OER
Graphing Systems of Equations
In this systems of equations worksheet, students use graphs to solve systems of equations. They determine if the equation contains one solution, no solution, or many solutions. This one-page worksheet contains ten problems.
Curated OER
Review of Algebra I
Test your class with this online review. They determine the probability of a given situation, solve inequalities, systems of equations, and write numbers in scientific notation. This two-page worksheet contains approximately 60...
Curated OER
Solving a System of Linear and Quadratic Equations
For this Algebra II worksheet, 11th graders use graphing to solve a system of equations in which one equation is linear and the other is quadratic. The three page worksheet contains a combination of nine multiple choice and free...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
West Contra Costa Unified School District
Solving Systems of Inequalities
Don't throw away those transparency sheets just yet! Young scholars first review inequalities on a number line, then learn about graphing inequalities in the coordinate plane. Finally, they use overhead transparencies to create systems...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Curated OER
Non Calculator Simultaneous Equations
Eighth and ninth graders combine pairs of linear equations by multiplying and either adding or subtracting. They find the value of x in the pair of equations. They use substitution to find the value of y. Students use graphing to solve...
Curated OER
Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and complete 9 different problems. First, they graph each system of equations on the coordinate grids provided. Then, students state their solutions.
Mathed Up!
Solving Simultaneous Equations Graphically
The solution resides at the intersection. Pupils use a short instructional activity to review the process of solving a system of linear equations using graphing. The instructional activity provides completed graphs for most of the items,...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...
Curated OER
Which Method Will You Choose? Finding Solutions to Systems of Equations.
Ninth graders investigate systems of linear equations. In this Algebra I lesson, 9th graders determine which method is the best for solving a systems: graphing, substitution, or elimination. Students choose...
Texas Instruments
A Tale of Two Lines
Learners 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.
Curated OER
Making Connections: Matrices, Graph, Linear Systems
In this set of activities, matrices and equations are explored. They work with matrices using pen and paper as well as graphing calculator. Additionally real-world problems are explored.
University of Utah
Simultaneous Linear Equations
Solve simultaneous linear equations, otherwise known as systems of linear equations. Pupils practice solving systems of linear equations by graphing, substitution, and elimination. The workbook provides a class activity and homework...
Illustrative Mathematics
The Intersection of Two Lines
Here is an introduction to solving simultaneous linear equations. Start by drawing a line through two points. Create a second line which goes through the intersecting point. Background knowledge of how to find the equation of a line and...
CK-12 Foundation
Graphs of Linear Systems: Star Lines
Let the class stars shine. Using four given linear equations, scholars create a graph of a star. The pupils use the interactive to graph the linear systems and determine the points of intersection. Through the activity, classmates...
EngageNY
Solution Sets to Simultaneous Equations (part 1)
How are systems related? Build on your pupils' previous knowledge of solving systems of equations by introducing systems of inequalities. Learners explore similarities between systems of equations and inequalities to make a strong...
EngageNY
Graphs Can Solve Equations Too
There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of...
Fredonia State University of New York
Watch Your Step…You May Collide!
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...