Curated OER
Solving Systems of Equations by Graphing
In this systems of linear equations worksheet, 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
Linear Systems: Linear Equations, Vectors and Matrices
For this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
Virginia Department of Education
Road Trip
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...
Illustrative Mathematics
Fixing the Furnace
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...
Curated OER
Solving Linear Systems by Graphing
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
Curated OER
Solving Linear Equations
Use this worksheet for practice or review solving linear equations in one variable. Problems range from multiple-step problems involving parentheses and combining like terms, to word problems, to equations with no solution or infinitely...
Curated OER
Solving Systems of Equations
Young scholars, using algebraic operations, solve and check linear equations. At the beginning of class, they write a paragraph comparing the solving of math problems to solving real life problems. Students observe solving systems of two...
Curated OER
Linear Systems: General Solutions
In this linear system worksheet, learners explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
EngageNY
Solving Equations Involving Linear Transformations of the Coordinate Plane
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
Curated OER
Systems of Equations and Real Life
What a great classroom resource! The intention of this lesson is to show that real-world math can and should be applied to the community in which your students reside. The class relates properties of equations to solving for species...
Curated OER
Do These Systems Meet Your Expectations
This lesson is all about systems of equations and their graphs. Algebra learners create and solve systems of equation using tables and graphing. They identify the point of intersection of a system of equation, and discover what the...
Curated OER
Systems of Equations: What Method Do You Prefer?
Students explore the concept of solving systems of equations. In this solving systems of equations lesson, students watch YouTube videos about how to solve systems by graphing and by elimination. Students use an interactive website to...
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...
Curated OER
Graphing Systems of Inequalities
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Curated OER
Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
Curated OER
Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
Curated OER
Linear - Quadratic Systems
In this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
Curated OER
Two-Variable Linear Inequalities
Here is an engaging lesson on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Curated OER
Numerical Analysis: Solving Systems Of Non-Linear Equations
In this numerical analysis worksheet, students solve systems of non-linear equations. Examples and explanation are provided. This two-page worksheet contains approximately three problems.
Curated OER
Systems of Equations
Young scholars solve inequalities and systems of equations. In this algebra lesson, students use substitution and elimination as they solve algebraic systems. They use graphing and a table to support their solutions.
Curated OER
Systems of Equations (Systems Project Part 1)
In this systems of equations learning exercise, learners identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for...
Inside Mathematics
Printing Tickets
Determine the better deal. Pupils write the equation for the cost of printing tickets from different printers. They compare the costs graphically and algebraicaly to determine which printer has the best deal based upon the quantity of...
Curated OER
Residential Power System
Perform data analysis on energy consumption to apply algebraic expressions to the real world. Learners will write and solve equations that answer various questions from residential power use. They will collect data at home and calculate...
Henrico County Public Schools
Solving Systems of Equations Algebraically
Looking to review solving systems of equations algebraically? An educational slideshow presentation explains the methods of elimination and substitution, works through example problems, and provides practice problems.