EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
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...
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....
Curated OER
Unit 9 Review
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, learners write out a...
Washingtonville Central School District
Systems of Equations (Substitutes and Elimination)
With a whopping total of 66 questions, here is a resource that provides a full variety of systems of equations questions using elimination and substitution solution methods.
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
EngageNY
Another Computational Model of Solving a Linear System
The process of elimination really works! Use elimination when substitution isn't doing the job. The 29th segment in a series of 33 introduces the elimination method to solving linear systems. Pupils work several exercises to grasp the...
Charleston School District
Review Unit 6: Systems of Equations
It's time to show off what they learned! The final lesson in the series is a review worksheet on the topics learned throughout the unit. Scholars solve systems of equations using graphic and algebraic methods, solve system-based word...
Charleston School District
Pre-Test Unit 6: Systems
As if solving equations with an x isn't tricky enough, now they add a y, too? A pre-assessment gauges the knowledge of your classes related to systems. They are asked to solve graphically and algebraically and to solve word...
Curated OER
Graphing Linear Functions
Students practice solving systems of linear equations using the substitution and elimination methods. They determine if the system has one, infinite or no solution. Students also graph the linear equations.
Curated OER
Evaluating Expressions
In this evaluating expressions worksheet, 9th graders solve 10 different problems that include evaluating various forms of expressions. First, they evaluate the equations for the given values of x in each of the 4 boxes. Then, students...
Curated OER
Substitution Process in Problem Solving
Students apply the substitution process to solve equations with more than one variable. They explore how to use the process and when it should be used.
Curated OER
Twenty-Four Linear Systems Solved Using Substitution and Elimination
In this solving linear systems worksheet, students solve twenty-four systems using the substitution and elimination methods. Definitions and examples are provided.
5280 Math
Go with the Flow
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...
EngageNY
Linear Equations in x
What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...
Curated OER
Systems of Equations
In this systems of equations worksheet, students solve ten sets of problems by using the substitution method. They first decide which variable they are going to solve for, x or y. Then, students replace that value with the other equation...
Curated OER
Systems of Equations (Systems Project Part 1)
In this systems of equations worksheet, students identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for each...
Curated OER
The Meaning of Algebraic Expressions
Students define equations and expressions. In this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...
Curated OER
Algebraic Equations
In this algebraic equations worksheet, students solve and check ten algebraic equations. In the first 3 problems, they find the solution of the equation by using the substitution method. And in the last 7, students solve for each...
Curated OER
Math Sheet #5
In this math worksheet, students solve systems of equations using the elimination or substitution method. There are five problems on this one-page worksheet.
Curated OER
Solving Quadratic Equations
In this quadratic equations worksheet, 9th graders solve 10 different problems that include various quadratic equations. First, they factor out the equation and set it to zero. Then, students solve each factor and check their work by...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
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
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...