EngageNY
Relationships Between Quantities and Reasoning with Equations and Their Graphs
Graphing all kinds of situations in one and two variables is the focus of this detailed unit of daily lessons, teaching notes, and assessments. Learners start with piece-wise functions and work their way through setting up and solving...
Curated OER
Systems - Money Problems
In this systems of equations worksheet, students solve 9 word problems about money. Students determine the number of nickels and dimes, quarters and half-dollars, and profit from ticket sales by writing a system of equations and solving.
Yummy Math
Going to the Game (systems)
Seven real-life math problems require the solving of simultaneous pairs of linear equations. Although a similar approach is taken for most of the problems, the topic of sports stadium concessions should keep the interest level high. As a...
West Contra Costa Unified School District
Graphing Systems
Get hands on with solving systems of equations graphically. A solid lesson plan uses guided practice to show how to solve systems of linear equations. It allows time for sharing ideas and provides a printable matching activity to promote...
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
Illustrative Mathematics
Two Lines
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...
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...
Curated OER
Algebra 1, Unit 7, Lesson 8: Practice Finding the Equation of a Line
Students solve systems of linear equations by graphing. The introduction of the lesson asks students to work in pairs or small groups to graph a line when given two points. Students graph 14 equations on the same coordinate grid to...
Curated OER
Systems of Equations
In this algebra worksheet, students factor systems of equations using elimination and substitution. THey graph their lines and find the point of intersection. There are 15 questions.
Curated OER
Systems of Equations (A)
In this systems of equations practice worksheet, learners use their problem solving skills to solve 24 problems.
Curated OER
Systems of Equations (B)
In this systems of equations practice worksheet, students use their problem solving skills to solve 24 problems.
Curated OER
System of Equations
In this system of equations worksheet, students solve and complete 36 various types of problems. First, they solve each system of equations by elimination. Then, students check their solutions by substitution into one of the original...
Curated OER
GSE Foundations of Algebra: Equations and Inequalities
Need lessons on writing and solving one- and two-step linear equations and inequalities, as well as systems of equations? This comprehensive 106-page module from the Georgia Department of Education contains many different lessons for a...
Curated OER
FCAT Real World Solving Linear Equations/Systems
Pupils relate real life situation to the equations, graphs and inequalities. They model real life scenarios using matrices and draw conclusions from their data. This lesson plan is aligned with FCAT.
Curated OER
Systems of Two Equations
For this systems of equations worksheet, learners solve and complete 23 various types of problems. First, they solve each system of equations by graphing on the grids provided. Then, students solve each system by substitution and by...
Mathematics Assessment Project
Buying Chips and Candy
As a middle school assessment task, learners first two write equations representing their purchase of chips and candy bars. They then solve the system of equations to find the price of each item.
Curated OER
Solving System of Linear Equations
Students solve systems of equations. In this algebra lesson, students identify the number of solutions to a system of equation. They solve using linear combination and graphing.
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra instructional activity, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Alabama Learning Exchange
Systems on a Mission
Solve systems of equation problems using four different methods: elimination by addition or subtraction, graphing, elimination by multiplication, and substitution. Middle schoolers are then given a series of "missions" to complete.
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 problem in...
Curated OER
Dental Impressions
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....
Achieve
Ground Beef
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 leanness,...
PHET
Equality Explorer: Two Variables
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
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...
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