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EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The instructional activity introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the...
Curated OER
Accurately Weighing Pennies II
Drawing from a scenario of the history of the penny, learners write and solve a system of linear equations from a context.
Curated OER
Pairs of Whole Numbers
Mathematical reasoning and linear systems are two of the strategies used to solve this number puzzle. Your learners will enjoy the challenge and the variety of ways to approach this challenge.
PBL Pathways
Gas Prices
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...
Curated OER
Solving multi-step inequalities and solving systems by elimination
Students solve multi-step equations and apply the process of elimination. In this algebra lesson, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on a number line...
CK-12 Foundation
Applications of Linear Systems: Alcohol Solution in Nursing
Solve alcohol systems to find the right solution. The interactive allows pupils to manipulate the amount of a solution and displays the total amount in a mixture. Individuals determine the amount of each solution needed to make 15 liters...
Curated OER
Systems of Equations: Substitution Method
In this systems of equations worksheet, students solve 6 systems using the substitution method. Students then set up and solve 2 systems of equations word problems, one being a mixture problem.
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...
West Contra Costa Unified School District
Solving a System by Substitution
Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to build...
Curated OER
Lesson 2 Solving y=mx+b systems
Learners solve linear systems using slope intercept form. In this algebra lesson, students solve equations by rewriting them in the form y = mx + b. They evaluate coordinate pairs to see if they are a solution to the problem. Learners...
Curated OER
Solving Problems Using Systems of Equations Section 8.3
In this system of equations worksheet, students solve problems involving systems of equations. They read short stories, write equations relating to the information, and solve the systems of equations using the substitution or elimination...
Curated OER
Solving Nonlinear Systems of Equations
In this systems of equations worksheet, students solve nonlinear systems of equations. This two-page worksheet contains 20 problems.
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.
CPM
Using Equal Values Method or Substitution
Math whizzes solve and complete 20 different problems. Problems are solved using the substitute, or the equal values method. Learners also create their own systems of equations based on word problems.
Curated OER
Graphing Systems at the Races
Learners investigate systems of equations as they use the Ti-Navigator to explore scenarios about dog races and NASCAR races. Pupils determine the winner of the race and when opponents pass each other given a speed and distance.
Curated OER
Practice with Systems of Equations
Students solve systems of inequalities. In this algebra lesson, students solve a system of equation, using substitution, linear combinations and graphing. They identify the number of solution each system produce as infinitely many,...
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.
Charleston School District
Solving Systems with Elimination
Can you handle one more method? It just might be your favorite! Building on the skills learned in the previous lessons in the series, scholars now learn the elimination method. The video examines problems of varying difficulty.
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,...
Curated OER
Systems of Linear Inequalities
Graphing systems of linear inequalities is the focus of this worksheet. Problems range from checking solutions of inequalities, graphing systems of two inequalities, and graphing systems of three inequalities. Graphing horizontal lines,...
Noyce Foundation
Miles of Tiles
Create number sentences and equations to solve geometric problems. Each activity in the series of five asks young mathematicians to consider different-sized tiles to build structures according to specific criteria. The first activities,...
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
Shelley, Veronica, Christy, and Ruth: Systems of Equations
In this system of equations worksheet, students solve 1 system of equations. Students determine how $106 is divided among four girls given various clues.
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...