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 Systems of Three Equations with Elimination
In this systems of equations worksheet, students solve 13 systems of equations. Students use elimination to solve three variable systems of equations.
Curated OER
Integrated Algebra/Math A Regents Questions: Systems of Equations
In this systems of linear equations worksheet, students solve 18 short answer and multiple choice questions. Students write and solve systems of equations given a word problem.
Curated OER
Solving Systems of Two Equations with Cramer's Rule
In this systems of equations worksheet, students use Cramer's Rule to solve a systems of equations worksheet. This two-page worksheet contains 14 problems. Answers are provided on the last page.
Curated OER
Online Math Learning: Solving Word Problems Using Algebra
Learners solve eight short answer algebra word problems. They write and solve systems of equations in two or three variables given a word problem about integers, perimeter, consecutive numbers, etc.
Curated OER
Practice solving systems of equations
Eleventh graders solve systems of equation. In this algebra lesson, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to find the solution...
Curated OER
Magic Squares, Simultaneous Equations, Hill Walking, and Diophantine Equations
In this solving equations worksheet, 9th graders solve and complete 21 various types of problems. First, they use the method shown to find the value of xin each equation. Then, students use an algebraic approach to solve the magic...
EngageNY
Introduction to Simultaneous Equations
Create an understanding of solving problems that require more than one equation. The lesson introduces the concept of systems of linear equations by using a familiar situation of constant rate problems. Pupils compare the graphs of...
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...
Curated OER
Application of Linear Systems
Let the learners take the driving wheel! The class solves systems of linear equations and applies the concepts of systems to solve a real-world situation about parking cars and buses. They then use calculators to create a visual of their...
EngageNY
Geometric Interpretations of the Solutions of a Linear System
An intersection is more than just the point where lines intersect; explain this and the meaning of the intersection to your class. The 26th segment in a 33-part series uses graphing to solve systems of equations. Pupils graph linear...
Curated OER
Lesson 2 Solving y=mx+b systems
Young scholars 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. Young...
CK-12 Foundation
Problem-Solving Models: Subway vs. Taxi
Ride to success in understanding systems of equations. Scholars graph a system of equations on the cost of a subway and a taxi using an interactive. Using this graph allows users to answer some questions about the situation.
West Contra Costa Unified School District
Linear-Quadratic Systems
Why do I have to learn two different ways to solve linear-quadratic systems? Isn't one way enough? Learners first investigate the three possible situations for linear-quadratic systems (two, one, or zero solutions), then solve such...
Curated OER
Which Method Will You Choose? Finding Solutions to Systems of Equations.
Ninth graders investigate systems of linear equations. For this Algebra I lesson, 9th graders determine which method is the best for solving a systems: graphing, substitution, or elimination. Students choose a method and create a...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Illustrative Mathematics
Dimes and Quarters
Here is a coin problem where the algebra learner determines the pair of linear equations needed to solve the system. Whether the equations are taken from a table, or your scholars recognize the format of a coin problem, it is an...
Kenan Fellows
Isotopic Pennies
Many people confuse atomic mass and atomic numbers. The sixth of seven lessons in a unit requires scholars to find the weight of different groups of pennies. Then, they must solve how many of each type of penny exists in a closed system...
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
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
Solving Systems of Equations
In this systems of equations worksheet, students solve 4 different problems related to various systems of equations. First, they write out and solve the system of equations shown using Maple. Then, students write the system in matrix...
Curated OER
Systems of Equations
In this solving systems of equations worksheet, 9th graders solve and complete 12 different problems algebraically. First, they solve each system of equations using substitution. Then, students solve each system of equations using...
Curated OER
Finding X and Y Intercepts
How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...
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...