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...
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
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...
Curated OER
Worksheet 3.5 Simultaneous Equations
In this simultaneous equations activity, students solve and complete 7 various types of problems. First, they solve graphically the system of equations shown. Then, students find the number of solutions that each pairs of equations have....
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...
Curated OER
Ordered Pairs and Linear Systems
In this ordered pair and linear systems worksheet, learners problem solve two equations involving ordered pairs and solving linear systems by graphing.
Curated OER
Simultaneous Equations
In this simultaneous equations worksheet, pupils solve systems of equations. They graph systems of equations and write equations to fit given situations. This two-page worksheet contains three multi-step problems.
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 for...
Illustrative Mathematics
Cell Phone Plans
Turn your classroom into a local cell phone store. Then, have your cell phone agents use linear equations to visually display three cell plans and their advantages. It makes for a great group project. Discuss how to decide which plan is...
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
Solving Systems with Substitutions
How many large and small watermelons did he sell? Just use the given information to write and solve a system of equations! The two videos accompanying the lesson explain the substitution method and then introduce problem solving. The...
Curated OER
Systems of Equations and Inequalities
This is a comprehensive activity on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world...
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
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...
Curated OER
Writing and Graphing Linear Equations on a Flat Surface
In this linear equations worksheet, students write the equation of a line with given characteristics. They identify the slope of a line and the y-intercept. Explanations and examples are provided at the beginning of the worksheet. This...
Curated OER
Solving by Substitution or Elimination
In this algebra worksheet, students solve two systems of linear equations by substitution. They solve 5 systems by using the elimination method. The final 4 problems involve systems of linear equations, but students are given the option...
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
Linear Systems
Students solve and graph linear equations. In this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
Math Worksheets 4 Kids
Point of Intersection Worksheet 2
Math wizards rewrite pairs of linear equations in the y-intercept form and graph them on a coordinate plane. They identify where the lines cross, i.e. the point of intersection. There are four questions with coordinate planes for drawing...
Mathematics Vision Project
Module 2: Systems of Equations and Inequalities
The brother-sister pair Carlos and Clarita need your class's help in developing their new pet sitting business. Through a variety of scenarios and concerns presented to the siblings, the learners thoroughly explore systems of equations...
Charleston School District
Solving Systems Graphically
When guess and check gets old, it's time to start graphing! An instructive lesson explains how to solve a system of linear equations using graphing. Equations are in both slope-intercepts and standard form.
EngageNY
Systems of Equations Leading to Pythagorean Triples
Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils...
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...
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...