EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
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...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Curated OER
Solving Linear Systems by Graphing
In this linear systems learning exercise, 9th graders solve and complete 4 different problems by graphing. First, they graph the first equation shown. Then, students graph the second equation on the same coordinate system as the first....
Curated OER
Solving Linear Systems By Graphing
In this graphing worksheet, students solve 2 linear systems by graphing the equations on the given x/y axis. They record their answers in the graph.
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...
CK-12 Foundation
Linear Equations: Temperature Transitions
Explore linear conversions using an engaging interactive lesson. Learners drag a point on a graph to discover the equivalent degrees in Fahrenheit and Celsius. Embedded questions highlight key features such as slope and the y-intercept.
Curated OER
Solving Linear Systems by Substitution
Practice solving two equations with two unknowns. Here are five problems for using the substitution method. Included are clear, concise step-by-step instructions for the learner to follow. Problems start out easy and gradually get more...
Concord Consortium
A Linear System
Young mathematicians have the hang of graphing with integer coefficients now. Can they generalize what they've learned to equations with variable coefficients? The task asks individuals to verify the solution to the system is (x,y) and...
Curated OER
Linear Equations
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
Curated OER
Linear Systems
Students solve and graph linear equations. For this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
Curated OER
Graphing Linear Equations on the TI
Students graph linear equations on the TI calculator. In this algebra lesson, students rewrite equations in the slope intercept form and use the calculator to graph their problem. They work together to interpret the graphs off of the TI.
Curated OER
Linear and Exponential Functions
This comprehensive unit on linear and exponential functions provides numerous clearly-written worksheets. Topics include graphing linear equations, solving systems of equations algebraically and by graphing, identifying the domain and...
Curated OER
Graphing Linear Equations
In this graphing learning exercise, students solve systems of linear equations by graphing on a coordinate plane. Given specific coordinates, students determine the line of intersection. This one-page learning exercise contains ten...
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...
Curated OER
Systems of Equations
Texas Instruments and Glencoe/McGraw-Hill have put together a full lesson to help you instruct your math class. Using the textbook, a TI-83 calculator, and attached the PDF learners will solve systems of equations and state decimal...
Curated OER
Linear Programming
Students explore inequalities to determine the optimal solution to maximize a profit for a company. In this linear programming lesson, students discover how to graph inequalities and how to determine the algebraic representation of a...
CK-12 Foundation
Linear Programming: Bakers' Dilemma
Place the pies in a line. Pupils create a graph of a system of linear inequalities to represent the number of pies a bakery can make. Learners analyze the vertices on the graph to determine the number of pies they can bake without...
Curated OER
Systems of Linear Equations
Young scholars use the calculator to represent a situation as a table, graph, and equation. They write systems of equations and find solutions to systems of equations. In addition, they explain and justify how they determined...
Curated OER
Linear Systems and Quadratics
In this algebra worksheet, students solve quadratic equations and linear equations. They graph their points and identify where the 2 intersect. There are 10 questions with an answer key.
Curated OER
Systems of linear equations
In this Algebra I/Algebra II worksheet, students use systems of linear equations in two variables to solve verbal problems. The four page worksheet contains a combination of ten multiple choice and free response questions. Answers are...
Curated OER
Linear Equations
In this algebra worksheet, students solve linear equations and graph their answer. They add and subtract integers and compare them using a number line. There are 15 questions with an answer key.
Kuta Software
Equations in Standard Form - Solving Systems by Graphing
Get to graphing and figure out the solution between two lines using this 14-problem worksheet. Graphs are provided for the first eight problems, but requires learners to graph the remaining six separately.
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...