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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...
EngageNY
The Graph of a Linear Equation in Two Variables
Add more points on the graph ... and it still remains a line! The 13th installment in a series of 33 leads the class to the understanding that the graph of linear equation is a line. Pupils find several solutions to a two-variable linear...
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
EngageNY
The Graph of a Linear Equation in Two Variables Is a Line
Show your class that linear equations produce graphs of lines. The 20th segment in a unit of 33 provides proof that the graph of a two-variable linear equation is a line. Scholars graph linear equations using two points, either from...
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...
Lorain County Community College
Solving Linear Equations in One Variable
Multiple-step problems don't have to equal tough problems. This worksheet provides a list of steps needed to go through multi-step equations that include combining like terms and distributing. With ten problems total, your learners will...
EngageNY
Some Facts About Graphs of Linear Equations in Two Variables
Develop another way to find the equation of a line. The instructional activity introduces the procedure to find the equation of a line given two points on the line. Pupils determine the two points from the graph of the line.
Lorain County Community College
Solving Equations Using the Division Property
Go from easy to challenging with a worksheet full of different problems designed for solving equations. Your mathematicians will be able to start small with one- and two-step equations and work their way up to multi-step equations. The...
Curated OER
Section 2.1 & 2.2 Solving Equations
This two page worksheet contains 32 problems to solve. There are examples given for each set of problems. The first set is to work on adding or subtracting a term to get the variable by itself. The second set is about dividing both sides...
Ed Migliore
Linear Equations in Two Variables
This traditional textbook style unit includes vocabulary, a direct explanation section, examples, practice problems that directly line up with the explanations and examples, and a unit summary review and practice problems. Learners get...
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...
Curated OER
Two-Step Equations with Decimals
In this two-step equation worksheet, students use two-steps to solve for the unknown. Problems involving using addition, subtraction addition, and multiplication. This worksheet contains 18 problems and does contain an answer key.
Curated OER
Linear Functions of Two Variables
In this linear function worksheet, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...
Curated OER
Graphing Inequalities in Two Variables
This study guide is a great resource to help you present the steps to graphing linear inequalities. Show your class two different ways to graph an inequality and work on a real-world example together. The document could also be easily...
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
Linear Inequalities in Two Variables
Use this worksheet as a warm up, a refresher exercise, or a practice after a more detailed lesson on graphing linear inequalities in two variables. Start with boundaries that are horizontal or vertical, then move into graphs with...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
EngageNY
Every Line is a Graph of a Linear Equation
Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the...
Illustrative Mathematics
Solving Two Equations in Two Unknowns
More than just a one-problem resource, learners must explain their answer and incorporate a writing component to mathematical thinking. The resource also includes an explanation of the solution to help with the reasoning.
Curated OER
Inequalities in Two Variables
In this inequality worksheet, students solve inequalities with two-variables. They solve systems of equations. Students graph inequality problems on a coordinate plane. This four-page worksheet contains 36 problems.
Curated OER
Math Regents Exam: Solving for a Variable in Terms of Another Variable
In this literal equations worksheet, students solve 7 equations for a specified variable. Students solve two variable equations for one variable in terms of the other.
Willow Tree
Solving Equations and Inequalities with Absolute Value
The concept of absolute value can be difficult for learners to grasp. Reinforce their understanding of a basic absolute value expression and connect it to solving equations and inequalities. Scholars write two equations/inequalities to...
Curated OER
Chapter 2 Practice test
Overall, this worksheet contains a good selection of problems that reviews different aspects of linear equations. Learners examine and graph linear equations, absolute value equations, and inequalities in two variables. The three page...
Odell Education
Equations
Science equipment can be handy for math class, too. Scholars learn to solve one- and two-step linear equations by using the concept of a balance. They solve real-world problems in a variety of contexts by writing and solving linear...