Handout
Charleston School District

Solving Equations with Infinite or No Solutions

For Students 8th - 9th Standards
Where did all the variables go? Scholars learn how to interpret an equation when they eliminate all variables during the solving process. They interpret the solution as infinite solutions or no solutions. 
Interactive
PHET

Equality Explorer: Two Variables

For Students 6th - 12th Standards
Solving equations in two variables can't be that much harder than solving equations in one variable. Using a balance interactive, scholars solve equations in two variables. They apply inverse operations by adding -x, -y, or -1 as...
Interactive
PHET

Equality Explorer

For Students 6th - 12th Standards
Find the right balance between concrete and abstract thinking. After using interactive balances to explore inverse operations, learners solve multi-step equations with variables on both sides. Of course, they can still use the...
Interactive
GeoGebra

GeoGebra Graphing Calculator

For Students 9th - Higher Ed Standards
So, exactly, what does it look like? The easily usable graphing calculator allows pupils to visualize the graph of equations and inequalities. The interactive supports any algebraic graph needed for high school mathematics and then some.
Worksheet
Curated OER

Math 212: Review of Linear Systems

For Students Higher Ed
For this linear systems review, students find the intersection of two planes, solve linear systems of equations using matrices, determine the solution set for a linear system. This two-page worksheet contains four problems.
Lesson Plan
Curated OER

Exploring Quadratic Equations

For Teachers 11th
Eleventh graders explore quadratic equations.  In this Algebra II instructional activity, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. ...
Lesson Plan
Curated OER

Two-Variable Linear Inequalities

For Teachers 9th - 11th
Here is an engaging lesson plan on solving equations with two variables. Have the class rewrite linear equations in the slope intercept form, y=mx + b. They graph the lines using the slope and y-intercepts.
Lesson Plan
Curated OER

Solving by Substitution or Elimination

For Teachers 8th - 9th
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...
Worksheet
Curated OER

Chapter 4 Test: Functions and Integers

For Students 5th - 8th
In this functions and integers worksheet, learners combine positive and negative integers through addition, subtraction, multiplication and division. They complete function tables and graph the results of linear equations. This six-page...
Lesson Plan
Curated OER

Worksheet 1 - Equation of a Line

For Teachers Higher Ed
In this equation of a line worksheet, students determine the equation of a line, use the distance formula to identify the relationship between two moving objects, and solve inequalities algebraically. This two-page worksheet contains...
Lesson Plan
Curated OER

Exploring Linear Equations

For Teachers 3rd
Third graders use graphing calculators to graph equations. They make visual models of algebraic expressions and they can readily see that an equation represents something.
Worksheet
Curated OER

Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically

For Students 10th - 12th
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
Worksheet
Curated OER

Linear Equations (A)

For Students 5th - 6th
In this math worksheet, students solve 20 equations for the variable given. Example: 5q - 29 = 21 (answer is q=10). All numbers on this page are below 100.
Worksheet
Curated OER

Systems of Linear Equations

For Students 9th - 12th
In this systems of equations worksheet, learners complete 14 multiple choice questions involving systems of equations and finding how many solutions belong to a set of systems.
Worksheet
Curated OER

Using a Graph to Solve a System of Linear Equations

For Students 9th - 11th
In this Algebra I/Algebra II instructional activity, learners use graphing to solve a system of linear equations.  The one page instructional activity contains one multiple choice question.  Answer is included.
Lesson Plan
Curated OER

Linear Equations and Algebraic Symbols

For Teachers 7th - 9th
Students rewrite word problems using the correct symbols. In this algebra lesson, students simplify algebraic expressions and use the correct representation of the unknown. They solve equations using one and two steps operation.
Worksheet
Curated OER

Linear Equations x/a = c (B)

For Students 6th - 8th
In this systems of equations practice worksheet, students use their problem solving skills to solve 24 problems.
Worksheet
Curated OER

System of Linear Equations - Word Problems

For Students 9th - 12th
In this algebra worksheet, high schoolers analyze word problems, define variables, set up a system of linear equations, and solve the system.  There are 7 questions.
Worksheet
Curated OER

Lesson 6-7: Scatter Plots and Equations of Lines

For Students 10th - 12th
In this scatter plot learning exercise, students examine tables and write a linear equation that matches the table.  Students graph linear equations.  They read scatter plots, determine the trend line, and write a linear...
Lesson Plan
Curated OER

Linear and Exponential Models

For Teachers 10th - 12th
Students linearize data to determine if an exponential model is suitable. In this linearizing data to determine if an exponential model is suitable activity, students graph the residuals of sets of data that appear to have an exponential...
Worksheet
Curated OER

Solving Equations (Combine Like Terms)

For Students 8th - 9th
In this combining like terms worksheet, students solve for "x" by combining like terms in each math equation. Each problem contains two positive variable terms. Students add the coefficients to combine them. They subtract the constant...
Lesson Plan
Alabama Learning Exchange

Writing Equations for Parallel Lines

For Teachers 8th - 11th Standards
Acquaint your class with the concept of parallel lines. Learners watch a PowerPoint presentation about how to write equations of parallel lines. Their understanding of linear equations and slope is taken a step further by the...
Worksheet
Curated OER

Graphing Lines

For Students 9th
In this algebra learning exercise, 9th graders are given a linear equation and asked to graph the lines. There are 12 questions with an answer key.
Assessment
Inside Mathematics

Sorting Functions

For Teachers 9th - 12th Standards
Graph A goes with equation C, but table B. The short assessment task requires class members to match graphs with their corresponding tables, equations, and verbalized rules. Pupils then provide explanations on the process they used to...