Variables can vary in meaning. A reference material for AP® Statistics explains the difference between random and algebraic variables. It provides a hypothetical situation involving dice—great for use in a classroom situation.

Solutions for linear equations create solution sets. Pupils watch a video on solving multi-step linear equations. They then solve equations with variables on both sides of the equal sign, combining like terms and the distributive...

Can you justify that mathematically?  Help learners see the process of solving as using mathematical properties rather than a set of steps to memorize in the fourth module of a nine-part Algebra I series. The module contains six...

Use the principle of zero product to solve these polynomial equations. There are 21 problems in various forms to solve. Some are already set to equal zero, but might needs to be put in descending order. Then there are sunsequent problems...

Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...

Introduce the inverse matrix method to solve systems of linear equations both algebraically and graphically. Using given data, your class checks their answers with graphing calculators. Handouts are included in this well-thought out lesson.

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...

For this rational equation worksheet, students solve 20 equations with a variable in the denominator of one more terms. They also read real-life application problems, write a rational equation to fit the problem and solve the equation....

For this algebraic equations worksheet, 7th graders write an algebraic equation with one variable for each problem. Students then solve the problem.

In this algebra worksheet, students solve word problems by rewriting it as an equations and solving for the unknown. There are 4 questions with an answer key.

In this Algebra I worksheet, 9th graders solve all types of one variable linear equations.  The one page worksheet contains a combination of ten multiple choice and free response problems.  Answers are provided. 

Middle schoolers engage in a study of equations and how they are solved using algebraic methods. This overrides the fact of guessing as done in earlier grades. They cover the concept of inverse operations as the main way to manipulate...

Your class is asked to use inverse operations to solve eleven equations for unknown variables or to rearrange formulas to highlight a quantity of interest. By using the same reasoning as solving one- and two-step equations, algebra...

Bring balance to your lesson plans with an activity that asks individuals to solve one-step linear equations with inverse operations. Balance scales help learners understand the concept of isolating the variable.

Sometimes young algebra learners don't understand why they need to create an equation when they can just figure out the answer with it. This activity tries to encourage creating simple equations by balancing the use of more complicated...

Although graphing a linear inequality on the plane is but a few steps added onto the graphing of a linear equation, for many learners the logical leap is quite intimidating. This approachable PowerPoint presentation breaks graphing...

Reviewing the process of solving equations is as easy as one click of a button. Scholars solve linear and quadratic equations by using a helpful interactive. The computer app automatically scores responses, providing immediate feedback...

Middle and high schoolers use a spreadsheet to graph data. In this graphing lesson, learners determine how two parameters are correlated. They create a scatter plot graph using a computer spreadsheet.

Skills drills help math learners become adept at solving equations. This worksheet provides 15 simple linear equations with one variable each. Learners simply solve them. It should not take long, therefore you may want to keep this on...

Where did all these variables come from, anyway? The previous lessons in the series ask learners to solve multi-step equations using the distributive property, combining like terms, and using inverse operations. Now scholars solve...

What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods. 

Show your class that not all equations are linear. The lesson asks learners to solve simple quadratic and cubic equations using square and cube roots. Problems include equations with no solutions. 

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...

Use of the resource = Opportunities for increased learning. Learners must use equations and inequalities to solve real-world and geometric problems.