How can you solve systems of linear equations? This slideshow introduces learners to the substitution method, the elimination method using addition and subtraction, and the elimination method using multiplication. Guided practice...

Solving systems by substitution can be a challenging topic in algebra I. Here is a lesson plan that builds on students' understanding of intercepts to begin the process of substitution, and all work is reinforced graphically to...

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...

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...

Now that learners figured out how to solve for one variable, why not add another? The lesson demonstrates, through examples, how to solve a linear system using graphing, substitution, and elimination.

Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...

Can you handle one more method? It just might be your favorite! Building on the skills learned in the previous lessons in the series, scholars now learn the elimination method. The video examines problems of varying difficulty. 

Two of the strategies for solving systems of linear equations are represented in this foldable: substitution and elimination. Learners solve three examples of each. 

Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.

Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra. 

In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....

Use several skills to solve word problems leading to systems of equations. Scholars define variables and write equations to model situations described within word problems. Pupils solve the resulting system of linear equations using...

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...

Round and round they go ... where they stop, only scholars will know. By writing systems of equations, classes determine the number of cars a roundabout can handle given specific constraints. Systems use up to six variables and become...

I'd like to prove that this worksheet has a lot to offer. Seven problems using triangles and parallelograms practice the traditional method of a two-column proof. After the worksheet is some practice problems that show worked out...

Substitution is still the method of choice to verify number sentences. The detailed lesson has young mathematicians determining conditions for when number sentences are true or false through substitution. They learn to express these...

Here is a fun project. Sammy observes a chipmunk and a squirrel to see how many holes each needs in order to stash the same number of acorns.  Scholars could find the answer algebraically or create a table to analyze the...

What does it mean to solve an equation? The resource revisits the concept of making a linear equation true. Classmates use algebraic methods to transform sides of equations to expressions with fewer terms. They use substitution to...

The rides at a theme park always have limits on weight or number of riders. This makes a natural example of the use of inequalities to solve real-world problems. Learners explore intuitive solutions using substitution to solve the...

Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.

Discover how algebra tiles help evaluate expressions. Scholars learn to use algebra tiles to substitute values in for variables and evaluate expressions. The included worksheet contains a set of evaluation problems to assess individuals'...

When is the last time you assigned your students only one problem? This seemly simple problem requires learners think like a mathematician and reason about how to solve this compound inequality in one variable. More than just using...