Explain the timing of a lake cleanup to the EPA using calculus. A project-based learning opportunity has learners compare rate functions to compute a total change. Their solutions explain the time needed to rid a lake of pollutants.

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...

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...

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...

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...

How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...

In this activity, students learn to solve a system of equations using the substitution method.

Using the Substitution Method, a system of equations is solved. The process is shown in detail and can be used as a reference for solving other systems

Students can use the substitution method of solving systems of linear equations.

The lesson explores solving systems of equations algebraically. Topics discussed are the elimination method, substitution method, addition property, and special cases. Examples with detailed solutions and an assessment are included.

Here is a site that clearly and thoroughly explains how to solve systems of linear equations using the methods of combination, substitution, and Cramer's Rule. There are example problems solved, problems for the student to attempt, and...

This site provides a detailed overview of the various methods of integration. This first page covers the "gist" of the methods available, followed by much more detail on subsequent pages.

Having trouble integrating those tough functions? Try using Trigonometric Substitution. This lesson demonstrates the process and allows for you to practice using the examples provided.

Both the substitution and elimination methods are presented through detailed examples. Learn step by step how to find solutions to any linear system of two variables.

Use this site to see how graphing and substitution are used to solve systems of equations. The examples have systems that have one, infinite, or no solutions. The site is set up to see the solutions step by step.

This article discusses the types of bias which can occur when using the Consumer Price Inex. It examines how much product quality change is actually represented by the consumer price index, and discusses methods used to overcome some of...

Nonlinear systems are solved using the algebraic methods of substitution and addition/subtraction. Learn how these methods work through detailed examples.

This site gives a definition for what a trigonometric equation is, gives a listing of the simplest trigonometric equations, and lists seven main methods of solution of trigonometric equations with examples.

Discusses how to solve systems of equations in two variables by reviewing ans showing examples of the four methods of solving linear equations: substitution, elimination, matrices, and graphing.

Students learn to solve a system of linear equations (2 equations with 2 variables) by substitution and elimination methods. They also review the definitions of consistent (independent and dependent) and inconsistent systems, and...

This interactive linear system solver allows you to enter two linear equations in general form and then plot the lines and find the answer using either substitution or elimination. The answer is presented with both methods accompanied by...