Solving Nonlinear Systems of Equations

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...

Keep your mathematicians engaged using this group linear functions activity. Each of ten groups receives two graphs with both an image and equation, as well as a "who has" phrase to call out the next graph. Scholars stay on their toes as...

One thing that puzzles a lot of young algebrists is the factors in a word problem that are taken as "understood". This presentation on solving systems of linear inequalities does a great job walking the learner through how to tease those...

Inverse operations are the key! A video instructor demonstrates solving multi-step equations involving the distributive property and variables on both sides. The lesson includes step-by-step instructions for three different equations.

Is it possible to tell if a table of values represents a linear function or a nonlinear function? One way is to graph the ordered pairs to see if it makes a straight line. But, take a look at the rate of change in the table. If the rate...

Students solve multi-step equations and apply the process of elimination. In this algebra lesson, students solve linear inequalities and equations using linear combination and evaluation. They graph their results on a number line...

Now that budding mathematicians have figured out linear systems, its time to try nonlinear! A video tutorial outlines the steps of solving a linear-quadratic system of equations. The instructor demonstrates each step of the process using...

The instructor demonstrates how to combine like terms as the first step in solving multi-step equations. She applies the rules of combining positive and negative numbers. Then she shows clear steps in solving the equation to find the...

Twenty-four problems present a variety of practice solving multi-step equations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button...

There's just something special about lines in algebra. Introduce your classes to linear equations by analyzing the linear relationship. Young mathematicians use input/output pairs to determine the slope and the slope-intercept formula to...