Use this tutorial to learn what imaginary and complex numbers are, how to write them, and how to perform operations with them. Offers step-by-step examples, video explanations of the examples, and practice questions with answers.

Learn to simplify complex fractions via this tutorial that features various methods for simplifying, example problems with step-by-step solutions, and practice problems, complete with answers and discussions.

A detailed tutorial on functions covering the following topics: finding the domain and range of a function, using the vertical line test, determining whether a function is even, odd, or neither, and applying the greatest integer function to a given number. Includes many sample functions, problems with step-by-step solutions, and practice questions with answers and discussions.

This tutorial explains exponential functions and provides links pertaining to topics on them. You will learn to use the exponent keys on your calculator, to graph exponential functions, and to solve compound interest problems.

The sample problems and solutions in this tutorial will show you what an inverse function is: how to find one, how to graph a function and its inverse, and how to determine whether a function has an inverse.

Through this tutorial, which offers step-by-step examples, video explanations, and practice questions, you'll learn what linear equations are and how to solve and classify them.

This clear tutorial provides the definition of a logarithmic function as well as instruction on how to perform important tasks with them. Find step-by-step solutions to example problems and practice exercises for you to complete and check.

Use this site to learn the process needed to multiply and divide rational expressions. When finished, try the practice problems.

Given a line, learn how to find the equations for lines that are perpendicular and parallel to it. This tutorial offers several example graphs and problems as well as practice problems for you to work through when you're ready.

A complete tutorial on solving radical equations and equations that have rational exponents. Examples are worked through step-by-step.

In this tutorial, you will learn what a rational exponent is and how to complete many tasks involving them. Follow step-by-step instructions and examples, view video explanations, and hone your skills with several practice problems.

This tutorial will show you how to use the rational zero theorem, to find all zeros of a polynomial function, and how to use Descartes' rule of signs. Offers step-by-step solutions to example problems as well as practice problems for you to complete and check.

An introductory tutorial on sequences, complete with important definitions, example problems and step-by-step solutions, and several practice exercises for you to complete and check. Provides good explanations and examples of arithmetic, geometric, and Fibonacci sequences.

Walk through this tutorial to see exactly how rational expressions are simplified. When you're finished, try the practice problems to see how much you've learned.

This tutorial will show you how to solve a system of linear equations in three variables by using the elimination method. Complete with definitions, example problems with step-by-step solutions, and practice exercises for you to complete and check.

This tutorial will guide you through several tasks associated with systems of linear equations in two variables. Complete with definitions, problems with step-by-step solutions, and example exercises for you to complete and check.

Using this tutorial, you'll learn how to evaluate a factorial, find a binomial coefficient, and use the binomial theorem through several example problems and practice exercises.

The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.

Demonstrates how an expression can be simplified by combining like terms. [3:43]

Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.

Have you ever wondered why it takes such a long period of time for NASA to build space exploration equipment? What is involved in manufacturing and building a rover for the Red Planet? During this lesson, students will discover the journey that a Mars rover embarks upon after being designed by engineers and before being prepared for launch. Students will investigate the fabrication techniques, tolerance concepts, assembly and field-testing associated with a Mars exploratory rover.