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Purplemath's lessons cost nothing! These lessons are free, are intended for students (rather than for instructors), and are interlinked to help you find related material. There is a "Search" box on every page to help you find whatever math content you're looking for — without encountering ads masquerading as search results. Whether you're in middle school, high school, college, or university, these free algebra lessons can help you out!

How can I use Purplemath's lessons?

Purplemath's math lessons can be used in many ways:

• Read the lesson that relates to what you're about to study in class, so you get to class at least somewhat prepared.
• Print out the lesson that relates to what you're about to study in class, and use the margins, white space, or the backs of pages for taking notes in class.
• When the homework seems impossible and the textbook and your class notes aren't helping much, come to Purplemath for clarification.

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How should I be formatting my homework?

Neat homework can aid your comprehension and might make your teacher like you better. Purplemath's " Homework Guidelines for Mathematics " will give you a leg up, explaining in clear terms what your math teacher is looking for. The Guidelines link to examples of common errors, and demonstrate techniques that your instructors will love! In addition, students who get in the habit of explaining themselves clearly in their homework gain greater understanding of what they're doing, and therefore tend to do much better on their tests.

English teachers tell their students explicitly how to format their papers: what fonts, what page margins, what style guides, etc. Math teachers, on the other hand, frequently just complain amongst themselves in the faculty lounge about how messy their students' work is. Meanwhile, their students wonder why they've lost points on homework and tests.

Study these Guidelines , print out this " formatting " PDF, and improve your learning, retention, and test scores. Don't leave easy points on the table!

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How can I measure my study skills?

Many students, from time to time, wonder, "Do I have what it takes to succeed in math?" Much of one's success or failure in algebra can be laid at the feet of one's study habits. Do you have good math study habits? Take this survey and find out.

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Personalized Help ($): Investigate hiring a qualified tutor in your local area (US only), or try e-mail tutoring from Purplemath's author. But for in-depth, quality, video-supported, at-home help, including self-testing and immediate feedback, try MathHelp.com . MathHelp.com comes highly recommended by homeschoolers, military service members, and other practical people. If you're needing more intensive help, give MathHelp.com a try!

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QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students.

• The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and cancelling common factors within a fraction.
• The equations section lets you solve an equation or system of equations. You can usually find the exact answer or, if necessary, a numerical answer to almost any accuracy you require.
• The inequalities section lets you solve an inequality or a system of inequalities for a single variable. You can also plot inequalities in two variables.
• The calculus section will carry out differentiation as well as definite and indefinite integration.
• The matrices section contains commands for the arithmetic manipulation of matrices.
• The graphs section contains commands for plotting equations and inequalities.
• The numbers section has a percentages command for explaining the most common types of percentage problems and a section for dealing with scientific notation.

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