Free Algebra Help

Taking Algebra I or Algebra II? Then you found the right place to get help. We have more than forty free algebra lessons listed below by general subject area. Look over the list and see if we have the topic you're looking for. If not, try the site search at the top of every page.

General Algebra Lessons

Simplifying and Solving Equations

Functions

Graphing Equations and Inequalities

Rational Functions

Other Algebra Topics

Recent Algebra Questions

Algebra Formulas

Here are some of the most commonly used formulas in algebra.

Laws of Exponents

  • \(a^ma^n=a^{m+n}\)
  • \((a*b)^m=a^mb^m\)
  • \((a^m)^n=a^{mn}\)
  • \(a^{\frac{m}{n}}=\sqrt[n]{a^m}\)
  • \(a^0=1\)
  • \(\frac{a^m}{a^n}=a^{m-n}\)
  • \(a^{-m}=\frac{1}{a^m}\)

Quadratic Formula

For an equation of the form \(ax^2+bx+c=0\), you can solve for x using the Quadratic Formula:

$$ x = \frac{-b \pm \sqrt{b^2-4ac}}{2a} $$

Binomial Theorem

  • \((a+b)^1= a + b\)
  • \((a+b)^2=a^2+2ab+b^2\)
  • \((a+b)^3=a^3+3a^2b+3ab^2+b^3\)
  • \((a+b)^4=a^4+4a^3b+6a^2b^2+4ab^3+b^4\)

Difference of Squares

  • \(a^2-b^2=(a-b)(a+b)\)

Rules of Zero

  • \(\frac{0}{x} = 0\text{, where }x \neq 0.\)
  • \(a^0=1\)
  • \(0^a=0\)
  • \(a*0 = 0\)
  • \(\frac{a}{0}\text{ is undefined (you can't do it)}\)

Algebra Examples:

I've always found that working example problems is the best way to understand a new subject. If you've had trouble grasping a new algebra concept, the best solution might be to work your way through a series of example problems. I've tried to compile some links for example problems you can solve.

Intermediate Algebra Example Problems -- some extra selections sorted by subject matter to illustrate each concept in more detail.

Analyze Math Algebra 1 Tutorial -- A standard tutorial that focuses heavily on worked-out examples, including these problems.

Further Help

If you still have algebra questions, you might want to check out these other websites for more help: Algebra.Help, Purple Math, Math Goodies, and the Virtual Math Lab.

if you have a specific problem or two that you need answered, you might want to ask our algebra message board. Real, live math tutoring may be what you are really looking for though. In that case, your best bet is probably to talk to your teacher at school. He or she will be able to help you find someone locally who can tutor you in algebra. Alternatively you can find algebra tutoring online. Of course, never meet someone (even a math tutor) in-person without being safe and speaking with your parents first. Good luck!

Interactive Algebra Solver

Featured Lesson

Remind yourself how to find the domain and range of a function.

Popular Questions: