# 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

- Start with an Introduction to Algebra.
- Absolute Value
- Direct Variation
- Distributive Property
- Dividing by Zero
- Exponents and Negative Exponents
- Factoring Numbers and the Greatest Common Factor
- Imaginary Numbers
- Mean, Median, and Mode
- Order of Operations
- Proportions and Ratios
- Rational Numbers
- Scientific Notation

## Simplifying and Solving Equations

- Combining Like Terms to simplify your expressions.
- Multiplying Polynomials
- The Quadratic Formula is one way to solve certain equations.
- Substitution allows you to replace an unknown with a known.
- Systems of Linear Equations - Solve for more than one variable.
- Solving Systems of Inequalities - Like before, but with less-than and greater-thans.
- Systems of Equations With More Than Two Variables - Why not keep going?
- Using FOIL to multiply two expressions.
- Finding Roots
- Completing the Square In Circle Equations - A more advanced subject.

## Functions

- What are Functions?
- Domain and Range describe the input and output.
- Exponential Functions add exponents to the function.

## Graphing Equations and Inequalities

- Linear Equations are straight lines.
- Asymptotes are approached but not reached.
- Finding Asymptotes
- Finding Horizontal Asymptotes
- Compute the Length of a Line Segment
- Express an equation in Point Slope Form.
- Find the distance between two points
- Midpoint Formula

## Rational Functions

- Rational Functions
- Addition and Subtraction of Rational Functions
- Division of Rational Functions
- Multiplication of Rational Functions

## Other Algebra Topics

## Video Lessons

- Pre Algebra
- Algebra I
- Algebra II
- Algebra Word Problems
- Advanced Algebra
- Adding and Subtracting Real Numbers
- Introduction to Equations
- Simplifying Fractions

## Recent Algebra Questions

Number Theory *Wednesday October 20, 2021*

elePHant deciPHerer triumPHalism overemPHasized *Wednesday October 20, 2021*

Numbers *Wednesday October 20, 2021*

Partial Derivatives and continuity/differentialbility *Wednesday October 20, 2021*

Probobility of inheritance while sister is negative. *Wednesday October 20, 2021*

## 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.