A rational expression is just a ratio (fraction) of two polynomials, kinda like a rational number is a ratio of two integers. The word "rational" has "ratio" tucked right in there, so it's easy...

Remember fractions? They're about to rear their ugly heads again in the world of rational expressions. Rational expressions behave just like fractions, except they're more ornery. (It's those extra...

We multiply and divide rational expressions just like fractions. Wait—is this thing on repeat? To multiply rational expressions, first factor all numerators and denominators and cancel any factor...

You thought you were knee-deep in complexity up to now? Brace yourself. Welcome to the wacky world of complex rational expressions. These guys have fractions inside their fractions. They may drive...

It doesn't take a lot of heavy mathematical lifting to work through rational functions. We just plug in numbers. That's it—at this stage of the game, anyway. Once we figure out how to calculate t...

Don't worry if the last time you graphed something was when you were tracking the life and hard times of your ever-shrinking bank account. Graphing rational functions is not rocket science, and it...

But wait, there's more. Solutions. How do we solve these bad boys?A rational equation is an equation with at least one rational expression all up in it. That means fractions. To solve a rational eq...

As the song sort of goes, what goes up goes up, and what goes down goes down.The general form for direct variation looks like this: y = kx This states that y varies directly with x, where k is a co...

If you thought direct variation was a cinch, welcome to inverse variation. When two variables vary inversely, that means what goes up goes down, and what does down goes up. This numerical seesawing...

Now, let's deal with joint variation, where one is never enough. In fact, one seriously depends on two others, making a mathematical trio. Turns out it's not so fancy-shmancy: joint variation is li...

Last, but in no way least, is combined variation. Numbers are mixed, matched, computed, jumbled, and ultimately combined. Combined variation mixes both direct and inverse variation. The general fo...