Linear Equations and Functions Exercises

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Linear Equations and Functions Exercises

Functions and Their Graphs

Function, function, what's your function? Are you a personal trainer, a famous spy, a doorstop, or something else entirely? We think it's the last one.A function takes some input, usually called x,...

Slope of a Line

What does the word "slope" make you think of? We start thinking about skiing down the Appalachians in a snazzy snowsuit and mirrored goggles. We're carving up the mountain, riding a wave of soft po...

Slope-Intercept Form

Now that we’ve totally sold you on these two hassle-free ways of graphing lines, let us teach you how each method works. We promise, these are not rip-offs like some infomercials. Why did we e...

Standard Form

Don't walk away just yet; we still need to introduce you to the second half of the deal: equations of lines in standard form. Remember? We promised a two-for-the-price-of-one special.Sample Prob...

Writing Equations of Lines

We've been called to the scene of a crime. The cops are looking for the equations of their top suspects, but there is limited evidence at the scene. Luckily, Shmoop has some tricks for tracking dow...

Linear Inequalities with Two Variables

We’re kickin’ it up a notch now. We are entering the realm of linear inequalities with not one, but two variables. Oh snap. And you thought inequalities couldn’t get any more exciting.Thin...

Piecewise Functions

Wouldn't the name piecewise function be so much more happiness-inducing if the name was peacewise function? We definitely think so. A term comprised of the words "peace" and "wise"? How much bette...

Absolute Value Functions

The only absolute thing in this world is absolute value. Naturally, if absolute values are absolute, then so are absolute value functions.Know what else is absolute? Geese. Or at least the forma...