Mastering the TEAS ATI Mathematics: Simplifying Equations Like a Pro

Have you ever stared at a math problem and thought, "What even is this?" You're not alone! Preparing for the TEAS ATI Mathematics test can feel overwhelming, especially when equations like (2x - 7 = 3) pop up. But don’t sweat it! Let’s break it down together, step by step, making it as easy as pie.

First things first: you're faced with the equation (2x - 7 = 3). The goal here is to isolate that pesky variable (x) and figure out its value. So, how do we get there?

Eliminate the Constant
The constant on the left side of the equation is (-7). To shake it off, we add 7 to both sides. Why do we do that? Because what you do to one side, you must do to the other—it's like a math law or something!

[ 2x - 7 + 7 = 3 + 7 ]

Simplifying that mess leads us to:

[ 2x = 10 ]

Breathe easy; we're halfway there. Doesn't that feel good?

Isolating x
Now that we’ve got (2x = 10), it’s time to solve for (x) itself. How? By dividing both sides by 2. Simple, right?

[ \frac{2x}{2} = \frac{10}{2} ]

And voilà! We find:

[ x = 5 ]

You can double-check your work by plugging (x = 5) back into the original equation. If it holds true, you’ve struck gold! The equation simplifies correctly, confirming your answer is spot on.

So, the correct answer is indeed (x = 5). Isn’t it amazing how straightforward it can be once you peel back the layers of confusion? You'll find that with a systematic approach and some practice, equations like this will soon feel like second nature.

A little tip for your studies: Practice similar problems. Set a timer and see how quickly you can solve simple equations. It’ll boost your confidence and help you soar through the TEAS ATI Mathematics Test. Remember, each problem solved is a step closer to your goals.

In the end, math isn’t just about numbers and letters; it’s like solving a mystery. With each equation, you uncover a little more of the bigger picture. Who knew math could be so engaging? So keep at it, and soon you'll be solving equations as if you were born to do it!