Crack the Code: Solving the TEAS ATI Mathematics Equation with Ease

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Struggling with the TEAS ATI Mathematics test? Let’s break down the equation 3(x - 4) = 9 to reveal the winning strategy for solutions. Discover essential tips that simplify math concepts and boost your confidence.

So, you’re eyeing the Test of Essential Academic Skills (TEAS) and thinking, “Math? Yikes, that’s daunting!” Well, hang tight, because we’re going to unravel an equation that’s more companionable than a pet cat. Picture this: the equation 3(x - 4) = 9 is just sitting there, waiting for you to make sense of it. Let’s peel back the layers, bit by bit, and get to the sweet spot of the solution.

First Things First: Distributing the Numbers
When we come across 3(x - 4), our job starts by distributing that pesky 3. You might think, “What’s the big deal about distributing?" Well, let’s just say it’s like sharing a pizza with friends; everyone deserves a slice! So, distributing gives us 3x - 12. Now, the equation transforms into:
3x - 12 = 9

Add, Don't Subtract! (Well, Kinda)
The next step is all about isolation—think of it like wanting to find treasure in a map full of distractions. We need to isolate x, so we add 12 to both sides of the equation. Here’s how it goes down:
3x - 12 + 12 = 9 + 12
Now, give the equation a gentle nudge, and it simplifies to
3x = 21
“Okay, that doesn’t seem too bad,” you might be thinking.

Divide and Conquer
Now, to finish our thrilling math adventure, we divide both sides by 3. This part is actually quite satisfying—like cutting through butter! It looks like this:
3x / 3 = 21 / 3
And—drumroll, please!—we find that
x = 7
Voilà! We’ve cracked it! The solution is x = 7. This is where the magic happens. It’s vital to understand that while math might throw other numbers at you, those just don’t fit the equation like a glove.

Why Other Options Don’t Work
You might wonder, “What about the other options (x = 5, 4, and 3)?” Well, just like trying to use a square peg in a round hole, those numbers don’t satisfy our original equation when substituted back in. So, rest easy; x = 7 truly is the lone wolf in this mathematical forest.

Review and Reflect: Your Road to Mastering TEAS Math
The journey through the world of equations can feel like traversing a winding river, but this problem illustrates how you can ground yourself by following steps systematically. So, when you encounter future problems, take a deep breath, focus on one step at a time, and remember this moment of clarity. With practice—and who says it’s not fun when you get the hang of it?—you'll find yourself charting a course toward math proficiency like a true explorer.

Take heart; math can be your friend. Know what? Embracing these strategies and concepts will definitely prep you for whatever TEAS Math throws your way. So, roll up your sleeves and get ready to tackle that test with confidence!

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