Mastering the TEAS Mathematics Test with Confidence

When gearing up for the TEAS Mathematics Test, understanding how to tackle equations is absolutely vital. Take, for instance, the equation ( 4(2x - 6) = 10x - 6 )—it’s a perfect example of the kind of algebraic thinking you'll encounter. So, let’s unravel this one step at a time together, shall we?

First up, we need to distribute the 4 on the left side. Think of it as peeling an onion—you’ve got to get to the core. So, when we distribute, we’re multiplying 4 by both terms inside the parentheses. It looks like this:

[ 4 \times 2x - 4 \times 6 = 8x - 24 ]

Doesn’t that already feel more manageable? Now, our equation transforms into:

[ 8x - 24 = 10x - 6 ]

What’s the next play here? We want to isolate ( x ). Imagine we're heading towards a finish line; we have to clear out the distractions along the way. Let’s shift all ( x ) terms to one side and the constants to the other. A simple move is to subtract ( 8x ) from both sides:

[ -24 = 2x - 6 ]

This can feel a bit like putting together a puzzle where every piece needs to fit precisely. Next, let's get rid of that pesky -6 by adding it to both sides:

[ -24 + 6 = 2x ]

After simplification, we find:

[ -18 = 2x ]

Now comes an important moment—dividing both sides by 2 to solve for ( x ):

[ x = \frac{-18}{2} = -9 ]

Voilà! We’ve discovered that ( x = -9 ). This finding aligns perfectly with our answer options and gives you a neat solution for your practice.

Understanding these steps not only helps you gain the right answer, but they empower you with the skills needed for the TEAS. You know what? Math can sometimes feel like an uphill battle, but with regular practice and a bit of patience, you can conquer it!

Now, if you’re interested in broadening your math skills beyond just equations, consider diving into other math topics relevant to the TEAS. Whether it’s ratios, percentages, or even basic geometry, each piece is essential for your academic journey. Keep in mind, practice makes perfect—or at least, it helps alleviate that pre-test anxiety.

As you prepare for the TEAS Mathematics Test, remember the equation is just one piece of the puzzle. Every skill you sharpen today will serve you tomorrow. So keep pushing forward, and before you know it, you’ll be solving equations like a pro! Happy studying!