Simplifying Expressions for the TEAS ATI Mathematics Test

Master essential math skills for the TEAS ATI with this engaging guide on simplifying expressions. Understand PEMDAS, tackle challenging problems, and boost your confidence before the big test.

Simplifying mathematical expressions can feel like solving a mystery, right? Especially when you're gearing up for the Test of Essential Academic Skills (TEAS) ATI Mathematics Practice Test. It's crucial to understand not just the numbers, but the order in which you tackle them. Let’s break this down step by step, focusing on a specific example to clarify the process of simplification.

What's the Big Deal about PEMDAS?

The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) is your trusty compass when navigating math problems. Remember, it's not just a dry rule; it’s your guide to finding the right answer. Without it, your calculations might go haywire! Let’s jump into our example:
7 + 16 - (5 + 6 x 3) - 10 x 2.

Step 1: Peeking Inside the Parentheses
We start with the section inside the parentheses, which is 5 + 6 x 3. According to PEMDAS, multiplication takes precedence over addition. So, we compute 6 x 3 first.

  • 6 x 3 = 18.
    Now, substitute that back into the expression:
  • 5 + 18 = 23.
    Our expression is now: 7 + 16 - 23 - 10 x 2.

Step 2: Tackling Multiplication Next
Next, we tackle another multiplying villain lurking in our expression—-10 x 2. This one's straightforward:

  • 10 x 2 = 20.
    Plugging this back into the mix, our expression simplifies to:
  • 7 + 16 - 23 - 20.

Step 3: Finally, We Add and Subtract
Now, we perform the addition and subtraction from left to right. So, let's start:

  • 7 + 16 = 23.
    Now, we have:
  • 23 - 23 - 20.
    From here, 23 - 23 equals 0. And finally:
  • 0 - 20 = -20.

Congratulations! We’ve simplified the original expression and found that the answer is B. -20.
Rethinking Problems: The Power of Practice
But here’s the thing: understanding isn’t just about memorization—it's practice that solidifies your skills. You might stumble on your first few tries (and that’s cool!), but over time you’ll notice patterns, improve your speed, and even develop an intuitive grasp of math concepts.

Ask yourself, could there be other expressions that trip you up? Absolutely! That’s where diverse practice comes in. Whether it’s tackling fractions, decimals, or word problems, it all builds a robust foundation for your mathematical skills.

Wrap-Up: Counting Down to Success
So, as you prepare for the TEAS ATI exam, keep PEMDAS close at hand and never shy away from practicing. Each problem solved is a win on your journey towards mastering math. Remember, with every equation simplified, you’re not just gaining answers—you’re boosting that confidence and sharpening your problem-solving tools. Keep your head in the game, and you’ve got this!

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