Mastering Math with the Accuplacer Challenge

If x=3, y=-4, and z=2, what is the value of 50 - x - (3x + 2)?

• A. 3
• B. 7
• C. 12
• D. 15

Answer: (C)

To find the value of the expression 50 - x - (3x + 2) with the given values of x, y, and z, we will first substitute the value of x into the expression. Starting with the expression: 1. Substitute x = 3 into the expression: 50 - x - (3x + 2) becomes 50 - 3 - (3(3) + 2). 2. Calculate the inside of the parentheses: 3(3) = 9, so 3x + 2 becomes 9 + 2 = 11. 3. Now the expression looks like: 50 - 3 - 11. 4. Perform the subtraction in steps: First, subtract 3 from 50: 50 - 3 = 47. Then subtract 11 from 47: 47 - 11 = 36. However, there seems to be a focus here on arriving at the final answer, which indicates that an accurate computation reaffirms that option C, which states 12, does not align with the calculation performed using the provided values. Instead, the accurate final result of the entire expression calculation is 36

Learning to master math problems for the Accuplacer is not just about readiness – it’s about building confidence! You might wonder, why does mastering this exam's math section matter so much? Well, it can set the stage for your future academics. Let’s chat about a specific problem to clear up any confusion.

Picture this: you encounter an equation like 50 - x - (3x + 2) and you’re told x = 3. What do you do? You look at it like a puzzle waiting to be solved. First, we plug in the value of x to see what unfolds.

1. Substituting Values: So, if we take our equation and substitute x with 3, it reshapes into 50 - 3 - (3(3) + 2). Puzzle pieces are starting to come together, aren’t they?

2. Calculating Parentheses: Now, we need to figure out what’s hidden inside the parentheses. When you multiply 3 by 3, you arrive at 9. Therefore, when we add that 2, we get 11. Voila—it’s like revealing a hidden chamber in your puzzle!

3. Simplifying the Equation: With the calculations now clearer, our equation transforms to 50 - 3 - 11. Now the fun really begins.

4. Performing the Math: Let’s take it step by step. First, subtract 3 from 50. What do we get? 47. Now, let’s tackle that pesky 11—subtract it too. So, 47 - 11 equals… 36! Wait, what? Did we just land on 36 instead of 12, which one might initially expect? Yep!

It’s interesting how the wrong focus can mislead someone into thinking the answer is 12. The truth is, math can sometimes surprise you, doesn’t it? So, in the grand scheme of things, it’s crucial to not rush through calculations but to savor each step.

Learning how to simplify complex equations through practice is vital. It's all about the journey of understanding and honing your skills! By keeping calm and taking it a step at a time, you’ll find that even challenging math concepts can become your allies instead of foes.

So, as you prepare for the Accuplacer, remember the value of thoroughness in your calculations. Each problem is not just a hurdle; it's an opportunity to sharpen your skills and build up your confidence for whatever academic journeys await you. Before you know it, equations like these will feel like a breeze!