How to Solve for m in Basic Algebra: A Simple Step-by-Step Guide

Solve for m in the equation 2m + 6 = 18.

• A. 4
• B. 5
• C. 6
• D. 7

Answer: (C)

To solve the equation \(2m + 6 = 18\), the first step is to isolate the term containing \(m\). This can be done by subtracting 6 from both sides of the equation. Here’s how that looks: \[ 2m + 6 - 6 = 18 - 6 \] This simplifies to: \[ 2m = 12 \] Next, to solve for \(m\), you divide both sides of the equation by 2: \[ \frac{2m}{2} = \frac{12}{2} \] This gives: \[ m = 6 \] Thus, the correct answer is 6. This value for \(m\) satisfies the original equation when you substitute it back in, demonstrating that the solution is valid. If you were to check the value of \(m\) in the context of the equation: \[ 2(6) + 6 = 18 \] This simplifies to: \[ 12 + 6 = 18 \] Confirming that the equation holds true. Therefore, 6 is indeed the correct solution to the equation \(2m + 6 = 18\

Grasping the Core of Algebra

Math, especially algebra, can sometimes seem like decoding a secret language. But trust me, it's not nearly as scary as it sounds! If you’ve ever tackled equations like 2m + 6 = 18, you know that solving for m might seem daunting initially, but with a little guidance, you'll discover it's like riding a bike—just needs some practice!

Breaking It Down: Our Equation

Let’s take a closer look at the problem: 2m + 6 = 18. The goal here is to find out what m equals. Imagine this is a treasure hunt; we’re trying to find where m is hiding!

Step 1: Isolate the Term

First off, we want to reduce the equation to make it easier to solve. To do this, we need to get rid of that pesky +6 on the left side. So what do we do? We subtract 6 from both sides, just like balancing a scale!

Here’s how it goes:

[

2m + 6 - 6 = 18 - 6 ]

This beautifully simplifies to:

[

2m = 12 ]

Pretty straightforward, right?

Step 2: Divide to Solve

Now that we have 2m = 12, it's time to dig deeper and actually find out what m is. To uncover that value, we need to divide both sides by 2. Think of it this way: it's like sharing a pizza with two friends; you need to split everything evenly! Here’s the math:

[

\frac{2m}{2} = \frac{12}{2} ]

And voilà, this reveals that:

[

m = 6 ]

Final Check: Is It Right?

To ensure correctness, let’s plug m back into the original equation:

2(6) + 6. When we substitute, we check if it holds true:

[

12 + 6 = 18 ]

This simplifies beautifully, confirming that m = 6 is indeed the right answer. It’s like putting together a puzzle pieces and realizing the picture is complete!

Why Does Algebra Matter?

You might be thinking, "Great, but why do I need to learn this?" Well, algebra is everywhere! From budgeting your monthly expenses to understanding scientific formulas—it’s a lifeskill that equips you for real-world applications. Plus, it’s a fantastic way to train your brain to think logically and critically.

Engage with Your Learning

If you’re gearing up to take the GED or simply want to brush up on your math skills, practicing problems like this one is essential. It's all about becoming comfortable with the process. You’ll be surprised at how just a little practice can improve your confidence in algebra.

So, let’s not shy away from math. Embrace it! With every equation you master, you’re one step closer to making that diploma your reality—one solution at a time.