Solving the Equation 3x - 4 = 11 in Simple Steps

Introduction

Studying for the Ontario Mathematics Proficiency Test can seem daunting, but it doesn’t have to be! Understanding fundamental concepts like solving equations will boost your confidence and pave the way for success. Ready to dig into a simple algebra equation? Let’s explore how to solve the equation 3x - 4 = 11 step by step.

The Big Question: What's the Solution?

First off, you might be wondering: what’s the answer to 3x - 4 = 11? Is it A. x = 4, B. x = 5, C. x = 6, or D. x = 7?

To find out, we need to isolate the variable x. It’s like a treasure hunt where x is buried beneath some numbers, and it’s our job to dig it out. So, how do we do that?

Step 1: Eliminate the -4

Okay, here’s the thing: we want to get x by itself on one side of the equation. Our first move is to get rid of that pesky -4. So, we’ll add 4 to both sides:

3x - 4 + 4 = 11 + 4
3x = 15

See how simple it is? Adding 4 cancels out the -4 on the left side. Now it’s just 3x = 15.

Step 2: Divide by 3

Next, let’s continue our quest to uncover x. We need to divide both sides of the equation by 3. Here’s how it looks:

3x / 3 = 15 / 3
x = 5

And there you have it! We’ve successfully isolated x and found that x = 5.

Why Is This Important?

Understanding this process is key, not just for this specific equation but for a variety of problems you'll encounter as you study. Think about it — the same principles apply when you tackle different forms of linear equations or when you hit more advanced topics later on!

Practice Makes Perfect

So, what’s next? It’s time to practice! The more you work through equations like this, the more confident you’ll feel. Consider trying similar problems on your own—grab a few equations, put your skills to the test, and see how many you can solve.

The Journey Doesn't End Here

Each step you take in solving math problems is like building a sturdy bridge—every piece is essential for getting you across to your goal of proficiency. Plus, math can be surprisingly fun when you start to see patterns and connections. Don’t shy away from reaching out to peers or teachers when the going gets tough, either. Remember, learning is a team effort!

Final Thoughts

In conclusion, solving equations like 3x - 4 = 11 is your gateway to mastering math concepts for the Ontario Mathematics Proficiency Test. By learning to isolate variables, you can tackle similar equations in the future with ease. So, keep practicing, stay curious, and embrace the joy of learning math!

Happy studying, and good luck with your preparations!