Solving the Equation Step-by-Step: A Guide for Ontario Mathematics Proficiency

Solving the Equation Step-by-Step: A Guide for Ontario Mathematics Proficiency

Mathematics can be a tricky subject, can’t it? Many students often shake their heads at equations like (4(x + 2) = 28). But fear not! Today, we’re breaking down this equation in a way that's straightforward and easy to understand, especially for those getting ready for the Ontario Mathematics Proficiency Test.

Let’s Get Started!

So, what’s the first step? To tackle (4(x + 2) = 28), you need to isolate the variable (x). Sounds fancy, but it’s simply about moving things around in the equation so you can find out what (x) is.

Step 1: Divide Both Sides by 4
First things first, let’s get rid of that pesky 4 in front of the parentheses. You do this by dividing both sides of the equation by 4:

[ \frac{4(x + 2)}{4} = \frac{28}{4} ]
This simplifies to:
[ x + 2 = 7 ]

Just like that, we’ve taken the first step! Can you feel the math momentum building?

Oh, But We’re Not Done Yet!

Step 2: Eliminate the Plus 2
Now, we need to isolate (x) completely. That means we have to get rid of the (+2) attached to it. To do this, we subtract 2 from both sides of the equation:

[ x + 2 - 2 = 7 - 2 ]
This gives us:
[ x = 5 ]

And just like that, we’ve calculated our value for (x)! Isn’t it neat how you can simplify equations with just a few steps?

Final Thoughts: Why It Matters

So what does this all mean? Well, it means you’ve just conquered an algebraic equation! Knowing how to solve equations like (4(x + 2) = 28) is not just about passing the Ontario Mathematics Proficiency Test—it's about building up your confidence in math. Plus, these skills are super useful down the road in higher-level math classes, logical reasoning, or even real-world problems.

What’s Next?

Now you might be thinking, “What if I encounter something even trickier?” Don’t sweat it! Each new type of equation is just another puzzle waiting for you to solve it. Remember, practice makes perfect!

As you prepare for your proficiency test, keep honing those skills and trust the process. Math isn't just about numbers; it's about understanding them too! Happy solving!