📚 What are Variables?
A variable is like a container that can hold different values. Think of it as a box 📦 where you can put different things inside. In math, we use letters like $x$, $y$, or $z$ to represent these variables. The value of a variable can change depending on the problem you're solving.
🧪Example: In the equation $x + 2 = 5$, $x$ is the variable. We need to figure out what number $x$ represents to make the equation true.
➕ What are Constants?
A constant is a value that doesn't change. It's fixed and stays the same no matter what. Think of it like the number of days in a week: it's always 7! 🗓️ In math, numbers like 2, 5, or even $\pi$ (pi, which is approximately 3.14) are constants because they always have the same value.
💡Example: In the equation $x + 2 = 5$, 2 and 5 are constants. They don't change, no matter what $x$ is.
📝 Variables vs. Constants: The Key Differences
| Feature |
Variable |
Constant |
| Definition |
Represents a value that can change. |
Represents a fixed value that does not change. |
| Representation |
Usually represented by letters (e.g., $x$, $y$, $z$). |
Represented by numbers (e.g., 2, 5, $\pi$). |
| Value |
Can have different values depending on the equation or problem. |
Always has the same value. |
| Example |
In $x + 3 = 7$, $x$ is a variable. |
In $x + 3 = 7$, 3 and 7 are constants. |
🔑 Key Takeaways
🔍 Variables can change their value; constants cannot.
🔢 Variables are usually letters; constants are usually numbers.
🧠 Identifying variables and constants is crucial for solving algebraic equations.
💡 Understanding the difference helps in simplifying and solving math problems.