📚 Part 1: Understanding Variables

Remember: A variable is a letter that represents an unknown value. Variables like x, y, and z can stand for any number!

1. Which of these expressions shows the same value as "x + y"?

y + x

x - y

xy

x ÷ y

2. If a + b = 10, then b + a equals:

5

10

20

Cannot be determined

3. Which expressions are equal to each other? (Check all that apply)

m + n and n + m

p - q and q - p

r + s + t and t + r + s

a × b and b × a

✏️ Part 2: Solving Variable Equations

Example: If x + y = y + z, then x = z (because we can subtract y from both sides)

4. If a + b = b + c, then a = _______

5. Complete this equation: If m + n = p, then n + m = _______

6. Solve for x: If x + y = z + y, then x = _______

7. Show your work to solve this equation:

If a + b + c = c + d + a, find what b equals.

🎯 Part 3: Apply Your Knowledge

8. Sarah has x apples and Tom has y apples. Together they have the same number of apples as when Tom has x apples and Sarah has y apples. Write this as an equation:

9. Explain in your own words why x + y = y + x is always true, no matter what numbers x and y represent:

10. Create your own equation using variables a, b, and c where you can solve for one variable:

Variables and Algebraic Equations

Variables and Algebraic Equations

📚 Part 1: Understanding Variables

✏️ Part 2: Solving Variable Equations

🎯 Part 3: Apply Your Knowledge

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