Simplifying means:
➡️ rewriting an expression in a cleaner, shorter, easier-to-read form
without changing its value.
You are not finding one number as the final answer (unless the expression has no variables).
Common simplifying actions:
✅ Combine like terms
✅ Use the distributive property
✅ Reduce fractions
✅ Remove parentheses
✅ Put in standard form
🔥 Example of simplifying
Expression:
4x + 2x – 3
Combine like terms:
6x – 3
✅ Simplified form:
6x – 3
Another example (with distributing)
3(x + 4)
Distribute the 3:
3x + 12
✅ Simplified form:
3x + 12
✅ What Does It Mean to Evaluate an Expression?
Evaluating means:
➡️ plugging in a number for the variable(s) and getting a final number answer
So you replace the variable with the given value, then do the math.
🔥 Example of evaluating
Expression:
2x + 5
Evaluate when x = 3:
Substitute:
2(3) + 5
Solve:
6 + 5 = 11
✅ Final answer: 11
⭐ Simplifying vs Evaluating (Easy Comparison)
Simplifying
-
You keep the variables
-
You make it shorter/cleaner
-
Example:
7x + 2x = 9x
Evaluating
-
You plug in numbers
-
You get one final number
-
Example:
9x when x=2=18