SOLUTION: what is the difference between an algebraic expression and an algebraic equation

Algebra ->  Equations -> SOLUTION: what is the difference between an algebraic expression and an algebraic equation      Log On


   

Question 231678: what is the difference between an algebraic expression and an algebraic equation
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
The short answer: an equal sign.

Expressions:
  • Can only be simplified. For example:
    • Order of operations (aka PEMDAS/GEMDAS
    • Reduce fractions
    • Rationalize denominators
  • Express an idea. Examples:
    • Twice a number: 2x
    • 3 less than the square of a number: x%5E2+-3

Equations:
  • Can be solved.
  • Make a statement. Examples:
    • Twice a number is 26: 2x = 26
    • 3 less than the square of a number is 6: x%5E2+-3+=+6
  • Are formed by two expressions separated by an equals sign.