Final answer:
Expressions in algebra are combinations of symbols and numbers without equality signs, such as 7x+4 or 8y-3, while equations like 6x+6=12 include equality and equate two expressions. Simplifying an expression involves eliminating terms and checking the reasonableness of the result.
Step-by-step explanation:
In mathematics, particularly in algebra, an expression is a combination of symbols and numbers that can be evaluated based on mathematical operations but does not include an equality or inequality sign. Examples of expressions include terms like 7x+4, 8y-3, and -7-0. On the other hand, an equation such as 6x+6=12 includes an equality sign and represents a statement that two expressions are equal. When simplifying or solving these, it is important to eliminate terms wherever possible to simplify the algebra and then check the answer to ensure it is reasonable.
For instance, to solve for a variable, you might have to rearrange terms, combine like terms, or use other algebraic steps in an orderly fashion, and always verify the results in the context of the problem.