what  is  standard  form?

the denominators of rational numbers which are positive integers and 1 is the only common factor between the numerators and denominators. further, the negative sign occurs only in the numerator.
such rational numbers are said to be in standard form

A general term meaning "written down in the way most commonly accepted"

It depends on the subject:

• For numbers: in Britain it means "Scientific Notation", in other countries it means "Expanded Form" (such as 125 = 100+20+5)
• For a line it means the form: Ax + By = C
• For equations it means the form: (some expression) = 0
• For a quadratic equation it means the form: ax² + bx + c
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