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An equation is a statement that two (preferably different) expressions are EQUAL to each other (hence EQUAtion)

An expression is series of numbers, variables, and operations which makes mathematical sense. (when I say "makes mathematical sense" I simply mean that "5x + -/* -2" would not count as an expression since you have a subtraction sign divided by a multiplication sign) Since an equals sign is not a number, variable, NOR an operation, you canNOT have an equals sign in a single expression (that would turn it into an equation).

For example...

Equation: 3x + 2 = 9/x - 7

Expression: 3x + 2

or

Expression: 9/x - 7

Note how the equation serves to join two different expressions together. An expression alone cannot provide any useful information (in general). Rather, an equation is needed in order to draw useful mathematical conclusions.

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Q: What is the difference between a algebraic equation and a algebraic expression and a formula?
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Related questions

What is the difference between a algebraic equation and a algebraic expression?

An equation has an equal = sign whereas an expression does not.


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Equation: x+3=3+x (notice the equal sign: equal; equation)Expression: x+3 (notice no equal sign)


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