SOLUTION: What do two equivalent expressions always have in common? The same value The same variables The same constants Or both have an equal sign I�m really not sure which it is,

Question 1112831: What do two equivalent expressions always have in common?
The same value
The same variables
The same constants
Or both have an equal sign
I�m really not sure which it is, but I think it�s the same value
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Yes.

Consider the other answers:

and

have the same variables. Equivalent only if

, in which case the two expressions would have the same value.

and

. Equivalent ONLY if

, in which case the two expressions would have the same value.

The "value" of an expression containing an equals sign is either "true" or "false". The fact that two expressions each have an equals sign in them does not guarantee equivalence since one of the statements might be true and the other false. For example, consider:

If either of these statements is true, then the other one is not. Actually, they could both be false which is a very loose form of equivalence, but certainly not equivalent in the context that I think you are working in.

John

My calculator said it, I believe it, that settles it

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