Names for equations that do and don't explicitly include units in them?

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I realize the question is vague; my question is actually how to clarify it. Is there any terminology distinguishing the two types or styles of equations in these examples?

Ex. 1. The following equation gives the distance $x$ in meters using the time $t$ in seconds: $x = 3t$. Find $x$ after 5 seconds goes by.

Ex. 2. The following equation gives the distance $x$ using the time $t$: $x = (3m/s)t$. Find $x$ after 5 seconds goes by.

I teach high school physics and would like to convince students to use the 2nd style, which seems more easily generalizable, but they learn the 1st style in their math classes.