convert tthe following written expressions to algerbraic expressions

Question

six less than double the quantity of a number x increases by four divided by 2

 

Answer 1

So we have six less than, so we know that there's a -6.

We're doubling the number, so we have a *2

there's a quantity that we're doing things with, so we have parentheses.

Inside of the parentheses, we have x increasing by 4, so that's x + 4.

 

The rub is that "divided by 2" part. It feels like a dangling participle as it doesn't seem clear that it's dividing 4 by 2, x+4 by 2, or the entirety by 2. The only thing that makes a modicum of sense, though, is the latter, so we'll run with that.

 

If that's true, then that leaves us with ^{2(x + 4) - 6} / ₂

That you're saying that it's a slope issue in your description makes me wonder if there's another way to write it, though:

^{2x + 4} / ₂ - 6

Those two solutions are the ones that make the most amount of sense. I just wish the phrasing was a bit clearer so that we could tell witch one.