Question

How do you translate the word phrase into a variable expression: 10 plus the quotient of a number and 15?

Answer 1

`10+x/15`

Explanation:

We set up this problem by taking the words and translating them into a math problem.

The "`10` plus" is pretty simple to translate into symbols; it just becomes `10 + ...`. The next part of the sentence is more confusing, but if we break it down it should be do-able.

So first, what is a quotient? That seems like an important thing to understand. It turns out that a quotient is the solution to a division problem, like this: `x/z=q`, where `q` is the quotient.

So now we understand what a quotient is. We still need to figure out what "a number `(x)` and `15`" means. A quotient refers to a division problem, so the `x` and the `15` are part of a division problem. The way we would set up a division problem that reads as "`(x)` and `15`" is to write it as `x/15`.

So if we put it together, we have `10 + x/15`