Ten increased by the quotient of a number and 2 is -15.

Question

How does this translate to an algebraic equation?

Answer 1

First identify a variable for the number, Let n= number

Next, you realize that the problem says quotient, the quotient is the answer of a division problem. Therefore we know, we must be doing division.

Next we see that 10 is being increased by, we should think to ourselves what operation is that? Increased by is addition.

Therefore:

1. We know 10 increased by must be : 10+
2. Next we are given by a quotient of a number and 2. We already assigned the number as the variable n, the next thing we know is quotient is linking us to division as we said earlier. This whole thing will be n divided by 2.

So we would have n\2

Let's rewrite our problem:

We have 10+

Let's add on

10+n\2

1. Lastly we are told that it is -15. The term is, is another way to say =.

So now we have =-15

If we rewrite our problem it is 10+n\2=-15

Therefore, our answer is 10+n\2= -15