# How do you write the algebraic expression given "the quotient of 14 and the difference between a number and -7"?

##### 2 Answers

Aug 2, 2017

See a solution process below:

#### Explanation:

**"the quotient"** means to divide.

**"the quotient of 14"** means **14** is going to be divided by something. So we can write:

The something it will be divided by is **"the difference between a number and -7"**.

Lets call **"a number"**

**"the difference"** means we are going to subtract something from

Putting this together gives:

Or

Aug 2, 2017

#### Explanation:

The "quotient" just means the result of division.

I've interpreted the question with the following qualifications:

- "the quotient of ...
**and**the difference...# means "the quotient of ...**divided by**the difference (as opposed to the quotient when the difference of ... is divided by 14) - "the difference
**between**a number and -7" means the**absolute difference**(it could mean the difference of a number minus -7; or the difference of a number subtracted from -7)

If we represent "a number" by the variable

this gives us the answer shown above.