# How do you convert the following phrases into math expressions: the quotient of 14 and the difference between a number and -7?

Jul 3, 2017

$\frac{14}{x + 7}$

#### Explanation:

A 'quotient' is the answer to a division operation.

You need to know which two values are being divided, so look for ...
The quotient of ..... AND .....

In this case, $14$ must be divided by another expression which is described as 'the difference between a number and $- 7$'

If we let 'the number' be $x$,
This part is written as $x - \left(- 7\right) \text{ or } \left(x + 7\right)$

So the expression we are looking for is $14 \div \left(x + 7\right)$ which can also be written as:

$\frac{14}{x + 7}$