Question

How do you write the algebraic expression given “the quotient of $14$ and the difference between a number and $-7$”?

Answer 1

Hint: In the question they have asked to evaluate the expression for the given condition. For this we will assume a variable and apply all the conditions which are mentioned in the problem and bring them together to get the required result.

Complete step-by-step solution:
Given that “the quotient of $14$ and the difference between a number and $-7$”.
In the above statement we have two conditions, the first one is the quotient and the second one is the difference. We will first consider the quotient condition and next we will consider the difference condition, then we will bring together.
“The quotient of $14$” means $14$ is going to be divided by something. So, we can write the given condition mathematically
$14\underset{\scriptscriptstyle\centerdot}{\dot{-}}$something.
The something it will be divided by is “the difference between a number and $-7$”.
Let a number is $n$.
“the difference” means we are going to subtract something from $n$ and what we are going to subtract is $-7$, we can write it mathematically
$n-\left( -7 \right)$.
When we multiply a negative sign with the negative sign then we will get a positive sign. Then
$n+7$.
Now putting the both the conditions together then we will get
$\dfrac{14}{n+7}$.
Hence the above condition is the required condition.

Note: The problem comes with a difficult language, so we need to clearly understand the terminology of the given statement and further proceed to the solving part. For this type of problems, we also need to know about the basic terminology of the math and the symbols. Like adding or summation means putting a plus symbol$\left( + \right)$ between the given variables.