How do you write the algebraic expression given "the quotient of 14 and the difference between a number and -7"?
See a solution process below:
"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:
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.