How do you translate "the quotient of of a number and 6" into a mathematical expression?
We can form a quotient of 'x' and 6 in two ways:
The first expression may be implied in the order of the question, but it is not actually specified in the term 'quotient'.
It is important to note that ALL "mathematical equations" START as some word expression. After all, we are just using the math as a tool to solve real-world problems which we express in normal conversation.
The terms and sentence structure set up the equation, just as the parts of a sentence describe a thought.
"Quotient" is the term for a division. In this case, "a number and 6" does not specify which is the dividend (numerator) and which is the divisor (denominator).
"A number" means that we are looking for a general expression instead of a specific numeric solution - any number will do. So, we use the convention of a 'variable' we will designate as 'x'.
Now we can form a quotient of 'x' and 6 in two ways: