I am having difficulty with 2 step equations reading the
wording and then translating it to numbers. question:
The difference of 8 and the quotient of a number and 6 is 9.
this is what I tried x divided by 8 +6=9 and my answer was
x=24 am I correct 

No, I'm afraid not.  Learn these: 

The SUM of A and B is A+B
The DIFFERENCE of A and B is A-B
The PRODUCT of A and B is A×B
The QUOTIENT of A and B is A/B

Your problem was:

·   The difference of 8 and the quotient of a number and 6 is 9.

Look at the words I have colored red just below:

·   The difference of 8 and the quotient of a number and 6 is 9.

Replace a number by N (" x " or any other letter would do 
just as well).  We now have:

·   The difference of 8 and the quotient of N and 6 is 9.

Look at the part I have colored red below:

·   The difference of 8 and the quotient of N and 6 is 9.

Replace that red part by N/6

·   The difference of 8 and N/6 is 9.

Now look at the part I have colored red below:

·   The difference of 8 and N/6 is 9.

Replace that red part by 8 - N/6.

·   8 - N/6 is 9.

Finally replace the word "is" by an equal sign " = "

·   8 - N/6 = 9

Can you solve that? If not, post again.

   Answer: N = -6

Edwin
AnlytcPhil@aol.com