Is it true that all graduate schools have discounts for all students in tuition?

No. Not even close.

Graduate school tuition costs more per credit hour than undergrad.

Not necessarily.

Some schools offer tuition reductions in exchange for you serving as a graduate assistant (i.e. doing research, teaching, or working in student affairs such as housing). Others will offer you a tuition waiver for serving as a GA.

The school where I work (and am a graduate student) offers me a flat rate for my tuition ($900), no matter how many classes/credit hours I take in exchange for me working 20 hours/week doing programming for the campus.

Some graduate programs also offer scholarships that cover some and/or all of your tuition. (Much like undergraduate)

Look at the national organization for the field you are wanting to pursue to see if they offer scholarships to graduate students and contact the graduate school of the University you want to attend to see what their GA tuition plan is.

If you choose to not pursue a GA position or apply for scholarships, you are looking upwards of $600+ per credit hour tution (yikes! If you take 9 credit hours, that is at least $5,400 for one semester)

I wish. One of my professors once told me to never attend a grad school that couldn’t pay your way, but that’s not always possible. You can apply for graduate assistantships, which usually require administrative office work, or a teaching assistantship. GAships usually provide a stipend, while TAships provide full tuition remission and a stipend. Be sure to pick something based on your interests and not just so you can get free money, because you will have to work. You may also have to take out loans, which is not uncommon in grad school.

Typically Ph.D. students have some sort of financial assistance, but at the Master’s level you have to compete for scholarships or financial aid.

Nope! Public universities offer for financial assistance than private schools, though.