The length of nursing home admission agreements often goes into double-digits, and responsible family members are often desperate to sign anything to get mom or dad onto a waiting list. This can result in a legal nightmare when the family is unpleasantly surprised later when they find out what they agreed to. This issue was recently covered in this article by the Columbia Tribune out of Missouri, and it's worth a quick read.
Things to keep an eye out for: liberal guidelines regarding when a resident can be evicted, very restrictive visiting hours for family members, and requiring that a family member accept financial responsibility for the resident. These types of requirements may violate federal law; specifically, the Nursing Home Reform Act of 1987. This law is summarized nicely by AARP here.
So before you sign such an agreement, take a deep breath, set aside some time and go through it carefully. As a conservator for several elderly nursing home residents, I often cross out and initial certain provisions of nursing home admission agreements that I do not agree with and then sign it. If the facility has a problem with your alterations, they will let you know about it and then you will have to hash it out with them. But if they accept the agreement with your changes without objecting to them then they, arguably, are bound to the amended agreement.
And, although this is a self-serving plug, ask an elder law attorney to review the agreement for you if you're not 100% comfortable with it.