Heather...
You need to understand the difference between a "notice to vacate" and an actual eviction notice.
You have a month to month tenancy (sometimes known as a "tenancy at will"). This means your lease begins on the first day of each month and ends on the last, only to repeat again the following month UNLESS either of you (the landlord or the tenant) provides written notice that this type of lease will not be renewed. This notice does not need to be provided in person, although many landlords will do the "tack and mail" approach (i.e., send it by mail, leave a notice on the door). There does not need to be a specific reason provided to terminate this notice.
If this has been provided and the tenant does not vacate the unit after the stated time period, the landlord then files for an eviction through the court system. As previously stated, only a court can order an actual eviction.
If the landlord files for this, you will be given notice (and this is typically done in person by a representative of the court, usually someone from law enforcement) in person and you would have time to respond. If you respond, a court hearing will be set up and it will be the judge who will determine whether the landlords request for an eviction will be granted.
It is important to understand that if granted (and really, there is no defense you can provide if the landlord wishes to terminate a month to month tenancy UNLESS, possibly, your five month rent payment is still in effect) this will, eventually, show up on your credit report perhaps making it difficult for you to find future rental property as many landlords will not rent to someone who has an eviction on their record.
Do you have more time than 30 days to move? Yes. However you do need to understand that failing to address this vacate order could, in the end, cause you much grief in terms of finding future places to live.
Gail