Depending on elections made by the LLC and the number of members, the IRS will treat an LLC as either a corporation, partnership, or as part of the LLC’s owner’s tax return (a “disregarded entity”). Specifically, a domestic LLC with at least two members is classified as a partnership for federal income tax purposes unless it files Form 8832 and affirmatively elects to be treated as a corporation. For income tax purposes, an LLC with only one member is treated as an entity disregarded as separate from its owner, unless it files Form 8832 and elects to be treated as a corporation. However, for purposes of employment tax and certain excise taxes, an LLC with only one member is still considered a separate entity.
The governing document of the LLC is called an operating agreement, and it is within this document that the members lay out all important provisions, such as standards for LLC governance, ownership parameters, and rules around member changes (adding or removing members, or what happens in case of death or incapacity of a member). The operating agreement is an internal document and is an agreement amongst the members or owners, which means it is not recorded with the state.
Where the equipment you use in your business was acquired as a gift, you may report your estimate of its current market value on the Business Property Statement (that is, what you think it would sell for in the open market place). Enter that estimated value in the most current year's cost line and add a note indicating that the entry is an estimate.