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Adding forms to a Facebook page is only limited to one with this guide Adding-Form-to-Facebook-Pages. Since this will give you an error message. (Please see image below)
This means that you already have installed the App Tab on your Facebook Page. (This message will not show if you haven't added the App Tab to your page or you have another page that doesn't have an App Tab yet.)
However, there is another way of adding your form to your Facebook Page through this guide, Adding-Form-to-Facebook-Custom-iFrame-App-. This allows you to add multiple Forms with the use of the iFrame Code to your Facebook Page.
Go to you Facebook page and search for "Static HTML: iframe tabs" or visit this link: https://apps.facebook.com/static_html_plus/
Click the button on the image below and follow the rest of the guide.
Once you're done, you will be seeing to Form tabs on your Facebook page.
Click the Welcome App to open the page on the image below.
The image below shows when you click Edit tab. Notice the iFrame code from your Form's Embed Form Wizard.
I hope this helps. Kindly let us know if you have further questions. Thank you.
Here are additional steps on how you can add another Form tab on your Facebook page.
Click one of your tab added through the iFrame. Once it opens, click Edit tab.
Then, the window below will open. Just click Done editing.
Go to your Facebook page and click Apps to view all the apps in your App Tab.