Doug,
   Your examples show compound adjectives that modify "bike". Most of them should be hyphenated. The exception is "multi-gear". "Multi" is a prefix rather than a word by itself so "multigear" does not require a hyphen.    You didn't ask, but as far as spelling out the number of gears as opposed to using Arabic numerals, I would probably use the words rather than numerals, depending on context. If you are writing something like a catalog for a bicycle shop or the assembly directions for a new bicycle, I would probably follow existing conventions (such as the previous version of the catalog). If different manufacturers use different conventions, I'd probably use each manufacturer's names. If company A sells a 12-gear bike and company B sells a twelve-gear bike, a purchaser may have trouble finding information on each unless a store's catalog identifies each product the way its manufacturer does.
    --Lynne

On 8/20/2020 11:39 AM, Doug wrote:
I've seen these used both ways, so I'd like some fresh input:  which of the
following are correct, and why?

single gear bike
four gear bike
ten gear bike
12-gear bike
20-gear bike
multi-gear bike
fixed gear bike


--
Lynne A. Price
Text Structure Consulting, Inc.
Specializing in structured FrameMaker consulting, application development, and 
training
[email protected]            http://www.txstruct.com
voice/fax: (510) 583-1505      cell phone: (510) 421-2284

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