So many possibilities!!!
While you said there are a bajillion, we have no clue what that really is?
Likewise, while there are six different patterns, again, no clue as to whether they all coordinate? all the same colour family? or are horrid together? or WHY?
Also, whether the 5"x7" are perfect cuts, or need to re-cut to get exact measurements?
My first thoughts are sort into coordinating groups. Then count what you have.
Some simple math will give you an idea as to what you might be able to do.
Two basic patterns come to mind. Again, depending on what you really have.
One would be to just sew them together in a layout that works.
Another would be to make a Disappearing 4-Patch quilt.
Disappearing Four Patch | Quilting Daily
While it usually starts with squares it works perfectly fine using rectangles.
But as already said, without having any clue as to what you really have ...
... maybe neither make any sense?