How can I make my wall look like weathered wood?
You've got a good start to a solid approach to creating something effective and inexpensive; what you need now is a decent and cheap way to finish the job. I would recommend the following:


Get some cheap poster board/tagboard from a department or crafting store. This will create the foundation for your wall.
(Optional) Also pick up some matte brush-on Mod Podge or similar sealer and a cheapish hardware-department grade brush to seal down the edges and add some more realistic texture to your "wood." (If your ink/toner is not water-resistant or waterproof, pick up a spray sealer to fix it in place before using the liquid sealer as well.)
Get some appropriate adhesives; Scotch, Duck, or Frog-branded painter's tape (blue or yellow in color, not the off-white/tan kind), preferably in a "delicate surface" or "low adhesion" variety, or 3M Command poster strips. These materials are designed to release cleanly from painted surfaces without damage when used properly; avoid off-brand or store-brand colored painter's tapes, as they frequently use a glue more similar to the cheap off-white masking tape that can and does damage painted surfaces.
Stick your printed pages to the poster board with whatever method you prefer; spray glue or glue stick applied sparingly will give you good results on the display surface. If desired, seal the surface using your sealers; feel free to leave brush strokes behind, as they'll add a touch of dimensionality to your faux wood as well as sealing the edges in place. You can either go all the way to the edge of the boards, or add an overlap that will be covered when you mount them.
Use the painter's tape (rolled and stuck behind the poster board, or along corners/edges covered by overlap if you chose this method), or the Command strips (follow package instructions) to mount your poster board pieces to your wall.


All these elements are inexpensive, particularly compared to options like fully painting and repainting or using wallpaper, and should give you an end product that both looks decent and is easily removed when you move out or want a change of pace.