I really need to update those photos...
What you need is a barrier that doesn't allow sound through but could also improve your room acoustics. You will need 2 things; rigid fiberglass and thin plywood.
The plywood can be cut at the lumber yard to fit in your car. *or taxi* You'll get 4 2x4 sheets from 1 4x8 at $10. You'll then need 4 panels of rigid fiberglass. This can be hard to find. I think they come in packs of 6 around $30. You'll then need some fabric to cover the panels and a staple gun to staple the fabric to the plywood. You could probably also use a glue gun.... I'm not sure. Do whatever you want on the fabric, just make sure it's somewhat breathable. A lot of people like burlap but I can't hear any difference between that and more attractive fabrics.
But, for well under $100 you could make 4 nice panels that would provide a 2" soft wall with a 1/4" plywood sound barrier on the back.
Good luck,
Carl