You can get by without geometry

I disagree (Well, you can get by without all of it but...). Geometry, in my mind, is more important than Algebra for the reasons quite a few already noted. It teaches you a way to think about problems. Geometry is all about proofs and spatial relationships. Algebra, while quite valuable for thinking, isn't what you're going to be grateful for when solving things like trees, heaps, and efficiency problems.

update: fixed a spacial spelling problem.