Yes. In the U.S. we use "resumé" (with or without the accent) rather than "CV" (except, for some reason, in the field of medicine, I believe).I suppose that goes for letter of motivation as well. Otherwise, you'd have mentioned it (?)
Applications vary, but generally that's a thought that the prospective employer wants answered, perhaps only in an interview. It's just the term that sounds funny.Interesting. But then, is it the same statement used for all applications?
Simply put, a French (only French?) "letter of motivation" explains (with a varying dose of hypocrisy) why you think you're made for this specific job and why you think this job is made for you.