Go here and see my post which lists colleges that actually have a rule requiring that you provide all scores: http://talk.collegeconfidential.com/sat-act-tests-test-preparation/1828724-can-you-pick-which-sat-scores-you-want-to-send-to-college-p1.html. Yale, Cornell and Penn are the only ivies with an all scores rule. Brown and non-ivy Northeastern allow to send whatever SAT tests you want to send. As to impact on the decision to admit, all of those “all scores” colleges claim that they do not use the lower scores against you either because they superscore SAT tests or because they claim the reason they want all tests is to see how many you took to get the scores you have, a factor they can consider in determining admission. Also note that all the ivies and Northeastern superscore SATs.