Chrome only installs for all users (i.e. in a system folder, and with Start menu shortcuts for all) if you're running the installer as admin (or Power User or whatever role allows you to install programs). If you run it as a normal user it will install to your own profile, and you cannot e.g. set it as default browser.

Set up a national board that creates and administers the tests. Make it government funded. Make the tests free and allow all 9th graders do the tests. Allow annual retries. Give the information to colleges for free or for a very low fee. "Ooooh no, you suggest communism!" Just tell me why everything in the US has to be profitable and run by corporations instead of by the states or the nation? Higher costs is the outcome you get - even if the corp says it's nonprofit.