As far as I know, faster RAM is fine because it will simply run at the speed of the computer it's installed in. Correct?

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Technically. But its not always the case.

Are they two-chip sticks? The Plus can not use those. Also, I am pretty sure they Plus can have RAM installed in pairs, you should not need to put all four in. Someone correct me if I am wrong. And don't forget about the resistor/jumper thingy.