I'm not sure of your general question. For the two questions posted, however,
1. NaOH(moist aq) + CO2 ==> Na2CO3 is a synthesis reaction.
2. RbMnO4 + AgI ==> is a redox reaction. I would expect the MnO4^- to oxidize I^- to I2 and MnO4^- to be reduced. In the dry state, however, I don't think any reaction will take place; i.e., the redox reaction will only occur in aq solution.