Solubility and Solubility Product (5A) Practice Test

To minimize free fluoride in a mouth-rinse, a chemist considers adding CaCl$_2$ to a solution in equilibrium with $\text{CaF}_2(s)$: $\text{CaF}2(s) \rightleftharpoons \text{Ca}^{2+} + 2\text{F}^-$. At 25°C, $K{sp}=3.9\times10^{-11}$. Which shift in equilibrium is most consistent with adding the common ion $\text{Ca}^{2+}$?

In a controlled precipitation experiment at 25°C, a team maintains a suspension of $\text{CaCO}_3(s)$: $\text{CaCO}_3(s) \rightleftharpoons \text{Ca}^{2+} + \text{CO}3^{2-}$ with $K{sp}=3.3\times10^{-9}$. They bubble CO$_2$ and observe that free $\text{CO}3^{2-}$ decreases (assume only this change is relevant). With $\text{Ca}^{2+}$ initially unchanged, which statement best predicts the equilibrium response based on $Q$ vs $K{sp}$?