Answer
Soluble
Work Step by Step
A water soluble substance will break into cations and anions when placed in water. Thus, in order to make a guess whether or not it is soluble, see if you can find an anion and a cation in this substance. At this point in the course, if you can find a cation and an anion, then it will most likely be soluble. We see that there is $Sr^{2+}$ and $Cl^-$, so it is soluble.