It will get you more comfortable with visualizing things.
Obviously simply one game won't help much, but a series of games that help you visualize things in many different ways, will help you to visualize things mentally much better over time.
Chess for example.
I did a study and found that students who played chess in the top 30 rankings in the local area around me(actually, just my school. Sorry.) and I found every single one of them was doing at a 93% or betting inside of Algebra 1, Algebra 2, and Pre-Algebra. My hypthesis(unproven, again, sorry) is that being able to visualize several moves ahead in chess helps you to be able to visualize several moves ahead inside of algebra. For me, I play chess and I noticed an increase in how well I did when I started playing heavily.
Basically, Algebra seems to be breaking down equations into a process. Chess helps you to visualize those processes, and allows you to sometimes see the answer before actually writing it out, as long as there is no complicated math involved.
For example, (4x + 2) (4x +2).
To solve that, no complicated math is needed. And in my head, each step briefly plays before changing to the next step, eventually becoming the final answer. And I've found I can usually rely on the final answer.
It becomes 16x^2 + 16x + 4.
Now maybe I'm just seeing random patterns here, but I think some games do help.