Not much work has been done today; however, the groundwork for the algebra scene was initiated.
I had to go back and fix a couple spots in my code for the progress/leveling bar so that they are appropriate for their respective scenes.
[SerializeField] string scene;
if (scene.Equals("arithmetic")) playerLevel = (PlayerPrefs.GetInt("ArithmeticLvl"));
else if (scene.Equals("algebra")) playerLevel = (PlayerPrefs.GetInt("AlgebraLvl"));

I also started working on problem generation. I did not do anything intensive so far I just wanted to set everything up so when I come back I can start to power through the coding.
// x+a=b => x=b-a
if(UnityEngine.Random.Range(0,101) > 50)
{
int1 = UnityEngine.Random.Range(min, max+1);
int2 = UnityEngine.Random.Range(min, max+1);
ans = int2-int1;
prompt.text = $"x+{int1}={int2}";
Debug.Log("Problem ID: 1");
}
Final Notes
Coding did not take too much of my time and most of it was touching up my old code to now work more dynamically or abstractly, basically future-proofing it for when I add in more levels. I hope to get the next 2-3 tiers finished. I think there is a lot of problem variation I just wish I could make a LaTex for my game to have even more problems at my disposal.