Algebra 1 is fundamental to all the math that comes later (except perhaps Geometry) and to many other subjects, including Chemistry.
If a student has a shaky understanding of the fundamentals of Algebra 1, the student is likely to struggle in many future courses, regardless of whether they’re honors or regular, and may not understand why.
To avoid this type of suffering, it might be a good idea for the student to review Algebra 1 over the summer, with the help of a tutor, who can see what parts of the subject the student might have misunderstood or might be struggling with.