For whatever reason, lower level math courses are named differently in college than in high school.
High school College
Algebra 1 Elementary Algebra
Geometry Plane Geometry
Algebra 2 Intermediate Algebra
Precalculus College Algebra + Trigonometry (often separate courses)
or Precalculus
A student who has completed precalculus in high school should not need to take college algebra, unless the student did not remember the content or the high school precalculus course was of poor quality (either could result in doing poorly on a college’s math placement test).
For a student who needs to take college algebra, taking this course without trigonometry may prepare the student for calculus for business majors (which covers less material at lower difficulty than regular calculus).