When you place into a course that is part of a sequence, you do not need to take any course lower in that sequence, whether such a course is a pre- or corequisite to any course in the same or any other subject, or a prerequisite or requirement for any program.
Here’s one of many possible examples: At some colleges, MATH 115 is listed as a prerequisite for courses like CHEM 065, ECON 001, and MATH 125 and possibly as a major requirement for some certificates. All students who complete placement will place higher in the sequence than MATH 115. Therefore, no student is required to take MATH 115 for any reason—they will have satisfied the MATH 115 pre- or corequisite for all courses that require it, and they will have satisfied the MATH 115 requirement for any award programs that list it. Likewise, in a broader example: Students who place into any transfer-level math course are not required to take any below-transfer-level math course for any reason.
While many majors do not require any math, if you intend to earn an associate of arts/science degree and have not met math competency you will need to do so prior to graduation. If you maintain catalog rights from prior to fall 2019 and have placed into any transfer-level math course, you have met math competency for all AA/AS degrees. If you were admitted in fall 2019 or later, you may meet competency by verifying earning a grade of C- or higher in Algebra 2 or equivalent or higher at a US regionally accredited high school or college, or through other means. See a counselor for details.