Schoology has two things that both look like a quiz. The classic Test or Quiz is a course material you add inside a course, graded into that course's gradebook, and it is what most teachers reach for on a Tuesday. Schoology Assessments are the newer assessment type built on item banks, with more question types and deeper reporting, aimed at the common assessments a department gives across sections.
For a chapter check, the classic Test or Quiz is almost always the right call: fewer clicks, familiar settings, and it drops into the gradebook where you expect it. For a benchmark that four teachers give and someone has to analyze by standard, Assessments earn their extra setup.
Either way the questions are the same questions. Generating them from the source material once and holding them in a bank means you are not rewriting anything when a department decides the chapter test should become a common assessment.
Weekly chapter check
Classic Test or Quiz. Fifteen items, mostly auto graded, published Friday, graded before you leave the building.
Department benchmark
Assessments with item banks, so the data comes back by item and by standard rather than as one score.
Make up and retake
A random draw from a bank means the second sitting is a different paper without any new writing.
Study set for students
Push the surplus questions out as a practice set so students test themselves rather than reread the chapter.