A document providing exercises focused on expressions defined as the quotient of two polynomials, accompanied by solutions, in a portable document format. These resources typically encompass a variety of problem types, including simplifying these expressions, identifying asymptotes and intercepts, graphing, and solving equations involving them. For example, a problem might require determining the domain of (x+1)/(x^2-4) or sketching the graph of y = (2x-3)/(x+1).
These resources serve as valuable tools for students learning algebra and precalculus, as they facilitate self-assessment and reinforce understanding of key concepts. By working through the problems and checking against the provided solutions, learners can identify areas of weakness and improve their problem-solving skills. Historically, printed worksheets were a primary method of delivering such practice, but the PDF format allows for easy distribution and accessibility in a digital environment.