Solving Quadratic Equations

These are real, released New York State Regents questions (Next Generation Algebra I), each cited to the exam it came from. They cover every way to solve a quadratic — factoring, the square-root method ($x^2 = k$), completing the square, and the quadratic formula — including knowing which method fits (some won't factor) and recognizing the property that justifies a step.

The multiple-choice items are checked instantly. The constructed-response items work the way the real exam does: work them out on paper first, then reveal the official rubric and a worked model solution and score yourself — because on the Regents, how you show the work is most of the credit. Your projected performance level and per-standard readiness update as you go.