New York State Integrated Algebra Regents

Working with the New York State Integrated Algebra Regents Exam

The Integrated Algebra Regents was the high school math exit exam in New York from 2005 through 2009, when it got replaced by the current Algebra I Regents. If you are pulling old study material or working with a student who needs to understand the older format for some reason, it is worth knowing exactly how it was structured before you waste time on resources that don't apply. The exam was a three-hour paper-and-pencil test divided into three parts. Part A had 25 multiple-choice questions, each worth 2 points. Part B had 6 short-answer questions where you wrote your own answer, split between Part B-1 (4 questions, 2 points each) and Part B-2 (2 questions, 4 points each). Part C had 4 constructed-response questions worth 6 points each. The total possible score was 100 points, and the passing threshold has historically sat at 65, though the state occasionally adjusts the cut score year to year depending on how the test performs. The content covered the full range of integrated algebra — linear equations and inequalities, systems of equations, polynomials and factoring, quadratic equations, exponents and radicals, rational expressions, basic statistics and probability, and introductory geometry proofs. "Integrated" meant it pulled from both traditional algebra and geometry rather than treating them as separate courses, which is why some students found the transitions between topics jarring.

I ran into a specific problem with the 2008 January administration that I still remember. Part C, question 32 asked students to solve a system involving a linear equation and a parabola by graphing, then verify algebraically. A lot of kids who graphed carefully on grid paper got the right intersection points visually, but then their algebraic verification didn't quite match because they rounded the graph readings too aggressively. The workaround that actually worked was teaching students to substitute their graphical estimates back into both original equations and adjust one coordinate at a time until both equations balanced, rather than trying to get the graph to look perfect. That single trick saved people points who otherwise would have lost the full 6-point question.

Scoring and Interpretation

The raw score converts directly to a final score out of 100 with no penalties for wrong answers in the multiple-choice section. Short-answer and constructed-response questions are scored by trained scorers using a rubric that awards partial credit for correct setup even if the final answer is wrong. This matters more than most people realize. On Part B-2 and Part C, showing your work is not optional advice — it is how you earn the bulk of your points. A kid who sets up the quadratic formula correctly but makes an arithmetic error can still pull 4 out of 6 points on a Part C question, while a kid who writes only a final answer has nothing to fall back on. The pass rate for Integrated Algebra was consistently lower than Geometry but higher than Algebra II when the exam existed. From what I saw across administrations, roughly 55 to 65 percent of students passed on their first try. The main bottleneck was always Part C, specifically the word-problem-heavy questions that required setting up equations from scratch. Multiple choice students could brute-force answers, but constructed response exposed whether you actually understood the underlying relationship or just recognized a familiar pattern.

What You Can Use Now

The New York State Integrated Algebra Regents has been retired, so official exams are no longer being administered. You can still find past papers on the New York State Education Department website and at sites like the Regents Prep center. The archived exams from June 2009 and January 2010 are the most complete and useful because they are closest to the final version before the switch to Algebra I. If you are using these for practice, treat the scoring guide as part of the study material, not just an answer key. The scoring rubric shows exactly how partial credit is awarded, which tells you how much work to show under timed conditions. Some students spend too long writing formal proofs on Part C questions when the rubric only requires a few key steps. Others write too little and miss credit they would have gotten for correct reasoning.

Common Pitfalls

The biggest mistake I see with these older exams is comparing them directly to the current Algebra I Regents without accounting for the difference in scope. Integrated Algebra included more geometry content — triangle congruence proofs, basic circle theorems, coordinate geometry combining slope with distance — than the newer Algebra I exam. If you study only current-format materials and then look at an Integrated Algebra paper, you will be surprised by the proof questions. Conversely, if you drill Integrated Algebra papers to prepare for the current Algebra I exam, you will spend time on topics that no longer appear and miss things like explicit rational exponent rules that were de-emphasized in the older version. Another trap is the calculator policy. The Integrated Algebra exam allowed scientific calculators for most questions but not calculators with symbolic algebra systems. Students who brought TI-89s or similar devices would get their calculators confiscated at the relevant questions and lose time. The NYS regulations were clear about this, but test room proctors sometimes gave mixed signals about which calculators were acceptable, and the confusion cost people valuable minutes during the exam. The exam also had a quirk with radical simplification. The official answer keys sometimes accepted unsimplified radicals if the student's work showed the correct path, but in other administrations, simplified form was treated as mandatory for full credit. There was no consistent published rule about this across years, which made preparation frustrating. The safe bet is always to simplify — it does not hurt your score and prevents ambiguity at grading time.

Alternatives and Context

If your goal is simply to satisfy the algebra graduation requirement in New York, the Integrated Algebra Regents is irrelevant. The state transitioned to the Algebra I Regents in 2010, and that is the current exam everyone takes. The Algebra I Regents uses the same general format — multiple choice, short answer, and constructed response — but the content map is different, with less geometry integration and more explicit focus on functions and transformations. Using old Integrated Algebra papers as supplementary practice for the current Algebra I exam is still reasonable if you stick to the overlapping topics: linear equations, systems, quadratics, and polynomials. Just do not invest time in the geometry-integrated proof sections since those are largely absent from the current test. The overlap is maybe 60 to 70 percent of the content, so the return on time spent drops significantly the deeper you go into the older curriculum. One thing worth noting is that the Integrated Algebra exam was generally considered slightly more difficult than the early versions of the Algebra I Regents that replaced it. The integrated geometry-algebra blend created questions that required switching mental frameworks mid-problem, which many students found more taxing than the more linear progression of the newer exam. If you are looking at historical pass rates or comparing performance data across years, keep that difficulty difference in mind.