Past Algebra 1 Regents Exams

Working With Old Regents Papers

I spent roughly six years proctoring these exams and another four grading them, so I have seen every common mistake students make and a few that should not be possible. The New York State Algebra 1 Regents is a four-part test: multiple choice, constructed response, and two sections that require full working. The clock runs eighty-five minutes, and the questions are straightforward if you know what to look for. The real problem is that students waste time on Part 1 multiple choice when they should be moving quickly into the free-response sections where most of the points live. The exam covers linear equations, systems, quadratics, exponents, radicals, and basic statistics. It does not go into trigonometry or advanced probability. You need to be comfortable graphing lines by hand, solving quadratic equations by factoring or the quadratic formula, and translating word problems into algebraic expressions. That is the core. Everything else is either a routine application or a trick that appears once every few years.

Where to Find Past Algebra 1 Regents Exams

The New York State Education Department maintains an archive of every administered exam going back to 2011, along with official answer keys and scoring rubrics. You can pull them from their website without any registration. Some third-party sites repost them with ads and pop-ups, and the files sometimes come in slightly different formats. Stick to the official source. The PDFs are clean, the layouts match what students will see on test day, and the answer keys include the correct responses plus point distributions for each constructed-response question. Here is what most people miss about these exams. The Department also posts scanned copy of student answer sheets from selected administrations, labeled as student performance samples. They show what a top-score answer looks like side by side with a failing one. Reading those takes about ten minutes and teaches you more than any review book. You see exactly how graders interpret partial credit and where they draw the line between acceptable work and incorrect work. One edge case I ran into repeatedly involved question 31 from the June 2018 exam. It asked students to interpret a linear model in context, and the rubric required both the slope interpretation and the y-intercept interpretation to earn full credit. Several students wrote solid slope explanations but completely skipped the y-intercept, losing two points for incomplete work. I flagged this during grading meetings because it happened to roughly thirty percent of the students who attempted that question. The workaround is simple: when a question gives you a line of best fit or a modeled equation, always state what the slope means in the problem's units and what the intercept means, even if the prompt does not explicitly ask for both. The rubric does not care about your reasoning process. It cares about whether the required elements are present.

Another detail worth noting is that the exam uses specific rounding conventions. Answers involving money should be rounded to the nearest cent. Decimal answers without a specified precision should be rounded to the nearest hundredth. I have lost count of the students who wrote correct work but lost points because they rounded 3.14159 to 3.14 when the question required 3.142, or because they left a dollar amount as 4.5 instead of 4.50. The rubric marks this strictly. It is not about mathematical accuracy. It is about following the instructions. Part 3 is where the exam separates the students who memorize procedures from the ones who actually understand algebra. Those four questions combine multiple topics into a single problem. A typical Part 3 question might ask you to set up a system of equations, solve it, then use the solution to make a prediction or draw a conclusion. The scoring gives you partial credit for setting up the system correctly even if your solution is wrong, so do not skip the setup. I have seen students erase their work because they suspected an arithmetic error mid-solution, only to realize too late that the setup itself was worth two points. Write everything down. Cross out mistakes with a single line if you need to, but leave your reasoning visible. The statistics portion of the exam is lighter than some students expect. You will see scatter plots, lines of best fit, and basic interpretations of slope and correlation. You do not need to calculate standard deviation or perform hypothesis tests. The trick is that the questions often include graphs you have to read rather than numbers you have to compute. Practice interpreting real scatter plots, not just textbook examples. The June 2016 exam had a question where the line of best fit had a positive slope but the correlation was weak, and several students wrote that the model was strong because the slope was steep. The slope magnitude has nothing to do with correlation strength. That distinction comes up every year and students consistently mix it up.

Quadratic equations appear in every exam, usually in Part 2 or Part 3. You need to solve by factoring, completing the square, and the quadratic formula. The exam does not punish you for using a particular method, but factoring is faster when the coefficients are small and the roots are integers. The quadratic formula is your fallback when the numbers are ugly. I recommend memorizing the formula and practicing it until you can write it from memory without thinking. Students who hesitate on the formula lose time and make sign errors under pressure. One thing the official materials do not emphasize enough is time management. The average student spends about twelve minutes per multiple-choice question and still runs out of time on the free-response sections. The multiple-choice section is worth twenty-eight points out of eighty-six, which is roughly thirty-two percent of the exam. Do not overthink those questions. Pick the best answer, mark your choice, and move on. If you are stuck after two minutes, guess and circle back if time permits. The constructed-response questions are worth more per minute of effort, and they are where you build your score. The algebraic manipulation questions, especially those involving rational expressions and radicals, follow predictable patterns. You will simplify expressions, solve equations with variables in the denominator, and rationalize denominators. These are mechanical tasks. Practice them until they are automatic. I graded exams where students knew the concepts but lost points because they made careless arithmetic errors on simple fractions. The fix is not more studying. It is writing out each step clearly and checking your work before moving to the next problem.

For review materials, the official Regents review guide from the state is adequate but sparse. It covers the content without much practice. Third-party review books like Barron's or Kaplan add more problems but sometimes include questions that are harder than what appears on the actual exam. The hardest questions on the Regents are not particularly difficult. They are just cumulative, combining two or three topics into a single prompt. Stick to past exams for practice. Nothing replicates the actual test format better than doing actual tests under timed conditions. Students often ask whether they need a graphing calculator. The exam allows scientific calculators but not graphing calculators with computer algebra systems. The TI-30X series is sufficient. You do not need anything fancy. The questions are designed so that a basic calculator handles all the arithmetic. I have seen students bring graphing calculators, get turned away at the door, and waste twenty minutes finding a replacement. Bring a TI-30XS or equivalent, check the batteries the morning of the exam, and do not overthink the calculator choice. One final practical note about the scoring scale. The raw score converts to a scaled score between zero and one hundred, and the passing threshold is typically sixty-five to seventy depending on the administration. The conversion table changes slightly from exam to exam because the difficulty varies. A raw score of fifty-five on a harder exam might scale to a passing sixty-five, while the same raw score on an easier exam might only scale to sixty-two. Do not fixate on a specific raw score target. Focus on maximizing the points you can earn on questions you know how to do. The guessing bonus on Part 1 is real, but the point differences between a three and a four on a constructed-response question are where the exam is won or lost.