Is your Algebra 1 Regents exam on the horizon? Don’t panic. If you follow our 30-day Algebra 1 Regents study guide, you’ll walk into exam day feeling confident and ready to ace the test.

Our plan recommends you spend between 30 and 90 minutes studying for the Algebra 1 Regents each day. But we know that “studying” can mean a lot of different things. Lucky for you, we’ve taken out all of the guesswork and crafted a detailed plan of not only what to study, but how to study.

Each day in the study calendar below includes the theme and topic you should be studying as well as the study technique you should use that day.

Not feeling too comfortable with your study skills? We’ve detailed each different study technique so you can feel ready to hit the books!

What We Review

## Algebra 1 Regents Study Techniques

Guess what — staring at the pages in your math textbook does not count as studying for the Algebra 1 Regents exam. To effectively study, you need to get familiar with the concepts and vocabulary on the Algebra 1 Regents as well as practice the skills you’ll be expected to perform.

That’s why our Algebra 1 Regents study plan includes a variety of study techniques designed to flex all of your math muscles. Review each of the study techniques below before you start your study plan so that you know what to expect.

Flashcards: Flashcards are a tried and true method of memorizing vocabulary and building recall ability.

To build your Algebra 1 Regents flashcard deck, you can use an online flashcard creator or get old-fashioned with index cards. Write the vocabulary term on one side of the card and a definition, example, or formula on the other.

To practice with your flashcards, look at the side with the term and try to recall the information on the other side. Then, flip the card over to check your work. Better yet, practice with a friend who can tell you if you’ve got it correct.

Skill Building: Remember: practice makes perfect! You should work on solving Algebra 1 Regents practice problems that mimic the problems you’ll see on the actual exam.

You can try completing problems from official released exams. Or, work on the practice problems in your Algebra 1 textbook. If you don’t have a textbook, you can find one at your local library.

Better yet, check out Albert’s Algebra 1 practice questions. When you answer a question, you’ll get instant feedback and specialized explanations written by professional educators. The topics we’ve listed are all 100% free to practice!

Topic Quizzes: Taking practice quizzes on specific topics can help you figure out which skills you’ve mastered and where you should practice more. Our study plan includes topic quizzes to help you take control of your own learning.

Where can you find topic quizzes? You can use the quizzes in any Algebra 1 textbook or make copies of quizzes you took in Algebra 1 throughout the year.

Or, if you want an automatically graded quiz with detailed explanations, check out Albert’s Regents aligned topic quizzes! If you use Albert in your classroom, you’ll have to ask your teacher to assign the quiz for you.

Full-Length Practice Exams: You wouldn’t run a marathon without going on some really long runs, so don’t take the Regents exam without incorporating some full-length practice exams into your study plan. This can also help ease test anxiety and boost your exam score.

You can print out official released Algebra 1 Regents exams from the New York State Education Department website. They also released rating guides so you can find your score!

Prefer to have your Algebra 1 Regents practice exams instantly graded and explained? Check out Albert’s practice exam library. These exams are teacher-locked, so you might have to ask your teacher to assign an exam for you.

Refresh and Review: The Algebra 1 Regents exam covers a lot of concepts and skills. Sometimes, students need a simple refresher!

You can choose to review notes that you took from Algebra 1 class, re-read pages in an Algebra 1 textbook, check out online videos and resources, or even ask a teacher for a mini-review session. We’ve shared some of our favorite resources in the plan below.

Our Algebra 1 Regents 30-day study plan helps you decide what to review and when to review it. Plus, check out the optional spiral review section in each day of the plan to see what concepts you can add-on to your studies to help you stay fresh!

CRQ Practice Problems: 13 of the 37 questions on the Algebra 1 Regents exam are Constructed Response Questions. It’s important to practice answering CRQs and, most of all, showing your work!

For each CRQ practice day, we’ve compiled a list of relevant CRQs from released Algebra 1 Regents exams. Try the designated CRQ on your own. Be sure to include all diagrams, equations, and models needed to answer all parts of the question.

Then, you can check out released model responses to grade your work and see how other students responded. With practice, you’ll be answering each CRQ like a pro!

## Algebra 1 Regents 30-Day Study Plan

### Using the Algebra 1 Regents Study Plan

Creating an effective study plan can take time and effort. We want to take some of the load off your shoulders, so we crafted a clickable 30-day study calendar. Click on each day to see a breakdown of what you’ll be studying, including:

- The domain of focus. Remember, the Algebra 1 Regents tests skills in 4 domains: Algebra, Functions, Statistics & Probability, and Number & Quantity.
- The standards you’ll master. We’ve analyzed released Regents exams to find the Common Core State Standards assessed on the test. You can search Albert’s Algebra 1 course library by standard to make sure you get the practice you need.
- The guiding questions you’ll cover. Use these questions as benchmarks to make sure you know the concepts covered in the exam and can do the skills that will show up!
- The study techniques we recommend. We detailed these techniques above — check it out!
- Optional spiral review. If you have extra time on a given day, spend some time reviewing a bonus concept or skill to fine tune your Algebra 1 acumen!

Remember, this plan is a suggested outline that you can adapt to fit your individual needs!

## Algebra 1 Regents 30-Day Study Guide Calendar

Day 1 | Day 2 | Day 3 | Day 4 | Day 5 |

60 min
Interpret Expressions |
60 min
Model with Equations |
75 min
Solve Equations |
45 min
Understand Graphs |
2-3 hours
Practice Exam |

Day 6 | Day 7 | Day 8 | Day 9 | Day 10 |

60 min
Solve Systems Algebraically and Graphically |
60 min
Write and Solve Systems of Equations |
45 min
Systems of Inequalities |
60 min
Forms of Expressions |
Rest Day |

Day 11 | Day 12 | Day 13 | Day 14 | Day 15 |

60 min
Understand Functions |
45 min
Evaluate Functions |
60 min
Sequences |
45 min
Graphs of Functions |
75 min
Analyze Graphs of Functions |

Day 16 | Day 17 | Day 18 | Day 19 | Day 20 |

60 min
Rate of Change |
75 min
Properties of Functions |
45 min
Function Relationships |
60 min
Function Transformations |
75 min
Linear vs Exponential Functions |

Day 21 | Day 22 | Day 23 | Day 24 | Day 25 |

45 min
Interpret Functions |
60 min
Interpret Linear Models |
75 min
Data Analysis |
60 min
Units and Quantities |
45 min
Zeros of a Function |

Day 26 | Day 27 | Day 28 | Day 29 | Day 30 |

60 min
Quadratic Features |
75 min
Solve Quadratics |
2-3 hours
Practice Exam |
60 min
Strategic Review |
Rest Day |

## Algebra 1 Regents 30-Day Study Guide Daily Details

## Week 1

Welcome to your first week of studying for the Algebra 1 Regents exam! This is going to take a lot of hard work and focus, but we’re here to help!

Before you start reviewing for the exam, be sure to read our detailed guides on Algebra 1 Regents Exam Review and Algebra 1 Regents Study Tips and Things to Remember.

In this first week of the study plan, we provide a lot of details on each day to help guide your time. Remember you can make adjustments as needed based on your own needs or learning style.

### Day 1

Your first day of studying for the Regents Algebra 1 exam starts with some flashcard work and skill practice. We’ve outlined the terms you should include and online practice questions you can use below.

- Domain: Algebra
- Topic(s): Interpret Expressions
- Standard(s): HS.A.SSE.1a, HS.A.SSE.1b
- Guiding Questions:
- Can you interpret terms, factors, and coefficients in an expression?
- Can you interpret parts of complicated expressions as single entities?

- Flashcards (20 minutes):
- Term: Each quantity in an expression or equation, such as 5x in 4+ 5x = 59.
- Factor: A number that can be multiplied by another number to equal a certain quantity.
- Coefficient: A number next to a variable in an expression or equation that multiplies it.
- Variable: A letter used to represent an unknown value in an expression or equation.
- Operation: Addition, subtraction, multiplication, or division.
- Product: The result when two or more numbers are multiplied together.
- Quotient: The result when a dividend is divided by a divisor.
- Sum: The result when two or more numbers or terms are added.
- Difference: The result when two or more numbers or terms are subtracted.

- Skill Building (40 minutes):
- Level 1: Identifying variables (10 questions)
- Level 2: Identifying coefficients and constants (10 questions)
- Spiral Review (optional):

Return to the study guide calendar

### Day 2

It’s time for day 2 of your Algebra 1 Regents study plan. It can be difficult to build daily study practices into your routine, but before you know it, it will become a habit.

Today you’ll be diving in to work on some Constructed Response Questions and taking a topic quiz. If you don’t have access to the quiz we linked below, you can check your textbook or ask a teacher for a quiz on this topic. If you have access to Albert through your school, you may have to ask a teacher to assign this quiz for you.

- Domain: Algebra
- Topic(s): Model with Equations
- Standard(s): HS.A.CED.1, HS.A.SSE.1
- Guiding Questions:
- Are you able to solve real-world problems by writing equations or inequalities with one variable?
- Can you interpret expressions that represent a quantity in terms of its context?

- CRQ Practice (30 minutes):
- Question 33 from the January 2019 Algebra 1 Regents
- Question 33 from the August 2018 Algebra 1 Regents
- Question 34 from the August 2019 Algebra 1 Regents
- Question 33 from the August 2017 Algebra 1 Regents
- Hint: Notice anything? It looks like this type of question is frequently asked around question 33-34 on the exam!

- Topic Quiz (30 minutes):
- Model with Single Variable Linear Equations
- Don’t have full access to Albert assessments? Check out the assessment on pages 179-182 of this topic overview from EngageNY!

- Spiral Review (optional):
- Watch this Interpreting Algebraic Expressions video from ProfRobBob

Return to the study guide calendar

Sample Albert practice question

### Day 3

It’s your third day studying for the Algebra 1 Regents exam! Do you feel like you’re starting to get in that study groove?

Gear up for a slightly longer (~75 minute) study session today. We’ll be reviewing concepts, practicing vocabulary with flashcards, and fine tuning skills with some online practice.

- Domain: Algebra
- Topic(s): Solve Equations
- Standard(s): HS.A.REI.1, HS.A.REI.3, HS.A.CED.4
- Guiding Questions:
- Can you construct a viable explanation that justifies how to solve an equation?
- Can you solve linear equations and inequalities one variable?
- Can you rearrange formulas to solve for a specific quantity of interest?

- Flashcards (15 minutes):
- Distributive Property of Equality: When a factor is multiplied by a quantity, we can multiply it by each term in the quantity. Example: a(x+y)=ax+ay
- Commutative Property of Equality: The order of numbers does not matter when we find a sum or product. Example: a+b=b+a
- Associative Property of Equality: The way that numbers are grouped does not matter when we find a sum or product. Example: (a+b)+c=a+(b+c)
- Addition Property of Equality: If we add the same value to each side of an equation, the equation remains true.
- Subtraction Property of Equality: If we subtract the same value from each side of an equation, the equation remains true.
- Multiplication Property of Equality: If we multiply the same value by each side of an equation, the equation remains true.
- Division Property of Equality: If we divide each side of an equation by the same value, the equation remains true.

- Review (30 minutes):
- Complete Exercise 2 and 3 in this Solving Equations lesson from EngageNY
- Watch this video on Properties of Equality from Math Planet

- Skill Building (30 minutes):
- Spiral Review (optional):
- Build your modeling skills with Level 1: Express formulas as equations (10 questions)

Return to the study guide calendar

### Day 4

Good news — after all the work you put in yesterday, you only need to spend 45 minutes studying for the Algebra 1 Regents exam today! Admit it, that’s less time than you spent scrolling through your social media today.

Today we’re diving into the concept of graphs and how they relate to equations. You’ll be watching some helpful review videos and doing some online practice.

- Domain: Algebra
- Topic(s): Understand Graphs
- Standard(s): HS.A.CED.2, HS.A.REI.10
- Guiding Questions:
- Do you understand that the graph of an equation is the set of all its solutions?
- Can you read and understand the graph of an equation in two or more variables?

- Review (15 minutes):
- Watch the Graphing a linear equation video from Khan Academy

- Skill Building (30 minutes):
- Level 1: Understand slope (10 questions)
- Level 2: Graph proportional relationships (unit rate as slope) (10 questions)
- Note: These topics are from Albert’s Foundations of Algebra course, which is a great place to review some foundational math skills.

- Spiral Review (optional):
- Revisit your flashcards from day 1. Spend 10 to 15 minutes making sure you have the terms and phrases committed to memory.

Filter Albert questions by a specific standard (learn more)

### Day 5

Welcome to day 5 of your study plan. This is a big day in your Algebra 1 Regents journey — it’s time to take your first full length practice exam!

Full Length Practice Exam #1

Collect all of your materials before you sit down to take the exam. You’ll need an exam, a pencil, a pen, a ruler, a graphing calculator, the student reference sheet, and some scratch paper.

If you are taking a released exam from the New York State Education Department, we recommend taking the June 2019 released exam. Get a printable PDF here. After you’ve taken the exam, you can grade your own work using the official rating guide.

If you choose to take your exam on Albert, you can access an online version of Albert’s Regents Algebra 1 Practice Exam #1 here. If your Albert access is through your school, you’ll have to ask a teacher to assign the exam for you. You can also print out this PDF to answer Parts II, III, and IV of the exam. Your multiple choice questions will be graded automatically. You can use Albert’s digital rubric to score your own CRQs.

Record your final score, making a note of which questions you struggled with. If you took your test on Albert, read through the detailed explanations for each question you missed. Taking the time to understand your mistakes is a crucial step in boosting your Algebra 1 Regents exam score.

Return to the study guide calendar

### Day 6

Phew – you survived your first full length practice exam! Maybe you’re feeling confident and ready to continue with your study plan. Or, maybe you’re feeling a little discouraged. Either way, keep up the hard work. If you trust the process, you’ll be amazed at the progress you can make on your next practice exam!

- Domain: Algebra
- Topic(s): Solve Systems Algebraically and Graphically
- Standard(s): HS.A.REI.11, HS.A.REI.5, HS.A.REI.6
- Guiding Questions:
- Can you prove that, in a system of two equations in two variables, replacing one equation with the sum of that equation and a multiple of the other equation produces a system with the same solution?
- Can you solve systems of equations exactly (using algebra) and approximately (using graphs)?
- Can you explain how to find the solution(s) to two graphs that intersect?

- Review (30 minutes):
- Read this overview on how to solve systems of equations by graphing from MathPlanet. Be sure to watch the video as well!
- Watch this video from Khan Academy on using the substitution method to solve systems of equations
- Watch this video on Solving Systems of Equations by Elimination from MyWhyU

- Skill Building (30 minutes):
- Level 1: Substitution with systems of equations (10 questions)
- Level 2: Elimination with systems of equations (10 questions)

- Spiral Review (optional):
- Print out the student version of this lesson from EngageNY and complete the practice problems. When you’re finished, use the teacher version to grade your own work.

Return to the study guide calendar

### Day 7

You’re officially 1 week into your Algebra 1 Regents study plan! Congratulations on the momentum you’ve built that will help you ace this test.

Today, you’ll spend more time working with systems of equations. You’ll need to know not only how to solve systems of equations, but also how to build your own systems from word problems. Today’s study session is only 45 minutes long – it will be over before you know it!

- Domain: Algebra
- Topic(s): Write and Solve Systems of Equations
- Standard(s): HS.A.CED.3, HS.A.CED.2
- Guiding Questions:
- Can you represent constraints on a situation using equations, inequalities, systems or equations, and systems of inequalities?
- Can you interpret solutions as viable or non-viable options when modeling real-world situations?
- Can you solve real-world problems by writing equations or inequalities with two (or more) variables?

- Review (15 minutes):
- Watch the Writing Systems of Equations Tutorial video from Friendly Math 101
- Watch the How to solve a word problem with systems of equations video from Brian McLogan

- CRQ Practice (30 minutes):
- Question 37 from the January 2019 Algebra 1 Regents
- Question 37 from the June 2019 Algebra 1 Regents
- Question 37 from the August 2018 Algebra 1 Regents
- Question 37 from the January 2018 Algebra 1 Regents
- Hint: Notice anything? It looks like this type of question is frequently asked around question 37 on the exam!

- Spiral Review (optional):
- Review your flashcards from day 3. Make sure you have all the properties of equality memorized. Better yet, review your flashcards from day 1 as well! That way, you’ll start to build a comprehensive Algebra 1 Regents vocabulary.

Return to the study guide calendar

## Week 2

Great work making it through the first week of studying for the Algebra 1 Regents exam! You’ve accomplished so much already: diving into vocabulary, reviewing multiple choice questions, writing answers to constructed response questions, and taking your first full-length practice exam.

In the second week of studying, we’ll continue to focus on more algebra topics and begin exploring functions. You’ll even have a day of scheduled rest in the middle of this week. You’ll notice for days that include flashcards, we’ll leave it up to you to pick the specific terms to focus on.

The vast majority of questions on the Algebra 1 Regents exam cover topics in algebra or functions, so this is an important week. You can do it!

### Day 8

- Domain: Algebra
- Topic(s): Systems of Inequalities
- Standard(s): HS.A.REI.12
- Guiding Questions:
- Can you graph the solutions to a linear inequality in two variables (as a half-plane)?
- Are you able to graph the solution set to a system of linear inequalities in two variables?

- CRQ Practice (15 minutes):
- Question 35 from the January 2019 Algebra 1 Regents
- Question 35 from the August 2018 Algebra 1 Regents
- Question 33 from the August 2019 Algebra 1 Regents

- Topic Quiz (30 minutes):
- Systems of Equations and Inequalities
- Don’t have full access to Albert assessments? Try the Graphing Systems of Inequalities Practice Problems from Algebra Class

- Spiral Review (optional):
- Level 1: Graph with systems of equations (10 questions)

Return to the study guide calendar

### Day 9

- Domain: Algebra
- Topic(s): Forms of Expressions
- Standard(s): HS.A.SSE.2, HS.A.APR.1, HS.A.SSE.3c
- Guiding Questions:
- Can you rewrite complicated expressions into different forms?
- Can you add, subtract, and multiply different polynomials?
- Can you use exponent properties to transform expressions?

- Flashcards (15 minutes):
- Use your flashcards to practice different forms of expressions and exponent properties

- Skill Building (45 minutes):
- Level 1: Simplify expressions with single variable (10 questions)
- Level 2: Simplify expressions with multiple variables (10 questions)
- Level 1: Multiply powers (12 questions)

- Spiral Review (optional):
- Level 2: Solutions to systems of inequalities with graphs (14 questions)
- Level 3: Apply systems of linear inequalities (12 questions)

Return to the study guide calendar

### Day 10

After all the hard work you’ve done so far, your brain deserves a break. Part of sustaining this 30-day schedule is giving yourself time and space for rest.

Take today to relax, spend some time outside, and eat some healthy food. You should consciously do something you enjoy doing (other than math). We’ll get back to studying hard for the Algebra 1 Regents exam tomorrow.

Return to the study guide calendar

### Day 11

- Domain: Functions
- Topic(s): Understand Functions
- Standard(s): HS.F.IF.1
- Guiding Questions:
- Do you understand the definition of a function?
- Can you describe what the “domain” and “range” of a function means?

- Review (20 minutes)
- Watch this video from VirtualNerd on defining a function
- Read and take notes on this introduction to domain and range from ck12.org
- Watch this video on domain and range of a function given a formula from Khan Academy
- Watch this video on the Vertical Line Test from patrickJMT

- Skill Building (30 minutes)
- Complete at least 4 of these practice questions from Illustrative Mathematics and then read the full explanations
- Albert practice: try these 12 problems from Level 3: Determine domain of functions

- Flashcards (10 min)
- Make flashcards to review important vocabulary and concepts from today’s session

- Spiral Review

Return to the study guide calendar

### Day 12

- Domain: Functions
- Topic(s): Evaluate Functions
- Standard(s): HS.F.IF.2
- Guiding Questions:
- Do you understand function notation?
- Can you interpret statements that use function notation in a real-world context?
- Can you evaluate a function for inputs in its domain?

- Review (15 minutes)
- Watch this video on function notation from VirtualNerd
- Watch this video on evaluating functions from equations from Khan Academy
- Watch this video on evaluating functions from graphs from Khan Academy

- Skill Building (30 minutes)
- Level 2: Evaluate functions (11 questions)
- Practice these skills-based function questions from Mathopolis

- Spiral Review

Return to the study guide calendar

### Day 13

- Domain: Functions
- Topic(s): Sequences
- Standard(s): HS.F.IF.3, HS.F.LE.2
- Guiding Questions:
- Do you recognize that sequences are functions whose domain is a subset of integers?
- Can you construct linear and exponential (including sequences) functions given a graph, a description of the relationship, or two input-output pairs?

- Review (30 minutes)
- Read introductions to arithmetic sequences and geometric sequences
- Watch this video showing how to find terms in sequences from The Organic Chemistry Tutor
- Read this article covering key vocabulary and details about sequences
- Read the explanation to at least one sample question from each section on this sequence example page

- Topic Quiz (30 minutes)
- Arithmetic and Geometric Sequences
- Don’t have full access to Albert assessments? Try the Skill Building activity listed below
- Skill Building (30 minutes)
- Level 2: Determining formula of a sequence (10 questions)
- Note: only do this Skill Building if you did not complete the Topic Quiz

- Spiral Review
- Try these practice questions on function notation
- Practice these 10 question on function definitions from MathBitsNotebook

Return to the study guide calendar

### Day 14

- Domain: Functions
- Topic(s): Graphs of Functions
- Standard(s): HS.F.IF.4, HS.F.IF.5
- Guiding Questions:
- Can you interpret key features of graphs and tables in terms of the relationship between two quantities?
- Can you sketch graphs of a function based on verbal description of a relationship between two quantities?
- Given a graph of a function, can you find the intercepts, intervals where the function is increasing, decreasing, positive, or negative, the relative maximums and minimums, symmetries, and end behavior?
- Are you able to select an appropriate domain of a function based on a real-life quantitative relationship?

- Review (20 minutes)
- Watch this video from Khan Academy on interpreting graphs of a function
- Read and take notes on features of function graphs from MathBitsNotebook
- Watch this video on how to apply domain in world problems from Khan Academy

- CRQ Practice (25 minutes):
- Question 36 from the January 2019 Algebra 1 Regents
- Question 36 from the August 2018 Algebra 1 Regents
- Question 36 from the August 2019 Algebra 1 Regents

- Spiral Review
- Try question 25 (about evaluating a function) from the August 2019 Algebra 1 Regents

Return to the study guide calendar

## Week 3

This third week means you’re about halfway through this Regents Algebra 1 study plan – you’re crushing it! Week 3 is all about functions, functions, and more functions 🙂

Remember this: you can always adjust this study plan to fit your needs. If you miss a day or get behind in the plan, just make some adjustments and move things around. Be sure to prioritize the topics that appear most frequently on the exam.

### Day 15

- Domain: Functions
- Topic(s): Analyze Graphs of Functions
- Standard(s): HS.F.IF.7, HS.F.IF.7a, HS.F.IF.7b
- Guiding Questions:
- Can you graph functions expressed symbolically and show key features of a graph (by hand for simple cases and using calculator for complicated cases)?
- Can you graph linear and quadratic functions showing intercepts, maxima, and minima?
- Can you graph square root, cube root, and piecewise-defined functions (such as step functions and absolute value functions)?

- Review (30 minutes)
- CRQ Practice (30 minutes)
- Question 29 from the January 2019 Algebra 1 Regents
- Question 32 from the August 2019 Algebra 1 Regents
- Question 27 from the June 2019 Algebra 1 Regents
- Need graphing paper to practice graphing? Print this coordinate plane.
- Flashcards (15 min)
- Create flashcards for each of the different function types

- Spiral Review
- Practice these function notation and evaluation problems from MathBitsNotebook

Return to the study guide calendar

### Day 16

- Domain: Functions
- Topic(s): Rate of Change
- Standard(s): HS.F.IF.6
- Guiding Questions:
- Can you interpret the average rate of change of a function over a specified interval?
- Can you calculate the average rate of change of a function presented symbolically or as a table over a specified interval?
- Can you estimate a function’s rate of change from a graph?

- Review (25 minutes)
- CRQ Practice (35 minutes)
- Question 28 from the January 2019 Algebra 1 Regents
- Question 36 from the January 2019 Algebra 1 Regents
- Question 36 from the August 2019 Algebra 1 Regents
- Question 29 from the June 2019 Algebra 1 Regents

- Spiral Review
- Try question 32 (about a sequence) from the August 2018 Algebra 1 Regents

Return to the study guide calendar

### Day 17

- Domain: Functions
- Topic(s): Properties of Functions
- Standard(s): HS.F.IF.8, HS.F.IF.8a, HS.F.IF.9
- Guiding Questions:
- Can you write a function defined by an expression in different forms that reveals and explains properties of the function?
- When given a real-world scenario, can you use factoring and completing the square in a quadratic function to find and interpret the zeros, extreme values, and symmetry of a graph?
- Can you compare properties of two functions represented in different ways (such as algebraically, graphically, numerically in tables, or by verbal descriptions)?

- Review (30 minutes)
- Watch this video on factoring a quadratic function from NancyPi
- Watch this video showing completing the square from yaymath
- Watch this video on the minimum and maximum points from Khan Academy
- Read this overview of features of function graphs from MathBitsNotebook

- Topic Quiz (30 minutes)
- Vertex, Roots, and Forms of Quadratic Equations
- Don’t have full access to Albert assessments? Try this baseball practice problem from Illustrative Mathematics and these 10 practice problems from Albert

- CRQ Practice (15 minutes)
- Question 32 from the June 2019 Algebra 1 Regents
- Question 29 from the January 2018 Algebra 1 Regents
- Question 36 from the August 2017 Algebra 1 Regents

- Spiral Review

Return to the study guide calendar

### Day 18

- Domain: Functions
- Topic(s): Function Relationships
- Standard(s): HS.F.BF.1, HS.F.BF.1a
- Guiding Questions:
- Can you write a function that describes a relationship between quantities?
- Given a relationship between two quantities, can you determine an explicit expression, a recursive process, or steps for calculation from a context?

- Review (20 minutes)
- Watch this Khan Academy video on writing a linear equation from context
- Watch this Khan Academy video on constructing exponential models
- Read the sections called “Exponential Function Applications” and “Exponential Word Problems” in this article from SheLovesMath

- Skill Building (25 minutes)
- Complete this practice problem on writing functions from Illustrative Mathematics
- Complete this practice problem on lake algae from Illustrative Mathematics
- Practice these question from Albert on equations of functions (found in our Algebra 2 course, not part of free content)

- Spiral Review

Return to the study guide calendar

### Day 19

- Domain: Functions
- Topic(s): Function Transformations
- Standard(s): HS.F.BF.3
- Guiding Questions:
- Are you able to identify the effect on a transformed graph for specific k values?
- Can you identify whether a function is odd or even from its graph?
- Can you find the k value of a function given the original and transformed graphs?

- Review (30 minutes)
- Watch this video on the transformations of functions from Math and Science
- Watch this video on odd or even functions from Khan Academy
- Watch this video on finding the equation of a transformed graph from mathwithmrbarnes

- Topic Quiz
- Function Transformations
- Don’t have full access to Albert assessments? Try these 8 function transformation questions from PurpleMath

- Spiral Review
- Try these practice questions about average rate of change from MathBitsNotebook

Return to the study guide calendar

### Day 20

- Domain: Functions
- Topic(s): Linear vs Exponential Functions
- Standard(s): HS.F.LE.1, HS.F.LE.1a, HS.F.LE.1b, HS.F.LE.1c
- Guiding Questions:
- Can you recognize and explain when situations should be modeled by linear functions or with exponential functions?
- Can you prove that linear functions grow by equal differences over equal intervals?
- Can you prove that exponential functions grow by equal factors over equal intervals?
- Can you recognize relationships in which one quantity changes at a constant rate per unit interval related to another?
- Can you distinguish between situations showing exponential growth or decay?

- Review (25 minutes)
- Watch this video on linear and exponential functions from Sinclair Johnston
- Watch another video about linear and exponential functions from Khan Academy
- Read this article on exponential growth and decay from MathIsFun

- Flashcards (10 minutes)
- Make a few new flashcards based on the most important vocab and concepts from the Review activities (above)

- Topic Quiz (30 minutes)
- Exponential Growth and Decay
- Don’t have full access to Albert assessments? Try these sample questions from MathBitsNotebook

- CRQ Practice (10 minutes)
- Question 26 from the January 2019 Algebra 1 Regents
- Question 26 from the August 2017 Algebra 1 Regents

- Spiral Review
- Practice these questions on comparing functions from MathBitsNotebook

Return to the study guide calendar

### Day 21

- Domain: Functions
- Topic(s): Interpret Functions
- Standard(s): HS.F.LE.3, HS.F.LE.5
- Guiding Questions:
- Do you understand from graphs and tables that a quantity increasing exponentially will eventually exceed a quantity increasing linearly, quadratically, or a general polynomial function?
- Given a real-life context, can you interpret the parameters in a linear or exponential function?

- Review (20 minutes)
- Watch this video on solving exponential growth word problems from VirtualNerd
- Watch this video on solving exponential decay word problems from VirtualNerd

- Skill Building (25 minutes)
- Independently solve the Exit Ticket and Problem Set sections on this EngageNY lesson about linear and exponential models (check your work at the bottom of page)

- Spiral Review

Return to the study guide calendar

## Week 4

Ok. Week 4. It’s getting down to crunch time. You can feel extremely confident because you have a clear plan and are putting in the work to be successful. Turn on your intense study music playlist (or quiet calm if you prefer) and let’s get ready to rock the Regents!

This fourth week starts with jam-packed days on two new domains: Statistics & Probability and Number & Quantity. These two domains only make up about 10% to 15% of all questions on the Regents exam, so we only have a few study days devoted to them.

To keep you fresh on the most important topics, we’ll end the fourth week jumping back into the frequently-assessed Algebra domain.

### Day 22

- Domain: Statistics and Probability
- Topic(s): Interpret Linear Models
- Standard(s): HS.S.ID.7, HS.S.ID.8, HS.S.ID.9
- Guiding Questions:
- Can you interpret the slope (or rate of change) and the intercept of a linear model in the context of given data?
- Can you calculate (using technology) and interpret the correlation coefficient of a linear model?
- Can you distinguish between correlation and causation?

- Review (30 minutes)
- Watch this Khan Academy video on interpreting the slope of a regression line
- Watch this Khan Academy video about understanding correlation coefficient
- Watch this video on how to use your calculator to find the correlation coefficient from MathBootcamps
- Watch this video on correlation vs causation from DecisionSkills

- Skill Building (20 minutes)
- Level 1: Introduction to slope-intercept form (10 questions)

- CRQ Practice (25 minutes)
- Question 35 from the June 2019 Algebra 1 Regents
- Question 34 from the January 2018 Algebra 1 Regents
- Question 35 from the August 2019 Algebra 1 Regents
- Question 35 from the June 2019 Algebra 1 Regents
- Question 31 from the January 2018 Algebra 1 Regents

- Spiral Review
- Try these practice problems on transforming functions from MathBitsNotebook

Return to the study guide calendar

### Day 23

- Domain: Statistics and Probability
- Topic(s): Data Analysis
- Standard(s): HS.S.ID.1, HS.S.ID.2, HS.S.ID.3, HS.S.ID.5, HS.S.ID.6, HS.S.ID.6a
- Guiding Questions:
- Can you represent data with plots on the real number line including dot plots, histograms, and box plots?
- Can you use statistics appropriate to the shape of data to compare center and spread of data sets?
- Accounting for possible effects of extreme data points (outliers), can you interpret differences in shape, center, and spread in the context of data sets?
- Can you understand the structure and meaning of a two-way frequency table?
- Are you able to interpret relative frequencies in the context of the data?
- Can you recognize possible associations and trends in data?
- Can you summarize categorical data for two categories in a two-way frequency table?
- Can you represent quantitative data on a scatter plot and describe how the variables are related?
- Can you use functions (especially linear, quadratic, and exponential) fitted to data to solve problems in a real-world context?

- Review (25 minutes)
- Topic Quiz (50 minutes)
- Descriptive Statistics in Univariate Data (10 questions)
- Descriptive Statistics in Bivariate Data (10 questions)
- Don’t have full access to Albert assessments? Try these sample data analysis questions from MathBitsNotebook

- Spiral Review

Return to the study guide calendar

### Day 24

- Domain: Number & Quantity
- Topic(s): Units and Quantities
- Standard(s): HS.N.Q.1, HS.N.Q.2, HS.N.Q.3, HS.N.RN.3
- Guiding Questions:
- Do you understand how to use units to help guide the solutions of multi-step problems?
- Are you able to choose and interpret units consistently in formulas?
- Can you choose and interpret the scale and origin in graphs and data displays?
- Can you define appropriate quantities for descriptive modeling?
- Do you understand how to select a reasonable level of accuracy when reporting quantities?
- Can you find the sum and product of any combination of rational and irrational numbers?

- Review (15 minutes)
- Read this article about the sums and products of rational and irrational numbers from MathBitsNotebook
- Watch this Khan Academy video on interpreting units in formulas

- Topic Quiz (30 minutes)
- Exponents, Expressions, and Radicals
- Don’t have full access to Albert assessments? Try these fractional exponents questions from MathBitsNotebook

- CRQ Practice (15 minutes)
- Question 28 from the August 2018 Algebra 1 Regents
- Question 30 from the August 2019 Algebra 1 Regents
- Question 25 from the August 2017 Algebra 1 Regents

- Spiral Review
- Practice these exponential function questions on MathBitsNotebook

Return to the study guide calendar

### Day 25

- Domain: Algebra
- Topic(s): Zeros of a Function
- Standard(s): HS.A.SSE.3a, HS.A.APR.3
- Guiding Questions:
- Do you know what it means to find the “zeros” of a function?
- Can you factor a quadratic expression to find its zeros?
- Can you recognize a “difference of squares”?
- Do you understand the relationship between zeros and factors of a polynomial?
- Can you use zeros to sketch a rough graph of a function defined by a polynomial?

- Review (15 minutes):
- Watch the videos on finding zeros of polynomials from Khan Academy

- Skill Building (30 minutes):
- Level 1: Introduction to completing the square (10 questions)

- Spiral Review (optional):
- Level 1: Multiply with negatives (10 questions)
- Level 2: Divide with negatives (10 questions)

Return to the study guide calendar

### Day 26

- Domain: Algebra
- Topic(s): Quadratic Features
- Standard(s): HS.A.SSE.3, HS.A.SSE.3b
- Guiding Questions:
- Can you select and write an equivalent form of an expression that explains properties of the quantities represented?
- Can you complete the square of a quadratic to find its maximum or minimum value?

- Review (30 minutes):
- Read through this guide on the Vertex Form of Quadratic Functions from MathBitsNotebook
- Use this interactive proof of the process for completing the square from the National Council of Teachers of Mathematics

- Topic Quiz (30 minutes):
- Features of Quadratic Functions
- Don’t have full access to Albert assessments? Download the student version of this quadratic function lesson from EngageNY and complete the practice problems.

- Spiral Review (optional):
- Try out CRQ 25 from the August 2018 Algebra 1 Regents

Return to the study guide calendar

### Day 27

- Domain: Algebra
- Topic(s): Solve Quadratics
- Standard(s): HS.A.REI.4, HS.A.REI.4a, HS.A.REI.4b
- Guiding Questions:
- Can you recognize when the quadratic formula gives complex solutions and write them as a \pm bi?
- Can you use completing the square to transform any quadratic equation in x into an equation of the form (x-p)^2 =q?
- Can you use completing the square to derive the quadratic formula?
- Can you solve quadratic equations in one variable?
- Can you solve quadratic equations by inspection?”

- Flashcards (15 minutes):
- Choose all the vocabulary that relates to quadratic functions and practice with flashcards.

- CRQ Practice (30 minutes):
- Question 32 from the January 2019 Algebra 1 Regents
- Question 30 from the August 2018 Algebra 1 Regents
- Question 31 from the August 2019 Algebra 1 Regents
- Question 28 from the June 2019 Algebra 1 Regents
- Question 32 from the August 2017 Algebra 1 Regents

- Topic Quiz (30 minutes):
- Factor, Solve, and Graph Quadratic Equations
- Don’t have full access to Albert assessments? Download the student version of this quadratic equation lesson from EngageNY and complete the practice problems.

- Spiral Review (optional):
- Level 2: Advanced completing the square (10 questions)

Return to the study guide calendar

### Day 28

The Algebra 1 Regents exam is only 3 days away! Time to get down to business with another full length practice exam.

If you have full access to Albert…

- Take Regents Algebra 1 Practice Exam #2
- Read the explanations of the questions you missed and make of note of their standards

If you don’t have full access to Albert…

- Print out and take the official August 2018 Algebra 1 Regents
- Use the rating guide to grade your exam
- Circle every question that you missed
- Use the rating guide again to figure out the standard for each question you missed
- Write this information down — you’ll need it tomorrow!

Return to the study guide calendar

## Week 5

This final week only has 2 days in our study plan: one for review and one for rest. You have put in the hours and earned the right to feel confident going into test day. Let’s finish strong and stay positive!

### Day 29

T-2 days until your Algebra 1 Regents exam. Time for some strategic studying.

If you have full access to Albert…

- Pull up your list of challenging standards from yesterday
- Go to the Algebra 1 subject library
- Click on “Standards” and use the search function to find questions tagged with your target standards
- Practice at least 5 questions for every standard you listed

If you don’t have full access to Albert…

- Pull up your list of challenging standards from yesterday
- Search this study guide to find the days that address your standards
- Re-do the study activities for each of these days

Other study tips:

- Go through all of your flashcards from the month and make sure you know and understand the terms
- Re-read our guides on Algebra 1 Regents Study Tips and Things to Remember
- Take an additional practice exam
- Answer additional questions on Albert and pay special attention to the explanations

Return to the study guide calendar

### Day 30

Your 1-month Algebra 1 Regents study plan is coming to a close! Congratulations on all the effort you put into preparing yourself to excel on test day.

It’s important to give yourself a chance to rest and destress before tomorrow’s exam. Do something relaxing, like trying out a guided meditation or spending time outdoors. The time to cram is over.

## Algebra 1 Regents Study Guide Recap

The study guide above is a detailed, heavily-researched outline to guide you through a month of studying for the Algebra 1 Regents exam. Each day focused on a different topic that will be tested on the exam. From videos and articles to practice questions and quizzes, we have included activities to make sure you are as prepared as possible to pass the important test.

Please remember to look at our other Regents Algebra 1 resources, including this score calculator, our detailed guide on passing the Algebra 1 Regents exam, and these Algebra 1 Regents tips and tricks.

And finally, you can use Albert for all of your practice and assessment goals – including preparing for SAT®, ACT®, and AP® exams!

Check out our full subject library to see the breadth of what we offer.