New York Algebra 1 Worksheets and Regents Reference Sheet

Looking for the Regents Algebra 1 formula or reference sheet?

Use NYSED’s official Next Generation Algebra I reference sheet. NYSED identifies this sheet for examinations starting June 2024. Keep it beside you when practicing so you learn where the supplied formulas are.

For a full exam rather than a single-skill worksheet, use the official Algebra I past examinations and scoring materials. Check the date and title of the paper you choose. Use the matching scoring key and rating guide to review written work.

Choose a printable worksheet by topic

Start with a skill you need to review, such as two-step equations, slope, factoring, or quadratic equations. The links below open individual PDFs. Length and problem counts vary: the sampled two-step equations sheet has 26 questions across three pages, while the sampled personal financial literacy sheet has 34 questions across five pages. Those examples include a Quick Review, practice, answer keys, and tutor notes; check the file you select for its own contents.

For exam priorities, compare your teacher’s plan with NYSED’s Algebra I Educator Guide. A worksheet’s title or printed standard label alone does not establish that every question matches the assessed scope.

Foundations of Algebra

• Variables, Expressions, and Properties
• Order of Operations and Evaluating Expressions
• Simplifying Algebraic Expressions
• Introduction to Equations and Solutions
• Personal Financial Literacy

Solving Linear Equations

• Solving One-Step Equations
• Solving Two-Step Equations
• Solving Multi-Step Equations
• Equations with Variables on Both Sides
• Literal Equations and Formulas

Inequalities and Absolute Value

• Solving One-Step Inequalities
• Solving Multi-Step Inequalities
• Compound Inequalities
• Absolute Value Equations

Relations, Functions, and Sequences

• Relations and Functions
• Function Notation and Evaluating Functions
• Domain and Range
• Graphing Functions and Transformations
• Arithmetic Sequences as Linear Functions
• Geometric Sequences
• Comparing Functions
• Piecewise Functions
• Combining Functions
• Inverse Functions

Linear Functions and Their Graphs

• Slope and Rate of Change
• Slope-Intercept Form
• Point-Slope Form
• Standard Form of a Linear Equation
• Writing Linear Equations from Graphs and Tables
• Parallel and Perpendicular Lines
• Inverse Variation
• Understanding Graphs as Solution Sets

Systems of Equations and Inequalities

• Applications of Systems of Equations
• Systems of Linear Inequalities
• Solving Linear-Quadratic Systems

Exponents, Polynomials, and Real Numbers

• Properties of Exponents
• Adding and Subtracting Polynomials
• Multiplying Polynomials
• Special Products of Polynomials
• Rational and Irrational Numbers

Factoring

• Greatest Common Factor and GCF Factoring
• Factoring Trinomials: \(x^2 + bx + c\)
• Factoring Trinomials: \(ax^2 + bx + c\)
• Factoring Special Products

Quadratic Functions and Equations

• Graphing Quadratic Functions
• Characteristics of Quadratic Functions
• Solving Quadratics by Factoring
• Solving Quadratics by Completing the Square
• Solving Quadratics by Square Roots
• The Discriminant
• The Quadratic Formula
• Quadratic Applications and Modeling

Statistics and Probability

• Measures of Center and Spread
• Scatter Plots and Correlation
• Lines of Best Fit and Predictions
• Counting Principles
• Probability
• Two-Way Frequency Tables

Exponential Functions and Modeling

• Graphing Exponential Functions
• Comparing Linear, Quadratic, and Exponential Models
• Exponential Growth
• Interpreting Functions and Parameters

More Topics

• Absolute Value Inequalities
• Direct Variation
• Displaying Data with Box Plots
• Displaying Data with Histograms
• Exponential Decay
• Graphing Cube Root Functions
• Graphing Square Root Functions

How to choose and review a worksheet

If multi-step equations feel difficult, practice two-step equations first. Review slope before slope-intercept form, and factoring before solving quadratics by factoring. Choose the prerequisite that explains your mistake instead of restarting the entire collection.

1. Open one topic PDF and read its review section.
2. Work a manageable group of problems without the key.
3. Compare your steps with the answers or notes in that file. Redo missed problems on clean paper.
4. Then try a matching question from an official Regents paper. Use its rating guide to check whether your explanation earns credit.

For step-by-step lessons and more review choices, visit the free Algebra 1 Online Center or the wider Algebra 1 worksheet collection. These resources support practice; they do not predict an exam score.