Free Algebra I & II Resources

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Free Quadratic Worksheets, Guides & Generators

Find practice for graphing, transformations, factoring, solving quadratic equations, word problems, and review. Every printable worksheet includes an answer key.

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16 printable worksheets · Answer keys included · 2 worksheet generators · One-page cheat sheet · No sign-up

Build your own worksheet

Choose the difficulty and problem types you want, then generate a new worksheet with an answer key.

Worksheet Generator

Factoring Quadratics Generator

Customize difficulty, factoring types, leading coefficients, signs, roots, and number of problems.

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Quadratic Transformations Generator

Create practice with shifts, reflections, stretches, compressions, vertex form, and graphs.

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Quadratics one-page cheat sheet

Keep the main forms, solving methods, graph features, transformations, and common mistakes on one page.

Quadratics cheat sheet covering graphing, equation forms, solving methods and word problems

Quick reference for the full unit

Standard, vertex, and intercept forms
Vertex, axis of symmetry, and intercepts
Factoring and completing the square
Quadratic formula and discriminant
Graph transformations and inequalities
Common word-problem models

Download Cheat Sheet PDF Open PNG

Not sure where to start?

New to quadratics

Start with the graph

Learn the parabola, vertex, intercepts, and axis of symmetry first.

Start graphing →

Need to solve

Start with factoring

Practice factoring equations that have clean integer solutions.

Practice factoring →

Preparing for a test

Use the spiral review

Review several quadratic skills in short mixed sets.

Open review →

Browse worksheets by topic

Pick the skill you need. You do not have to work through these resources in order.

Explore more algebra practice: Browse our polynomial worksheets for operations, factoring, division, and zeros, or explore our rational expressions worksheets to build on your factoring skills.

Graphing & transformations

Understand the shape and key features of a parabola.

Graphing Quadratic Functions Plot key points and sketch parabolas. Vertex & Axis of Symmetry Find the vertex and symmetry line. Quadratic Transformations Practice shifts, reflections, stretches, and compressions. Graphing Quadratic Inequalities Draw the boundary and shade the solution region. Compare Function Families Compare linear, quadratic, and exponential functions. Focus & Directrix Connect a parabola to its geometric definition.

Equation forms

Connect equations to vertices, intercepts, and graphs.

Vertex Form & Intercept Form Learn what each quadratic form reveals. Equation of a Parabola from a Graph Build an equation from visible graph features.

Solving quadratic equations

Practice the main solving methods and understand the roots.

Solving by Factoring Factor, use the zero-product property, and solve. Completing the Square Rewrite and solve using perfect-square form. Quadratic Formula Solve quadratic equations with a method that always works. Discriminant & Number of Roots Predict the number and type of solutions.

Applications & review

Apply quadratic skills in context and prepare for tests.

Quadratic Word Problems Build and solve equations from real situations. Rectangle Problems Use area and dimensions to form quadratic equations. Quadratics Error Analysis Find, explain, and correct common mistakes. Quadratics Spiral Review Mixed practice across the entire unit.

About these worksheets

These free Algebra I and Algebra II resources are written by Berke Sahbazoglu and are designed for classroom, tutoring, and home practice. Printable worksheets include answer keys.

Need help beyond the worksheets?

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