Solving Quadratic Equations – 60 Problem Worksheet

Looking for a rigorous, ready-to-use worksheet that gives your Algebra 2 students comprehensive practice with solving quadratic equations? This Solving Quadratic Equations – 60 Problem Worksheet provides structured, skill-based practice aligned to Common Core Standards HSA.REI.B.4, HSA.REI.B.4.A, and HSA.REI.B.4.B.

Designed for maximum flexibility, the entire worksheet is 100% editable, allowing you to customize content to meet your students’ needs—whether for in-class instruction, independent practice, or homework. An organized, complete answer key is included.

What’s Included:

• Warm-Up: Key Terms & Pre-Skills Review
  A review of foundational vocabulary and prerequisite concepts such as square roots, factoring, and basic quadratic structure.
• Part B: Solving by Factoring (10 problems)
  Includes simple and complex trinomials, special product forms, and factoring with a GCF.
• Part C: Solving by Square Roots (10 problems)
  Pure quadratic equations, square root method, and cases with imaginary solutions.
• Part D: Completing the Square (10 problems)
  Gradual progression from basic to advanced problems, including cases requiring coefficient adjustments.
• Part E: Solving with the Quadratic Formula (10 problems)
  Students apply the formula to find real and complex roots across diverse equations.
• Part F: Discriminant and Nature of Solutions (10 problems)
  Focuses on calculating the discriminant and classifying the solutions as rational, irrational, or complex.
• Answer Key
  Clearly formatted and ideal for grading, classroom display, or student self-checking.

Standards Alignment:

This resource supports the following Common Core State Standards for Algebra:

• HSA.REI.B.4 – Solve quadratic equations in one variable
• HSA.REI.B.4.A – Use completing the square to derive the quadratic formula
• HSA.REI.B.4.B – Solve quadratics using appropriate methods and recognize complex solutions

Additional Features:

• Fully editable in Microsoft Word and Google Docs
• Easily adaptable for differentiation, assessments, or intervention
• Great for test prep, homework, review, sub plans, or skills reinforcement
• Supports unit pacing in Algebra 2 Chapter 3: Quadratic Equations and Complex Numbers

With 60 problems covering all major solution techniques—factoring, square roots, completing the square, and the quadratic formula—this resource gives your students the depth of practice they need to master quadratic equations.

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!