Complex Numbers Worksheet | Algebra 2 | CCSS Aligned

This Algebra 2 Complex Numbers Worksheet provides targeted, standards-aligned practice on one of the most essential topics in second-year algebra. Covering all the fundamentals—imaginary unit operations, simplifying expressions, performing arithmetic with complex numbers, and applying conjugates—this resource is ideal for skill-building, review, or assessment prep.

The worksheet is organized for both clarity and rigor, with five structured sections and a warm-up to build prerequisite understanding. It includes 10 problems per section (50 total), an editable format, and a complete answer key for easy grading or class discussion.

Standards Alignment:

This resource is aligned to the following Common Core State Standards (CCSS) for High School Number and Quantity – Complex Numbers:

• HSN.CN.A.1 – Know there is a complex number i such that i² = -1, and every complex number has the form a + bi.
• HSN.CN.A.2 – Use the properties of operations to add, subtract, and multiply complex numbers.

What’s Included:

Warm-Up: Key Terms & Review (5 Questions)

• Definitions: complex number, imaginary unit, conjugate, real part, imaginary part
• Pre-requisite review questions to activate prior knowledge

Part A: Powers of i (10 Questions)

• Simplify expressions like i², i⁷, i¹², etc.

Part B: Simplifying Complex Numbers (10 Questions)

• Evaluate square roots of negative numbers and express answers using i

Part C: Operations with Complex Numbers (10 Questions)

• Addition, subtraction, multiplication, and binomial expansions in a + bi form

Part D: Conjugates and Division (10 Questions)

• Use complex conjugates to simplify products and rationalize denominators

Part E: Mixed Practice and Quadratic Applications (10 Questions)

• Solve quadratic equations with imaginary solutions and analyze complex number forms

Answer Key

• Complete, clearly written solutions for all problems

Editable File Format

• Provided in a fully editable format so you can customize content, adjust difficulty, or modify for classroom differentiation

Why You’ll Love This Resource:

• Fully aligned to HSN.CN.A.1 and HSN.CN.A.2
• Saves valuable prep time
• Great for in-class work, homework, assessments, or reteaching
• High-quality formatting for easy printing and student use
• Editable for complete flexibility in your lesson planning

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