Free Printable WorksheetMathAlgebra IIMath CurriculumN-CN.3

ALG2.24 Complex Numbers on the Complex Plane Worksheet

Download our free printable Algebra II Math worksheet on ALG2.24 Complex Numbers on the Complex Plane. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Complex Numbers on the Complex Plane Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Algebra II Math worksheet provides structured practice on ALG2.24 Complex Numbers on the Complex Plane. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

ALG2.24 Complex Numbers on the Complex Plane - Plot complex numbers on the complex plane and select the correct interpretation of absolute value (modulus) as distance from the origin. Associated source-listed standards: CCSS N-CN.3; CA CCSSM N-CN.3; MA 2017 N-CN.3; NY NGLS N-CN.3; TX TEKS Algebra II: §111.40.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Algebra II

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related ALG2.24 Complex Numbers on the Complex Plane skill assessments:

Problem 1Difficulty: Mastery
Let z = x + yi satisfy x = y - 4 and |z| = 20. If z is in Quadrant I, what is z?
A16 + 12i
B-12 - 16i
C-16 + 12i
D12 + 16i
Solution & Explanation:Substitute x = y - 4 into x2 + y2 = 400. The solutions are (12, 16) and (-16, -12), and Quadrant I gives z = 12 + 16i.
Problem 2Difficulty: Mastery
A point on the complex plane is 8 units from the origin and has equal real and imaginary parts. If it is in Quadrant III, what is the complex number?
A4*sqrt(2) + 4*sqrt(2)i
B-4*sqrt(2) + 4*sqrt(2)i
C-4*sqrt(2) - 4*sqrt(2)i
D4*sqrt(2) - 4*sqrt(2)i
Solution & Explanation:Equal real and imaginary parts mean the coordinates are x and x. Then 2x2 = 64, so x = +/-4*sqrt(2). Quadrant III needs both coordinates negative.
Problem 3Difficulty: Mastery
Which point on |z| = 25 is farther from the imaginary axis: (-7, 24) or (-24, 7)?
A(-7, 24)
B(-24, 7)
CThey are the same distance from the imaginary axis.
DNeither point lies on ∣z∣ = 25.
Solution & Explanation:Distance from the imaginary axis equals the absolute value of the real coordinate. Since |-24| > |-7|, (-24, 7) is farther from the imaginary axis.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this ALG2.24 Complex Numbers on the Complex Plane worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this ALG2.24 Complex Numbers on the Complex Plane worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice ALG2.24 Complex Numbers on the Complex Plane online with instant feedback?

Yes! In addition to this printable worksheet, students can practice ALG2.24 Complex Numbers on the Complex Plane interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Algebra II Math students. It aligns with educational standard N-CN.3 (Plot complex numbers on the complex plane and select the correct interpretation of absolute value (modulus) as distance from the origin. Associated source-listed standards: CCSS N-CN.3; CA CCSSM N-CN.3; MA 2017 N-CN.3; NY NGLS N-CN.3; TX TEKS Algebra II: §111.40.).

Related Algebra II Math Resources

Continue learning with complementary skill worksheets and online practice