Algebra II Complex Numbers Unit Test
Authored by Troy Nelson
Mathematics
11th Grade
CCSS covered
Used 55+ times
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This quiz comprehensively assesses Algebra II complex number operations and concepts, appropriate for 11th grade students. The questions systematically cover the fundamental building blocks of complex number arithmetic: addition, subtraction, multiplication, and division of complex numbers in standard form (a + bi). Students must demonstrate fluency with the imaginary unit i, including its definition as √(-1) and the ability to simplify square roots of negative numbers. The quiz requires mastery of complex conjugates and their applications in rationalizing denominators when dividing complex numbers. Higher-order thinking is assessed through quadratic equations that yield complex solutions, demanding students apply the quadratic formula and interpret discriminants that produce imaginary results. Students need solid algebraic manipulation skills, particularly with distributing binomials and combining like terms, while maintaining precision with positive and negative signs throughout multi-step calculations. Created by Troy Nelson, a Mathematics teacher in US who teaches grade 11. This comprehensive unit test serves as an excellent summative assessment tool to evaluate student mastery of complex number concepts before moving to advanced topics. The quiz functions effectively as a diagnostic pre-assessment to identify knowledge gaps, or as a review activity before state testing or AP preparation. Teachers can assign individual questions as targeted practice for specific skills, use sections as bell-ringers for daily warm-ups, or deploy the entire assessment as a take-home review packet. The varied question formats support differentiated instruction and accommodate multiple learning preferences. This assessment directly aligns with Common Core standards A-REI.4b for solving quadratic equations with complex solutions, A-APR.3 for identifying zeros of polynomials and their multiplicities, and N-CN.1 through N-CN.3 for understanding and performing operations with complex numbers, making it an invaluable resource for standards-based instruction and data-driven teaching decisions.
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28 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
i(2+5i)
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
(2+3i)(4-2i)
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Which of the following is equivalent to
(5-3i)+(-6+2i)?
-1-5i
-1-i
11-i
-30-6i
Tags
CCSS.HSN.CN.A.2
CCSS.HSN.CN.A.1
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following is equivalent to (3-5i)-(6+2i)
Tags
CCSS.HSA.APR.D.7
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify √-4
Tags
CCSS.HSN.CN.A.2
CCSS.HSN.CN.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Simplify √-81
Tags
CCSS.HSN.CN.A.2
CCSS.HSN.CN.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Simplify √-28
Tags
CCSS.HSN.CN.A.2
CCSS.HSN.RN.A.2
CCSS.HSN.CN.A.1
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