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Quadratic Equations and Complex Numbers Test Review

Authored by Baylee Hibshman

Mathematics

9th - 12th Grade

CCSS covered

Used 112+ times

Quadratic Equations and Complex Numbers Test Review
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This quiz focuses on quadratic equations and complex numbers, representing advanced Algebra 2 content appropriate for grades 11-12. The assessment comprehensively covers multiple solution methods including factoring, the quadratic formula, solving by square roots, and completing the square. Students must demonstrate proficiency with complex number operations, understanding the imaginary unit i and its properties, and performing addition and multiplication of complex expressions. The quiz also requires students to analyze the discriminant to determine the nature and number of solutions for quadratic equations. This level of mathematical reasoning demands strong algebraic manipulation skills, conceptual understanding of the complex number system, and the ability to select appropriate solution strategies based on the form of the equation. Created by Baylee Hibshman, a Mathematics teacher in the US who teaches grades 9-12. This comprehensive assessment serves as an excellent test review tool, allowing students to practice all major concepts before a unit exam on quadratic equations and complex numbers. Teachers can implement this quiz for formative assessment to identify areas where students need additional support, or assign it as homework to reinforce classroom instruction. The variety of question types makes it suitable for differentiated practice, helping students build confidence with both computational skills and conceptual understanding. This quiz aligns with Common Core standards A-REI.4 (solving quadratic equations), A-APR.3 (polynomial identities and equations), and N-CN.1, N-CN.2, and N-CN.7 (complex number system operations and properties).

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18 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by factoring  x2+7x+12=0x^2+7x+12=0  

x=3,4

x=-3,-4

x=2,5

x=-2,-5

Tags

CCSS.HSA-REI.B.4B

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by factoring  x23x40=0x^2-3x-40=0  

x= -8, -5

x= 8, 5

x= 8, -5

x= -8, 5

Tags

CCSS.HSA-REI.B.4B

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve using the quadratic formula  m25m14=0m^2-5m-14=0  

x= 7, -2

x= -7, 2

x=  5±i312\frac{5\pm i\sqrt{31}}{2}  

x=  5±312\frac{-5\pm\sqrt{31}}{2}  

Tags

CCSS.HSA-REI.B.4B

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve using quadratic formula  4b2+8b+7=44b^2+8b+7=4  

 12,32\frac{1}{2},\frac{3}{2}  

 8±i488\frac{-8\pm i\sqrt{48}}{8}  

 8±4i38\frac{-8\pm4i\sqrt{3}}{8}  

 12, 32-\frac{1}{2},\ -\frac{3}{2}  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by square roots  (x5)2=81\left(x-5\right)^2=81  

 ±86\pm\sqrt{86}  

14, -4

 ±56\pm\sqrt{56}  

4, -14

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by square roots  (x+1)2=5\left(x+1\right)^2=5  

 1±5-1\pm\sqrt{5}  

 1±51\pm\sqrt{5}  

 ±2\pm2  

 ±6\pm\sqrt{6}  

Tags

CCSS.HSA-REI.B.4B

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve by completing the square  p2+14p38=0p^2+14p-38=0  

 ±94\pm\sqrt{94}  

 ±80\pm\sqrt{80}  

 7±38-7\pm\sqrt{38}  

 7±87-7\pm\sqrt{87}  

Tags

CCSS.HSA-REI.B.4B

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