2.4 Complex Numbers and Operations

2.4 Complex Numbers and Operations

9th - 11th Grade

9 Qs

quiz-placeholder

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2.4 Complex Numbers and Operations

2.4 Complex Numbers and Operations

Assessment

Quiz

Mathematics

9th - 11th Grade

Medium

CCSS
HSA-REI.B.4B, HSN.CN.C.8, HSN.CN.A.3

+3

Standards-aligned

Created by

Tyler Sheridan

Used 15+ times

FREE Resource

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Use square roots to solve the equation

 x2=64x^2=-64  over the complex numbers

 ±4i\pm4i   

 ±8i\pm8i  

 ±64\pm64  

 88  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the difference of

 (5+3i) and (2+9i)?\left(5+3i\right)\ and\ \left(2+9i\right)?  

 7+12i7+12i  

 3+6i3+6i  

 36i3-6i  

 7+6i7+6i  

Tags

CCSS.HSN.CN.A.2

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify 

 (2+7i)(27i)\left(2+7i\right)\left(2-7i\right)  

 449i4-49i  

 5353  

 414i24-14i^2  

 53+14i53+14i  

Tags

CCSS.HSN.CN.C.8

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify (fully!)

 135i\frac{13}{5-i}  

no solution

 5±i2\frac{5\pm i}{2}  

 65+13i26\frac{65+13i}{26}  

 5+i2\frac{5+i}{2}  

Tags

CCSS.HSN.CN.A.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve by factoring

 9x2+64=09x^2+64=0  

 ±83i\pm\frac{8}{3}i  

 ±83\pm\frac{8}{3}  

 ±643\pm\frac{64}{3}  

 ±38i\pm\frac{3}{8}i  

Tags

CCSS.HSA-REI.B.4B

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the complex conjugate of

 5+9i?5+9i?  

 5+9i-5+9i  

 5+9i5+9i  

 59i5-9i  

 59i-5-9i  

Tags

CCSS.HSN.CN.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify

 84\sqrt{84}  

 2212\sqrt{21}  

 4214\sqrt{21}  

 221\sqrt{2\cdot21}  

 2i212i\sqrt{21}  

8.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify

 (4+6i)(33i)\left(4+6i\right)\left(3-3i\right)  

 5+i5+i  

 3030  

 30+6i30+6i  

 306i30-6i  

Tags

CCSS.HSN.CN.C.8

9.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor

 2x2982x^2-98  

 (2x+7)(2x7)\left(2x+7\right)\left(2x-7\right)  

 2(x+7i)(x7i)2\left(x+7i\right)\left(x-7i\right)  

 (2x+7i)(2x7i)\left(2x+7i\right)\left(2x-7i\right)  

 2(x+7)(x7)2\left(x+7\right)\left(x-7\right)  

Tags

CCSS.HSA.APR.C.4