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Understanding Complex Numbers (Grades 11-12)

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Understanding Complex Numbers

1. 
Simplify the complex number radical expression [math]sqrt(-75)[/math].
  1. [math]-5sqrt3[/math]
  2. [math]5sqrt3[/math]
  3. [math]-5isqrt3[/math]
  4. [math]5isqrt3[/math]
2. 
The complex number [math]1+i[/math] is in which quadrant?
  1. [math]I[/math]
  2. [math]II[/math]
  3. [math]III[/math]
  4. [math]IV[/math]
3. 
The complex number [math]2-5i[/math] is in which quadrant?
  1. [math]I[/math]
  2. [math]II[/math]
  3. [math]III[/math]
  4. [math]IV[/math]
4. 
Assuming the x-axis represents the real axis and the y-axis represents the imaginary axis, what is the value of the complex number represented by C?
Coordinate Plane - 5x5 - With Dots
  1. [math]2+4i[/math]
  2. [math]4+2i[/math]
  3. [math]2-4i[/math]
  4. [math]3+2i[/math]
5. 
Assuming that the x-axis is the real axis and the y-axis is the imaginary axis, what letter graphically represents the complex number [math]7 - 6i[/math]?
Coordinate Plane - 10x10 - With Dots
  1. A
  2. B
  3. C
  4. D
6. 
Add and simplify the complex number expression. [math]-60i^60 -70i^180[/math]
  1. [math]130[/math]
  2. [math]-130[/math]
  3. [math]130i[/math]
  4. [math]-130i[/math]
7. 
Simplify: [math]8i^6+6i^5-5i^3-3i^2-7i-9[/math]
  1. [math]-14+4i[/math]
  2. [math]-4+4i[/math]
  3. [math]-10i[/math]
  4. [math]-14-18i[/math]
8. 
Which of the following is equal to [math](3i +2)(3-i)[/math]?
  1. [math]3+7i[/math]
  2. [math]9i^2-2i[/math]
  3. [math]5+2i[/math]
  4. [math]9+7i[/math]
9. 
Perform the indicated operation and write the answer in standard form.

[math](3-4i)^2[/math]
  1. [math]-7-24i[/math]
  2. [math]25[/math]
  3. [math]9-16i[/math]
  4. [math]25-24i[/math]
10. 
Find the quotient. [math](8i)/(-1 +3i)[/math]
  1. [math](12-4i)/5[/math]
  2. [math](-12 + 4i)/-5[/math]
  3. [math](-1 + 8i)/3[/math]
  4. [math](1 + 8i)/-3[/math]
  5. [math]5i[/math]
  6. [math]-5i[/math]

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