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Operations on Complex Numbers (Grades 11-12)

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Operations on Complex Numbers

1. 
Find the sum of the complex numbers. [math]i + 6i[/math]
  1. [math]6i[/math]
  2. [math]-6[/math]
  3. [math]5i[/math]
  4. [math]5[/math]
  5. [math]7i[/math]
  6. [math]-7[/math]
2. 
Add the following complex numbers.
[math] (3+4i) + (-1+3i)[/math]
  1. [math]2 + 7i[/math]
  2. [math]4 + 7i[/math]
  3. [math]-15 + 5i[/math]
  4. [math]2 + i[/math]
3. 
Subtract the following complex numbers.
[math](-2+4i) - (5-3i)[/math]
  1. [math]-7 + i[/math]
  2. [math]3 + 7i[/math]
  3. [math]-3 + i[/math]
  4. [math]-7 + 7i[/math]
4. 
Perform the indicated operation.
[math](3-5i) - (-3 + 4i)[/math]
  1. [math]i[/math]
  2. [math]6-9i[/math]
  3. [math]6-i[/math]
  4. [math]-9i[/math]
5. 
Simplify the complex number expression [math]3i^4+5i^6[/math]. Show your answer in the correct complex number form.
  1. [math]2[/math]
  2. [math]-2[/math]
  3. [math]2i[/math]
  4. [math]-2i[/math]
6. 
Multiply and write the result in standard form.
[math]4i(3i - 2)[/math]
  1. [math]-12i-8[/math]
  2. [math]12+8i[/math]
  3. [math]-12-8i[/math]
  4. [math]12i+8[/math]
7. 
Find the product. [math](7 - 6i)(-8 + 3i)[/math]
  1. [math]-56 + 18i[/math]
  2. [math]-56 - 18i[/math]
  3. [math]-38 + 69i[/math]
  4. [math]-38 - 69i[/math]
  5. [math]29 + 11i[/math]
  6. [math]-29 + 11i[/math]
8. 
Divide and simplify the complex number expression.
[math]-5/(-5i)[/math]
  1. [math]-i[/math]
  2. [math]i[/math]
  3. [math]i^3[/math]
  4. [math]-i^3[/math]
9. 
Divide and simplify the complex number expression. [math](9i)/(-14+105i)[/math]
  1. [math]-135/1603-18/1603i[/math]
  2. [math]-135/1603+18/1603i[/math]
  3. [math]135/1603-18/1603i[/math]
  4. [math]135/1603+18/1603i[/math]
10. 
Divide and simplify the following complex number expression. [math](-5-9i)/(9+8i)[/math]
  1. [math]-117/145+41/145i[/math]
  2. [math]-117/145-41/145i[/math]
  3. [math]117/145+41/145i[/math]
  4. [math]117/145-41/145i[/math]
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