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# Complex Numbers (Grades 11-12)

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## Complex Numbers

1.
To write a complex number in standard form, the real number part proceeds the imaginary number part.
1. True
2. False
2.
Simplify the complex number radical expression $sqrt(-75)$.
1. $-5sqrt3$
2. $5sqrt3$
3. $-5isqrt3$
4. $5isqrt3$
3.
Perform the operation for the complex number radical expression $sqrt(-64)+sqrt(-36)$.
1. $-14i$
2. $14i$
3. $14$
4. $-14$
4.
Expand and simplify. $(10-10i)(10+10i)$
1. $0$
2. $100-100i$
3. $200$
4. $-200i$
5.
Multiply $6+5i$ by its conjugate.
1. $61$
2. $61i$
3. $36+22i+25i^2$
4. $82i^3$
6.
The point $5+7i$ is in which quadrant?
1. $I$
2. $II$
3. $III$
4. $IV$
7.
Simplify the complex number expression $-25i^25$.
1. $-25$
2. $25$
3. $25i$
4. $-25i$
8.
Simplify the imaginary unit in the following expression. $i^25+i^17$
1. $sqrt(-1)$
2. $2i$
3. $-2i$
4. $-1$
9.
Expand and simplify. $(10-7i)(10+7i)$
1. $149$
2. $-149i$
3. $100 - 49i$
4. $140i^2$
10.
Add or Subtract the complex number expression: $(12+8i)-(11-4i)$.
This is not the FOIL method. Write your answer in the correct complex number form.

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