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# Understanding Complex Numbers (Grades 11-12)

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## Understanding Complex Numbers

1.
Simplify the complex number radical expression $sqrt(-75)$.
1. $-5sqrt3$
2. $5sqrt3$
3. $-5isqrt3$
4. $5isqrt3$
2.
The complex number $1+i$ is in which quadrant?
1. $I$
2. $II$
3. $III$
4. $IV$
3.
The complex number $2-5i$ is in which quadrant?
1. $I$
2. $II$
3. $III$
4. $IV$
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?
1. $2+4i$
2. $4+2i$
3. $2-4i$
4. $3+2i$
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 $7 - 6i$?
1. A
2. B
3. C
4. D
6.
Add and simplify the complex number expression. $-60i^60 -70i^180$
1. $130$
2. $-130$
3. $130i$
4. $-130i$
7.
Simplify: $8i^6+6i^5-5i^3-3i^2-7i-9$
1. $-14+4i$
2. $-4+4i$
3. $-10i$
4. $-14-18i$
8.
Which of the following is equal to $(3i +2)(3-i)$?
1. $3+7i$
2. $9i^2-2i$
3. $5+2i$
4. $9+7i$
9.
Perform the indicated operation and write the answer in standard form.

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