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