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# Complex Numbers Questions - All Grades

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Add. $(5-2i) + 3i$
1. $11$
2. $6 + 15i$
3. $5 + i$
4. $5 - 5i$
$(3+4i) + (-1+3i)$
1. $2 + 7i$
2. $4 + 7i$
3. $-15 + 5i$
4. $2 + i$
Subtract the following complex numbers.
$(-2+4i) - (5-3i)$
1. $-7 + i$
2. $3 + 7i$
3. $-3 + i$
4. $-7 + 7i$
Simplify problem to discover product of $(2 - i)(4 + 5i)$ in standard form.
1. $13 - 6i$
2. $8 + i$
3. $3 + 6i$
4. $13 + 6i$
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt(-96)$.
1. $-4isqrt6$
2. $4sqrt6$
3. $4isqrt6$
4. $-4sqrt6$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt(-75)$.
1. $-5sqrt3$
2. $5sqrt3$
3. $-5isqrt3$
4. $5isqrt3$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number expression $-25i^25$.
1. $-25$
2. $25$
3. $25i$
4. $-25i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt(-160)$.
1. $-4isqrt10$
2. $-4sqrt10$
3. $4isqrt10$
4. $4sqrt10$
Multiply $-i$ by its conjugate.
1. $-1$
2. $1$
3. $1-i$
4. No conjugate exists
Perform the indicated operation.
$(3-5i) - (-3 + 4i)$
1. $i$
2. $6-9i$
3. $6-i$
4. $-9i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the operation for the complex number radical expression $sqrt(-64)+sqrt(-36)$.
1. $-14i$
2. $14i$
3. $14$
4. $-14$
Simplify. $(2-i)/(-3+6i)$
1. $-4/9-1/3i$
2. $-4/15-1/3i$
3. $-4/15-1/5i$
4. $-1/5i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt(-1000)$?
1. $10isqrt10$
2. $-10isqrt10$
3. $10sqrt10$
4. $-10sqrt10$
If $i^2=-1$, then what is the value of $i^32$?
1. $-1$
2. $1$
3. $-i$
4. $i$
Expand and simplify $(10-12i)(10+12i)$.
1. $100-144i$
2. $244$
3. $244i^2$
4. $244i$
Simplify the imaginary unit in the following expression: $i^25+i^17$.
1. $sqrt(-1)$
2. $2i$
3. $-2i$
4. $-1$