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# Complex Numbers Questions - All Grades

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Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor $x^2+16$
1. $sqrt16i$
2. $(x-4i)(x+4i)$
3. $+-sqrt4$
4. $(x+2i)(x-2i)$
Grade 12 Complex Numbers CCSS: HSN-CN.B.5
$(6+5i)-(-2+i)$
1. $4+4i$
2. $8+4i$
3. $10i$
4. $12i$
Grade 12 Complex Numbers CCSS: HSN-CN.A.2
$(4i)^2$
1. $16i$
2. $4$
3. $-16$
4. $8i$
Do the math. 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.A.2
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor $x^2+12$
1. $2sqrt3i$
2. $(x-4i)(x+4i)$
3. $+-sqrt12$
4. $(x+2sqrt3i)(x-2sqrt3i)$
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 12 Complex Numbers CCSS: HSN-CN.C.8
Factor $x^2+64$
1. $(x+8i)(x-8i)$
2. $(x-8)(x+8)$
3. $+-sqrt64$
4. $(x+64i)(x-64i)$
Write $(3 + 2i) - (4 - 3i)$ in standard form.
1. $- 1 +5i$
2. $-1 - i$
3. $7 - i$
4. $7 + 5i$
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
Multiply and simplify the imaginary unit $(i)$ in the following expression: $(-3+2i)(-6-8i)$
1. $-34-12i$
2. $34+12i$
3. $34-12i$
4. $-34+12i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-160$.
1. $-4isqrt10$
2. $-4sqrt10$
3. $4isqrt10$
4. $4sqrt10$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate the complex number expression $(15i^40)^3$.
1. $3375$
2. $-3375$
3. $3375i$
4. $-3375i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
What is $sqrt800 + sqrt(-50)$
1. $20sqrt2+25i$
2. $sqrt800+50i$
3. $20sqrt2 +5isqrt2$
4. $25isqrt2$
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. $-14$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Multiply $5-12i$ by its conjugate.
1. $169i$
2. $169$
3. $25+34i+144i^2$
4. $203i^3$
Grade 11 Complex Numbers CCSS: HSN-CN.C.7
Use the FOIL method to solve this problem: $(10-15i)(10+15i)=$. What is the last (L) term?
1. $-225i$
2. $-225i^2$
3. $225i^2$
4. $225i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression $sqrt-350$
1. $-5sqrt14$
2. $-5isqrt14$
3. $5isqrt14$
4. $5sqrt14$
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