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# Eleventh Grade (Grade 11) Complex Numbers Questions

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Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add the complex numbers. $(-3+7i) + (3 - i)$
1. $6i$
2. $6 + 8i$
3. $-6 + 6i$
4. $6 + 6i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the complex numbers. $3i - (-5 + 3i)$
1. $5$
2. $-5 - 6i$
3. $5 + 6i$
4. $-5$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Write the expression as a complex number in standard form.

$(3 - 5i)(1 + 3i)$
1. $3 - 15i$
2. $-2i + 4i$
3. $18 + 4i$
4. $15 - 2i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate. $(5 - 6i) - (-3 + 9i)$
1. $2 + 3i$
2. $2 - 3i$
3. $8 - 15i$
4. $8 + 3i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers. $(-13+i) / (4+4i$
1. $"Undefined"$
2. $-13/4 + 1/4 i$
3. $- 3/2 + 7/4 i$
4. $-7/4 + 7/4 i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply the complex numbers. Leave in the form $a+bi$.

$(8 - 2i) (3i)$
1. $24 - 6i$
2. $-6 + 24i$
3. $6 + 24i$
4. $24 + 6i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers. $(8-8i) / (2-2i)$
1. $"Undefined"$
2. $0$
3. $4$
4. $4-4i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers.

$(3 + 2i)/(8 - i)$
1. $22/65 + 19/65 i$
2. $3/8 - 2i$
3. $22/63 + 9/63 i$
4. $-13/8$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. $(9-3i) / (-6-3i)$
1. $0$
2. $-1+i$
3. $1-i$
4. $-5/3 + 5/3 i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add. $(3-9i) + 4i$
1. $7-9i$
2. $3+13i$
3. $3-5i$
4. $3-13i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. $(4 + 2i) / (1-2i)$
1. $4-i$
2. $2i$
3. $3$
4. $-(10i)/3$
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
What is the polar form of the complex number $-5 ?$
1. $-5 \ (cos180° + i sin180°)$
2. $5 \ (cos0° + i sin0°)$
3. $5 \ (cos180° + isin180°)$
4. $"This is not a complex number."$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the sum of the complex numbers. $i + 6i$
1. $6i$
2. $-6$
3. $5i$
4. $5$
5. $7i$
6. $-7$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. $3/(6i)$
1. $1/2 i$
2. $1+1/2 i$
3. $-1/2$
4. $-1/2 i$
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor $x^4-1$.
1. $(x^2+1)(x+1)(x+i)$
2. $(x+1)(x-1)(x+1+i)(x-1-i)$
3. $(x+1)(x-1)(x+i)(x-i)$
4. $(x+1)(x-1)(x+sqrt(2)i)(x-sqrt(2)i)$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers. $-6i(70-85i)$
1. $510+420i$
2. $510-420i$
3. $-510+420i$
4. $-510-420i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide. $(4i) / (12i)$
1. $1/3$
2. $-1/3 i$
3. $-1/3$
4. $1-1/3i$
Grade 11 Complex Numbers
For each expression, select the most specific categorization possible.
 Real Imaginary Complex $e^3 + pi$ $3i^2 + i$ $8i + 2i$ $-4^2$ $sqrt(-1) + sqrt(1)$ $(3i)^3$
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
If $x - 3/2 + 3/2sqrt(3) \ i$ is a factor of $x^3 + 27$, which of the following are also factors of this polynomial?
1. $x - 3$
2. $x + 3/2 - 3/2 sqrt(3)$
3. $x - 3/2 - 3/2 sqrt(3) \ i$
4. $x + 3/2 - 3/2 sqrt(3) \ i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
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