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# Common Core Standard HSN-CN.A.2 Questions

Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

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Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the following complex numbers.
$(-2+4i) - (5-3i)$
1. $-7 + i$
2. $3 + 7i$
3. $-3 + i$
4. $-7 + 7i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. $i^46$
1. $i^4$
2. $i^3$
3. $-1$
4. $1$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
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
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Which of the following is equal to $(3i +2)(3-i)$?
1. $3+7i$
2. $9i^2-2i$
3. $5+2i$
4. $9+7i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add. $(5-2i) + 3i$
1. $11$
2. $6 + 15i$
3. $5 + i$
4. $5 - 5i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
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.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the product. $4i(2 - 8i)$
1. $4i$
2. $0$
3. $-32 + 8i$
4. $32 + 8i$
5. $-4i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the product. $5i(-i)$
1. $-5$
2. $5$
3. $-5i$
4. $5i$
5. $1$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. $i^13$
1. $i$
2. $-i$
3. $1$
4. $-1$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the product. $(7 - 6i)(-8 + 3i)$
1. $-56 + 18i$
2. $-56 - 18i$
3. $-38 + 69i$
4. $-38 - 69i$
5. $29 + 11i$
6. $-29 + 11i$
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.2
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