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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
What does $i^45$ equal?
1. $i$
2. $-i$
3. $1$
4. $-1$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate. $3i + (-4+2i)$
1. $-4+5i$
2. $4+5i$
3. $-4+i$
4. $4+i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number expression: $-11i(3+9i) =$
1. $-99-33i$
2. $99-33i$
3. $-99+33i$
4. $99+33i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract. $(-3 + 2i) - (-4 - 8i)$
1. $-7 - 6i$
2. $1 + 10i$
3. $1 - 6i$
4. $7+ 10i$
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
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract. $(8 + 4i) - 6i$
1. $8 + 2i$
2. $8 - 2i$
3. $-8-2i$
4. $8 + 10i$
Grade 10 Complex Numbers CCSS: HSN-CN.A.2
If $i^2=-1$, then what is the value of $i^32$?
1. $-1$
2. $1$
3. $-i$
4. $i$
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
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is $i^202 ?$
1. $i$
2. $-1$
3. $-i$
4. $1$
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.2
Simplify completely. $i^16$
1. $1$
2. $-i$
3. $-1$
4. $i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is $i^48$?
1. $i$
2. $-1$
3. $-i$
4. $1$
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.2
Simplify. $i^39$
1. $i^3$
2. $i^9$
3. $-i$
4. $-1$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and write the result in standard form.
$4i(3i - 2)$
1. $-12i-8$
2. $12+8i$
3. $-12-8i$
4. $12i+8$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify: $8i^6+6i^5-5i^3-3i^2-7i-9$
1. $-14+4i$
2. $-4+4i$
3. $-10i$
4. $-14-18i$
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
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