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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. [math](8 + 4i) - 6i[/math]
  1. [math]8 + 2i[/math]
  2. [math]8 - 2i[/math]
  3. [math]-8-2i[/math]
  4. [math]8 + 10i[/math]
Grade 10 Complex Numbers CCSS: HSN-CN.A.2
If [math]i^2=-1[/math], then what is the value of [math]i^32[/math]?
  1. [math]-1[/math]
  2. [math]1[/math]
  3. [math]-i[/math]
  4. [math]i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the complex numbers. [math]3i - (-5 + 3i)[/math]
  1. [math]5[/math]
  2. [math]-5 - 6i[/math]
  3. [math]5 + 6i[/math]
  4. [math]-5[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is [math]i^202 ?[/math]
  1. [math]i[/math]
  2. [math]-1[/math]
  3. [math]-i[/math]
  4. [math]1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate. [math](5 - 6i) - (-3 + 9i)[/math]
  1. [math]2 + 3i[/math]
  2. [math]2 - 3i[/math]
  3. [math]8 - 15i[/math]
  4. [math]8 + 3i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify completely. [math]i^16[/math]
  1. [math]1[/math]
  2. [math]-i[/math]
  3. [math]-1[/math]
  4. [math]i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is [math]i^48[/math]?
  1. [math]i[/math]
  2. [math]-1[/math]
  3. [math]-i[/math]
  4. [math]1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply the complex numbers. Leave in the form [math]a+bi[/math].

[math](8 - 2i) (3i)[/math]
  1. [math]24 - 6i[/math]
  2. [math]-6 + 24i[/math]
  3. [math]6 + 24i[/math]
  4. [math]24 + 6i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. [math]i^39[/math]
  1. [math]i^3[/math]
  2. [math]i^9[/math]
  3. [math]-i[/math]
  4. [math]-1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and write the result in standard form.
[math]4i(3i - 2)[/math]
  1. [math]-12i-8[/math]
  2. [math]12+8i[/math]
  3. [math]-12-8i[/math]
  4. [math]12i+8[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify: [math]8i^6+6i^5-5i^3-3i^2-7i-9[/math]
  1. [math]-14+4i[/math]
  2. [math]-4+4i[/math]
  3. [math]-10i[/math]
  4. [math]-14-18i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression for [math]sqrt {:-441[/math].
  1. [math]-21[/math]
  2. [math]21[/math]
  3. [math]21i[/math]
  4. [math]-21i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the indicated operation and write the answer in standard form.

[math](3-4i)^2[/math]
  1. [math]-7-24i[/math]
  2. [math]25[/math]
  3. [math]9-16i[/math]
  4. [math]25-24i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate fully.
[math](8-3i)(3+2i)[/math]
  1. [math]30-7i[/math]
  2. [math]18-25i[/math]
  3. [math]-6i^2+7i+24[/math]
  4. [math]30+7i[/math]
Grade 10 Complex Numbers CCSS: HSN-CN.A.2
Write [math](3 + 2i) - (4 - 3i)[/math] in standard form.
  1. [math]- 1 +5i[/math]
  2. [math]-1 - i[/math]
  3. [math]7 - i[/math]
  4. [math]7 + 5i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. [math]i^26[/math]
  1. [math]i^2[/math]
  2. [math]i[/math]
  3. [math]1[/math]
  4. [math]-1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add the following complex numbers.
[math] (3+4i) + (-1+3i)[/math]
  1. [math]2 + 7i[/math]
  2. [math]4 + 7i[/math]
  3. [math]-15 + 5i[/math]
  4. [math]2 + i[/math]
Grade 10 Complex Numbers CCSS: HSN-CN.A.2
Simplify problem to discover product of [math](2 - i)(4 + 5i)[/math] in standard form.
  1. [math]13 - 6i[/math]
  2. [math]8 + i[/math]
  3. [math]3 + 6i[/math]
  4. [math]13 + 6i[/math]
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