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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 12 Complex Numbers CCSS: HSN-CN.A.2
[math](4i)^2[/math]
  1. [math]16i[/math]
  2. [math]4[/math]
  3. [math]16[/math]
  4. [math]8i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify [math]i^206[/math].
  1. [math]-1[/math]
  2. [math]sqrt-1[/math]
  3. [math]1[/math]
  4. [math]-i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt-96[/math].
  1. [math]-4isqrt6[/math]
  2. [math]4sqrt6[/math]
  3. [math]4isqrt6[/math]
  4. [math]-4sqrt6[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate the complex number expression [math](15i^40)^3[/math].
  1. [math]3375[/math]
  2. [math]-3375[/math]
  3. [math]3375i[/math]
  4. [math]-3375i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt-75[/math].
  1. [math]-5sqrt3[/math]
  2. [math]5sqrt3[/math]
  3. [math]-5isqrt3[/math]
  4. [math]5isqrt3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt-1000[/math]?
  1. [math]10isqrt10[/math]
  2. [math]-10isqrt10[/math]
  3. [math]10sqrt10[/math]
  4. [math]-10sqrt10[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt-160[/math].
  1. [math]-4isqrt10[/math]
  2. [math]-4sqrt10[/math]
  3. [math]4isqrt10[/math]
  4. [math]4sqrt10[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate the complex expression [math]i^1400[/math].
  1. [math]-1[/math]
  2. [math]1[/math]
  3. [math]sqrt-1[/math]
  4. [math]-i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add and simplify the complex number expression: [math]-60i^60 -70i^180[/math].
  1. [math]130[/math]
  2. [math]-130[/math]
  3. [math]130i[/math]
  4. [math]-130i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the imaginary unit in the following expression: [math]i^25+i^17 =[/math]
  1. [math]sqrt-1[/math]
  2. [math]2i[/math]
  3. [math]-2i[/math]
  4. [math]-1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the imaginary unit [math](i)[/math] in the following expression: [math](-3+2i)(-6-8i)[/math]
  1. [math]-34-12i[/math]
  2. [math]34+12i[/math]
  3. [math]34-12i[/math]
  4. [math]-34+12i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression [math]sqrt-350[/math]
  1. [math]-5sqrt14[/math]
  2. [math]-5isqrt14[/math]
  3. [math]5isqrt14[/math]
  4. [math]5sqrt14[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the operation for the complex number radical expression [math]sqrt-64+sqrt-36[/math].
  1. [math]-14i[/math]
  2. [math]14i[/math]
  3. [math]14[/math]
  4. [math]-14[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is the complex conjugate [math]20-6i[/math]?
  1. [math]20-6i[/math]
  2. [math]-20+6i[/math]
  3. [math]20+6i[/math]
  4. [math]-20-6i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Divide and simplify the complex number expression: [math](9i)/(-14+105i)[/math].
  1. [math]-135/1603-18/1603i[/math]
  2. [math]-135/1603+18/1603i[/math]
  3. [math]135/1603-18/1603i[/math]
  4. [math]135/1603+18/1603i[/math]
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