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Eleventh Grade (Grade 11) Complex Numbers Questions

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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.1
What is [math]sqrt800 + sqrt(-50)[/math]
  1. [math]20sqrt2+25i[/math]
  2. [math]sqrt800+50i [/math]
  3. [math]20sqrt2 +5isqrt2[/math]
  4. [math]25isqrt2[/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-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
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.3
Multiply [math]5-12i[/math] by its conjugate.
  1. [math]169i[/math]
  2. [math]169[/math]
  3. [math]25+34i+144i^2[/math]
  4. [math]203i^3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.C.7
Use the FOIL method to solve this problem: [math](10-15i)(10+15i)=[/math]. What is the last (L) term?
  1. [math]-225i[/math]
  2. [math]-225i^2[/math]
  3. [math]225i^2[/math]
  4. [math]225i[/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
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]
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.C.7
Use the FOIL method to solve this problem[math](10-15i)(10+15i) =[/math]. What is the outer (O) term?
  1. [math]150i[/math]
  2. [math]-150i[/math]
  3. [math]100[/math]
  4. [math]225[/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
Multiply and solve the following complex number expression: [math](-16+30i)^2[/math]
  1. [math]-644+960i[/math]
  2. [math]644+960i[/math]
  3. [math]-644-960i[/math]
  4. [math]644-960i[/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
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]
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