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Complex Numbers Questions - All Grades

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Grade 10 Complex Numbers
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]
Grade 11 Complex Numbers CCSS: HSN-CN.B.5
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
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 expression [math]-25i^25 [/math].
  1. [math]-25[/math]
  2. [math]25[/math]
  3. [math]25i[/math]
  4. [math]-25i[/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
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
Expand and simplify [math](10-12i)(10+12i)[/math].
  1. [math]100-144i[/math]
  2. [math]244[/math]
  3. [math]244i^2[/math]
  4. [math]244i[/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 10 Complex Numbers
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
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
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
Expand and simplify: [math](10-7i)(10+7i)[/math].
  1. [math]149[/math]
  2. [math]-149i[/math]
  3. [math]100 - 49i[/math]
  4. [math]140i^2[/math]
Grade 10 Complex Numbers
Simplify. [math](1+2i)/ (2-3i)[/math]
  1. [math](8/7) + i[/math]
  2. [math](8/7) + (1/7)i[/math]
  3. [math]-4+7i[/math]
  4. [math]-(4/13) +(7/13) i[/math]
Grade 11 Complex Numbers
Grade 11 Complex Numbers
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers 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
Expand and simplify: [math](10-10i)(10+10i)[/math].
  1. [math]0[/math]
  2. [math]100-100i[/math]
  3. [math]200[/math]
  4. [math]-200i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers: [math]-6i(70-85i)[/math].
  1. [math]510+420i[/math]
  2. [math]510-420i[/math]
  3. [math]-510+420i[/math]
  4. [math]-510-420i[/math]
Grade 11 Complex Numbers
What is the conjugate of [math]-4-3i[/math]?
  1. [math]4+3i[/math]
  2. [math]-4+3i[/math]
  3. [math]-4-3i[/math]
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