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Complex Numbers Questions - All Grades

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Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor [math]x^2+16[/math]
  1. [math]sqrt16i[/math]
  2. [math](x-4i)(x+4i)[/math]
  3. [math]+-sqrt4[/math]
  4. [math](x+2i)(x-2i)[/math]
Grade 12 Complex Numbers CCSS: HSN-CN.B.5
[math](6+5i)-(-2+i)[/math]
  1. [math]4+4i[/math]
  2. [math]8+4i[/math]
  3. [math]10i[/math]
  4. [math]12i[/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 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 12 Complex Numbers CCSS: HSN-CN.C.8
Factor [math]x^2+12[/math]
  1. [math]2sqrt3i[/math]
  2. [math](x-4i)(x+4i)[/math]
  3. [math]+-sqrt12[/math]
  4. [math](x+2sqrt3i)(x-2sqrt3i)[/math]
Grade 10 Complex Numbers
Do the math. 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 12 Complex Numbers CCSS: HSN-CN.C.8
Factor [math]x^2+64[/math]
  1. [math](x+8i)(x-8i)[/math]
  2. [math](x-8)(x+8)[/math]
  3. [math]+-sqrt64[/math]
  4. [math](x+64i)(x-64i)[/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 10 Complex Numbers
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 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]
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