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Complex Numbers Questions - All Grades

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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]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the following complex numbers.
[math](-2+4i) - (5-3i)[/math]
  1. [math]-7 + i[/math]
  2. [math]3 + 7i[/math]
  3. [math]-3 + i[/math]
  4. [math]-7 + 7i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add. [math] (5-2i) + 3i[/math]
  1. [math]11[/math]
  2. [math]6 + 15i[/math]
  3. [math]5 + i[/math]
  4. [math]5 - 5i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. [math] i^13[/math]
  1. [math]i[/math]
  2. [math]-i[/math]
  3. [math]1[/math]
  4. [math]-1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
What is the complex conjugate of [math]3 + 4i ? [/math]
  1. [math]-3 - 4i[/math]
  2. [math]-3+4i[/math]
  3. [math]4i + 3[/math]
  4. [math]3-4i[/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
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 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 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the indicated operation.
[math](3-5i) - (-3 + 4i)[/math]
  1. [math]i[/math]
  2. [math]6-9i[/math]
  3. [math]6-i[/math]
  4. [math]-9i[/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
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]-i[/math] by its conjugate.
  1. [math]-1[/math]
  2. [math]1[/math]
  3. [math]1-i[/math]
  4. No conjugate exists
Grade 11 Complex Numbers
Simplify. [math](2-i)/(-3+6i)[/math]
  1. [math]-4/9-1/3i[/math]
  2. [math]-4/15-1/3i[/math]
  3. [math]-4/15-1/5i[/math]
  4. [math]-1/5i[/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
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
Simplify the radical: [math]sqrt(-50)[/math]
  1. [math]10isqrt2[/math]
  2. [math]-10isqrt2[/math]
  3. [math]-5isqrt2[/math]
  4. [math]5isqrt2[/math]
  5. can not be done
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