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Eleventh Grade (Grade 11) Complex Numbers Questions

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Grade 11 Complex Numbers CCSS: HSN-CN.A.1
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.1
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
Write the expression as a complex number in standard form.

(3 - 5i)(1 + 3i)
  1. 3 - 15i
  2. -2i + 4i
  3. 18 + 4i
  4. 15 - 2i
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
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
Simplify the complex number expression [math]3i^4+5i^6[/math]. Show your answer in the correct complex number form.
  1. [math]2[/math]
  2. [math]-2[/math]
  3. [math]2i[/math]
  4. [math]-2i[/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 11 Complex Numbers CCSS: HSN-CN.A.3
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.1
Simplify the radical. [math]sqrt(-9)[/math]
  1. [math]3i[/math]
  2. [math]-3i[/math]
  3. [math]9i[/math]
  4. [math]-9i[/math]
  5. [math]3isqrt3[/math]
  6. [math]-3isqrt3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
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.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 11 Complex Numbers CCSS: HSN-CN.A.2
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
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
Find the product. [math](7 - 6i)(-8 + 3i)[/math]
  1. [math]-56 + 18i[/math]
  2. [math]-56 - 18i[/math]
  3. [math]-38 + 69i[/math]
  4. [math]-38 - 69i[/math]
  5. [math]29 + 11i[/math]
  6. [math]-29 + 11i[/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
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.C.7, HSA-REI.B.4, HSA-REI.B.4b
Solve: [math]x^2+64=0[/math]
  1. [math] x = -64, 64[/math]
  2. [math]x = -8i, 8i[/math]
  3. [math] x = -64i, 64i[/math]
  4. [math]x = -8, 8[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.1
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]
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