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Common Core Standard HSN-CN.A.3 Questions

(+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

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Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers. -13+i4+4i
  1. Undefined
  2. -134+14i
  3. -32+74i
  4. -74+74i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Which of the following are possible values of z, a complex number, if |z|=√13? Choose all correct answers.
  1. z=2-3i
  2. z=-3-2i
  3. z=2+3i
  4. z=2√3+i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide. 5-2i-3+4i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Multiply 5-12i by its conjugate.
  1. 169i
  2. 169
  3. 25+34i+144i2
  4. 203i3
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Multiply 1-1i by its conjugate.
  1. 1i
  2. 1
  3. 2
  4. 2i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Multiply 2-10i by its conjugate.
  1. 24
  2. 102i
  3. 104
  4. 4-24i+100i2
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
What is the complex conjugate of 20-6i?
  1. 20-6i
  2. -20+6i
  3. 20+6i
  4. -20-6i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide and simplify the complex number expression. 9i-14+105i
  1. -1351603-181603i
  2. -1351603+181603i
  3. 1351603-181603i
  4. 1351603+181603i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Multiply 6+5i by its conjugate.
  1. 61
  2. 61i
  3. 36+22i+25i2
  4. 82i3
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Multiply 4+6i by its conjugate.
  1. 16+12i+36i2
  2. 52i
  3. 52
  4. 16+36i
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