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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
What is the complex conjugate of [math]-7+15i?[/math]
  1. [math]-7-15i[/math]
  2. [math]-7+15i[/math]
  3. [math]7-15i[/math]
  4. [math]7+15i[/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 CCSS: HSN-CN.A.3
Divide. [math](4i) / (12i)[/math]
  1. [math]1/3[/math]
  2. [math] -1/3 i[/math]
  3. [math]-1/3[/math]
  4. [math]1-1/3i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide. [math](6-4i)/(-5+5i)[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide and simplify the following complex number expression. [math](-5-9i)/(9+8i)[/math]
  1. [math]-117/145+41/145i[/math]
  2. [math]-117/145-41/145i[/math]
  3. [math]117/145+41/145i[/math]
  4. [math]117/145-41/145i[/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.3
Evaluate. [math]3/(6i)[/math]
  1. [math]1/2 i[/math]
  2. [math]1+1/2 i[/math]
  3. [math]-1/2[/math]
  4. [math]-1/2 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers. [math](8-8i) / (2-2i)[/math]
  1. [math]"Undefined"[/math]
  2. [math]0[/math]
  3. [math]4[/math]
  4. [math]4-4i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
What is the modulus of [math]-4 + 7i ?[/math]
  1. [math]65[/math]
  2. [math]sqrt(65)[/math]
  3. [math]33[/math]
  4. [math]-3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. [math](9-3i) / (-6-3i)[/math]
  1. [math]0[/math]
  2. [math]-1+i[/math]
  3. [math]1-i[/math]
  4. [math]-5/3 + 5/3 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Given [math]z = 8 - 2i[/math], find [math]|z|[/math].
  1. [math]2 sqrt(17)[/math]
  2. [math]2 sqrt(15)[/math]
  3. [math]68[/math]
  4. [math]60[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. [math](4i)/(7-3i)[/math]
  1. [math]20/29 i[/math]
  2. [math]-3/10 + 7/10 i[/math]
  3. [math]1/7 - 4/3 i[/math]
  4. [math]-6/29 + 14/29 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
What is the complex conjugate of [math]-250+81i[/math]?
  1. [math]-250-81i[/math]
  2. [math]250-81i[/math]
  3. [math]-250+81i[/math]
  4. [math]250+81i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
If [math]z[/math] is a complex number, and [math]|z| = 5[/math], which of the following are possible values of [math]z ?[/math] Choose all correct answers.
  1. [math]z = 4 + i[/math]
  2. [math]z = 3 - 4i[/math]
  3. [math]z = 10 - 5i[/math]
  4. [math]z = 4 + 3i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide. [math](-10 + 3i)/(2-8i)[/math]
  1. [math]11/15 + 37/30 i[/math]
  2. [math]- 11/17 - 37/34 i[/math]
  3. [math]-5 - 3/8 i[/math]
  4. [math] 1/17 - 37/34 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Find the modulus of [math]-3i[/math].
  1. [math]-3[/math]
  2. [math]sqrt(3)[/math]
  3. [math]sqrt(-3)[/math]
  4. [math]3[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers. [math](-13+i) / (4+4i[/math]
  1. [math]"Undefined"[/math]
  2. [math]-13/4 + 1/4 i[/math]
  3. [math]- 3/2 + 7/4 i[/math]
  4. [math] -7/4 + 7/4 i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Which of the following are possible values of [math]z[/math], a complex number, if [math]|z| = sqrt(13) ? [/math] Choose all correct answers.
  1. [math]z = 2 - 3i[/math]
  2. [math]z = -3 - 2i[/math]
  3. [math]z = 2 + 3i[/math]
  4. [math]z = 2sqrt(3) + i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide. [math](5-2i)/(-3+4i)[/math]
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