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Complex Numbers Questions - All Grades

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Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add the complex numbers. (-3+7i)+(3-i)
  1. 6i
  2. 6+8i
  3. -6+6i
  4. 6+6i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the complex numbers. 3i-(-5+3i)
  1. 5
  2. -5-6i
  3. 5+6i
  4. -5
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
Evaluate. (5-6i)-(-3+9i)
  1. 2+3i
  2. 2-3i
  3. 8-15i
  4. 8+3i
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
Divide the complex numbers. 8-8i2-2i
  1. Undefined
  2. 0
  3. 4
  4. 4-4i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply the complex numbers. Leave in the form a+bi.

(8-2i)(3i)
  1. 24-6i
  2. -6+24i
  3. 6+24i
  4. 24+6i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide the complex numbers.

3+2i8-i
  1. 2265+1965i
  2. 38-2i
  3. 2263+963i
  4. -138
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. 9-3i-6-3i
  1. 0
  2. -1+i
  3. 1-i
  4. -53+53i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add. (3-9i)+4i
  1. 7-9i
  2. 3+13i
  3. 3-5i
  4. 3-13i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. 4+2i1-2i
  1. 4-i
  2. 2i
  3. 3
  4. -10i3
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the sum of the complex numbers. i+6i
  1. 6i
  2. -6
  3. 5i
  4. 5
  5. 7i
  6. -7
Grade 11 Complex Numbers CCSS: HSN-CN.B.4
What is the polar form of the complex number -5?
  1. -5 (cos180°+isin180°)
  2. 5 (cos0°+isin0°)
  3. 5 (cos180°+isin180°)
  4. This is not a complex number.
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Divide. 4i12i
  1. 13
  2. -13i
  3. -13
  4. 1-13i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and simplify the complex numbers. -6i(70-85i)
  1. 510+420i
  2. 510-420i
  3. -510+420i
  4. -510-420i
Grade 11 Complex Numbers CCSS: HSN-CN.A.3
Evaluate. 36i
  1. 12i
  2. 1+12i
  3. -12
  4. -12i
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
Factor x4-1.
  1. (x2+1)(x+1)(x+i)
  2. (x+1)(x-1)(x+1+i)(x-1-i)
  3. (x+1)(x-1)(x+i)(x-i)
  4. (x+1)(x-1)(x+√2i)(x-√2i)
Grade 10 Complex Numbers CCSS: HSN-CN.A.2
Simplify problem to discover product of (2-i)(4+5i) in standard form.
  1. 13-6i
  2. 8+i
  3. 3+6i
  4. 13+6i
Grade 11 Complex Numbers CCSS: HSN-CN.C.8
If x-32+32√3 i is a factor of x3+27, which of the following are also factors of this polynomial?
  1. x-3
  2. x+32-32√3
  3. x-32-32√3 i
  4. x+32-32√3 i
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