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Common Core Standard HSN-CN.A.2 Questions

Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

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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
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. [math]i^46[/math]
  1. [math]i^4[/math]
  2. [math]i^3[/math]
  3. [math]-1[/math]
  4. [math]1[/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.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Which of the following is equal to [math](3i +2)(3-i)[/math]?
  1. [math]3+7i[/math]
  2. [math]9i^2-2i[/math]
  3. [math]5+2i[/math]
  4. [math]9+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
Find the sum of the complex numbers. [math]i + 6i[/math]
  1. [math]6i[/math]
  2. [math]-6[/math]
  3. [math]5i[/math]
  4. [math]5[/math]
  5. [math]7i[/math]
  6. [math]-7[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the product. [math]4i(2 - 8i)[/math]
  1. [math]4i[/math]
  2. [math]0[/math]
  3. [math]-32 + 8i[/math]
  4. [math]32 + 8i[/math]
  5. [math]-4i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Find the product. [math]5i(-i)[/math]
  1. [math]-5[/math]
  2. [math]5[/math]
  3. [math]-5i[/math]
  4. [math]5i[/math]
  5. [math]1[/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.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
Add. [math](3-9i) + 4i[/math]
  1. [math]7-9i[/math]
  2. [math]3+13i[/math]
  3. [math]3-5i[/math]
  4. [math]3-13i[/math]
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