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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
What does [math] i^45[/math] equal?
  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
Evaluate. [math]3i + (-4+2i)[/math]
  1. [math]-4+5i[/math]
  2. [math]4+5i[/math]
  3. [math]-4+i[/math]
  4. [math]4+i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Math CCSS: HSN-CN.A.2
Simplify the complex number expression: [math]-11i(3+9i) =[/math]
  1. [math]-99-33i[/math]
  2. [math]99-33i[/math]
  3. [math]-99+33i[/math]
  4. [math]99+33i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract. [math](-3 + 2i) - (-4 - 8i)[/math]
  1. [math]-7 - 6i[/math]
  2. [math]1 + 10i[/math]
  3. [math]1 - 6i[/math]
  4. [math]7+ 10i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add the complex numbers. [math](-3+7i) + (3 - i)[/math]
  1. [math]6i[/math]
  2. [math]6 + 8i[/math]
  3. [math]-6 + 6i[/math]
  4. [math]6 + 6i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract. [math](8 + 4i) - 6i[/math]
  1. [math]8 + 2i[/math]
  2. [math]8 - 2i[/math]
  3. [math]-8-2i[/math]
  4. [math]8 + 10i[/math]
Grade 10 Complex Numbers CCSS: HSN-CN.A.2
If [math]i^2=-1[/math], then what is the value of [math]i^32[/math]?
  1. [math]-1[/math]
  2. [math]1[/math]
  3. [math]-i[/math]
  4. [math]i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Subtract the complex numbers. [math]3i - (-5 + 3i)[/math]
  1. [math]5[/math]
  2. [math]-5 - 6i[/math]
  3. [math]5 + 6i[/math]
  4. [math]-5[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is [math]i^202 ?[/math]
  1. [math]i[/math]
  2. [math]-1[/math]
  3. [math]-i[/math]
  4. [math]1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate. [math](5 - 6i) - (-3 + 9i)[/math]
  1. [math]2 + 3i[/math]
  2. [math]2 - 3i[/math]
  3. [math]8 - 15i[/math]
  4. [math]8 + 3i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify completely. [math]i^16[/math]
  1. [math]1[/math]
  2. [math]-i[/math]
  3. [math]-1[/math]
  4. [math]i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
What is [math]i^48[/math]?
  1. [math]i[/math]
  2. [math]-1[/math]
  3. [math]-i[/math]
  4. [math]1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply the complex numbers. Leave in the form [math]a+bi[/math].

[math](8 - 2i) (3i)[/math]
  1. [math]24 - 6i[/math]
  2. [math]-6 + 24i[/math]
  3. [math]6 + 24i[/math]
  4. [math]24 + 6i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. [math]i^39[/math]
  1. [math]i^3[/math]
  2. [math]i^9[/math]
  3. [math]-i[/math]
  4. [math]-1[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and write the result in standard form.
[math]4i(3i - 2)[/math]
  1. [math]-12i-8[/math]
  2. [math]12+8i[/math]
  3. [math]-12-8i[/math]
  4. [math]12i+8[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify: [math]8i^6+6i^5-5i^3-3i^2-7i-9[/math]
  1. [math]-14+4i[/math]
  2. [math]-4+4i[/math]
  3. [math]-10i[/math]
  4. [math]-14-18i[/math]
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
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