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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
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.2
Simplify. i39
  1. i3
  2. i9
  3. -i
  4. -1
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Multiply and write the result in standard form.
4i(3i-2)
  1. -12i-8
  2. 12+8i
  3. -12-8i
  4. 12i+8
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify: 8i6+6i5-5i3-3i2-7i-9
  1. -14+4i
  2. -4+4i
  3. -10i
  4. -14-18i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add. 3i+(-5+2i)
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number radical expression for √-441.
  1. -21
  2. 21
  3. 21i
  4. -21i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Perform the indicated operation and write the answer in standard form.

(3-4i)2
  1. -7-24i
  2. 25
  3. 9-16i
  4. 25-24i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate fully.
(8-3i)(3+2i)
  1. 30-7i
  2. 18-25i
  3. -6i2+7i+24
  4. 30+7i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Add. (17-i)+(-2-14i)
Grade 12 Complex Numbers CCSS: HSN-CN.A.2
(6+5i)-(-2+i)
  1. 4+4i
  2. 8+4i
  3. 10i
  4. 12i
Grade 12 Complex Numbers CCSS: HSN-CN.A.2
(4i)2
  1. 16i
  2. 4
  3. -16
  4. 8i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Expand and simplify. (10-12i)(10+12i)
  1. 100-144i
  2. 244
  3. 244i2
  4. 244i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Expand and simplify. (10-7i)(10+7i)
  1. 149
  2. -149i
  3. 100-49i
  4. 140i2
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify the complex number expression -25i25.
  1. -25
  2. 25
  3. 25i
  4. -25i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Expand and simplify. (10-10i)(10+10i)
  1. 0
  2. 100-100i
  3. 200
  4. -200i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Simplify. i206
  1. -1
  2. √-1
  3. 1
  4. -i
Grade 11 Complex Numbers CCSS: HSN-CN.A.2
Evaluate the complex number expression (15i40)3.
  1. 3375
  2. -3375
  3. 3375i
  4. -3375i
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
After expanding (10-15i)(10+15i), what will the imaginary part be?
  1. 150i
  2. 300i
  3. -300i
  4. 0
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