2-4: Operations with Complex Numbers

What does i² equal?

• -1

• √-1

• 1

• -i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

What is $i^{37}$ ?

• i

• -i

• 1

• -1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

If 10+3i plus a+bi equals 8i, what are the possible values of a and b?

• 10-3i

• 5i

• -10+5i

• -10-3i

Tags

CCSS.HSA.REI.B.3

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

(5 - 2i) + (-7 + 8i)

• -2+6i

• 12+6i

• -35-16i²

• -35 -16i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify:

(10+ 15i) - (48 - 30i)

• $58-45i$

• $58-15i$

• $-38-15i$
  

• $-38+45i$

Tags

CCSS.HSN.CN.A.2

(10 + 3i) - (2 - 9i)

• 20 - 27i

• 12 - 7i

• 8 + 12i

• 20 - 27i²

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

(i)(3i)

• -3i

• -3

• 3

• 2i

Tags

CCSS.HSN.CN.A.2

Simplify:
-3i(4 + 2i)

• 6 - 12i
• 6 + 12i
• -12i - 6i²
• -12i + 6i²

Tags

CCSS.HSN.CN.A.2

Simplify:

(4 – 3i)(7 + 2i)

• $22-13i$

• $28-19i$
  

• $34-13i$
  

• $-34-29i$
  

Tags

CCSS.HSN.CN.A.2

(7 - 5i)(7 + 5i)

• 74
• 24
• 49 - 25i
• 49 + 25i

Tags

CCSS.HSN.CN.C.8