Complex Numbers

 $3+3i+8-2i-7$  

(a)  

Tags

CCSS.HSN.CN.A.2

Simplify

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

• -2 + 6i

• 12 + 6i

• -35 - 16i²

• -35 - 16i

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

What does i² = ?

• -1
• √-1
• 1
• -√1

Tags

CCSS.HSN.CN.A.2

CCSS.HSN.CN.A.1

Simplify:

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

• 58 - 45i

• 58 - 15i

• -38 - 15i

• -38 + 45i

Tags

CCSS.HSA.APR.A.1

Simplify: 
(7 + 2i)(9 - 6i)

• 75-24i
• 63 - 24i  - 12i²
• 51 - 24i
• 58 + 60i

Tags

CCSS.HSA.APR.A.1

Simplify

• $\frac{-10+6i}{17}$

• $\frac{1+10i}{61}$

• $\frac{10-6i}{17}$

• $\frac{-21+33i}{34}$

Tags

CCSS.HSA.APR.A.1

 $\left(-6i\right)\left(-6-2i\right)+\left(3i\right)\left(8+4i\right)$  

•  $-24+75i$  
  

•  $-12+72i$  
  

•  $12i$  
  

•  $-24+60i$  

Tags

CCSS.HSA.APR.A.1

Multiply

 (-3 + 2i)(1- 4i)

•  $-2-2i$ 

•  $5+14i$  

•  $-11-10i$  

•  $-3-8i$ 

Tags

CCSS.HSA.APR.A.1

What is the simplified form of (8 -3i)²?

• 73

• 16 - 6i

• 55 + 48i

• 55 - 48i

Tags

CCSS.HSN.CN.A.2

Divide
 $\frac{3i}{2+i}$  

•  $\frac{3-9i}{5}$ 

•  $\frac{3+6i}{5}$  

•  $\frac{-3+6i}{5}$ 

•  $\frac{3+6i}{2}$ 

Tags

CCSS.HSA.APR.D.6