Imaginary & Complex numbers

Calculate:
(4 − 7i) − (-3 + 6i)

• 7 − 13i
• 7 − i 
• 1 − 13i
• 1 − i 

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

What does i² =  ?

• 1
• -1
• √-1
• √1

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Calculate (multiply):
 (4 + 3i)(4 − 3i)

• 16 − 9i²
• 25
• 7
• 8 − 6i

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Find the conjugate of:

5 + 7i

• 5 − 7i

• -5 − 7i

• 5i - 7

• 5i + 7

Tags

CCSS.HSN.CN.A.3

Simplify (rationalize the denominator)

•  $\frac{-3i}{5}$  

•  $\frac{3i^2}{5i}$  

•  $\frac{-3i^2}{-5i}$  

•  $\frac{3i}{5i^2}$  

Simplify using the imaginary number  $i$  
 $\sqrt{-20}$  

•  $10i$  

•  $-10i$  

•  $2i\sqrt{5}$  

•  $-i\sqrt{20}$  

Tags

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.RN.A.2

Find the solutions to the equation:

2x² +23 = 5

• $x=3i$

• $x=\pm3i$

• $x=3$

• $x=\pm3$

Tags

CCSS.HSN.CN.C.7

CCSS.HSA-REI.B.4B

Which of the following characters does not appear on Spongebob?

• 
• 
• 
•