Complex Numbers Exam Review

Simplify  $\sqrt{-1}^{31}$  

•  $i$  

•  $-i$  

• 1

• -1

Given the complex number  $-23+5i$  , what is the real part and what is the imaginary part

• Real: -23 and Imaginary: 5

• Real: 23 and Imaginary: -5

• Real: 5 and Imaginary: 23

• Real: -5 and Imaginary: 23

Tags

CCSS.HSN.CN.A.1

Reduce  $\sqrt{-50}$  

•  $5i\sqrt{2}$  

•  $-5\sqrt{2}$  

•  $\sqrt{-50}$  

•  $50i$  

Simplify  $\left(6-4i\right)+\left(-3+5i\right)$  

•  $3+i$  

•  $9+i$  

•  $3-9i$  

•  $9-9i$  

Simplify $(-6-4i)-(-10-10i)$  

•  $4+6i$  

•  $-16-14i$  

•  $-16+4i$  

•  $4-14i$  

Simplify $\left(3+2i\right)\cdot\left(-4+2i\right)$  

•  $-16-2i$  

•  $-12+6i-8i+4i^2$  

•  $-8-2i$  

•  $12-2i+4i^2$  

Simplify $\frac{\left(-2+6i\right)}{\left(4+2i\right)}$  

•  $\frac{\left(-2+6i\right)}{12}$  

•  $\frac{\left(-20+20i\right)}{20}$  

•  $\frac{\left(4+28i\right)}{20}$  

•  $\frac{-8+20i+12i^2}{16+16i+4i^2}$  

Simplify $\sqrt{16-30i}$ 

•  $\pm\left(5-3i\right)$  

•  $\pm\left(5+3i\right)$  

•  $\left(5+3i\right)\ or\ \left(5-3i\right)$  

•  $\left(-5+3i\right)\ or\ \left(-5-3i\right)$  

What complex number does this graph represent?

• $-2+3i$

• $2+3i$

• $3+2i$

• $3-2i$

What is r and $\theta$  in this graph?

• r=4 and  $\theta=120$  

• r=3 and  $\theta=60$  

•  $r=30$  and  $\theta=4$  

•  $r=120$  and  $\theta=3$