Free Printable 4.6 Activity

1.

Add/Subtract using the proper rules:
(7 + 2i) - (-12 - 4i)

a)

-5 - 2i

b)

19 - 2i

c)

-5 + 6i

d)

19 + 6i

2.

What is the simplified form of (11 - 7i) - (-3 + 12i)

a)

8 - 19i

b)

8 + 5i

c)

13- 19i

d)

14 -19i

3.

Find the sum.
(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

4.

Simplify. Write your answer in the form $a+bi$ .

$\left(-3+2i\right)\left(1+5i\right)$

a)

$-2+7i$

b)

$-13-13i$

c)

$-3+10i^2$

d)

$7+13i$

5.

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

a)

$6-12i$

b)

$6+12i$

c)

$-12i-6i^2$

d)

$-12i+6i^2$

6.

Simplify:\ \left(2+3i\right)\left(2-3i\right)

a)

$4-9i$

b)

$13$

c)

$4+6i+9i^2$

d)

$13+6i$

7.

What is the conjugate you would multiply by?

a)

5+2i

b)

5-2i

c)

-5-2i

d)

-5+2i

8.

Simplify

a)

b)

c)

d)

9.

Simplify $\frac{5}{-1-9i}$

a)

$\frac{-2+18i}{41}$

b)

$\frac{-5+45i}{82}$

c)

$\frac{-5+45i}{86}$

d)

$\frac{-2+9i}{17}$

10.

Simplify $\frac{10-10i}{2+2i}$

a)

$\frac{30-70i}{29}$

b)

$5-5i$

c)

$\frac{1-i}{4}$

d)

$-5i$

4.6 Activity

Total questions: 10

Worksheet time: 54mins

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