Download Name: Date: Integrated Algebra 2/Trigonometry Graphing Complex

Name:________________________
Integrated Algebra 2/Trigonometry
Graphing Complex Numbers HW
Date:___________________
1) In which quadrant would the sum of 3 – 2i and -7 + 9i lie?
2) In which quadrant would the sum of -6 + i and -2 - 10i lie?
3)
Fractal geometry uses the complex number plane to draw diagrams, such as the
one shown in the accompanying graph.
Which number is not included in the shaded area?
(1) –0.5i
(3) –0.9
(2) –0.5 – 0.5i
(4) –0.9 – 0.9i
4)
Two complex numbers are graphed below.
What is the sum of w and u, expressed in standard complex number form?
(1) 7 + 3i
(3) 5 + 7i
(2) 3 + 7i
(4) -5 + 3i
5)
When the sum of -4 + 8i and 2 - 9i is graphed, in which quadrant does it lie?
(1) I
(3) III
(2) II
(4) IV
6)
If z1  3  2i and z2  4  3i , in which quadrant does the graph of ( z2  z1 )
lie?
(1) I
(3) III
(2) II
(4) IV
7)
On a graph, if point A represents 2  3i and point B represents 2  5i, which
quadrant contains 3 A  2 B ?
(1) I
(3) III
(2) II
(4) IV
8)
On a stamp honoring the German mathematician Carl Gauss, several complex
numbers appear. The accompanying graph shows two of these numbers.
Express the sum of these numbers in a  bi form.
9)
10)
Find the sum of -2 + 3i and -1 - 2i.
Graph the resultant on the accompanying set of axes.
Graphically represent the sum of 3  4 i and 4 - 3i
11) Express in simplest a + bi form : ( -5 + 9i ) ( -6 – 7i)
12) Express in simplest a + bi form : ( -5 + 9i ) - ( -6 – 7i)
13) Express in simplest a + bi form : ( -5 + 9i ) + ( -6 – 7i)
14) Express in simplest a + bi form :
14) Express in simplest a + bi form :
15) Express the multiplicative inverse in simplest a + bi form :
16) Express the multiplicative inverse in simplest a + bi form :