4-8 Lesson Quiz 4-8 Solve It!

4-8 Solve It!
Here is a partially-completed multiplication table.
If you know that
One of a, b, c,
and d acts like an
identity element.
a ? a 5 a2 5 b, a ? b 5 a ? a2 5 a3 5 c,
a
a4 5 d, and a5 5 a,
b
how would you complete the table? What is a99?
Explain your reasoning.
a
b
b
c
c
d
c
4-8 Lesson Quiz
1. Do you UNDERSTAND? How do you write !220 using the
imaginary unit i?
2. What are the graph and absolute value of 2 1 2i?
3. What is the sum (7 1 2i) 1 (5 2 3i)?
4. What is the product (22 1 5i)(21 1 4i)?
7 1 4i
5. What is the quotient 2 2 3i ?
6. What are the solutions of 2x2 1 18 5 0?
7. Find the solutions of 6x2 1 4x 5 211.
Answers
Solve It!
Lesson Quiz
O
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
d
a
b
c
3. 12 2 i
4. 218 2 13i
1. 2i !5
2. 2!2
Imaginary axis
2
a99 5 c; 99 4 4 5 24 with a
remainder of 3, and a3 5 c.
O
29
2
5. 13 1 13i
6. 43i
(2 2i)
2
4
1
real axis
6
7. 23 4
i !62
6
Prentice Hall Algebra 2 • Solve It/Lesson Quiz on Transparencies
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