Download Algebra 2 Practice Test for Unit 3 Name: Part I: Multiple Choice 49

Algebra 2
Practice Test for Unit 3
Part I: Multiple Choice
1. If
(1) I
(2) II
and
Name:
, in which quadrant does
lie?
(3) III
(4) IV
2. What is the sum of −6 +  49 and 2 −  81 expressed in a + bi form?
(1) -4 – 2i
(3) 1  12i
(2) 1  i 20
(4) 14  i
3. The expression i100  i101  i102 equals
(1) 1
(3) -i
(2) -l
(4) i
4. What is the complex conjugate of 2  3i ?
(1)  2  3i
(3) 2  3i
(2)  2  3i
(4) 2  3i
5.
6.
Part II: Short-Response. Show all work!
7. Melissa and Joe are playing a game with complex numbers. If Melissa has a score of
10 – 2i and Joe has a score of 6 + 4i, what is their total score?
8. Subtract 2   64 from  3   9 and express the result in a + bi form
9.
10. Express
 50  6.2  49  3  32 in simplest a + bi form.
11. The complex number c  di is equal to (
12. Given the complex numbers
accompanying set of axes.
) . What is the value of c?
and
. Find
and graph the result on the
13. Determine the value of n in simplest form:
14. Express
in simplest
15. Express the following in simplest form: (
form.
) (
)
16. Given that
and √
without the use of a calculator.
find the sum of
√ to an accuracy of
17. Find the real values of x and y in the given equation, using the fact that if a+bi = c+di, then a=c and
b=d.
18. Answer the following questions based on the given numbers:
3.5, 1.6 ×10−19, 60730, 6.073×105, 0.006073×106, , 9.8×10−18.
(a)
Write down the following numbers in increasing order
(b)
State which of the numbers in part (a) is irrational.