Download Algebra 2 with Trigonometry Practice 1 Name 1) Ways to solving a

Algebra 2 with Trigonometry Practice 1
Name ___________________________
1) Ways to solving a quadratic equation:
A)
B)
C)
D)
Graphing
Factoring
Completing the Square
Quadratic Formula
2
Choose two methods and solve: 3 x  22 x  7  0
Method 1: __________________________________
Method 2 : __________________________________
2) A) Sketch a graph of a relation that is not a function.
B) Sketch a graph of a function.
c) What is the difference between the two graphs that make one a function and one not
a function.
3) A) What is a complex number?
B) What operations can you do with complex numbers?
C) What are complex numbers used for?
4) You inherit $10,000. You find a bank that will give you 6% interest, compounded
annually. The equation
A( x)  10,000(1.06) x models the amount you will have in
the bank after x years.
a. How much will you have in the bank, if you do not withdraw any money, after 5
years?
b. How long will it take your money to double? You can graph it in y1 and y2 or
use logs to solve it algebraically.
5) Caroline added the two rational expressions:
Explain what she is doing in each step.
Step 1:
=
x2 y2

x2 y2
( x  y)  x ( x  y)  y
=

x2 y2
x2 y2
Step 2:
Step 3:
=
x  xy xy  y
 2 2 .
x2 y2
x y
=
x  2 xy  y
x2 y2
2
2
Step 4:
2
2
x y x y
 2
xy 2
x y
6) Give an example of each of the following properties of logarithms:
a)
log b 1  0
b)
log b b  1
c)
log b (mn)  log b m  log b n
m
log
  log b m  log b n
b
d)
n
e)
log b (m n )  n log b m
7) Given the sequence: { 2, 7, 12, 17, …}
a. Explain the pattern of the sequence.
b. Write an equation to find the nth term.
8) Theater ticket sales on successive nights:
Patrons
Revenue
32
480
33
495
40
600
81
1215
a. Using your graphing calculator, determine the linear regression equation for the
given data. Round to the nearest hundredth.
b. Do you think a correlation exists between the number of patrons and the revenue
earned? Explain.
9) Given triangle ABC below, find side a using the Law of Sines:
A
35°
44mm
C
88°
a
B
a
b
c


sin A sin B sin C