Download Algebra 2 – Chapter 9 Test Review direct variation the data.

Algebra 2 – Chapter 9 Test Review
Identify the data as direct variation or inverse variation. Then write an equation to model
the data.
1.
(3, 12) (5, 20) (10, 40)
______________
________
2.
(3, 8) (6, 4) (2, 12)
______________
________
3.
Each point below is from an inverse variation. Write an equation to model the data.
(a) (21, 3) _______________
(b) (1.4, 2) ________________
3
is translated 2 units right and 4 units up. What is the equation of
x
the translated graph?
4.
The equation y 
5.
Sketch the graph of each function below:
(a) y 
1
1
x6
(b) y  
5
4
x2
6.
If a graph comes closer and closer to a certain line but never touches that line, what
is the name for that line? (spelling counts)
7.
Classify each function as continuous or discontinuous.
(a) y 
8.
_________________
(b) y 
x5
__________________
x 2  16
Find the vertical asymptotes of each function:
(a) y 
9.
3
x 1
1
________________
x3
(b) y 
x4
_____________
x  5x  6
2
Find the horizontal asymptotes of each function:
(a) y 
x
___________
2
x 5
(b) y 
x 2  2x  3
5x 2  7
y

___________
(c)
x6
2x 2  5
10. Simplify:
x 2  10 x  25
x 2  9 x  20
_________________
11. Multiply or divide and simplify:
(a)
4 x
x2
 2
5
x  2x  8
(c)
a3
a2  9

a 2  a  12 a 2  7a  12
(b)
x 2  2 x  1 x 2  3x  2
 2
x2 1
x  4x  4
(d)
x 2  10 x  16
x 8
 2
2
x  6 x  16 x  64
4c 3 d 2
(e) c 2 d
5c d
d c
12. Add or subtract and simplify:
(a)
2
3

x3 x2
(b)
5
7
 2
x  25 x  10 x  25
(c)
x2 x3

x  1 2x  1
(d)
5
9
 2
x  36 x  5 x  6
2
2
13. Solve and check your solutions:
(a)
4
x

x x3
(b)
5
15
 2
2x  2 x  1
(c)
4
5

2
x 1 x 1
(d)
1
1
2

 2
b 1 b 1 b 1
14. A plane flies 700 miles from New York to Chicago at 360 mph with no wind and
then returns with a tailwind. The total trip takes 3.5 hours. What is the speed of the
wind?
15. Sixty-six people were surveyed on their favorite subject. Find the probability that the
subject either preferred math or that they were 19-22 years old.
Age 15-18
Age 19-22
Over 22
Math
8
12
15
English
7
7
3
16. The probability that Billy will make the football team is
Science
7
5
2
5
. The probability that
6
7
. What is the probability that Billy will
12
make both the football and baseball teams?
Billy will make the baseball team is
Extra Credit:
A. Solve for E:
c
1

0
E mc