Too Hard and Too Long!!!!!!!!!!
Algebra II – B
Chapter 9
List the all points of discontinuity
( x  4)( x  2)( x  5)
1. y 
( x  3)( x  2)
2. y 
Name:_____________
Date:_________
Period:______
x 8
x  2x  8
2
1.(+2)
2. (+2)
3. y 
x 3  11x 2  24 x
x 2 ( x 2  5 x  24)
4. y 
x 2  7 x  10
x 2  2x  8
3. (+3)
4. (+2)
Sketch the graph of the rational functions. Make sure to clearly label all
asymptotes, holes and points used to determine the shape of the graph.
1
5. y 
(+3 pts)
3x  9
6. y 
7.
x
x 4
y
2
x 2  7 x  12
x 2  25
(+3 pts)
(+4 pts)
Simplify the expressions. State any restrictions on the variables.
x 2  11x  24
4a 3 8b 2

8.
9.
x 2  5 x  24
7b 4 2a 6
8. (+2)
9. (+2)
10.
a2
a 2  2a  15

a5
a 2  4a
11.
x 2  16
x 2  5x  4

x 2  5x  6 x 2  2 x  8
10. (+3)
11. (+4)
12.
x 1
x2
 2
x  5 x  7 x  10
13.
 4y2
y2  2y3
12. (+3)
13. (+2)
Add or subtract the expression. Simplify if possible.
6
6
b 2  2b  8
6


15.
16.
2
2
a  5 a  25
b  b  2 b 1
15. (+2)
16. (+3)
17.
x 2  2 x  3 x 2  5x  6

x 2  9 x  18 x 2  9 x  8
18.
y 2  9 y  20 y 2  2 y  8

y 2  3 y  10 y 2  4 y  32
17. (+4)
18. (+4)
Simplify
1 6

6
a
a
19.
1 7

a 2a
20.
3b
d
6
5b
2b 
19. (+2)
20. (+2)
Solve the equations. Check all solutions
a
2
1


21 2
a  36 a  6 a  6
21. (+2)
22.
a 4 a 5

a  2 a 8
22.___________ (+3)
23.
6
1

1
x 9 x3
2
23.___________ (+3)
25.
2
3
2x  2

 2
x  3 4  x x  x  12
25.___________ (+5)
Extra Credit:
1. When can you add two to eleven and get one as the correct answer?
2. Why are 1990 American dollar bills worth more than 1989 American dollar bills?
3.
Two mothers and two daughters were fishing. They managed to catch one big fish,
one small fish and one fat fish. Since only three fish were caught, how is it possible
that they each took home a fish.