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May 13th Notes/HW Algebra 2
Worksheet 8-6: Solving Rational Equations
Name: _________________________
Pd: _______ Date: ___________
Solve each equation. Check your solution.
Steps:
1.
x3
x

x5 x2
3.
12 3 3
+ =
x
4 2
4.
x  10 4
- =0
x2  2 x
7.
w
4w  3
w
CD:___________
w 1
w 1
CD:___________
CD:___________
CD:___________
2.
x
1

x 2 x
CD:___________
4.
x
x2
-4=
2
8
CD:___________
2
6. t 
8.
12
8
t
CD:___________
4n 2
2n
3
CD:___________


2
n 9 n3 n3
9.
x 1
12
=4- 2
x3
x  2x  3
CD:___________
10.
6
4
2
=
+
CD:___________
x 1
x2
x 1
Graphing Review (8.2 & 8.3)
Graph each of the following rational functions. Identify all vertical and horizontal asymptotes. Label all
asymptotes on the graph. State the x & y intercepts. State Domain & Range using interval notation.
11. y =
x2  4
x 2  8 x  15
12. y =
6 x
2x  1
VA:_______
HA:___________
VA:_______
HA:___________
x-int:
y-int:__________
x-int:
y-int:__________
Domain:_________ Range:__________
Domain:_________ Range:__________
Simplifying Review. (8.4)
Simplify the following expressions completely.
13.
x 2  8 x  15 x  4

x 2  12 x  32 x 2  25
14.
3x 2 y 6 y 2

4 x 3 y 5 2 xy3