6.09 Quiz Review V8
x 2  3x  2
1. For what values of x is the following undefined? 2
x  x  30
2. Multiply. Put the answer in simplest form: (x^2-11x+30)/(x^2-16) * (3x+12)/(x-6)
3. Divide. Put the answer in simplest form:
5a  10 10a 2  40

3a3b
9a 2 b 2
4. Add/Subtract. Put the answer in simplest form:
5
1
1
 
x  3 3x x  3
x 2  16
2
5. Simplify: 2 12 x
x  7 x  12
9 x3
6. At what value is there a vertical asymptote:
5( x  2)
( x 2  16)
7. Name the horizontal asymptote(s) for
5x  3
5x  3
a)
b)
2
3x
3x
8. Solve:
x 1 1
 
8 4 x
9. Solve:
x
5

x3
3x  1 3x  1
10. Solve:
3
2
1

 . What is the numerator of the solution?
x  5x x  5 x
2
11. Solve and show work:
3x  5 x  1

x  2 2x 1
Answers:
1. It is undefined at x=6 and x=-5
2. 3(x-5) / (x-4)
3.
4.
5.
3b
2a (a  2)
Solutions worked out for #1-3 - Click Here: http://screencast.com/t/l41Q17Lq0
17 x 2  36 x  9
3x( x  3)( x  3)
Solution worked out for #4 – Click Here: http://screencast.com/t/D3c4KWw9
3x( x  4)
4( x  3)
Solution worked out for #5 – Click Here: http://screencast.com/t/7eSphuSI
6. There will be vertical asymptotes at x=4 and x=-4
7. a) Horizontal asymptote at y=0
8. x=4 and x=-2
9. x= 1/3 and x=2
10. The numerator of the solution is -8.
11. x = [7+/-sqrt(14)]/5. Be sure to show work.
b) Horizontal asymptote at y=5/3