Unit 5 Review
1. What are the asymptotes of the graph y 
A. x = 18, y = 7
B. x = -18, y = -7
2
7?
x  18
x 2  3x  18
?
x 2  36
x3
B.
x6
C. x = -18, y = 7
D. x = 18, y = -7
2. What is the simplified form of
A.
x2
x6
3. What is the product
A.
x9
x2
4. What is the sum
A.
x2  4
3x 2 ( x  2)
x 2  7 x  44 x 2  17 x  72
?

x 2  6 x  16 x 2  2 x  99
x2
B.
x4
4
x
?
 2
2
3x
3x  6 x
x2  4
B.
3x( x  2)
5. What is the difference
A.
x 2  15
( x  3) 2 ( x  3)
x4
1
?
 2
x  6x  9 x  9
1
B.
x3
x3
x6
D.
x3
x6
C.
x4
x2
D.
x8
x2
C.
x 2  4x  8
3x 2 ( x  2)
D.
x 2  4x  2
3x 2 ( x  2)
C.
1
x3
D.
x 2  15
( x  3) 2 ( x  3)
2
6. What is the solution of the equation
A. 15
C.
B. 6
6 2
4
  ?
x 3
x
C. -2
D. -15
7. What is the solution of the equation
A. 7
B. -7
5 x
 x  1 ?
2
C. 3
8. What is the solution(s) of the equation
A. 3, 4
6
x
 ?
x7 2
B. -3
3
3
1


x  x  2 x 1 x  2
A. {-3}
B. {-5}
9. Solve:
D. -3
C. -4
2
C. {2}
10. Which of the following is a horizontal asymptote of f ( x) 
A. not one
B. y 
5
4
12. Simplify
2t  1
t2
t 1
3t
.

3t  6 4t  8
B.
D. {5}
5
?
4 x  25
2
C. y = 0
a 2  16 a 2  2a  8
11. Simplify 2
.

a  2a a 2  4a  4
(a  4)(a  4) 2
(a  4)(a  2)
A.
B.
a(a  2)
a(a  2)(a  2)
A.
D. -3, -4
 5t  4
12(t  2)
D. y = 2.5
C.
a4
a
C.
 5t  1
12(t  2)
D.
 16(a  1)
a(a  4)
D.
 5t  1
3(t  2)