# MATH 211 NIU 04Fall

NAME Rec. Instr.

Signature Rec. Day/Time

College Algebra – Final Exam

May 11, 2005

Show all work for full credit. You may use a calculator, but show alge-

braic computations whenever possible. No notes or books are allowed.

Page 1 2 3 4 5 6 7 8 9 10 Total

Points

(7 pts) 1. Solve the equation (2x−1)(3x+ 1) = (x−1)(6x+ 7).

page 2 of 10

2. Simplify the following. (An exact answer, no decimal approximation, is wanted

in (a)).

(6 pts) (a) log3(81)

(6 pts) (b) p18x2y4

(9 pts) (c)

3x+ 12

2x−8

(x+ 4)2

(x−4)2

page 3 of 10

(6 pts) 3. Write as a single logarithm, simplifying where possible.

ln(x3)−4 ln(√x) + 1

2ln(x)

(8 pts) 4. Solve the inequality |2x−5|>15.

(8 pts) 5. Find all vertical and horizontal asymptotes of y=x2+ 3x+ 5

x2−5x+ 6 and

explain what you did to ﬁnd them.