 
Summary: Appendix A
Solutions to selected exercises
Following are solutions to some of the exercises in the text. It is better to work the exercise and then chack the
solution than to try to work toward the solution. The first method will let you learn more, on average. Also
remember that some of these solutions may be wrong because the people that wrote the notes suffer from a bad
case of being human. Bring potential errors to your instructor and get help.
A.1 Selected Answers from Chapter 1
Problem 1.1
a) x = 3.
c) Move everything with an x to one side, everything without an x to the other, such that xy  2x = 1. Then
use the distributive property to pull x out of the left side, giving, x (y  2) = 1. Divide both sides by
(y  2) to isolate x, giving. x = 1
y2 .
e) Take the third root of both sides. Since,
3
y + 1
3
= y + 1, and 3
