Review Sheet, Exam 1
January 30, 2011
February 7, in class
Sections R.2-R.7, Section, 1.1 (up to the February 2 lecture, and up to the homework due on February 4)
The test will be closed book, closed
notes. You will have the entire class period for the test. Calculators will be
allowed, but will not be required, nor will they be particularly useful.
You may not use a TI-89 or a TI-92.
- Practice. A bunch.
Practice a whole lot. The
test will be rather straightforward, and all problems on the test will be
similar to problems from the homework and quizzes (but of course you should
expect the more difficult problems to appear on the test). As always, go
through all of the notes, homework problems, and quizzes. Do extra problems
from the book that are similar to problems you have difficulty with. Any type
of problem assigned in class is fair game for the exam. You should also practice doing these
problems in a test-type situation: no notes, no book, no checking your answer immediately
after doing the problem.
IS AN ISSUE! You have 50 minutes
for this exam. If you understand
the material well enough, then this will be more than enough time for
the test. But if you don’t have a good grip on
the material, then you will go slower, and you may run out of
time. Don't expect to have ten minutes to do one factoring
problem (more like one to three minutes, depending on the difficulty).
MyMathLab, all book problems are accessible throuhg the online text
(found in "Chapter Contents") or through the study plan (found in
"Study Plan"). You can practice either of these until your heart
is content, but make sure you can do the problems without any computer
- Finally, you should run through the
review problems and chapter test at the end of chapter R. Since all of the topics appear at the
same time, these exercises will give you a better idea of what the test will be
Numbers and Their Properties:
You’ll notice that I take this section somewhat for
granted. You should know what
the different types of numbers are (rational, irrational, whole, etc), you
should know your order of operations, you should how absolute values work, and you should know number properties
(distributive property, commutative property, etc). Practice Problems: R.2, 15-40, 57-88.
- Polynomials: Know what they are, what the
degree of a polynomial is, and how to do arithmetic with them (practice
your long division!). Practice
Problems: R.3, 43-94.
- Factoring: Factor polynomials using any of
the techniques we’ve learned.
is best to practice with a mixed bag of problems. Factoring is a
portion of a lot of other problems, so be able to do these quickly. Practice Problems: R.4, 1-16
, 25-46, and especially 51-70.
multiply, divide, add, and subtract.
Pay particular attention to adding rational expressions with
different denominators. It is
also possible for me to put on one of those complex fractions. Practice Problems: R.5 11-36, 39-69.
expressions down, so that you have no negative exponents and no extraneous
terms. Practice Problems: R.6, 15-36, 47-70, 97-102.
radical expressions, so that you never have an exponent under the radical
that is bigger than the root power, and so that you have no radicals in
the denominator. Also know
how to multiply out expressions involving radicals, and know how to
rationalize the denominator of an expression. Practice Problems: R.7, 15-93.
Equations: Be able to solve a linear
equation, and be able to solve an equation for a specific variable. Practice Problems: 1.1, 9-28, 39-58.