# MAC 1105

## Review Sheet, Exam 2

March 2, 2011

When: March 9, in class

What Material:
Sections 1.4-1.8, 2.1, 2.3.

Procedure:
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.

Suggested Review:

• You've seen what my exams are like now: a long test with nothing terribly tricky, nothing that you haven’t seen before.  All the advice from the last review sheet still applies.  Let's review:
• 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.
• TIME 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.
• On 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 help.
• 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 like.

Specific Topics:

• Quadratic Equations: Be able to solve a quadratic equation.  I may force you to use a particular method for solving, for instance I may force you to use completing the square.  So make sure you know all methods.  All quadratics on the exam will have real solutions (no complex solutions), but you can expect square roots in an answer.  Practice Problems: 1.4, 13-22, 31-40, 45-48, 53-59.
• Word Problems:  There will only be geometric word problems, probably dealing with a rectangle or a box (think garden borders, cardboard being folded, etc).  Make sure you answer the question you are being asked (if I ask for a box's dimensions, make sure you give them to me).  Practice Problems: 1.5, 15-24..
• Other Types of Equations: Radicals, rationals, and substitution.  Be able to do all three.  Be able to do radical equations with two square roots, and MAKE SURE YOU CHECK YOUR ANSWERS!!!  Practice Problems: 1.6, 7-26, 35-70, 73-85.
• Inequalities: Linear and quadratic inequalities.  Be able to solve them, and be able to draw the solution on a number line and be able to write the solution in interval notation.  Practice Problems: 1.7, 13-34, 39-48, 69-86.
• Absolute Equations and Inequalities: Solve equations and inequalities involving absolute values.  Make sure you isolate the absolute value before getting rid of it, and make sure you end up with two answers to the absolute equations.  Practice Problems: 1.8, 9-23, 27-41, 43-66.
• Rectangular Coordinates: Plotting points, finding distances and midpoints.  Most of this section is just formulas.  Just make sure you know how to plug stuff into the formulas, and make sure you get the formulas right.  Practice Problems: 2.1, 11-18, 31-36.
• Functions and Graphs: Not much here.  You need to be able to find the domain and range of a function, either from the function’s formula or from the graph.  Also, you should be able to interpret a graph of a function, determining values of f(x) from the graph.  Practice Problems: 2.3, 23-38, 41-56.