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Math Review Sheet for Test

Test #2 will be given on Thursday, March 12. It will include material from Sections 1.4, 7.2, and
9.1 – 9.7. Be sure to bring your calculator to the test . If you forget your calculator or if your
calculator is not working, go to the Math /Science Center in Room 02 Macklin Tower to get a
short- term calculator loan.


MAKEUP POLICY: If you know in advance that you have to miss a quiz or test, you can make
arrangements with me to take the quiz or test before it is given in class. Otherwise, no makeup
quizzes will be given. If you miss an hour test, it may be made up only if you

• Do not have more than one unexcused absence during the time period covered on the test.
• Contact me on or before the scheduled test date.
• Can prove that you have a legitimate excuse.
• Show me all homework on the relevant material.

If you do not meet these conditions, you will not be permitted to take a makeup test and the
percentage equivalent of your final exam grade will be substituted for the grade of the missed
test. o student will be permitted to take more than one makeup test.

ACADEMIC HONESTY: All students are expected to do their own work on quizzes and tests.
Students are expected to observe the following rules during any test or quiz.
• Students may not use or even hold a cell phone or any other electronic device.
• Students may not speak to or share materials with other students.
• Students should have all materials ready at the beginning of the quiz or test.
• Students should remain in the room during the entire test or quiz.
Appropriate penalties will be imposed for breaches of academic honesty.


Integer and Rational Exponents ; Scientific Notation
• Use properties of exponents to simplify algebraic expressions and write answers using only
positive exponents .
Convert numbers from scientific notation to decimal notation and vice-versa.
• Perform calculations for numbers given in scientific notation and write the answer in
scientific notation using the correct number of significant digits .
• Evaluate expressions involving rational exponents without using a calculator.
• Use a calculator to approximate a radical to a specified degree of accuracy.
• Convert an expression in exponential notation to radical notation and vice-versa.
• Use properties of exponents to simplify expressions involving rational exponents.

Inverse Functions; Exponential and Logarithmic Functions and Equations
Draw the graph of an inverse function if you are given the graph of a function.
• Find the equation of the inverse of a function.
• Sketch by hand and recognize a general graph of an exponential function f (x) = ax and of a
logarithmic function ; state the domain and range of such functions.
• Know the meaning of a logarithm and a logarithmic function.
• Evaluate expressions involving logarithms.
• Use the power property of logarithms to solve exponential equations.
• Solve equations involving logarithms by converting to exponential form.
• Use exponential and logarithmic models to solve applied problems.


Make sure that you can do all homework and worksheet problems.
Read your textbook, paying special attention to the Chapter Summary and Review at the end of
each chapter
Make sure you know all the important formulas and properties .
Do the following review exercises for each chapter, using your book and/or notes to help if you
have any difficulties.

Suggested Review Exercises
Chapter 1 (p. 97)/ 38 – 45, 48 – 51
Chapter 7 (p. 605)/ 26, 27
Chapter 9 (p.783)/ 1, 7 – 10, 14, 16, 17, 19 – 27, 35, 36, 37, 44 – 47, 50 – 58, 60 – 63, 67, 68, 72

Check your answers for the review exercises and when you feel you have mastered the material,
you should be ready to do the following problems in the Chapter Tests without looking at your
book or notes.

Chapter 1 Test (p. 99)/18 - 25
Chapter 7 Test (p. 607)/ 14, 15
Chapter 9 Test (p. 785)/ 4 – 14, 17, 18, 19, 23 – 26, 28, 30 – 36, 38, 39

Check your answers and be sure to go over problems on which you made any errors.

You can get extra help from me, by going to the Math/Science Center, or by going to Project
which meets in Campus Center 208 on Tuesdays and Thursdays from 2:00 – 3:30 pm.

Additional Review Problems:

1. Write each of the following in radical notation.

2. Write each of the following in exponential notation.

3. Evaluate using a calculator and round the answer to 3 decimal places.

4. Find an exponential function of the type that contains the points (0, 12) and
(4, 4.9)


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