IAT Final Exam Review 2013

What to bring: pencils and your own calculator (graphing or scientific permitted)

DO NOT FORGET YOUR TEXT BOOK!

Format: 100 multiple choice questions

Content: CH 7: Lessons 7.1 to 7.7 Practice: p1016 #1-45

CH10: Lessons 10.1 to 10.6 p1019 #1-39

CH 11: Lessons 11.1 to 11.4 p1020 #1-23

CH 12: Lessons 12.1 to 12.4 p1021 #1-28

CH 13: Lessons 13.1 to 13.4 p1022 #1-32

CH 14: Lessons 14.1 to 14.3 p1023 #1-16

Chapter 7 Study Guide

You should be able to do the following:

1.  Graph exponential growth and decay functions. Be able to state the y-intercept, asymptote, domain and range.

2.  Solve real-life problems involving exponential growth and decay.

3.  Solve investment problems involving compound interest and continuously compounded interest.

4.  Evaluate expressions involving the natural base e. Round appropriately.

5.  Transform from logarithmic to exponential form and vice versa.

6.  Evaluate logarithms by hand.

7.  Use properties of logarithms to expand, condense or evaluate expressions.

8.  Evaluate logarithms in base 10 or base e.

9.  Use the change of base property to evaluate logarithms of any base. Round appropriately.

10.  Solve real-life problems involving logarithmic functions as models.

11.  Solve exponential and logarithmic equations.

Chapter 10 Study Guide

You should be able to do the following:

1.  Apply the Fundamental Counting Principle.

2.  Solve problems involving permutations and combinations.

3.  Apply the Binomial Theorem.

4.  Find theoretical probability, experimental probability and geometric probability.

5.  Find probabilities of compound events (and/or).

6.  Find probabilities of overlapping events.

7.  Find probabilities of independent/dependent events.

8.  Construct a binomial probability distribution.

9.  Find a binomial probability.

Chapter 11 Study Guide

You should be able to do the following:

1.  Find mean, median, mode, standard deviation and range for a set of data.

2.  Find these statistics if you add a constant to a set of data.

3.  Find these statistics if you multiply a constant to a set of data.

4.  Find probabilities in a normal distribution.

5.  Find the z-score for a number.

6.  Find the margin of error for a survey.

7.  Find the number of people in a survey given the margin of error.

8.  Determine the sampling method used in a survey.

Chapter 12 Study Guide

You should be able to do the following:

1.  Write an equation for a sequence of numbers using appropriate notation.

2.  Find the sum of a finite sequence by hand or with your calculator.

3.  Write the formula for an arithmetic sequence.

4.  Use and interpret∑ notation.

5.  Find the sum of a finite arithmetic sequence using a formula from class.

6.  Solve problems involving arithmetic sequences.

7.  Write the formula for a geometric sequence.

8.  Find the sum of finite and infinite geometric sequences using formulas from class.

9.  Solve problems involving geometric sequences.

Chapter 13 Study Guide

You should be able to do the following:

1.  Write the six trigonometric ratios as fractions in lowest terms.

2.  Solve for missing sides and angles in right triangles.

3.  Find the exact values of trigonometric functions using reference angles.

4.  Covert and angle from degrees to radians and vice versa.

5.  Evaluate trigonometric and inverse trig functions with a calculator.

6.  Solve real-life problems involving trigonometric functions and right triangles.

Chapter 14 Study Guide

You should be able to do the following:

1.  Identify the amplitude and period of a trigonometric graph.

2.  Graph a trigonometric function in the form y = asinb(x – h) + k or

y = acosb(x – h) + k

3. Describe shifts in a sinusoidal graph.

3.  Write an equation in the form y = asinb(x – h) + k or

y = acosb(x – h) + k if you are given the picture of the graph.

4. Graph y = atanbx. State the period and asymptotes.

5. Simplify expressions using basic trigonometric identities.

6. Verify trigonometric identities.