Students must complete the following to receive full credit for EACH credit/unit:

Terms Define all terms, give examples when appropriate

Notes 10 Bullet Points from each section or 3-5 sentence summaries from each section

Questions Answer the questions completely

Test Take each test found at: https://testmoz.com/class/16400

All test passwords are: osc

All videos have Spanish translations under the play button.

Todos los videos tienen traducción al español debajo del botón de reproducción.

Terms to Know:

• Logarithmic

• Exponential

• NaturalLog

• Continuous

• Recursive

• Asymptote

• Quotient

• Explicit

• Compound

• HalfLife

• Product

• Domain

• Growth

• Power

• Range

• Euler

• Decay

• Base

Section 6.1: Exponential Growth and Decay Functions

Example 1

Example 2

Example 3

Example 4

Example 5

Section 6.2: The Natural Base e

Example 1

Example 2

Example 3

Section 6.3: Logarithms and Logarithmic Functions

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Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Section 6.4: Transformations of Exponential and Logarithmic Functions

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Example 2

Example 3

Example 4

Example 5

Example 6

Section 6.5: Properties of Logarithms

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Example 2

Example 3

Example 4

Example 5

Example 6

Section 6.6: Solving Exponential and Logarithmic Equations

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Example 2

Example 3

Example 4

Example 5

Example 6

Section 6.7: Modeling With Exponential and Logarithmic Functions

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Example 3

Example 4

Example 5

Example 6

Evaluate the logarithm. Use log 5 = 1.1610 and log 11 = 1.7297, if necessary.

1. log₄ 55

2. log₄ 11/5

3. log₄ 121

4. log₄ 22 + log₄ 1/2

5. log₄ 6 + log₄ 10 - log₄ 12

Solve the equation.

6. 2^2x-1 = 8

7. log₂(7x + 9) = 1

8. 9^x = (1/3)^2x-4

9. ln(2x + 5) = ln(3x - 3)

10. The number of new chain saws sold t years after the introduction of a new model is given by the function y = 2300 ln(8t + 3). How many chain saws will be sold 5 years after the new model is introduced? Round your answer to the nearest whole number.

Terms to Know:

• complex conjugate

• polynomial

• coefficient

• quadratic

• theorem

• Descartes

• synthetic

• fraction

• factor

• function

• constant

Section 7.1: Inverse Variation

Example 1

Example 2

Example 3

Example 4

Section 7.2: Graphing Rational Functions

Example 1

Example 2

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Example 4

Example 5

Section 7.3: Multiplying and Dividing Rational Expressions

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Example 6

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Section 7.4: Adding and Subtracting Rational Expressions

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Example 6

Section 7.5: Solving Rational Equations

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Example 6

The variables x and y vary inversely. Use the given values to write an equation relating x and y. Then find y when x = 2.

1. x = -1, y = 29

2. x = 8, y = 11

3. x = 3, y = 12

4. x = 3/7, y = 7/6

Perform the indicated operation.

5. (6a²/b) / (3a⁴/5b²)

6. [(t² + 4t - 21) / (t² + t - 12)] - [6 / (t - 4)]

7. [(x² - 2x - 35) / (x² - 4x - 21)] / [(x² + 9x + 20) / (x² - x - 12)]

8. [p² / (p + 6)] x [(p² + 11p + 30) / (p² + 6p)]

9. (7m²/3n⁵) x (8n⁶/10m⁴)

10. For Valentine’s Day, a chocolate store plans to produce a chocolate-covered strawberry in the shape of a heart. The initial cost for the store to produce this item is $560. The store estimates that it will cost $0.84 to make one heart-shaped chocolate-covered strawberry. How many of the heart-shaped chocolate-covered strawberries must the company produce before the average cost for the item is $1.25? Round your answer to the nearest whole number.

Terms to Know:

• Sequence

• Terms

• Finite Sequence

• Infinite Sequence

• Rule

• Series

• Summation Notation

• Sigma Notation

• Factorial

Section 8.1: Defining and Using Sequences and Series

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 8.2: Analyzing Arithmetic Sequences and Series

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Example 3

Example 4

Example 5

Example 6

Section 8.3: Analyzing Geometric Sequences and Series

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Example 2

Example 3

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Example 6

Section 8.4: Finding Sums of Infinite Geometric Series

Example 1

Example 2

Example 3

Example 4

Section 8.5: Using Recursive Rules With Sequences

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Write a recursive rule for the sequence. Then find a₄.

1. -2, -7, -12, -17, ...

2. r = 1/5, a₁ = 125

3. a_n = 3 - 2n

4. 2, 9, 37, 149, ...

You recently have been offered a job that pays you a monthly salary of $3500 and guarantees you a monthly raise of $180 during your first year on the job.

5. Find the general term of this arithmetic sequence.

6. What will your monthly salary be at the end of your first year of work?

7. In preparation to buy a new video game that costs $65, your friend plans on saving money each month for the purchase of the game. Your friend initially starts her savings with $10 in January, and plans on saving 10% more during each successive month. After what month will your friend be able to purchase the video game?

Find the next term in the pattern and then write a rule for the nth term.

8. 2, 9, 16, 23, ...

9. -3, 6, -9, 12, ...

10. 1/5, 2/10, 3/15, 4/20, ...

Terms to Know:

• arccosine

• arctangent

• cotangent

• arcsine

• trigonometric function

• trigonometric

• radian

• cosecant

• inverse function

• cosine

• secant

• function

• sine

• tangent

• angle

• adjacent

Section 9.1: Right Triangle Trigonometry

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 9.2: Angles and Radian Measure

Example 1

Example 2

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Example 4

Section 9.3: Trigonometric Functions of Any Angle

Example 1

Example 2

Example 3

Example 4

Example 5

Section 9.4: Graphing Sine and Cosine Functions

Example 1

Example 2

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Section 9.5: Graphing Other Trigonometric Functions

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Example 2

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Section 9.6: Modeling With Trigonometric Functions

Example 1

Example 2

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Example 4

Section 9.7: Using Trigonometric Identities

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Example 4

Section 9.8: Using Sum and Difference Formulas

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Example 5

Evaluate the given trigonometric function using the graph above for Questions 1-4.

1. sin Θ

2. cos Θ

3. tan Θ

4. cot Θ

Verify the identity.

5. sin² x + sin² x cot² x = 1

6. 1 - [cos² x / (1 + sin x)] = sin x

Evaluate.

7. cot(495°)

8. sec(-240°)

Convert the degree measure to radians or the radian measure to degrees. Then find one positive angle and one negative angle that is coterminal with the given angle.

9. -560°

10. 170°

Terms to Know:

• Probability

• Distribution

• Outcome

• Function

• Event

• Statistics

• Percentage

• Sum

• Mean

Section 10.1: Sample Spaces and Probability

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Example 6

Section 10.2: Independent and Dependent Events

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Example 7

Section 10.3: Two-Way Tables and Probability

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Section 10.4: Probability of Disjoint and Overlapping Events

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Section 10.5: Permutations and Combinations

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Example 6

Example 7

Section 10.6: Binomial Distributions

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Example 2

Example 3

Example 4

You spin a spinner that has equal spots numbered 1–8. Find the probability of the event described.

1. You spin a 4.

2. You spin a composite number.

3. You spin a multiple of 2.

4. You spin a number less than 1.

Evaluate the expression.

5. ₁₂P₅

6. ₇C₄

7. ₁₃C₇

8. ₉P₄

A small bag contains 6 pennies, 5 nickels, 3 dimes, 5 quarters, and 2 one-dollar coins.

9. You choose one coin at random from the bag. What is the probability that you choose a one-dollar coin or a dime?

10. You choose one coin at random, do not replace it, and then choose a second coin at random. What is the probability that you choose a quarter followed by another quarter?