Chapter 6 Review Game Exponents Evaluating with Exponents Simplifying with Exponents Rational exponents Exponential Growth and Decay

Start Up: You Need: A pencil A piece of paper Name Date Period Decide on a team name

Game Play: Question selection will alternate between teams. Team members will work together to answer each question.

Game Play: Once all teams have reached a consensus reveal the answer on the next slide. Points will be awarded for each correct answer (every team can earn every point) Score will be kept by the teacher to ensure equity

Rules: All work must be shown by each member for the team to earn points. No Talking among other groups; a violation will result in a loss of 5 points for all parties involved.

Participation: You NEED your own paper! Papers will be collected at the end of class and counted as a participation grade for today.

Note to Teacher: If at any time you need to return to the game board click the “I <3 Math” picture Any pictures on the slides following the answers will also return you to the game board

10 20 30 40 50 Classic Board 80’s Style New Fangled Weird and Funny Game Board

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1:10 Classic Board for 10pts Is the table an example of exponential growth, exponential decay, or neither? X 1 2 3 4 y 4.95 8.1675 13.4764 22.2361

Classic Board for 10pts Answer The pattern is to multiply by 1.65 and 1.65>1, so it is exponential growth X 1 2 3 4 y 4.95 8.1675 13.4764 22.2361

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1:20 Classic Board for 20pts Simplify

Classic Board for 20pts Answer Simplify

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1:30 Classic Board for 30pts Simplify

Classic Board for 30pts Answer Simplify

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1:40 Classic Board for 40pts Simplify

Classic Board for 40pts Answer Simplify

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1:50 Classic Board for 50pts You buy a moped for $2000. It’s value depreciates by 4% each year. a. Write an equation for the value of your moped as a function of years. b. How much is your moped worth after 6 years?

Classic Board for 50pts Answer You buy a moped for $2000. It’s value depreciates by 4% each year. a. Write an equation for the value of your moped as a function of years. b. How much is your moped worth after 6 years?

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2:10 80's Style for 10pts Simplify 175 144

Simplify 175 144 = 25∗7 12 = 5 7 12 80's Style for 10pts Answer 175 144 = 25∗7 12 = 5 7 12

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2:20 80's Style 20pts Simplify

2:20 ans 80's Style for 20pts Answer Simplify

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2:30 80's Style for 30pts Simplify

anything to the zero power is 1!! 2:30 ans 80's Style for 30pts Answer Simplify 1 anything to the zero power is 1!!

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2:40 80's Style for 40pts Simplify

2:40 ans 80's Style for 40pts Answer Simplify

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2:50 80's Style for 50pts Simplify

2:50 ans 80's Style for 50pts Answer

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3:10 New Fangled for 10pts Simplify

New Fangled for 10pts Answer Simplify

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3:20 New Fangled for 20pts Find the growth rate “r” in the following function: 𝑓 𝑥 =81 1 3 𝑥

New Fangled for 20pts Answer How much under 1 is 1/3? 1-(1/3) = 2/3 r = 2/3 = decrease of 66.67%

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3:30 New Fangled for 30pts What is the rule for the nth term of the sequence? 729, -243, 81, -27, 9, 3, … What is the 73rd term?

New Fangled for 30pts Answer 𝑎 𝑛 =729∗ − 1 3 𝑛−1 𝑎 73 =729∗ − 1 3 73−1 𝑎 73 =729∗ − 1 3 72 𝑎 73 =3.24∗ 10 −32

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3:40 New Fangled for 40pts Simplify

New Fangled for 40pts Answer

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3:50 New Fangled for 50pts Joy’s new job pays a salary of $32,000 per year. Her company guarantees an annual pay increase of 3%. a. Write a function that models Joy’s salary over time. Assume she only gets the guaranteed increase. b. What would Joy make in 7 years?

New Fangled for 50pts Answer Joy’s new job pays a salary of $32,000 per year. Her company guarantees an annual pay increase of 3%. a. Write a function that models Joy’s salary over time. Assume she only gets the guaranteed increase. b. What would Joy make in 7 years?

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4:10 Weird and Funny for 10pts Simplify 128 5 7

Weird and Funny for 10pts Answer Simplify 128 5 7 = 7 128 5 2 5 =32

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4:20 Weird and Funny for 20pts Cyndi deposits $12,125 into an account that earns 1.25% annually. The account’s interest compounds quarterly. How much will she have after 10 years, assuming she does not make any further deposits or withdrawals?

Weird and Funny for 20pts Answer 𝑇=12125 1+ 0.0125 4 10∗4 $13,736.75

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4:30 Weird and Funny for 30pts Simplify 320

Weird and Funny for 30pts Answer Simplify 320 8∗8∗5 8 2 ∗ 5 8∗ 5

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4:40 Weird and Funny for 40pts Write an equation to represent an initial amount of $25 increasing by 6% over time.

Weird and Funny for 40pts Answer Write an equation to represent an initial amount of $25 increasing by 6% over time.

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4:50 Weird and Funny for 50pts The population of an invasive plant will double each year if not addressed. A population starts with an are of 3ft2. a. Write a function that models the plant’s population over time without interference. b. What would the population be in 4 years?

Weird and Funny for 50pts Answer The population of an invasive plant will double each year if not addressed. A population starts with an are of 3ft2. a. Write a function that models the plant’s population over time without interference. b. What would the population be in 4 years?

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Bonus DOUBLE THE POINTS!!! BONUS!! To Question

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