final jeopardy question exponents evil exponents 100 500 400 300 200 100 500 400 300 200 100 500 400...

33

Upload: madeleine-robinson

Post on 17-Dec-2015

215 views

Category:

Documents


1 download

TRANSCRIPT

Page 1: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200
Page 2: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Final Jeopardy Question

Exponents

EVILExponen

ts

100

500

400

300

200

100

500

400

300

200

100

500

400

300

200

100

500

400

300

200

100

500

400

300

200

100

500

400

300

200

Exponential

GrowthAnd

Decay

Word Problems

$$$Word

Problems

Ms. P’sFun Facts

Page 3: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

𝟔𝒂−𝟐+𝟗𝒂𝟐

𝟑𝒂−𝟐

𝟐+𝟑𝒂𝟒

Page 4: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

𝟐 𝒙−𝟑 ( 𝒙𝟓−𝟐 𝒙𝟑 )❑

𝟐 𝒙𝟐−𝟒

Page 5: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify: (𝟑𝒂−𝟐 )𝟑 ∙𝟑𝒂𝟓

Answer: 𝟖𝟏𝒂

Page 6: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

(𝟒−𝟏−𝟐−𝟏 )𝟐

𝟏𝟏𝟔

Page 7: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

(𝟐 𝒙−𝟑 )−𝟒

𝒙𝟏𝟐

𝟏𝟔

Page 8: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

𝒙−𝟐−𝒚−𝟐

𝒙−𝟏−𝒚−𝟏

𝒚+𝒙𝒙𝒚

Page 9: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

(𝒃 ∙𝒃𝒏 )𝟐

(𝒃𝟐 )𝒏

𝒃𝟐

Page 10: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Evaluate:

Answer:

(𝒃𝒏 )𝟑

𝒃𝒏 ∙𝒃𝒏

𝒃𝒏

Page 11: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Simplify:

Answer:

𝟐𝒏𝟏𝟑 (𝒏

𝟐𝟑+𝒏−𝟏/𝟑)

𝟐𝒏+𝟐

Page 12: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Evaluate:

Answer:

3√𝟐𝟕𝒙−𝟔𝒚𝟐

𝟑𝒚𝟐𝟑

𝑥2

Page 13: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Determine whether the following is an example of a) Exponential Growth, b)

Exponential Decay, c) Neither, or d) Both:

Answer: Growth

𝒚=𝟓(𝟖𝟕 )𝒙

Page 14: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Determine whether the following is an example of a) Exponential Growth, b)

Exponential Decay, c) Neither, or d) Both:

Answer: Neither

𝒚=𝟓 𝒙𝟐

Page 15: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Determine whether the following is an example of a) Exponential Growth, b)

Exponential Decay, c) Neither, or d) Both:

Answer: Decay

𝒚=(𝟎 .𝟕𝟕 )𝒙

Page 16: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Answer: Growth

𝒚=𝟐 (𝟏.𝟐𝟓 )𝒙

Page 17: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Answer: Decay

𝒚=𝟖(𝟐𝟑 )𝒙

Page 18: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Over the past 60 years, the population of a country

increased from 100 million people to over 200 million

people. When will the population approximately reach 300 million

people?Answer: 35 years

Page 19: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Over the past 60 years, the population of a country

increased from 100 million people to over 200 million

people. Find the equation that gives the population t years

from now. Answer:

Page 20: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Answer:

The bacteria colony in Mr. Llorens’ ear doubles every 3

days. The population is bacteria. What will the

population P(t) be t days later?

Page 21: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Ms. Pobuda purchases a MegaDeluxe Cat Palace for

$2,000. The value of the Cat Palace depreciates at a rate of

8% each year.

Answer: $1,692.80

Page 22: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Mr. Llorens wants to invest in diamond gold earrings for his

pet squirrel. If the initial cost of the earrings is $650 but they

increase in value every year by 4%. How much will the earrings be worth 25 years from now?

Answer: $1,692.80

Page 23: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

You just deposited $5,000 into an account that pays 2% interest.

What is the balance in the account after 3 years if interest is compounded: Continuously

Answer: $5309.18

Page 24: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

You just deposited $5,000 into an account that pays 2% interest.

What is the balance in the account after 3 years if interest is

compounded: Daily

Answer: $5309.17

Page 25: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

You just deposited $5,000 into an account that pays 2% interest. What is the balance in the account after 3 years

if interest is compounded: Monthly

Answer: $5308.92

Page 26: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

You just deposited $5,000 into an account that pays 2% interest. What is the balance in the account after 3 years

if interest is compounded: Quarterly

Answer: $5308.40

Page 27: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

You just deposited $5,000 into an account that pays 2% interest. In order to determine the balance after 3 years –

what two formulas would you used depending on how the interest in

compounded?

Answers:

Page 28: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

If Ms. Pobuda was to give given a math name, it

would be…

Page 29: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Ms. Pobuda believes the ultimate insult is to be

called …

Answer: Mr. Llorens

Page 30: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Ms. Pobuda’s was sent to see the Principal how many times in school?

A)NeverB) OnceC) Twice

D) At least five timesE) Well over five times

Answer: B) Once

Page 31: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Ms. Pobuda’s favorite color is?A)Blue

B) BlackC) Pink

D) GreenE) Grey

Answer: E) Grey

Page 32: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

Ms. Pobuda owns how many cats?

Answer: 2

Page 33: Final Jeopardy Question Exponents EVIL Exponents 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200 100 500 400 300 200

Back

For extra credit points on your exam – take out your

homework from Pg. 184 #11, 12, 14, 19, 20, 21. The groups

that have their homework completed will earn extra

credit.