simplifying expressions simplifying expressions fundamental counting principle word problems q $100...

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Simplifying Expressions Simplify ing Expressi ons Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600 Q $200 Q $100 Q $700 Q $200 Q $400 Q $800 Q $300 Q $600 Q $400 Q $800 Q $500 Q $1,000 Final Jeopardy

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Page 1: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

Simplifying Expressions

Simplifying Expressions

FundamentalCounting Principle

Word Problems

Q $100

Q $200

Q $300

Q $400

Q $500

Q $600 Q $200Q $100

Q $700 Q $200 Q $400

Q $800 Q $300 Q $600

Q $400 Q $800

Q $500 Q $1,000

Final Jeopardy

Page 2: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$100 Question from Expressions

Simplify

3a – 2(5a – 4) – (2n) – 6

Page 3: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$100 Answer from Expressions

– 7a – 2n + 2

Page 4: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Question from Expressions

What value of the variable makes the statement true?

Page 5: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Answer from Expressions

-11

Page 6: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$300 Question from Expressions

Simplify completely. Express answer as fraction in simplest form. Show work!

403.

Page 7: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$300 Answer from Expressions

Page 8: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Question from Expressions

Simplify completely. Express answer as fraction in simplest form. Show work!

3

8

7

Page 9: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Answer from Expressions

Page 10: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Question from Expressions

Simplify completely. Express answer as fraction in simplest form. Show work!

3252

a

Page 11: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Answer from Expressions

Page 12: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$600 Question from Expressions

Page 13: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$600 Answer from Expressions

Page 14: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$700 Question from Expressions

Page 15: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$700 Answer from Expressions

363125

8

pmn

Page 16: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$800 Question from Expressions

Page 17: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$800 Answer from Expressions

Page 18: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Question from Equations

Page 19: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Answer from Equations

Page 20: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Question from Equations

Page 21: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Answer from Equations

Page 22: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$100 Question from Fundamental Counting Principle

How many different 5–letter words are possible using the letters from the word Shoreman?

Page 23: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$100 Answer from Fundamental Counting Principle

6,720

Page 24: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Question from Fundamental Counting Principle

What is the probability that a randomly chosen set of letters from the word shoregal taken in order would result in the word rash?

Page 25: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Answer from Fundamental Counting Principle

Page 26: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$300 Question from Fundamental Counting Principle

A credit card contains 16 numbers, the first ofwhich cannot be zero. How many possible 16 digit credit card numbers are there? ExpressYour answer in scientific notation.

Page 27: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$300 Answer from Fundamental Counting Principle

Page 28: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Question from Fundamental Counting Principle

In the cafeteria, there are 5 different choices forMeat, 4 different types of potatoes, 3 types of soup and 3 types of cake. How many different lunch possibilities are there?

Page 29: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Answer from Fundamental Counting Principle

180

Page 30: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Question from Fundamental Counting Principle

A criminal is trying to crack a password. He Knows there are 4 digits followed by 4 letters. He also knows that it starts with a 4 and endswith an R. If it takes the criminal 5 seconds to type each password, assuming the criminalgoes through all of the possibilities and the lastone works, how long will it take him, assuming he never sleeps, in days to finish? Round to the nearest day.

Page 31: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Answer from Fundamental Counting Principle

1,017 days

Page 32: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Question from Word Problems

Page 33: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Answer from Word Problems

12,633 termites

Page 34: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Question from Word Problems

Page 35: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Answer from Word Problems

a) 3 unicornsb) 14 unicornsc) 150 unicorns; in reality I would never let the population exceed 37

Page 36: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$600 Question from Word Problems

An initial count of the number of geese in a flockputs the number of geese at 165. Six days later,the count was 734. Assume that the populationof geese grows exponentially. a) Find the equation that models the data b) What is the growth factor per day? c) How many geese are there in 2 weeks?

Page 37: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$600 Answer from Word Problems

or 1.28

Page 38: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$800 Question from Word Problems

The half-life of Plutonium-239 is 24,000 years.Find the amount of 723 lbs. of plutonium-239 after 10 years. Round to the nearest lb.

Page 39: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$800 Answer from Word Problems

723 lbs.

Page 40: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$1,000 Question from Word ProblemsAn hourly study of a new bacteria strain in a patient’s blood yielded the following results. At hour 3, there were 288 bacteria and by the 6th hour, there were 62,208 bacteria. If the bacteria count exceeds 13 million, the patient will become a zombie! Approximately how many hours do the doctors have to find a cure before the patient turns into a zombie?

Page 41: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$1,000 Answer from Word Problems

Page 42: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$100 Question from Word Problems

Your Text Here

Page 43: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$100 Answer from H5

Your Text Here

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$200 Question from H5

Your Text Here

Page 45: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$200 Answer from H5

Your Text Here

Page 46: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$300 Question from H5

Your Text Here

Page 47: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$300 Answer from H5

Your Text Here

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$400 Question from H5

Your Text Here

Page 49: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$400 Answer from H5

Your Text Here

Page 50: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Question from H5

Your Text Here

Page 51: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

$500 Answer from H5

Your Text Here

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Final Jeopardy

Page 53: Simplifying Expressions Simplifying Expressions Fundamental Counting Principle Word Problems Q $100 Q $200 Q $300 Q $400 Q $500 Q $600Q $200Q $100 Q $700Q

Final Jeopardy Answer