january 28, 2015 1.katie needs to estimate the total number of stars in the universe for her science...

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January 28, 2015 1. Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion galaxies in the universe and that each galaxy, like the Milky Way, is estimated to contain more than 100 billion stars. What is the approximate total number of stars in the universe in scientific notation?

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Page 1: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

January 28, 2015

1. Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion galaxies in the universe and that each galaxy, like the Milky Way, is estimated to contain more than 100 billion stars. What is the approximate total number of stars in the universe in scientific notation?

Page 2: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. What are the odds of rolling a sum of 7 on a pair of dice?

2. What is the probability of flipping two tails in a row on a quarter?

January 29, 2015

Page 3: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write two equations with the same slope but different y-intercepts and then graph them on your graphing calculators.

February 3, 2015

Page 4: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Parallel lines have what in common?

2. How do the slopes of perpendicular lines compare?

February 4, 2015

Page 5: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a linear equation that is parallel to the one above.

2. Write a linear equation that is perpendicular to the one above.

February 5, 2015

64 xy

Page 6: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a linear equation in Intercept form for a line that passes through the following points:

(-4, 8) and (2, 3)

February 6, 2015

Page 7: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a linear equation in Intercept form for a line that passes through the following points:

(1, 3) and (-5, 3)

February 9, 2015

Page 8: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a linear equation for a line that passes through the following points:

(-7, 3) and (-7, 9)

February 10, 2015

Page 9: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a linear equation for a line that passes through the following points:

(-6, 2) and (-9, 7)

February 11, 2015

Page 10: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Prove if the following equations are equivalent.

February 12, 2015

3)2(4 xy

)3(416 xy

Page 11: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a linear equation for a line that passes through the following points in Point-Slope Form:

(-9, 3) and (14, 52)

February 13, 2015

CHOCOLATE!

Page 12: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

February 17, 2015

1. Find the missing angles x and y.

81° x° y°

Page 13: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

February 18, 2015

1. Find the missing angles x and y.

78°

x°y°

Page 14: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

February 23, 2015

1. Write a linear equation in standard form for line that has a slope of and a y-intercept of 9.

Page 15: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

February 24, 2015

1. Write a linear equation in standard form for line that has an undefined slope and an x-intercept of 4.

Page 16: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

February 25, 2015

1. Write a linear equation in standard form for line that has a slope of 0 and an y-intercept of 4.

Page 17: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. How can you add eight 8's to get the number 1,000?

2. Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person ate 1 egg. Explain how this is possible.

February 26, 2015

Page 18: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. List 3 requirements for a Line of Fit.

March 5, 2015

Page 19: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Describe how you find Q-points if you are trying to make a Line of Best Fit.

March 10, 2015

Page 20: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 11, 2015

1. The deepest part of any ocean is 36,960 feet. What is that depth in miles?

2. Simplify: )3(4 2 xx

Page 21: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 12, 2015

1. Is the point (3, 6) a solution to the following system of equations?

12812

184

yx

yx

Page 22: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 13, 2015

1. Find the solution to the following system of equations.

1026

53

yx

yx

Page 23: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Graph and find the point of intersection.

March 16, 2015

24812

64

yx

yx

Page 24: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Solve the following system by substitution method.

March 17, 2015

1

1239

yx

yx

Page 25: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 18, 20151. Solve the system of equations using substitution

method.

162

248

yx

yx

Page 26: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 19, 20151. Solve the system of equations using substitution

method.

10104

552

yx

yx

Page 27: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Solve the following problem.

The admission fee to go to Penn State’s creamery is $2.00 for Bellefonte students and $4.00 for non-Bellefonte students. On a certain day, 2200 people went to the creamery and $5050 is collected. How many Bellefonte students and how many non-Bellefonte students attended?

March 20, 2015

Page 28: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 23, 2015

1. Everyday when Katie returns from school she puts her change from buying lunch into a jar on her dresser. This weekend she decided to count her savings. She found that she had 72 coins—all nickels and dimes. The total amount was $4.95. How many coins of each kind did she have?

Page 29: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 24, 2015

You find yourself locked in a room which is filled with nothing but ropes of various length and composition. All of these ropes have inconsistent compositions and densities, even within themselves, but they all have one common property:

If you set a rope on fire from one end, it will take precisely one hour to burn to the other end.

It is important to note that because the ropes are warped, with inconsistent composition and density, they do not burn evenly. For example, if a rope has burned half its length, that does NOT necessarily mean that it has burned for half an hour.

There is an exit to the room, with a lever to operate the door. In order to open the door, you must first pull the lever and then the push it back into place precisely 45 minutes later.

With nothing but a lighter and knowledge of the hour burning ropes, how can you accurately time 45 minutes to open the door?

Page 30: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 25, 20151. Solve the system of equations using elimination

method.

1023

642

yx

yx

Page 31: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 26, 20151. Solve the system of equations using elimination

method.

633

857

yx

yx

Page 32: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

March 27, 20151. Solve the system of equations using elimination

method.

696

1232

yx

yx

Page 33: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Solve the following system by either the substitution or elimination method.

March 30, 2015

126

42

yx

yx

Page 34: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. How many different ways are there to line up 8 students to get free bacon cupcakes?

2. Evaluate: 5!

March 31, 2015

Page 35: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Solve the following problem by writing an inequality and solving it.

Mr. Shade has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can he continue his current spending pattern?

April 1, 2015

Page 36: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Solve the following inequality.

2. Solve the following inequality.

12351082 xorx

11725 x

Page 37: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write a system of inequalities for the problem below:

Garret is buying wings and burgers for his spring break party. One package of wings costs $7 and the burgers are $4 per pound. He only has $40 to spend on the meat for the party.

Garret knows that he needs to buy at least 5 pounds of burgers because Sierra is bringing Lindsay, Alana, and Takara to the party.

Page 38: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Graph the following inequality:

1226 yx

Page 39: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Find the missing value x. Round to the nearest tenth.

2. Find the missing angle in the following diagram.

3 ft.3 ft.

6 ft.x ft.

25°

Page 40: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

)

1. Graph the following inequality:

50105 yx

Page 41: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. How do you make an astronaut baby sleep?

2. A dead man is found in the middle of nowhere. He has no apparent wounds, but he has a hole in his suit. How did he die?

Page 42: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Gordon Shumway traced his heritage (family history) back 8 generations. The first generation was his parents, the 2nd generation was his grandparents (all 4 of them), and so on. How many people are on Gordon’s direct family tree?

* Not a trick question * Only the people he came from.

Page 43: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

Chloe charged $456.35 to her Visa credit card for baking supplies. Her credit card has a 21.99% monthly interest rate. She then lost the bill and forgot to make a payment.

1. Write an exponential equation to model the equation above.

2. What would be the balance on Chloe’s credit card if she doesn’t make any payments for 1 year?

)

Page 44: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. The deepest part of any ocean is 36,960 feet. What is that depth in miles?

2. Simplify: )3(4 2 xx

Page 45: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write the system of inequalities from the graph.

Page 46: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Convert the following number to scientific notation:

2. Convert the following number to scientific notation:

3. Simplify: )3)(2( 432 abccba

000,000,000,000,175

540000000000.0

Page 47: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

Garret is buying wings and burgers for his spring break party. One package of wings costs $7 and the burgers are $4 per pound. He only has $40 to spend on the meat for the party.

Garret knows that he needs to buy at least 5 pounds of burgers because Autumn is bringing Hannah, Lauren, and Max to the party.

Write a system of inequalities for the problem above.

Page 48: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. What is the perimeter of a square with the same area as a

3 cm x 27 cm rectangle?

2. Simplify:

Page 49: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Write the system of inequalities from the graph.

Page 50: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Simplify the following:

83762

72526242

))(3)(3(

27

hghjcfababcd

jhgfdcba

Page 51: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Convert the following number to scientific notation:

2. Convert the following number to scientific notation:

3. Simplify: )3)(2( 432 abccba

000,000,000,000,175

540000000000.0

Page 52: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Solve for x:

1682

1 2 x

Page 53: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Simplify:

042

7

3

3326

39235265

721

245

32

)3(9)(25

yyz

xxyzxy

xyzxyxyx

Page 54: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

Levi bought a used Dodge Charger for $12,600. The car has a depreciation rate of 8% per year.

1. Write an exponential equation to model the problem above.

2. What is the value of Levi’s car after 5 years?

Page 55: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

James bought a used Dodge Charger for $12,600. The car has a depreciation rate of 8% per year.

1. Is this problem Linear or Exponential?

2. What is the Constant Pattern?

3. What is the value of James’ car after 5 years?

Page 56: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

Hannah bought a ninja monkey for $2,350. Since this is the only ninja monkey in the world, it is very valuable. Hannah estimates that she can get an extra 10% in value every year she waits to sell the monkey.

What is the value of the ninja monkey after 4 years?

Bonus – On the back of your paper

Page 57: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. The following equation represents the total money in Evan’s bank account if he starts with $2 and then has his money doubled daily.

How many days would Evan have to wait to have $68,719,476,740 in his bank account?

xy )2(2

Page 58: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Simplify:

2. A diving board has a price of $400. With sales tax, it will cost $420. What is the sales tax percentage?

3

6

265

15

)(25

xy

xyx

Page 59: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Simplify:

35

2322

2

)4(

yzx

zyx

Page 60: January 28, 2015 1.Katie needs to estimate the total number of stars in the universe for her science project. She knows that there is at least 125 billion

1. Simplify:

03523275

392322

)2(

)3()(5

yzxnmcb

zyxyx