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?
January 29, 2015
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?
February 3, 2015
1.
Write two equations with the same slope but
different y-intercepts and then graph them on your
graphing calculators.
February 4, 2015
1.
Parallel lines have what in common?
2.
How do the slopes of perpendicular lines
compare?
February 5, 2015
y  4 x  6
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 6, 2015
1.
Write a linear equation in Intercept form for a line that
passes through the following points:
(-4, 8) and (2, 3)
February 9, 2015
1.
Write a linear equation in Intercept form for a line that
passes through the following points:
(1, 3) and (-5, 3)
February 10, 2015
1.
Write a linear equation for a line that passes through
the following points:
(-7, 3) and (-7, 9)
February 11, 2015
1.
Write a linear equation for a line that passes through
the following points:
(-6, 2) and (-9, 7)
February 12, 2015
1.
Prove if the following equations are equivalent.
y  4( x  2)  3
y  16  4( x  3)
February 13, 2015
1.
Write a linear equation for a line that passes through
the following points in Point-Slope Form:
(-9, 3) and (14, 52)
CHOCOLATE!
February 17, 2015
1. Find the missing angles x and y.
81°
x° y°
February 18, 2015
1. Find the missing angles x and y.
x°
78°
y°
February 23, 2015
1.
Write a linear equation in standard form for line that has a
−3
slope of
and a y-intercept of 9.
4
February 24, 2015
1.
Write a linear equation in standard form for line that has an
undefined slope and an x-intercept of 4.
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.
February 26, 2015
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.
March 5, 2015
1.
List 3 requirements for a Line of Fit.
March 10, 2015
1.
Describe how you find Q-points if you are trying to make a
Line of Best Fit.
March 11, 2015
1. The deepest part of any ocean is 36,960 feet. What is that
depth in miles?
4 x( x  3)
2
2. Simplify:
March 12, 2015
1. Is the point (3, 6) a solution to the following system of
equations?
4 x  y  18



12 x  8 y  12 
March 13, 2015
1. Find the solution to the following system of equations.
3x  y  5



6 x  2 y  10
March 16, 2015
1.
Graph and find the point of intersection.
4 x  y  6 


12 x  8 y  24
March 17, 2015
1.
Solve the following system by substitution method.
9 x  3 y  12


x  y  1 
March 18, 2015
1.
Solve the system of equations using substitution
method.
8 x  4 y  2 


 2 x  y  16
March 19, 2015
1.
Solve the system of equations using substitution
method.
 2 x  5 y  5 


4 x  10 y  10
March 20, 2015
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 nonBellefonte students attended?
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?
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?
March 25, 2015
1.
Solve the system of equations using elimination
method.
2 x  4 y  6 


3x  2 y  10
March 26, 2015
1.
Solve the system of equations using elimination
method.
7 x  5 y  8 


3x  3 y  6
March 27, 2015
1.
Solve the system of equations using elimination
method.
 2 x  3 y  12 


6 x  9 y  6 
March 30, 2015
1.
Solve the following system by either the substitution
or elimination method.
2 x  y  4 


 6 x  y  12
March 31, 2015
1. How many different ways are there to line
up 8 students to get free bacon cupcakes?
2.
Evaluate: 5!
April 1, 2015
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?
1. Solve the following inequality.
2 x  8  10 or  5 x  3  12
2. Solve the following inequality.
 5  2 x  7  11
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.
1. Graph the
following
inequality:
6 x  2 y  12
1. Find the missing value x. Round to the nearest tenth.
x ft.
3 ft.
6 ft.
3 ft.
2. Find the missing angle in the following diagram.
x°
25°
)
1. Graph the
following
inequality:
5 x  10 y  50
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?
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.
)
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?
1. The deepest part of any ocean is 36,960 feet. What is that
depth in miles?
4 x( x  3)
2
2. Simplify:
1. Write the system of
inequalities from
the graph.
1. Convert the following number to scientific notation:
175,000,000,000,000
2. Convert the following number to scientific notation:
0.0000000000 54
3. Simplify:
2 3
4
( 2a b c )(3abc )
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.
1.
What is the perimeter of a square with the same area as a
3 cm x 27 cm rectangle?
2.
Simplify:
3𝑥(9𝑥 2 𝑦 4 )(𝑥 10 𝑦 21 𝑧 9 )3 (−2)
1. Write the system of
inequalities from
the graph.
1.
Simplify the following:
 27 a b c d f g h j
2
6
7
3 8
(3abcd )(3ab cf ghj )(h )
2
4
2
6
2
25
7
1. Convert the following number to scientific notation:
175,000,000,000,000
2. Convert the following number to scientific notation:
0.0000000000 54
3. Simplify:
2 3
4
( 2a b c )(3abc )
1. Solve for x:
1 2
x  8  16
2
1.
Simplify:
2




 25 x 5 y 6 ( x 2 ) 5 9 xy 23 (3xyz ) 9 3  2  
  
 
 3 



3
  5 y 6 4 x 2  2 xyz 3  1  2 yz   

3 
7  

 
x  7 y   








4 0







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?
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?
Bonus – On the back of your paper
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?
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.
y  2( 2 )
x
How many days would Evan have to wait to have
$68,719,476,740 in his bank account?
1.
2.
Simplify:
5
6
2
25 x y ( x )
6 1 
5 y  3 
x 
A diving board has a price of $400. With sales tax, it
will cost $420. What is the sales tax percentage?
1.
Simplify:
2
2 3 2
(4 x y z )
5
3
2 x yz
1.
Simplify:
2
2
3
2 9 3
5( x y ) (3x y z )
5 7 32 2 5
3 0
( 2b c m n x yz )