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Mr. Clark's
World Famous Bellringers     

Welcome to my bell ringers.  My Bell Ringers and many of my videos star Cowboy Aloysius Rufus. Yes, that is the name his mother gave him; but his friends just call him Cowboy. Cowboy is a pretend freshman at Caruthersville High School. He is in several clubs, and will play sports if he can keep his grades up? He works down at the Burger King on the french fry machine. Cowboy is NOT the brightest math student I have ever had. He was talking during much of his elementary math classes so he is far behind. However, he is working hard, trying to pay attention, and making some progress. Mr. Clark

Cowboy Aloysius Rufus.

1. Cowboy's Coffee

Cowboy really likes his morning coffee! Cowboy Rufus recently paid
$18.96 for 3 pounds of coffee.
a. What is the cost per pound for this coffee?
b. How many pounds of coffee could he buy for $1.00? (try a proportion)
c. Draw a graph in the coordinate plane of the relationship between the number of pounds of coffee and the total cost.
d. In this situation, what is the meaning of the slope of the line you drew in part (c)? JYA

2. Cowboy's Plane

      Cowboy Rufus violated our class’s general rule: “Try not to act like a third grader!”  He threw a paper airplane across the room. Cowboy might soon be in detention or ISS, but it gives us the following math fun:
a. Write an equation and solve it to find the straight distance (x)  the plane traveled if it traveled at 6ft/sec and it stayed aloft for 2 seconds.
b. Determine the DOMAIN and RANGE.
c. Sketch an X-Y GRAPH to approximate the flight.
d.  If the plane flew in a curve would we need a different type of equation? JYA

3. Cowboy's Day Dream

     Cowboy is staring at the clock in art class.
He wants to divide the analog clock face with two
straight lines so that the sums of the numbers in
each part are equal. Is there more than one solution?  JYA

4. Cowboy Does not like Triangles, but Mr. Clark loves them like the problem he gave Cowboy below.

Assume that the center point of the intersection is X.   
If a point is randomly chosen on the square shown, what is the probability that it will be in triangle ABX?
2) triangle ADB?

5. Cowboy's Blazer wil be worthless someday.
Mom bought a blazer for cowboy. Now he has to bring his sister to school. SUVs depreciate as they get older. Suppose a Chevy Blazer that originally cost $25,600 depreciates by one-sixth of its value every year.
a) What is it worth after three years?
b ) When is the Blazer worth half of its initial value?

6. Cowboy's Jerseys

Cowboy Rufus has a soccer jersey (d) that is somewhere between 25 and 32.
     25 ≤ d ≤ 32
and his basketball jersey (e) is somewhere between 22 and 25.
     22 ≤ e ≤ 25,

Rufus has a favorite number (that might be a fraction) so to find his favorite number we need to find the set of all possible values of  d / e.

7. Rufus Takes Modine for Pizza.

Modine bought 1 slice of mushroom pizza and 2 slices of cheese pizza for a total of $4.

Rufus bought 2 slices of mushroom pizza and 3 slices of cheese pizza for a total of $7. 

1) What is the cost of one slice of mushroom pizza?

2) What is the cost of the chesee pizza?

8. Cowboy needs math for poker.
Because his math skills are lacking Cowboy losses much of his Burger King money when he plays cards. A card is chosen at random from a standard deck of 52 playing cards.

a)  What is the probability that the card is an Ace?
b) What is the probability that the card is a 5?
c) What is the probability of drawing 3 queens in a row?
d) What is the probability of getting this hand?

10. Cowboy makes 12.25 an hour at the Burger King.

He heard Mr. Clark tell the class that 5% of the people get 95% of the total salary paid in a county, and the average salary is $50,000, what is average salary of the highest paid people? (Mr. Clark said when you have a percentage problem think out of 100.)

11. Baseball Cowboy
Mr. Clark went to watch Cowboy Rufus play Baseball. Rufus is a freshman, right handed, and plays left field. He went 3 for 5 yesterday. The following chart represents the 65 man team.

1) What is the probability of picking a senior?
2)  What is the probability that a randomly chosen player is a junior OR a right-handed batter?
3) What is the probability that a randomly chosen player is a junior AND a right-handed batter?

12. Cowboy is seeing stars.

Mr. Clark told rufus to draw circles to separate all the stars from their immediate neighbors. 
What is the fewest number of circles required? Cowboy circled every star just in case.

13. Sleepy Cowboy
Cowboy was sleep in Geometry class. Thus his grade is slipping. When he got home he sees this problem, and has no idea??

The figure is made up of 5 equal rectangles. In the small rectangles the length is 3 times the width. If the area of each small rectangle is 192,
what is the big rectangle's length and width?

14. Cowboy in Love

Cowboy spent the entire Algebra class flirting with Modine Gunch. When
he got home and saw the first problem he could not even begin. So he called Modine and she had no clue also.

1) How many two-digit numbers have exactly five divisors including 1
and itself?
a. 2   b.9   c. 18     d.24    e. none of these

2) Find the complete Prime Factorization of the number 9100?

15. He is NOT Mr. Clark's best math student. The only distance Cowboy realy understands is the 125 steps he takes to his lunch room. Lunch is Cowboy's favorite class!

1) Find the distance from (-7,4) and (5, 6)

2) Find the distance from the origin to (- 9, -3)

3) Compare and contrast the Distance Formula and the Pythagorean Theorem.
 

16. Cowboy make the grade!

Cowboy Rufus received a 92 on his essay and a 70 on his final. He got an 69 on class participation. The essay counts as 30% of his grade. Class participation counts as 20% of his grade. The final counts as the remainder.
What is his average? SYW

17. Cowboy Aloysius Rufus is rich

Cowboy still works at the Burger King, but he dreams of being a millionaire some day. In his dream during the first week Rufus made $1. He made 4 times more than the previous week if the week was odd, and 2 times more if the week was even. How many weeks did he work before getting more than a million dollars?

18. Mr. Clark's Rubik's Cube

Cowboy took the color cube off Mr. Clark's desk.
He could not solve it until he took all the little
cubes apart and put them into their proper place.
This is the same way he works jig-saw puzzles;
the pieces always fit if you use the scissors.

The edges of a large cube are 3 times longer than
the edges of a small cube.
1) How many times greater is the volume of the
large cube than the small cube? JYA

2) Find the surface area and the volume if each small square is 2 x 2 cm.

19. Rufus broke his clock, so now he is determining periods of time with ropes?

It takes exactly 1 hour to burn a rope when he lights one of its ends. The rate of burning is completely random, but the final result is always 1 hour.What periods of time can he measure with 2 such ropes?

20. Mr. Clark has a problem about the Earth. All cowboy knows about the earth is that both he and the Burger King are standing on it.

If the Earth's radius is twice the radius of planet M, then how much bigger is the Earth's volume? V=4/3 r3

21. Cowboy Rufus keeps falling asleep in math class because he is playing videos games until 4 a.m. Now Mr. Clark comes up with a sleep formula to help him.

The hours of sleep need is equal to 34 minus your age divided by 2.

                                       h = (34-a) /2

1) work the formula for your age.
2) Work the formula for a baby. (1) Does the formula seem to work for babies?
3) Work the formula for old people like Mr. Clark (69) Does it seem to work? Why or Why not?

22. Your governor wants a human chain across Missouri for charity. St. Louis to Kansas City is 248 miles. Cowboy Rufus volunteered to do the planning, which means his math class must plan.

How many people will be needed if there are to be no gaps in the chain? What do you need to know?  What else do you need to plan for? Explain your plans for the logistics.

23. Modine travels from her house directly west to Cowboys house and then directly north from his house to the mall. She then travels home on the road connecting the mall and her house.

1) Draw a sketch of the trip. (hint: It is a triangle)
2) What is the distance of the hypotenuse?
3) What is her total distance traveled?

24. Fifteen billiard balls fit into a triangular rack. What is the largest number of the balls that fit into the rack when its side lengths are
#1 decreased by 20%?
#2 decreased by 40%?
#3 decreased by 60%?

25. Cowboy skipped school and got home to this????? Maybe he should have been in class for the explanation!

1) Factor 8 x y^2 — 4xy 

2) Simplify      12x^5 y^6

3)Simplify       21 x y^2

27. Cowboy Rufus wants to drive Mr. Clark's new ride.
Mr. Clark said yes he could if he could work the following problem.
A car travels 81 miles in 3 hours. If it continues traveling at the same rate, how many miles would it travel in 5 hours and 20 minutes?

28. Cowboy Rufus Walks to School

Rufus is still walking, but Mr. Clark said he might pick come by in his Nissan and pick him up some morning if he is standing out front. Cowboy now needs to figure when to be outside his house which is halfway between Mr. Clark's house and CHS. He always leaves his house and starts driving at exactly 4:45 a.m. If he drives on cruise control at 42 mph, he arrives at 5:03. If he sets his cruise to 50 mph, he arrives at 4:57.

1) At what speed should he travel to arrive at CHS at exactly 5:00?  
2) How far away does Mr. Clark live?
3) If he travels at the speed you solved for in problem 1, what time will he go by cowboy's house.

29.Cowboy Rufus’s sugar cookie recipe calls for 2 &1/4 cups of flour. It makes 2 dozen cookies.|

1) How much flour should he use to make ⅔ of a batch? How many cookies is that?
2) How much flour should he use to make 7 batches. How many cookies in 7 batches?

30. Can Cowboy Rufus Ride a Horse? Yes, of course. When your mother names you Cowboy Aloysius Rufus, you learn to ride well.  This problem was found in a 5th grade math book published in 1881. “See if you are smarter than a fifth grader?

If a horse trots 3 miles in 8 minutes and 15 seconds, how far can he trot in an hour at that same pace?

31. Modine is Picking Up Litter
Modine has to work 75 hours of community service for her Beta Club. She has already worked 15.75 hours. How many hours a week will she have to work for the next 11 weeks in order to complete her community service.

32.Cowboy Can Play a Guitar!              

On a website, Cowboy sold his old guitar for $228.50. The website took out its fee, which was 6.5% of the selling price, before transferring the rest of the money to the musician. How much money did Cowboy receive?

33.MONEY! Rufus banked his Burger King money last month and now has $500. Modine has 250% as much money as Rufus.  In his wallet Mr. Clark has 546% of Modine’s money. What is the sum of Rufus, Modine, and Mr. Clark.

34.

35.

36.

38.

39.

40.

41.

42.

43.

44.

45.

46.

47.

48.

49.

50.

51.

52.

53.

54.

55.

100.

If f(x) = x2 + 4x and g(x) = -2x + 1, then

#1  fog= 

#2 gof=

#3   fog(-1)

102.

31.

32.

33.

34.

35.

29.

30.

31.

32.

33.

34.

100.

Cowboy Rufus’s sugar cookie recipe calls for 2 &1/4 cups of flour.
It makes 2 dozen cookies

Interest Chart

Mr. Clark drives his antique Rolls 36 miles on 4 gallons of gasoline. How many ounces of gasoline does it take to drive 257 miles?

Hint 1 gallon =  128 oz

Modine works a part-time job at a local clothing store. She is single, and her taxable income for 2005 was $5,500.
#1 How much federal income tax should she pay?
#2 What will her salary be and how much tax next year if her salary is reduced 2%?

There are 8 people in a
village. They eat exactly 8 coconuts all together. Each man eats two coconuts, each woman eats a half, and each child eats a quarter.

What ratio represents the probability of drawing a red card from a standard deck of 52 cards?
#2 What ratio represents drawing two reds in a row?

Cowboy Rufus used 5/9 of his 15 pound can of sugar to make some cookies and 3/18 to make brownies.
How many ounces are left in this can?

Crazy Rufus Shirts L.L.C.  sells sweatshirts for $28 and T-Shirts for $18. The daily fixed cost is $7800. The cost of producing the sweatshirts is $14 each, and the cost for the T-shirts is $6 each. Find an equation for the break-even point for the daily sales. Then find the XY Zeros.

 
predilection

NOUN - a preference or special liking for something

If Rufus starts at the corner and mows around the lawn in a spiral toward the center, how many times around must he go before he has mowed the lawn?

 analyze

verb - examine in detail

In this figure, sin(a) = 2/3  
#1 What is the value of cos(b) ? #2 What is the tangent of a?

 dynamic

adjective - characterized by constant change

• determine

verb - 1. cause (something) to occur in a particular way;

 compassion

noun - concern for the sufferings of others

#1Simplify      12x5y6
                                         21x y2

#2
Factor 8xy2 — 4xy

 genealogy

NOUN - a line of descent traced continuously from an ancestor:

Modine is taking advantage of a 25% off sale to buy a new coat. If the coat's sale price is $135, what was the original cost?

 Cryptic

mysterious; mystifying

If the hypotenuse of a right triangle is 10 inches long and one of its legs is 5 inches long, how long is the other leg?

 Kinetic

relating to motion

Graph each equation using the x and y intercepts.
#1  4X + 8y— 16 = 0

#2      2x + y - 4 = 0

#3        7x – 3y  =0

 regalia

Royal Boat race;
Or just royal surroundings

 Blasphemy

irreverence; an insult to something held sacred; profanity

Multiply.
(2x + 1)(3x2 + 2x)

 Laissez Faire

governmental theory stating government shouldn't interfere with economy; to let act in freedom

ingratiate

VERB - bring oneself into favor with someone by flattering or trying to please them:

 Lax

careless; not diligent; relaxed

Multiply (foil)
(4x - 5)(4x + 5)

 Loquacious

talkative

Multiply  (foil)
(x + 5)(x - 6)

 Filibuster

to obstruct legislation by exceptionally long speech meant to prevent legislation

#1 Find the supplement of an angle that measures 20 degrees.
#2 Find the complement of an angle that measures 20 degrees.
#3 Find the supplement of an angle that measures 120 degrees.
#4 Find the complement of an angle that measures 120 degrees.

 ziggurat

ancient Mesopotamian, pyramid-like structure

Multiply (3x - 2)2

 Lugubrious

Dismal

A circle is tangent to the side of equilateral triangle ABJ and the radius r equals 10. What is the perimeter of
△ ABJ?

 thermodynamics

physics of energy

Pairs of primes separated by a single number are called prime pairs. Examples are 809, 811. #1 The number between a prime pair is always divisible by what number?
#2 Find all the prime pairs less than 100.

attract

 If a point is randomly chosen on the regular hexagon shown, what is the probability that it will be in a green section of the figure? #2 What is the probability of not yellow?

 Rejuvenate

to make young and strong again

 totalitarian

controlling the freedom, will or thought of others

Rufus is making boxes from cardboard. He is going to cut square pieces off each corner as shown in the diagram and fold the sides up. Which size of square pieces would give a larger box in terms of volume?

a = 1    a =2
a = 3     a=4
a = 5

 Toxic

 Skeptical

The PE class is shooting free-throws. The students shoot 50 free throws each. Find the mean and the percentage for each student.

Doubting

 
proponent

NOUN - a person who advocates a theory, proposal, or project:

The edges of the large and small circles touch each other. What percent of the large circle is shaded?
Hint:

 coherent

adjective -logical and consistent

secede

VERB -withdraw formally from membership in a union or organization.

 
gape

What is the area of a garden?
Hint: 3-4-5 triangles

befall

Verb - something bad happening

Modine has eight dimes; five are real, and three are fake. Whenever a real dime is flipped, it comes up heads with a probability of 0.5 A fake dime comes up heads up with a probability of 5/6. What is the probability that a randomly chosen coin will come up heads?

 burgeon

verb - begin to grow or increase rapidly;

#3 twelve square units  ??? 

Dispute

Solve for x.
#1     8 = x + 13
#2      -6x = -42

#3     7x +5 = -23

#4    x/6 - 4 = -12

to revere; to treat as something holy, especially because of great age.

 Venerate

The total cost of 5 of equally priced air filters is $15.00. If the cost per air filter is decreased by $0.50, how much will 8 air filters cost at the new price?

 Bellicose

eager to fight (pugnacious)

Bobby chooses five tiles with the letters of his name and places them into a bag.  He randomly selects one tile after another. What is the probability that he chooses the tiles in the same order as his name?

 expedite

You roll one die.
#1 What is the probability that you roll a 6?
#2 What is the probability that your number will be odd?
#3 If you only roll numbers greater than three, What is the probability that your number will be odd?

 Innumerable

too many to number or count; many

In the figure above, r1 and r2 are the radii of two circles which have the same center. If the area of the yellow region is 32 and the ratio of r1 to r2 is 1:3, what is the area of the blue circle?

 Belie

to be in contradiction with (misrepresent)

A drawer contains 4 green crayons and 5 blue crayons. What is the probability that you select two green crayons if you reach in the drawer and randomly grab two crayons without replacement?

 Hemoglobin

oxygen-carrying pigment of red blood cells

If w x 4y z 3 > 0 and z < 0, which of the following must be true?

 Homogeneous

of the same kind; essentially alike

If  the arithmetic mean of 3x and 9x is 18, what is the value of x?

 Hegemony

predominant influence of one nation over another

What is the probability that he finds himself at point #1 B  ?    
#2 A?

 flee

6-pack: $2.29
12-pack: $3.99
24-pack: $5.99

Rufus went to the grocery store to buy some Pepsi. Pepsi comes in three different packages: 6-pack, 12-pack, and 24-pack. The costs of each are shown. Which of the 3 packages gives you the best deal or best unit price?

 Vilify

to say vile things about; to defame

If 2(k – 11) = 5, what is the value of k?

 Bowdlerize

to remove objectionable content from a written work (expurgate)

#1 On a field trip a school bus travels 129 total miles in 3 hours. How far did it go in 2 hours?
#2 If the driver makes $65 plus $10 an hour while driving, how much did the driver make on this trip.

 yeoman

a worker; manual laborer

Rufus always starts driving at exactly 7:00
If he drives on cruise control at 24 miles per hour, he arrives at his parents late.  If he sets the cruise control to 48 miles per hour, he arrives at his parents early. The amount of time he is early is also the amount of time he is late. How fast should he go to get to his parent’s house exactly on time?

Modine plants some flowers in her backyard. She plants 3 zinnias and 5 verbenas in each of her 2 flower beds. #1 What is the total number of flowers she planted? 
#2 If she doubles the amount planted each day, how many flowers will she plant in the first week?

incorrigible

ADJECTIVE - (of a person or their tendencies) not able to be corrected, improved, or reformed:

A lion's heart beats 12 times in 16 seconds.
#1 How many heartbeats will it have in 60 seconds?
#2  How many heartbeats will it have in three hours?
#3 How many heartbeats will it have in a week?

 usurp

to seize and hold without legal right

   enamor

Solve for x
#1       x3 = 216
#2       X2 = 144
#3       X4 = 81
#4      X3 = -1
#5      X5 = 32
#6       x = i2
 interjection

NOUN - In grammar, an interjection or exclamation is a word used to express a particular emotion.

#1  It took 5.5 hours to drive 154 miles on the part of the Natches Trace Parkway. What was the average rate of speed?
#2   How long to drive the entire 444 miles at this average?

 vortex

whirling mass or air, water, fire or energy

If the Earth's radius is twice the radius of planet M, then how much bigger is the Earth's volume?
 V=4/3 r3

 splice

Calculate the average (arithmetic mean) of these seven numbers. (rounded to the nearest tenth)
35, 19/4, -78, ½,
54, -22, 103

 Ambivalent

undecided; blowing hot and cold

The profit in dollars from a charity auction is given by the function
f (x) =[ (30x -600)/x] + j
where x is the number of items sold and j is a constant. If 60 items were sold today for a total profit of $600, what is the value of j?

tempestuous

stormy or turbulent

  obscure

#1 What is the probability of getting a head with the flip of a coin?
#2 What is the probability of getting five tails in a row?

 vacuous

lacking ideas; Unintelligent

 jocular

Variables x and y are in direct proportion, and
y = 35
when x = 2m.
If x = 8m, then y =

 Propriety

properness; good manners

If  (h- 6)/h  =  49/55
, what is the value of h?

A) 43
B) 49
C) 55
D) 330
E) 366

 vehement

with conviction

#1 What is the approximate
area of the colored shape?
#2 Write the equation for line BC.

 ruthless

The amount of money Rufus earns varies directly with the number of hours he works. He worked 40 hours and earned $560. What is the constant of variation for Rufus's earnings?

 Tenacious

tough; hard to defeat

The average of 7 consecutive odd integers is 7. What is the greatest and least of these 7 integers?

 unctuous

Overly flattering

Crazy Rufus  T-Shirts sells sweatshirts for $28 and sweatpants for $18. The daily revenue of the company is $21 ,200, and the daily fixed Cost is $9800. The cost of producing the shirts is $18 each, and the cost for the pants is $6 each. Find the break-even point for the daily sales of either pants or shirts.

mentor

Suppose E is an event whose probability of occurring is 2/3.

 Bias

tendency; tilt

If

= p,
what is the value of p?

 Churlish

lacking manner (boorish)

#1 How many revolutions does it make in one minute?
#2 How many revolutions does it make while Crazy Rufus loses points because he is sleeping through 15 minutes of Geometry Class?

 whet

 Estimate the rate of change of the graphed function over the interval

•  4 ≤ x ≤ 0

 Stanza

a section of a poem; verse

The perimeter of square P is 12 times the perimeter of square Q. If the perimeter of
Q = 20,
what is the length of one side of P?

 Chromosome

threadlike DNA-containing structure

The figure shows a pyramid made of small squares. I want to move the small squares and transform the pyramid into a big square. What is the lowest possible number of moves that need to be made?

 vegetate

Solve the system of equations
2x - 3y = 16
3x + 2y = 11

to strive to equal or excel, usually through imitation

 Emulate

The operation b ⦿ c is defined by (9b + c)/bc
If d 2 ⦿ 10 = 1, which of the following could be a possible value for d?

 Apocryphal

of doubtful origin; false

In a regular hexagon each side is S. What is the area of the hexagon in terms
of S?

 Fiduciary

financial person; related to public trust, esp. regarding currency

            a

b         c

d
If a and d are 59 degrees. In the figure above, what is the value of     b – c ?

 Hubris

excessive pride or self-confidence

If q is a positive integer, let q be defined as the set of all multiples of q. Which set below can be found in all sets 2, 5 and 7 ?

 Chicanery

artful deception (subterfuge)

Let P = (M + N)/2
 and let Q = 2MN/(M+N)
If P = Q, which of the following must be true?

 Assuage

to soothe; to pacify; to ease the pain of; to relieve

You have a roll of tape that is 60 meters long. #1 How many cm. do you have?
#2  How many more meters do you need to make a kilometer?
#3 How many yards do you have?

compulsive

ADJECTIVE    resulting from or relating to an irresistible urge

#1  Find the value of the greater root of
x2 - 6x + 5 = 0.

#2  Find the value of the greater root of
x2 - 13x + 12 = 0.
#3 Find the value of the lesser root of
x2 + 14x + 45 = 0.

 Prodigious

extraordinary; enormous

#1 150 is what % greater than 100?

#2 275 is what % greater than 100?

#3 125 is what % less than 500?

 Mitosis

cell division resulting in chromosomes

A Truck weighs 15 tons.  #1 How many pounds is that? 
#2  How many ounces?
#3 How many kilograms?
 assent

The graph shows a quadratic function which models the value of an investment, y (in thousands), x months after it was first made in March .
#1 In approximately which month did it reach its MAXIMIUM value?
#2 In approximately which month was the value increasing the FASTEST?

 Torpor

sluggishness; inactivity; apathy

#1  4 x 10-5 =

#2  What is equivalent to (x)(x)(x)(x3), for all x?

There are 15 balls in a box: 8 balls are green, 4 are blue and 3 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box?

The length of a rectangle is 3 times its width. If the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?

If the hypotenuse of a right triangle is 10 inches long and one of its legs is 5 inches long, how long is the other leg?

In the standard (x,y) coordinate plane, the graph of (x + 3)2 + (y + 5)2 = 16 is a circle. What is the circumference of the circle, expressed in coordinate units?

#1 Find all solutions to the equation
x2 - 7 = 0?
#2 A circle with center (4,-5) is tangent to the y-axis in the standard (x,y) coordinate plane. What is the radius of this circle?

 pacify

What is the probability of getting all heads with the flip of a 5 coins?

 Contrite

deeply apologetic; remorseful

The figure is made up of 5 equal rectangles. If the area of each rectangle is 36, what is the value of t and r?

 suffragist

an advocate for the right to vote for women

 mar

 What is the slope of line segment AB?

 Exemplify

to serve as an example of

In the figure,
∠QPR = 30°, ∠QRS = 60°,
and ∠C = 90 and the length of PR is 6. What is the area of △PQR?

Q                           6   C            r           p

A   5 √3   B   7   √ 3 C   9   √ 3 D   6   √ 3 E 12

 tectonic

of or pertaining to structure

 bilk

Consider the line in the coordinate plane that passes -through the point
(-7, -3) and the origin (0,0). Find the slope of a line perpendicular to the line described.

 Facilitate

to make easier

If    4m + p = 2n
and 4m + 2n + p = 12 ,
what is the value of n?

Taxonomy

the study, technique or study of classification

#1 The sum of N consecutive integer numbers is 2090.
The smallest number is 101.    Find N.
#2 What is the sum of the numbers from 1-100?

  tirade

Consider the line in the coordinate plane that passes through the point (-7, -3) and (5, 7).
Find the slope of a line parallel to the line described through y = 4.

 Gamete

male or female sexual reproductive cell

Modine earns k dollars per day. At this rate, how many days will it take her to earn z dollars?

 Deciduous

shedding seasonally (ephemeral)

Given two points, Find the slope of the line Then the equation of this line in point-slope form.   
#1  (  1 ,  2 )and   (3 , -2)   
#2  (-1 ,-1 )and( -4 ,  -11)                 

 extremity

#1 Line L passes through the points (a, 2a) and (b, 2b), where a ≠ b. Determine the slope of line L.
#2 What is the slope of a vertical line?
#3 What is the slope of a horizontal line?

Saccharine

sweet; excessively or disgustingly sweet

If H is the set of all integers greater than π, and I is the set of all integers less than π 2, how many integers are in both sets?

 Circumnavigate

to travel around the world

Rufus, Modine, and Gertrude will have a paintball duel.  They shoot at the same time. If each student randomly chooses one of the other two and successfully shoots them. What is the probability that at least one will survive?

1/3

 probe

What is the slope of the linear function?

 Pretentious

pompous; self-important;

Which of the following could be the remainders when 5 consecutive integers are each divided by 4?

 Circumlocution

indirect expression (rambling)

Use standard probability to determine what his quiz grade will be.

 compatible

What is the slope of the line shown in the graph?

 Nostalgia

  a sentimental longing for the past; homesickness

A book-binding machine makes ten books per minute. If the book-binding machine runs for one hour each day, how many days will it need to run to produce 6,000 books?

 Deleterious

harmful to health (injurious)

Given a slope and a point, find the equation of a line. Leave your answer in point-slope form.
#1 m =   3    ( 1 , 2 )
#2 m =  7    ( -2 , 8 )

 cram

The slope of a line M is -4/7. 
#1 What is the slope of a parallel line
to M ?

#2 What is the slope of a perpendicular line to M?

 Merger

a joining or marriage

To arrive on time a bus needs 21 hours to complete a normal trip.
If the bus must arrive
in 14 hours, by what percent must the speed of the bus be increased?

 Diffident

lacking self-confidence (unassertive)

 detain

In inches, Modine is 5 inches shorter than twice the height of Rufus, who is 32 inches tall.
#1 How tall is Modine in inches?
#2 How tall is Modine in centimeters?

 Irascible

Irritable

Point A lies on the line with equation
y – 5 = 2(x – 1).
If the x-coordinate of A is 8, what is the y-coordinate of A?

 precipitous

with excessive or careless speed; very steep

Given these equations in point-slope form, find the slope and the indicated point.
#1     y   - 1 = 2(x  - 3)
#2  y  -7  = - 8(x  + 9)                                                             

 detest

Multiply (4x - 5)(4x + 5)

 Hindrance

an obstruction; an annoying interference or delay

r and s are two different positive integers and r is greater than s. If r 2 – s 2 = 17, what is the value of rs?

 quasar

distant yet high energy astronomical object

#1 Write the slope equation.
#2 Write the point-slope equation.
#3 Write the slope-intercept equation.
#4 Write the Standard for of a line equation.

 frugal

Rufus is trying to save money for a new video game console that costs $325.18. He has already saved $147.15. If he saves $25.65 a week, how many weeks will it take to make enough to buy the console?

#2 Rent One will let him rent to own the same console for $14 a week for 18 months.  How much more will he pay if he gets it at Rent One?

 Blithe

carefree; cheerful

A broken washing machine will cost you $100 to repair, and a new washing machine will cost $400. Luckily, the new energy-efficient washing machine will save you $12 per month on your water bill compared to your current washing machine. How many months of savings from the new washing machine will it take to equal the difference in cost between buying a new washing machine and repairing it?

 quotidian

commonplace; daily

 hospitable

Multiply and simplify.
(x + 3)2

 Heed

  to listen to

Mary goes on a 56-mile bike ride every day. Mary completes the distance in 4 hours. At this rate, how many miles can Mary pedal in 3 hours and 30 minutes?

 recapitulate

to restate briefly

   gall

Multiply.
(2x + 1)(3x2 + 2x)

 Enthrall

to thrill

After the first term, each term in a sequence is s times the preceding term and t is the first term of the sequence. If the ratio of the seventh term to the fourth term is 8, what is a possible value of s ?

 reciprocal

Mutual

 garble

In two years Rufus will be 8 times older than Modine who is less than 10. How old is Modine and Rufus?  Is there more than one answer?

 Divert

to change the direction of;

reparation

In a certain class, 1/2
of the students are girls and 2/5 of girls are sophomores. If  1/2
of sophomore girls have passed the class, which of the following could be the total number of students in the class?

repayment for damage, loss or suffering; sum of money paid by victorious country to the defeated one

On a blueprint, 3 cm. represents 10 ft. 
#1How long would the line be that represents 15 ft.?
#2  A line on the blueprint is 14 cm.  what does it represent?

Modine has to work 77 hours of community service for her honor society,  and to get into her college. She has already worked 11 hours. How many hours and minutes a week will she have to work for the next 12 weeks in order to complete the community service?

 Dearth

a lack of; scarcity

X is 2/5 of m and m is 9/10  of n.
If n > 0, x is what fraction of n?

 respiration

Breathing

 impale

Modine is about to lose her marbles! She has 3 jars inside each of 4 buckets. There are 12 marbles in each jar and 13 loose marbles in each bucket. How many marbles is Modine about to lose?

 Hypothetical

uncertain; unproven

If r – 3s = 1,
s = t + 3
and t = 2, What is the value of r?

 sanguine

cheerfully optimistic; reddish

The sum of two consecutive numbers is 365.  Find the numbers.
The sum of three consecutive numbers is 261.  Find the numbers.

  wilt

Multiply (3x - 2)2

 Ambulatory

able to walk; walking

Two buses both had to travel 140 miles for a field trip. Bus X traveled at an average speed of 70 miles per hour. If bus Y averaged 55 miles per hour during the same trip, how many miles had bus Y traveled when bus X arrived at the destination?

 Soliloquy

self revealing monologue delivered alone on stage

Multiply
(x + 5)(x - 6)

 Recalcitrant

stubbornly defiant of authority or control

If
3p + q = 9p + 4, what is q in terms of p?

 subjugate

to make submissive or servile

Evaluate the expression
(a2 - b)3 -2
#1     if a = -2 and b = 5

#2     if a = -3/4 and b =1/2

 -

process by which green plants convert CO2 into oxygen

Out of 70 students in a certain class, 14 own a Sony™ PlayStation and 54 own a Nintendo™ Wii. If 8 students don't own either of them, what fraction of the students owns both a Sony™ PlayStation and a Nintendo™ Wii?

 pecuniary

involving money

Simplify:

 wrought

worked; produced by beating with a hammer

A square garden is 401 square meters. If the minimum distance between other apple trees or the fence is 5 meters. How many trees are there?

 succor

The function table shows a rule which takes a number, x, doubles it and then adds six. The result is y. Which numbers correctly complete the table?

 tenuous

very weak or slight:

#1 A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon of gas?
#2 If he plans to travel 2000 miles on his vacation how much money is needed for gas at 3.59 a gallon.

 xenophobe

person who fears or hates foreign people or foreign things

Guess how many tennis balls can fit in a school bus?   10-1  102  103  104  105   106 107 108  109
How could you model this problem for an accurate solution?

 embark

If c = 21 and  d =18,
then
#1      2c + 4d =
#2     4 c2 – 2 d =

 incessant

ADJECTIVE - something unpleasant continuing without pause