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Algebra

Simple Interest Formula

Interest = principle × rate × time • I = prtread as “I am pretty ”

Distance Formula

Distance = rate × time• d = rtremember as dirt

Linear Equations (Slope-Intercept Form)Begin, Move: the use of m and b in y = mx + b

To graph such a line equation, begin at the value of b, then move according to the value (slope) of m.Multiplying Binomials

Multiply the terms of two binomials in this order.For example (x- 2)(x + 1),FOIL: First, Outside, Inside, Last.

Word-Problem Solving Strategy

S-T-A-RSearch the word problem.Translate the words into an equation.Answer the problem.Review the solution.

Quadratic Formula

A song to remember the quadratic formula sung to the tune of "Pop Goes the Weasel"

x equals negative B Plus or minus square root of B squared minus four A C All over two A. Dividing One Fraction With Another

Keep the first fraction, Change the sign from divide to multiply, Flip the last fraction.

Kentucky Chicken Fried Kangaroo Candy Flowers Koalas Chasing Ferrets

Arithmetic (Spelling)

Spelling of Arithmetic: A Rat In The House May Eat The Ice-Cream.

Division Algorithm (How To Do Long Division)

Divide - Multiply - Subtract - Compare - Bring Down

Does McDonalds Serve Cheese Burgers? Does My Sister Cook Bananas?

Divide - Multiply - Subtract -Compare -Remainder

Does McDonald's Sell Cheeseburgers Raw?

Feet in a Mile

5280 feet = 1 mile 5 Tomatoes5 to (m)ate oe(s) 5 2 8 0 -- or 5,280 feet in a mile

Metric Unit Prefixes

Metric Units of Measure in Order

* Kilo* Hecto* Deca* Units [meter, liter, gram] * Deci* Centi* Milli

King Hector Doesn't Usually Drink Cold Milk. King Henry Danced [Merrily / Lazily / Grandly] Drinking Chocolate Milk. For the standard units you can insert [Merrily] for meter, [Lazily] for liter, or [Grandly] for gram.

Mode & Median

ModeThe mode is the value there are the most of

“MOde” and “MOst” have the same starting 2 letters.

The mode is the Most Occuring Data Entity.

MedianThe median splits the data down the middle, like the median strip in a road.

Which is the Numerator, which is the Denominator?

Think “Notre Dame” (N before D) nUmerator Up, Denominator Down Nice Dog (N before D)

Multiplying Signed NumbersAnalogies can help here.

From sports: we = pos, win = pos, they = neg, lose = neg, good = pos, bad = neg we win = good (pos × pos = pos) we lose = bad (pos × neg = neg) they win = bad (neg × pos = neg) they lose = good (neg × neg = pos)

From friendship:friend = pos, enemy = neg My friend's friend is my friend (pos × pos = pos) My friend's enemy is my enemy (pos × neg = neg) My enemy's friend is my enemy (neg × pos = neg) My enemy's enemy is my friend (neg× neg = pos)

From life: good = pos, bad = neg

A good thing happening to a good person is good. (pos × pos = pos) A good thing happening to a bad person is bad. (pos × neg = neg) A bad thing happening to a good person is bad. (neg × pos = neg)

A bad thing happening to a bad person is good. (neg× neg = pos)

Order of OperationsThe order of mathematical operations:* Parentheses* Exponents* Multiplication/Division (left to right)* Addition/Subtraction (left to right).

PEMDAS Mnemonics1. Please Excuse My Dear Aunt Sally

2. Please Educate My Daughters And Sons

3. Pursuing Education Means Dedication And Study

Roman numerals

Roman numerals: I =1, V = 5, and X = 10.I View X-rays.

Roman Numerals: I =1, V = 5, X = 10, L = 50 , C = 100 , D = 500 and M = 1000.I Viewed Xerxes Loping Carelessly Down Mountains.I Value Xylophones Like Cows Dig Milk

Roman numerals: L = 50 , C = 100 , D = 500 and M = 1000. Lucy Can't Drink Milk.

Use the first letter of each word to help you remember the integers zero through ten.

“Zowie! Only time travelers forge forward." said Sam, entering next Tuesday.

“quotation”

Mathematics is ... “Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true.” -- Bertrand Russell

“Mathematics is made of 50 percent formulas, 50 percent proofs, and 50 percent imagination.”

“Mathematics is the art of giving the same name to different things.” -- J. H. Poincare

“Philosophy is a game with objectives and no rules. Mathematics is a game with rules and no objectives.”

"Mathematics is a game played according to certain simple rules with meaningless marks on paper." -- David Hilbert

"Mathematics consists in proving the most obvious thing in the least obvious way." -- George Polya

"In mathematics, you don't understand things. You just get used to them." -- Johann von Neumann

"A tragedy of mathematics is a beautiful conjecture ruined by an ugly fact.”

“Mathematics is like love; a simple idea, but it can get complicated.”

"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."

“Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state.” -- Plato

Life is …‘Life is complex: it has both real and imaginary components.”

"Life is too short for long division."

"A man is like a fraction whose numerator is what he is and whose denominator is what he thinks of himself. The

larger the denominator, the smaller the fraction." – Tolstoy

"The arithmetic of life does not always have a logical answer."-- Inshirah Abdur-Rauf

"A few honest men are better than numbers." -- Oliver Cromwell

algebra

“Algebraic symbols are used when you do not know what you are talking about.”

“In modern mathematics, algebra has become so important that numbers will soon only have symbolic meaning.”

"Algebra is generous; she often gives more than is asked of her." -- D'Alembert

"One person's constant is another person's variable." -- Susan Gerhart

"I was x years old in the year x2." -- Augustus De Morgan (when asked about his age)

"Men are liars. We'll lie about lying if we have to. I'm an algebra liar. I figure two good lies make a positive.". -- Tim Allen

"We may always depend on it that algebra, which cannot be translated into good English and sound common sense, is bad algebra." -- William Kingdon Clifford

"I don't know why I should have to learn Algebra... I'm never likely to go there." --Billy Connolly

"As long as algebra is taught in school, there will be prayer in school. " -- Cokie Roberts

"It is hard to convince a high-school student that he will encounter a lot of problems more difficult than those of algebra and geometry." -- Edward W. Howe

"The most powerful single idea in mathematics is the notion of a variable." -– K. Dewdney

Game k nb??

Sudoku…Try to fill the grid with the integers 1 to 9 such that each row, column, and box (3×3 regions bordered by thick lines) contains a single instance of all the integers from 1 to 9.

The Puzzle: Solve the following:

ABCDEF × 3 = BCDEFA

The Solution . . .285714 × 3=857142 or 142857 × 3=428571

The Puzzle: Using the numerals 1,7,7,7 and 7 (a "1" and four "7"s) create the number 100.

As well as the five numerals you can use the usual mathematical operations (+, -, x, ÷ and brackets ().

For example: (7+1) × (7+7) = 112 would be a good attempt, but not right, because it is not 100.

We know of two solutions:

a) 177-77 = 100b) (7+7) × (7+(1 ÷ 7)) = 100

The Puzzle: The following equation is wrong: 101 - 102 = 1

Move one numeral to make it correct.

(Caution: Trick)

Move the numeral 2 half a line up to achieve 101-102 = 1

The Puzzle: Can you arrange the numerals 1 to 9 (1, 2, 3, 4, 5, 6, 7, 8 and 9) in a single fraction that equals exactly 1/3 (one third)?

Example that doesn't work: 7192/38456 = 0.187

The Solution . . .5832/17496 = 1/3

The Puzzle: How can I get the answer 24 by only using the numbers 8,8,3,3.

You can use the main signs add, subtract multiply and divide.The Solution . . .We know of two solutions.

1) Supplied by "mathsyperson":

8/(3-(8/3))

= 8/(1/3)= 24

2) Supplied by "puzzler09", using factorials:

((8 x 3!)/3)+8

= ((8 x 3 x 2 x 1)/3)+8= (48/3)+8= (16)+8= 24

The Puzzle: When asked about his birthday, a man said:

"The day before yesterday I was only 25 and next year I will turn 28."

This is true only one day in a year - when was he born?

The Solution . . .He was born on December 31st and spoke about it on January 1st.

The Puzzle: Which area is bigger: the total orange or the total red?

The Solution . . .Using the illustration below, we can calculate the following areas:

A(square) = 9 x 9 = 81;A(red) = 28.27 + 12.57 = 40.84; A(orange) = 81 - 40.84 = 40.16.Thus, A(red) > A(orange).

The Puzzle: How many outlines of triangles of all sizes and shapes can you trace in the figure?

The Solution . . . It has 37 outlines of triangles…

The Puzzle: A solid, four-inch cube of wood is coated with blue paint on all six sides.

Then the cube is cut into smaller one-inch cubes.

These new one-inch cubes will have either three blue sides, two blue sides, one blue side, or no blue sides. How many of each will there be?

The Solution . . .There are 24 with one side colored, 8 with three sides colored, 24 with two sides colored, and 8 with no sides colored.

Riddle…

Why should you never mention the number 288 in front of anyone ?Because it is too gross (2 x 144 - two gross).

How is the moon like a dollar? They both have 4 quarters.

Why didn’t the Romans find algebra challenging? Because X was always 10. How do we know that the following fractions are in Europe? A/C, X/C and W/C ?Because their numerators are all over C's. What do you get when you combine Einstein and Pytahgoras discoveries?E m c2 = m ( a2 + b2 )

Why did the dentist need to know math? Because they may need to do a square root canal.

What do you get if you add two apples and three apples? A high school math problem!

Why did the amoeba flunk the math test? Because it multiplied by dividing.

What makes arithmetic hard work? All those numerals you have to carry.

What are ten things you can always count on? Your fingers.

Why are misers good math teachers? They know how to make every penny count.

What kind of pliers do you use in arithmetic? Multipliers.

What do you call three feet of trash? A junk yard. (3 feet = 1 yard)

Why did the man sleep with a ruler? To see how long he could sleep.

How does a cow add? With a cow-culator.

Mathgical…

Multiply Up to 20X20 In Your HeadIn just FIVE minutes you should learn to quickly multiply up to 20x20 in your head. With this trick, you will be able to multiply any two numbers from 11 to 19 in your head quickly, without the use of a calculator. I will assume that you know your multiplication table reasonably well up to 10x10.

Try this:Take 15 x 13 for an example. Always place the larger number of the two on top in your mind. Then draw the shape of Africa mentally so it covers the 15 and the 3 from the 13 below. Those covered numbers are all you need. First add 15 + 3 = 18 Add a zero behind it (multiply by 10) to get 180. Multiply the covered lower 3 x the single digit above it the "5" (3x5= 15) Add 180 + 15 = 195.

That is It! Wasn't that easy? Practice it on paper first!

The 11 RuleYou likely all know the 10 rule (to multiply by 10, just add a 0 behind the number) but do you know the 11 rule? It is as easy! You should be able to do this one in you head for any two digit number. Practice it on paper first! To multiply any two digit number by 11:

For this example we will use 54. Separate the two digits in you mind (5__4).

Notice the hole between them! Add the 5 and the 4 together (5+4=9) Put the resulting 9 in the hole 594. That's it! 11 x 54=594 The only thing tricky to remember is that if the result of the addition is greater than 9, you only put the "ones" digit in the hole and carry the "tens" digit from the addition. For example 11 x 57 ... 5__7 ... 5+7=12 ... put the 2 in the hole and add the 1 from the 12 to the 5 in to get 6 for a result of 627 ... 11 x 57 = 627…

Square a 2 Digit Number Ending in 5

For this example we will use 25 Take the "tens" part of the number (the 2 and add 1)=3 Multiply the original "tens" part of the number by the new number (2x3) Take the result (2x3=6) and put 25 behind it. Result the answer 625.Try a few more 75 squared ... = 7x8=56 ... put 25 behind it is 5625.55 squared = 5x6=30 ... put 25 behind it ... is 3025. Another easy one!

A matHgical tRick…Here is a trick I ran across and found interesting.

Think of a 3-digit number where the difference between the first and last digit is at least 2 (for example, 124 works, 122 does not).

Reverse the number and subtract the smaller from the larger.Reverse this new number, and add it back to the result of Step obtained above.70% of the time you will get 1089.

Tattletale Dice

Draw three short lines, one above the other. Give the other person the dice. Turn your back.Tell the other person to do the following:

1. Choose a number and write it on the first line.2. Roll the dice.3. Add the numbers on the tops of the dice, and write the sum on the second line.4. Add the numbers on the bottoms of the dice, and write the sum on the third line.5. Add up the three lines and give the final sum out loud.6. Think hard for a few seconds. Then tell which number the other person picked.

Follow-Up Question: How would the trick work with 3 dice? With 1 die?

Magic Sum Magic

Explain to the other person that you have a special "square power" that allows you to create a magic square with any given sum.1. Show the other person Magic Square 15 (at right).2. Show that the rows, columns, and diagonals all add up to 15.3. Ask the other person to pick a number between 18 and 48 — one that can be divided by 3. He or she should pick one of these "magic sums": 18 21 24 27 30 33 36 39 42 45 48 4 9 2 3 5 7 8 1 6 4. Draw the new magic square.5. Have the other person check to make sure that the sums are correct.

Poems..

ANGLES

Angles are made,When two lines meet,

Their size depends on direction...They have different values,

Read in degrees,But all angles have a degree of perfection...

This angle's acute,

This one's obtuse,

And this one is 90 degrees,

While the acute one's so small,The obtuse one will fall,

He bends back like trees in a breeze..

And then you will find,Old Mr. Right,

It's 90 degrees- let's swim!!!He stands up so straight,Where his lines intersect ,

Like tennis court lines at the gym...

Well angles can't angle,Which means they can't fish,

And an angle can't grant you a wish...And angles aren't ANGELS,

Or witches or ghosts,And they can't be served as a dish...

Yet, there are all sorts of angles,For all sorts of needs,

Like there are all sorts of dogs,Of all sorts of breeds...

We're surrounded by angles,And I think it'd be found,

That without all these angles,Life would feel really round...

The End...

conformity

why must lifebe a diagonal matrix?

where every other paththat deviates from the main

is an unacceptable- zero

i'm tired of being a zero vector

i'm tired of being a zero vectorwith no direction

no dimensionand no magnitude;

what i need is another element - but that would be

a contradictionof my definition

A Math PoemMath can be a wondrous rhyme.

Makes students go round and round all the time.You can design equations to make shapes.

Or you can memorize them like an ape.Sometimes you can monkey a solution.

This may cause a revolution.But there really is no absolution.

Someone will always want to see the proofAnd then will discover it was a spoof.

Then comes the day to put it on the boardUsing old-fashioned chalk for the lord.

The prof will check for glitchesAnd look for funny variable switches.

Maybe you're lucky and maybe you're not.But if you aren't you'll be on the spot.

So kiddies, learn your calculus wellOr else the prof could ring your bell.

THE FRACTION STOREby

Gregory K.

I bought a quarter pound of eighths.I bought an ounce of thirds.

I filled a bag with seventeenths that I will feed the birds.

I found a ninth of thirty-eighths.I grabbed a single half.

The sixths and fifths were one-fourth off, and that caused me to laugh.

As I prepared to pay my bill, Well, that’s when things got strange.

Although they’re selling fractions there, they cannot figure change.

Math Poem

My mind is turning into scrambled eggs! What is x and y to the power of three?

Whole numbers, mixed numbers and absolute, exponents, integers and factoring trees.

Terms, expressions and what is the root? It all sounds like Greek to me.

I must write a poem for another class.

I’m running out of time much too fast.So I’ll talk about digits and my reaction, while I attempt to work these equations.

Mixed operations in an expressionmust be done in the following manner.

Please Excuse My Dear Aunt Sally, to help me remember the proper order.

Parentheses, exponents, multiplication, addition or subtraction,

that is the order of proper actionfor solving math, numbers and fractions.

With fractions when I multiplyit is best to quickly simplify,

the denominators remain the samethese do not need to change.

If fractions I add or subtractI must remember it works like this,

each denominator must be the samethen add the top like a list.

Multiply two positives they remain just that.Two negatives will spoil the batch.

Mixed signs will keep the minus too, keep this in mind or stay confused.

I wish that I could remember moreBut that is as far as I have gotten.

Off to bed I must go, or tomorrow I will feel rotten.