It has been a while since we have talked and I wanted to fill you in on what I have been doing with myself the last few years. I have joined an organization called the CORE. The CORE stands for the Congress of Racial Equality. This group played a huge role throughout the years. they lead and participated in may events over the years and in doing so made a difference for thousands of African Americans. The reason I am telling you this is because this groups holds a place in my heart and I wanted to see if you could also help us but first let me tell you more. A racial group of young people who were students in Chicago. The founded CORE in 1942 there names were Bernice Fisher, James R Robinson, James L Farmer Jr. , Joe Guinn, George Houser and Homer jack. Some of these students I names were members of Chicago branch of the fellowship of Reconciliation. An organization to change racist attitudes. The reason the students started CORE is because there influence by Mahatma Gandhi who strongly believed in nonviolent resistance. I am not African American and have not endured the punishments they have over the years because of the color of their skin. However being a gay woman, I have endured other forms of discrimination. It is not ok to treat people differently and that is why I am reaching out to you because I know you feel the same. CORE has been very active over the years by organizing sit-ins. They traveled the country to look for activist to help them. They gathered almost all white middle class college students from primarily the Midwest. They main teaching was nonviolent action to their entire new activist. As they held sit-ins and picketed the necessary places to make there stand James Farmer became the first National Director of CORE in 1953. (In April of 1947 CORE sent eight white and eight black men into the upper South to test a Supreme Court ruling that declared segregation in interstate travel unconstitutional. CORE gained national attention for this...

...Patterns within systems of LinearEquations
HL Type 1 Maths Coursework
Maryam Allana
12 Brook
The aim of my report is to discover and examine the patterns found within the constants of the linearequations supplied. After acquiring the patterns I will solve the equations and graph the solutions to establish my analysis. Said analysis will further be reiterated through the creation of numerous similar systems, with certain patterns, which will aid in finding a conjecture. The hypothesis will be proven through the use of a common formula. (This outline will be used to solve both, Part A and B of the coursework)
Part A:
Equation 1: x+2y= 3
Equation 2: 2x-y=4
Equation 1 consists of three constants; 1, 2 and 3. These constants follow an arithmetic progression with the first term as well as the common difference both equaling to one. Another pattern present within Equation 1 is the linear formation. This can be seen as the equation is able to transformed into the formula ‘y = mx+c’ as it is able to form a straight line equation (shown below). Similar to Equation 1, Equation 2 also follows an arithmetic progression with constants of; 2, -1 and 4. It consists of a starting term of 2 and common difference of -3. As with Equation 1,...

...2014/9/16
LinearEquations
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LinearEquations
A linearequation is an equation for a straight line
These are all linearequations:
y = 2x+1
5x = 6+3y
y/2 = 3 x
Let us look more closely at one example:
Example: y = 2x+1 is a linearequation:
The graph of y = 2x+1 is a straight line
When x increases, y increases twice as fast, hence 2x
When x is 0, y is already 1. Hence +1 is also needed
So: y = 2x + 1
Here are some example values:
http://www.mathsisfun.com/algebra/linear-equations.html
x
y = 2x + 1
1
y = 2 × (1) + 1 = 1
0
y = 2 × 0 + 1 = 1
1
y = 2 × 1 + 1 = 3
1/6
2014/9/16
LinearEquations
2
y = 2 × 2 + 1 = 5
Check for yourself that those points are part of the line above!
Different Forms
There are many ways of writing linearequations, but they usually have constants (like "2" or
"c") and must have simple variables (like "x" or "y").
Examples: These are linearequations:
y = 3x 6
y 2 = 3(x + 1)
y + 2x 2 = 0
5x = 6
y/2 = 3
But the variables (like "x" or "y") in LinearEquations do NOT have:
Exponents (like the 2 in x2)
Square roots, cube roots, etc...

...Summer 2010-3 CLASS NOTES CHAPTER 1
Section 1.1: LinearEquations
Learning Objectives:
1. Solve a linearequation
2. Solve equations that lead to linearequations
3. Solve applied problems involving linearequations
Examples:
1. [pic]
[pic]
3. A total of $51,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds is to exceed that in CDs by $3,000, how much will be invested in each type of investment?
4. Shannon, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $608 for 56 hours worked. What is her regular hourly wage?
Answers: 1. [pic]
2. [pic]
3. $24,000 in CDs, $27,000 in bonds 4. $9.50/hour
Section 1.2: Quadratic Equations
Learning Objectives:
1. Solve a quadratic equation by (a) factoring, (b) completing the square, (c) the
quadratic formula
2. Solve applied problems involving quadratic equations
Examples:
1. Find the real solutions by factoring: [pic]
2. Find the real solutions by using the square root method: [pic]
3. Find the real solutions by completing the square: [pic]
4. Find the real solutions by using the quadratic formula: [pic]...

...Algebra I Chapter 5 Study Guide Writing LinearEquations
Name ________________
Due: Tuesday, January 17 (Exam week)
100 points
Writing LinearEquations in a Variety of Forms
Using given information about a __________, you can write an ________________of the line in _____________ different forms. Complete the chart:
Form (Name)
Equation
• •
Important information
The slope of the line is ____. The __ - ___________ of the line is _____. The slope of the line is _____. The line passes through ( ______, ______ ) A, B, and C are __________ numbers. A and B are not both ___________.
Slope – Intercept
Point – Slope
• •
Standard
• •
Try a few (Page 345 – 347) Write an equation in Slope – Intercept Form:
Algebra I
Study Guide Chapter 5
lopeWrite an equation in Slope-Intercept Form that passes through the given point and has the given slope m.
8. (23, 21); m = 4 y= m= x= b= 9) (– 2, 1), m = 1 y= m= x= b= 10) (8, –4) m = – 3 y= m= x= b=
Write an equation in Point-Slope Form that passes through the given points. oint11) (4, 7) (5, 1) 12) (9, 22) (23, 2) 13) (8, 28) (23, 22)
(Hint: you need slope)
(Hint: you need slope)
(Hint: you need slope)
-2-
Algebra I
Study Guide Chapter 5
Write an equation in Standard Form of the line that has the given characteristics....

...1 ) The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number.
2 ) A passenger jet took three hours to fly 1800 miles in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the jetstream's speed?
3 ) These circles are identical. What is the value of x ?
4 ) Solve for x using these twoequations: 2x + 6 = y; y - x = 2
5 ) The perimeter and the area of this shape are equal. What is the value of x?
6) Shobo’s mother’s present age is six times Shobo’s present age . Shobo’s age five years from now will be one third of his mother’s present age . What are their present ages ?
7)There is a narrow rectangular plot , reserved for a school in A Mahuli village . The length and breadth of the plot are in the ratio 11:4 . At the rate of Rs. 100 per meter it will cost the village panchayat Rs. 75000 to fence the plot . What rare the dimensions of the plot ?
8)Solve the following equations and check your results :
1 . 3x = 2x + 18
2 . 5t-3 = 3t-5
3 . 5x + 9 = 5 = 3x
4 . 4z = 3 = 6 = 2x
5 . 2x- 1 = 14 – x
9 )The organizers of an essay competition decide that a winner in the competition gets a prize of Rs. 100 and a participant who does not win get a prize of Rs. 25 . The total prize money distributed is Rs ....

...SYSTEM OF LINEAREQUATIONS IN TWO VARIABLES Solve the following systems: 1.
x y 8 x y 2
by graphing
by substitution
by elimination
by Cramer’s rule
2.
2 x 5 y 9 0 x 3y 1 0
by graphing
by substitution
by elimination
by Cramer’s rule
3.
4 x 5 y 7 0 2 x 3 y 11 0
by graphing
by substitution
by elimination
by Cramer’s rule
CASE 1: intersecting lines independent & consistent m1m2
CASE 2: parallel lines inconsistent m1 = m2 ; b1 b2
CASE 3: coinciding lines consistent & dependent m1 = m2 ; b1 = b2
Classify the following system, whether (a) intersecting, (b) parallel, or (c) coinciding lines 1.
3 x 4 y 1 0 3 x 4 y 2 0 3 x 4 y 1 0 6 x 8 y 2 0
Solve the following systems in three variables: 1. 3 x 4 y z 1 2. x y 2
x 4 y 3z 3 3 x 2 y 2 z 0
________
3 y z 1 x 2 z 7
2.
________
3.
2 x 5 y 1 0 5 x 2 y 2 0
2 x y 1 4 x 2 y 3 x 2 y 1 0 2 x y 1
________
4.
________
5.
________
1 x Solve 1 x
2 3 y 3 2 y
Problem solving Form a system of equations from the problems given below. A) (MIXTURE PROBLEM 1) How many pounds of a 35% salt solution and a 14% salt solution should be combined so that a 50 pounds of a 20% solution is obtained? B) (UNIFORM MOTION) Two...

...scientific hypothesis you would
Which of the following statements is not true?
Which of the following is a reason to express scientific findings mathematically?
Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?
A ladybug rests on the bottom of a tin can that is being whirled horizontally on the end of a string. Since the ladybug, like the can, moves in a circle, there must be a force on it. What exerts this force?
People in the future may well live inside a rotating space structure that is more than 2 km in diameter. Inside the structure, people on the inside of the outer edge will experience 1 g while people halfway to the axis will experience
As the rotational speed of a space habitat increases, the weight of people inside
A car travels in a circle with constant speed. The net force on the car
To weigh less in the Northern Hemisphere, you should go
The centripetal force exerted on stunt motorcyclist Biker Bob while riding on the inner vertical surface of a circular track is
Stunt motorcyclist Biker Bob rides his bike inside a futuristic rotating space station-a giant rotating donut-shaped structure in space. The normal support force feels like weight to him. As he rides his bike in the same direction that the station rotates, the normal force
Stunt motorcyclist Biker Bob rides his bike inside...

...Forum #2: LinearEquations in Real Life
Pick one of the following problems. Show how you would solve it using a system
of linearequations.
1) John spent $201 shirts and pants for work. Shirts cost $27 and pants cost $22. If he
bought a total of 8 articles of clothing, then how many of each kind did he buy?
2) A school dance has 228 students. There are 63 fewer girls than twice as many boys.
How many boys and girls attended the dance?
3) There are 15 animals in the barn. Some are ducks and some are pigs. There are 46 legs in
all. How many of each animal are there?
4) The sum of two numbers is 66. The larger number is three more than twice the smaller
number. Find the numbers.
5) A police academy is training 14 new recruits. Some are working dogs and others are
police officers. There are 38 legs in all. How many of each type of recruit are there?
6) A Boy Scout troop carries 57 boys on a trip in 8 vehicles. Each van can carry 14 boys,
while each car can carry 3 boys. How many vans and how many cars did the troop take?
7) A high school purchases two workbooks for every textbook, and two journals for every
workbook. If the school purchases 301 total items, how many of each do they need?
8) A mom bought 28 packages of Reese’s Cups with 88 total cups. Each king size package
holds 4 cups. Each regular size package holds two cups. How many of each size did she
buy?
9) A high school marching...

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