Buried treasure. Ahmed has half of a treasure map,which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share their information, then they can find x and save a lot of digging. What is x?

The Pythagorean Theorem states to find the missing side of a right triangle you can square to know lengths and add the two together. The result will be the distance of the missing length squared.

A^2+b^2=C^2

We know that Ahmed has a map with a distance to the treasure of 2x+6.

We know that Vanessa has a map with a distance of 2x+4, after walking x paces north.

We are looking to solve for the number of paces north Vanessa must walk.

(number of paces north)^2+ (Vanessa’s distance)^2=(Ahmed’s distance)^2

Now we have a quadratic equation to solve by factoring and using the zero factor.

x^2-8x-20=0

(x – ) (x + ) = 0

Since the coefficient of x2 is 1 we can start with a pair of parenthesis with an x in each. Since the 20 is negative we know there will be one + and one – in the binomials. We need two factors of -20 which add up to -8. -1, 20; -2, 10; -4, 5; -5, 4; -10, 2; -20, 1

-10 and 2 will work

(x – 10)(x + 2) = 0 Use the zero factor property to solve each binomial, x – 10 = 0 or x + 2 = 0 creating a compound equation. x = 10 or x =...

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Algebra 1
Schools in California now have higher expectations to make it necessary for students to take a Algebra 1 course in order to graduate from high school. This requirement issues that it will help students achieve higher expectations and great problem solving skills in future references. People like Mitchell Rosen a licensed family counselor who also disagrees with having Algebra 1 be a requirement for high schools. In one of Rosens...

...Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis.
For historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or with qualifiers.
• As a single word without article, "algebra" names a broad part of mathematics (see below).
• As a single word with article or in plural, "algebra" denotes a specific mathematical structure. See...

...ALGEBRA
In all three of these problems there is use of all of the terms required: simplify, like terms, coefficient, distribution, and removing parentheses. There is also use with the real number properties of the commutative property of addition and the commutative property of multiplication. In what ways are the properties of real numbers useful for simplifying algebraic expression? The properties are useful for identifying what should go where and with what, to make it...

...Accelerated Coordinate Algebra / Analytic Geometry Part A
Dr. Khan, Ph.D., Fall 2012
ekhan@marietta-city.k12.ga.us
WHY ARE YOU TAKING THIS COURSE?
All Georgia high school students are required to take four years of mathematics. Taking Accelerated Coordinate Algebra / Analytic Geometry Part A is comparable to taking the typical ninth grade course, Coordinate Algebra AND the first half of the tenth grade course, Analytic Geometry. The reason...

...sense that there are many aspects of Algebra that the majority of people do not use on a daily basis. I think that this fact is what leads people to the false conclusion that Algebra is useless.
To better understand our topic, let’s define what we mean when we say “Algebra”. Webster’s dictionary defines Algebra as “a form of mathematics dealing with symbols and equations.” A guest in the mathematics forum on xpmath.com states that...

...The CENTRE for EDUCATION in MATHEMATICS and COMPUTING
PATTERNING
AND
ALGEBRA: ALGEBRAIC EXPRESSIONS
This resource may be copied in its entirety, but is not to be used for commercial purposes without permission from the Centre for Education in Mathematics and Computing, University of Waterloo.
Play the Late Delivery game first! Levels 1 and 2 are recommended. Click on http://www.bbc.co.uk/education/mathsfile/shockwave/games/postie.html or go to www.wiredmath.ca for...

...GUIDE
With sample test questions
MATHEMATICS / ALGEBRA |
Key Words and Converting Words to EquationsFractions Adding, subtracting, multiplying, dividing Simplifying Writing decimals as fractions StatisticsReading Tables and ChartsExponentsPre-Algebra and Algebra Special notation for multiplication and division with variable Algebra word problems Order...

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Financial Polynomials
MAT 221 Introduction to Algebra
Instructor: Neal Johnson
April 7, 2013
Problem 1
p=200
r=10
n=1
p(1+r)1
Reorder the polynomial 1+r alphabetically from left to right, starting with the highest order term.
p(r+1)
Multiply p by each term inside the parentheses.
pr+p
Replace the variable r with 10 in the expression.
p(10)+p
Replace the variable p with 200 in the expression.
(200)(10)+(200)
Divide 200...