Algebra
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Algebra
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http://course-notes.org/Algebra
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food analysis
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An Introduction to Hyperbolas
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Hyperbolas don't come up much ? at least not that I've noticed ? in other math classes, but if you're covering conics, you'll need to know their basics. An hyperbola looks sort of like two mirrored parabolas, with the two "halves" being called "branches". Like an ellipse, an hyperbola has two foci and two vertices; unlike an ellipse, the foci in an hyperbola are further from the hyperbola's center than are its vertices:
Equations and Explanations
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All Rights Reserved: http://regentsprep.org Algebra 2 ? Things to Remember! Exponents: 0 1x ? 1m m x x ? ? ?m n m nx x x ?? ?( )n m n mx x? m m n n x x x ?? n n n x x y y ? ? ?? ?? ? ( ) ?n n nxy x y? Complex Numbers: 1 i? ? ; 0a i a a? ? ? 2 1i ? ? 14 2 1i i? ? ? divide exponent by 4, use remainder, solve. ( ) conjugate ( )a bi a bi? ? 2 2( )( )a bi a bi a b? ? ? ? 2 2a bi a b? ? ? absolute value=magnitude Logarithms log yby x x b? ? ? ln logex x? natural log e = 2.71828? 10log logx x? common log Change of base formula: log log logb a a b
Equations and Explanations
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All Rights Reserved: http://regentsprep.org Algebra 2 ? Things to Remember! Exponents: 0 1x ? 1m m x x ? ? ?m n m nx x x ?? ?( )n m n mx x? m m n n x x x ?? n n n x x y y ? ? ?? ?? ? ( ) ?n n nxy x y? Complex Numbers: 1 i? ? ; 0a i a a? ? ? 2 1i ? ? 14 2 1i i? ? ? divide exponent by 4, use remainder, solve. ( ) conjugate ( )a bi a bi? ? 2 2( )( )a bi a bi a b? ? ? ? 2 2a bi a b? ? ? absolute value=magnitude Logarithms log yby x x b? ? ? ln logex x? natural log e = 2.71828? 10log logx x? common log Change of base formula: log log logb a a b
1001 Math Problems
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Algebra 1 Comprehensive Review Questions
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Name: _____________________ Miss Wexler Alg I Review Comprehensive Algebra I Review Simplify: 4 + 2 ??22 ? 6 ? 6 Evaluate 6x ? y if x = 4 and y = ?2 6(x ? y) Express algebraically and solve: Five less than twice a number is nine. Compare using >,<, or =: -??6? ______ -?4 - (-2)? Simplify: 14 ? (?6) ? [3 ? (?5)] Multiply: (-a)(-2b)(-c) Simplify: ?(-14x - 22) Solve: ?y + 5 = 17 5c = -20 8 32 = 2n ? 3n + 5n 5 = 4 + 9y ? 2 7 Express algebraically and solve: Three times a number, decreased by 8, is the same as twice the number, increased by 15. Find the number. The length of a rectangle is 5 greater than 3 times its width. The area of the rectangle is 22 cm2. Find the length and the width of the rectangle. (Use Algebra to solve.)
math
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2+2=4
Simplifying Expressions
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The purpose of this assignment is to give students practice with simplifying complex mathematical equations. You will be expected in Pre-Calculus and Calculus to be able to perform such operations. Due: Friday, August 5 Please scan and email or mail in a copy of this assignment. You need keep a copy of this assignment for yourself and bring it in August. After working each problem write a short paragraph describing the methods that you used to arrive at your answer. (Note: You should write your work on a separate page that should be neatly organized and turned in with this page.) Problem 1 A) Show the following are equivalent. (Le. Show the algebraiC steps needed to go from one expression to the otheL) {X+h - >IX 1 h ';x+h+>IX
AP US History
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Chapter 9: DBQ: The decision of the Jackson administration to remove the Cherokee Indians to lands west of the Mississippi River in the 1830?s was more of a reformulation of the national policy that had been in effect since the 1790?s than a change in that policy. Assess the validity of this generalization with reference to moral, political, constitutional, and practical concerns that shaped national Indian policy between 1789 and the mid 1830?s. [Source: 1980 AP Exam] Chapter 10: DBQ: Many factors influenced the development of the Industrial Revolution in America in the period between 1790 and 1825. What role did the government play during this early period of growth? [Source: http://historyteacher.net/USProjects/dbq21.htm]
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