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... Orange paint is made by mixing 4 litres of yellow paint with 6 litres of red paint. 1 l 1 l 1 l 1 l 1 l 1 l 1 l 1 l 1 l 1 l = 10 l of orange paint To make the same shade of orange we must keep the amount of yellow paint and red paint in direct proportion. How many litres of each colour do you need t ...
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Maths Foundation Revision

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Sem. 1 Practice Notes

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Complex Numbers

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mathematics (4008/4028)

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6th Grade Advanced Math curriculum Unit#2 Equations

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Complex Numbers - CMS Secondary Math Wiki
Complex Numbers - CMS Secondary Math Wiki

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Acta Mathematica et Informatica Universitatis Ostraviensis - DML-CZ

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2015-2016 Mrs. Smart 11/10/2015 - 12/04/2015 Class View Page 1

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... Let A be an associative algebra over a field K. For a, b ∈ A, the element of A defined by [a, b] = ab − ba is called the commutator of a and b. The corresponding bilinear operation [−, −] : A × A → A is called the commutator bracket. The commutator bracket is bilinear, skew-symmetric, and also satis ...
objectives - Marta Hidegkuti
objectives - Marta Hidegkuti

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Approximation of the Rayleigh wave speed

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Chapter R - Reference R.1 Study Tips 1. Before the Course 2

... 1.6 Properties of Real Numbers and Simplifying Expressions 1. Commutative Properties of Real Numbers 2. Associative Properties of Real Numbers 3. Identity and Inverse Properties of Real Numbers 4. Distributive Property of Multiplication over Addition 5. Simplifying Algebraic Expressions 6. Clearing ...
Chapter 7: Systems of Equations
Chapter 7: Systems of Equations

Chapter 7: Systems of Equations
Chapter 7: Systems of Equations

... 1) Solve one of the equations for a variable. 2) Substitute the expression from step 1 into the other equation. 3) Solve the new equation. 4) Substitute the value found in step 3 into either equation containing both variables. 5) Check the proposed solution in the original equations. Martin-Gay, Dev ...
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Lesson 16 Text

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Algebra 1 Semester 1 Review

... Solve literal equations for one variable, in terms all of the other variables. 20) Solve for L in terms of the other variables. S   rL   r 2 S   rL   r 2  r 2   r2 S   r 2  rL ...
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Final Exam Solutions Math 135: Intermediate Algebra 1. Solve and

bma105 linear algebra
bma105 linear algebra

KAY174 MATHEMATICS
KAY174 MATHEMATICS

... Y = mx – b is the slope-intercept form of an equation of line with slope m and y-intercept (0,b). A function f is a linear function if and only if f(x) can be written in the form f(x) = ax + b, where a and b are constants and a ≠ 0. ...
Algebra Packet - Keene State College
Algebra Packet - Keene State College

Study Guide Section 1.4
Study Guide Section 1.4

... An open sentence is a mathematical statement that contains two expressions and a symbol that compares them. An equation is an open sentence that contains the symbol =. An inequality is an open sentence that contains one of the symbols <, ≤, >, or ≥ When you substitute a number for the variable in an ...
Linear Equations - Math Motivation
Linear Equations - Math Motivation

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History of algebra

As a branch of mathematics, algebra emerged at the end of 16th century in Europe, with the work of François Viète. Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra.This article describes the history of the theory of equations, called here ""algebra"", from the origins to the emergence of algebra as a separate area of mathematics.
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