F2 Introduction to algebra

F2 Introduction to - PROGRAMME F2 INTRODUCTION TO ALGEBRA STROUD Worked examples and exercises are in the text Programme F2 Introduction to algebra

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STROUD Worked examples and exercises are in the text PROGRAMME F2 INTRODUCTION TO ALGEBRA

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STROUD Worked examples and exercises are in the text Algebraic expressions Powers Logarithms Multiplication of algebraic expressions of a single variable Fractions Division of one expression by another Factorization of algebraic expressions Programme F2: Introduction to algebra
STROUD Worked examples and exercises are in the text Algebraic expressions Powers Logarithms Multiplication of algebraic expressions of a single variable Fractions Division of one expression by another Factorization of algebraic expressions Programme F2: Introduction to algebra

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STROUD Worked examples and exercises are in the text Algebraic expressions Symbols other than numerals Constants Variables Rules of algebra Rules of precedence Terms and coefficients Collecting like terms Similar terms Expanding brackets Nested brackets Programme F2: Introduction to algebra
STROUD Worked examples and exercises are in the text Algebraic expressions Symbols other than numerals Programme F2: Introduction to algebra An unknown number can be represented by a letter of the alphabet which can then be manipulated just like an ordinary numeral within an arithmetic expression. Manipulating letters and numerals within arithmetic expressions is referred to as algebra .

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STROUD Worked examples and exercises are in the text Algebraic expressions Constants and variables Programme F2: Introduction to algebra Sometimes a letter represents a single number. Such a letter is referred to as a constant . Other times a letter may represent one of a collection of numbers. Such a letter is referred to as a variable .
STROUD Worked examples and exercises are in the text Algebraic expressions Rules of algebra Programme F2: Introduction to algebra The rules of arithmetic, when expressed in general terms using letters of the alphabet are referred to as the rules of algebra. Amongst these rules are those that deal with: Commutativity Associativity Distributivity

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STROUD Worked examples and exercises are in the text Algebraic expressions Rules of algebra Programme F2: Introduction to algebra Commutativity Both addition and multiplication are commutative operations. That is, they can be added or multiplied in any order without affecting the result: and x y y x xy yx + = + = Note that the multiplication sign is suppressed: is written as x y xy ×
STROUD Worked examples and exercises are in the text Algebraic expressions Rules of algebra Programme F2: Introduction to algebra Associativity Both addition and multiplication are associative operations. That is, they can be associated in any order without affecting the result: ( ) ( ) x y z x y z x y z + + = + + = + + ( ) ( ) x yz xy z xyz = =

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STROUD Worked examples and exercises are in the text Algebraic expressions Rules of algebra Programme F2: Introduction to algebra Distributivity Multiplication is distributive over addition and subtraction from both the left and the right: ( ) and ( ) x y z xy xz x y z xy xz + = + - = - ( ) and ( ) x y z xz yz x y z xz yz + = + - = -
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This note was uploaded on 01/12/2011 for the course MAT 1117 MAT 117 taught by Professor White during the Spring '09 term at University of Phoenix.

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F2 Introduction to - PROGRAMME F2 INTRODUCTION TO ALGEBRA STROUD Worked examples and exercises are in the text Programme F2 Introduction to algebra

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