Topic 1 - Algebra - Topic1:Algebra , ofalgebraicformulae

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Topic 1: Algebra Meaning of terms variable and function Use of function notation Rules and techniques for the manipulation, transformation and evaluation of algebraic formulae Application of algebraic techniques for substitution and factorisation Solution of linear and quadratic equations by direct methods and simultaneous equations by elimination. Introduction: Algebra is a simple language, used to create mathematical models of real world situations and to handle problems that we can't solve using just arithmetic. Rather than using words, algebra uses symbols to make statements about things. In algebra, we often use letters to represent numbers. Algebraic Expressions An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols, such as plus and minus signs. It's only a phrase, not the whole sentence, so it doesn't include an equal sign. E.g.: െ 5ݕ ൅ 9ݔݕ െ 13 In an algebraic expression, terms are the elements separated by the plus or minus signs. This example has four terms: , െ5ݕ , 9ݔݕ & െ 13 . Terms may consist of variables and coefficients, or constants. Variables In algebraic expressions, letters represent variables. In this expression, the variables are ݔ and ݕ . We call these letters " var iables" because the numbers they represent can vary —that is, we can substitute one or more numbers for the letters in the expression. Coefficients Coefficients are the number part of the terms with variables. In, െ 5ݕ 9ݔݕ െ 13 the coefficient of the first term is 7. The coefficient of the second term is ( 5), and the coefficient of the third term is 9.
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