Topic 1 - Algebra

# Topic 1 - Algebra - Topic1:Algebra , ofalgebraicformulae

This preview shows pages 1–3. Sign up to view the full content.

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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
If a term Constan Constan That is, value ne value. In Functio A functi depend coordin A relatio words that are We can analyzin E.g.: 1. L S c m consists nts nts are the they're th ever chang n the abov ons: ion is a rela s on the va nate) may b on is only a focus on y e the same determine ng the orde Let A = {( 1 Since each coordinate of only var e terms in t e terms w ges, since t ve expressi ation (a se alue of the be paired w a function your x coo e they mu e whether ered pairs. ,3), ( 2 ,4), ( input in bo e), we can s riables, its the algebra ithout vari there are n on the con et of ordere e other var with only O if each inp rdinate (in ust all have the given . ( 3 ,5), ( 4 , 7) old letters say that th (O coefficien aic express ables. We no variable nstant term ed pairs) w riable. How ONE outpu put is only nput). If yo e the same relation is )} is paired w he set A is a ONE TO ON t is 1. E.g.: sion that co call them es in the te m is "( 13). where the v wever, in a ut (y coordi paired wit u have 2 o output or s a function with a diffe a function. NE RELATIO : ݔ ontain onl constants erm that ca ." value of on function, inate).
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern