7/21/2019 GMAT Math Syllabus

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. Axioms and fundamentals

2. Number propertiespositive and megative numbersaddingsubstractingproperties of odd and even numbers

rules for odd and even numbersmultiplying and dividing positive and negative numbersprime numberspemdas

3. Multiples and factors multiplesrules about divisibilityfactorsprime factorizationremainders

4. Fractionsreducing fractions

comparing fractions with the same denominatorcomparing fractions with the same numeratoradding and substracting fractionsconverting fractionsproportionsreciprocalsmultiplying and dividing fractions

5. Decimalsconverting decimals to fractionsadding, substracting, multiplying, and dividing decimalscommon percent , decimal and fractional equivalentscomparing decimals

6. Percentstranslating nglish to math in percent problemsconverting decimals or fractions to percentsconverting percents to decimals or fractionsusing the percent formula to solve percent problemspercent increase and decrerasemulti!step percent problemscompound interest

". Averages#nding the average of a group of numbersusing the average to #nd the sumusing the average to #nd the missing numberscombining averages

medianmoderange and standart deviation

$. Ratios and rateswhat are ratiospart, part and part, whole ratiosratesaverage rate

%. Powers and radicalsmultiplying powersdividing powersraising a power to a powerdistributingnegative numbers and powersfractional powersnegative powersradicals &the square root'

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simplifying radicalsrules of operations with radicalsmultiplying and dividing radicals

(). Algebramonomialsadding and substracting monomials

adding and substracting polynomialssimplifying polynomialsmultiplying algebraic e*pressionsthe +- methodpluggingsolving equationssolving for *algebraic inequalitiessolving /in terms of/isolate the variablefactoring algebraic e*pressionsfactoring algebraic e*pressions ! +- in reversefactoring the di0erence of squaresfactoring the square of a binomial

simplifying algebraic fractionssimultaneout equations1 substitutionsimultaneout equations1 combining the equationsquadratic equationstime and distance problemswor problemsfubctionsprobability problemspermutations and combinations

((. Lines and anglessupplementary anglesright anglescomplementary angles

adacent anglesvertical anglesparallel lines and transversals

(2. Trianglessides and angles of a triangleperimeter of a trianglearea of a triangleisosceles triangleequilateral trianglesright trianglespythagorean theorempythagorean tripletsspecial right triangles

isosceles right trianglesisosceles right triangles ! side ratio3)!6)!%) right triangles3)!6)!%) right triangles ! side ratio

(3. Quadliteralswhat is a quadliteralparallelogramsrectanglessquares and other four!sided obectsperimeterperimeter of a squarearea of a rectanglearea of a squarearea of a parallelogramrectangular solids ! volume and surface areacubes

(4. ircles

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components of a circlecircumferencecircumference e*amplearc lengtharea of a circlearea of a sectorcylinders

(5. oordinate geometr!the coordinate planeplotting pointsquadrantsdistance between pointsdistance formulaslopeequation of lines