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How to Study Math Flash CardsPowerScoreSAT Math BibleFlash CardsFormulas, definitions, and conceptsfor success on the SAT Math SectionFor more flash cards, visit PowerScore.com Copyright 2010Order of OperationsA fundamental principle of all math is the order of operations.This rule sets precedence for which operations are preformedfirst when solving or simplifying expressions and equations. Thesix operations are addition, subtraction, multiplication, division,exponentiation, and grouping, and their order of precedence isoften remembered using the acronym PEMDAS.Each of the letters in PEMDAS represents an operation and itsorder of priority:PEMDASarentheses hFor more flash cards, visit PowerScore.com Copyright 2010PowerScoreFull Length SAT CourseThe most comprehensive live SAT course for the most importanttest of your academic career!The Full-Length Course offers: 40 hours of class time 4 full-length practice tests with detailed score reports 300 point score increase guarantee 95th percentile instructors Over 1500 pages of course material 15 hours of SAT Hotline assistance each week Online Student Center Access 2 take-home tests with detailed score reports Extensive homework and optional problems sets withfull explanations for every problem Customizable courses for schools and groups 1000 Perfect Score ScholarshipFor more information, visit PowerScore.com(800)545-1750www.powerscore.comAll of the formulas from The SAT Math Bible are provided inthe following flash cards. Review each card, and remove anyformulas that you already know. Study only the cards withformulas that you have not yet memorized. To increase yourretention of the formulas, try these study methods:1. Write out the formulas and their components.Transferring the formulas to paper helps transfer theinformation into your long-term memory.2. Group formulas by content area.By placing the cards in groups, such as “Circles” or“Transformations,” you can begin to see connectionsbetween formulas that may help with memorization.(Continued on back of card)For more flash cards, visit PowerScore.com Copyright 2010PowerScoreEssential SAT FlashcardsPowerScore has analyzed over 50 teststo bring you the most commonlyoccurring vocabulary words on theSAT! These 200 words should bethe foundation of your vocabularypreparation, as you are sure toencounter a large majority of themthroughout your SAT study and testingexperience. In addition to a standarddefinition, each card uses the word ina sentence and offers common wordforms, antonym forms, and related words to help you increaseretention and strengthen memorization skills. Use theseportable and compact flash cards in class, on the bus,at home, or anywhere you go!For more information, visit ScoreLive Online SAT CourseComprehensive live instruction from the comfort of your home.The Live Online Course offers: Live, interactive instruction via the internet 18 hours of class time 6 full-length take-home tests with detailed score reports 200 point score increase guarantee 95th percentile instructors Over 1400 pages of course material Online Student Center Access Extensive homework and optional problems sets withfull explanations for every problem Customizable courses for schools and groups 1000 Perfect Score ScholarshipFor more information, visit PowerScore.com(800)545-1750www.powerscore.com

integerAny number in the set of positive and negative wholenumbers and zero:setA collection of numbers marked by brackets:{4, 6, 9, 13}{ –4, –3, –2, –1, 0, 1, 2, 3, 4 } Integers do not include fractions or decimals Integers are the most commonly used numbers onthe SAT It is important to remember that 0 is an integerFor more flash cards, visit PowerScore.com Copyright 2010 Sets can contain any amount of numbers Sets may have rules, such as “all even integers”For more flash cards, visit PowerScore.com Copyright 2010sumdigitThe numbers 0 through 9:{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}The amount obtained by adding numbers The sum of 2, 3, and 4 is 9: (2 3 4 9) The sum of x and y is x y Place is used to represent where in a number a digitoccurs The ones digit or units digit in 3748 is 8 The tens digit in 3748 is 4 The hundreds digit in 3748 is 7For more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010productThe amount obtained by multiplying numbers The product of 2, 3, and 4 is 24: (2 3 4 24) The product of x and y is xyFor more flash cards, visit PowerScore.com Copyright 2010multipleAn integer that is divisible by another integer withouta remainder Multiples of 3 include {–6, –3, 3, 6, 9, 12} Multiples of 4 include {–8, –4, 4, 8, 12, 16}For more flash cards, visit PowerScore.com Copyright 2010

DEFINITIONDEFINITIONsetintegerPowerScore SAT Math Bible Score SAT Math Bible NDEFINITIONmultipleproductPowerScore SAT Math Bible rScore SAT Math Bible Flashcards(800)545-1750PowerScore SAT Math Bible Flashcardswww.powerscore.comPowerScore SAT Math Bible Flashcards(800)545-1750www.powerscore.com

divisiblefactorDescribes a number capable of being divided withouta remainder. A number that is divisible by x is alsosaid to be a multiple of x.One of two or more numbers that divides into a largernumber without a remainder 18 is divisible by 1, 2, 3, 6, 9, and 18 xy is divisible by 1, x, y, and xyFor more flash cards, visit PowerScore.com Copyright 201010 prime numbers{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, .}Additional prime numbers under 100:{31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97}For more flash cards, visit PowerScore.com Copyright 2010prime factorPrime numbers that divide into a larger numberwithout a remainder Factors of 18 are 1 and 18, 2 and 9, and 3 and 6;the prime factors are 2 and 3For more flash cards, visit PowerScore.com Copyright 2010 Factors of 18 are 1 and 18, 2 and 9, and 3 and 6 Factors of xy include 1 and xy, plus x and yFor more flash cards, visit PowerScore.com Copyright 2010prime numberAn integer that does not have any factors besidesitself and 1{2, 3, 5, 7, 11, 13, 17, 19, 23, 29, .} One (1) is not a prime number When prime numbers are multiplied together, theproduct’s factors are limited to itself, one, and theprime numbers themselvesFor more flash cards, visit PowerScore.com Copyright 2010common factorA factor shared by two numbers Factors of 18 are 1 and 18, 2 and 9, and 3 and 6. Factors of 15 are 1 and 15 and 3 and 5. The common factors of 15 and 18 are 1 and 3.For more flash cards, visit PowerScore.com Copyright 2010

DEFINITIONDEFINITIONfactordivisiblePowerScore SAT Math Bible e SAT Math Bible NARITHMETICprime numberWhat are the first10 prime numbers?PowerScore SAT Math Bible e SAT Math Bible NDEFINITIONcommon factorprime factorPowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

Rules of Divisibility2: If the last digit of a number is even, it is a multiple of 2.3: If the sum of the digits is divisible by 3, the entireinteger is a multiple of 3.4: If the last two digits are a multiple of 4, the entirenumber is a multiple of 4.5: If the last digit ends in 0 or 5, the entire number isdivisible by 5.6: If the number is both divisible by 2 and 3, it is divisibleby 6.9: If the sum of the digits is divisible by 9, the entireinteger is a multiple of 9For more flash cards, visit PowerScore.com Copyright 2010Fraction Equivalent0.125For more flash cards, visit PowerScore.com Copyright 2010Fraction EquivalentAddition of Integerseven even evenodd odd evenodd even oddpositive positive positivenegative negative negativepositive negative can be eitherFor more flash cards, visit PowerScore.com Copyright 2010Multiplication of Integerseven even evenodd odd oddodd even evenpositive positive positivenegative negative positivepositive negative negativeFor more flash cards, visit PowerScore.com Copyright 2010Fraction Equivalent0.166For more flash cards, visit PowerScore.com Copyright 20100.2For more flash cards, visit PowerScore.com Copyright 2010

ARITHMETICAddition of Integerseven even odd odd odd even positive positive negative negative positive negative PowerScore SAT Math Bible CS H O RT C U TRules of DivisibilityPowerScore SAT Math Bible Flashcards(800)545-1750D E C I M A L E Q U I VA L E N TMultiplication of Integers18even even odd odd odd even positive positive negative negative positive negative PowerScore SAT Math Bible score.comPowerScore SAT Math Bible Flashcards(800)545-1750www.powerscore.comD E C I M A L E Q U I VA L E N TD E C I M A L E Q U I VA L E N T1516PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

Fraction EquivalentFraction Equivalent0.25For more flash cards, visit PowerScore.com Copyright 2010Fraction Equivalent0.33For more flash cards, visit PowerScore.com Copyright 2010Fraction Equivalent0.5For more flash cards, visit PowerScore.com Copyright 2010Fraction Equivalent0.4For more flash cards, visit PowerScore.com Copyright 2010Fraction Equivalent0.66For more flash cards, visit PowerScore.com Copyright 20100.75For more flash cards, visit PowerScore.com Copyright 2010

D E C I M A L E Q U I VA L E N TD E C I M A L E Q U I VA L E N T1314PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comD E C I M A L E Q U I VA L E N TD E C I M A L E Q U I VA L E N T2512PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comD E C I M A L E Q U I VA L E N TD E C I M A L E Q U I VA L E N T3423PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

rate formulawhat percent?x100dr tr rated distanceor?100t timeFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010average rate of speedcombined work2 rate1 rate 2rate1 rate 21 1 1 1 t1 t2 t3 tTt1 time of first persont2 time of second persont3 time of third persontT time togetherFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010plus, more than, added to,increased by, sumwhat? what number? x, n, ?, orother variableFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010

T R A N S L AT EW O R K A N D R AT E SHow do you represent thephrase “what percent”?What is therate formula?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comW O R k A N D R AT E SW O R k A N D R AT E SWhat is the formula forcombined work problems?What is the formulafor average rate of speed?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750T R A N S L AT ET R A N S L AT EHow do you represent“what” or “what number?”PowerScore SAT Math Bible score.comHow do you represent“plus,” “more than,”“added to,” “increased by,”and “sum?”PowerScore SAT Math Bible Flashcards(800)545-1750www.powerscore.com

minus, less than, subtracted from,decreased by, reduced by, differenceof, times, product– (minus sign)(multiplication sign)For more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010per, out of, quotientis, equals, result (division sign)(equals sign)For more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 201090º angle60º angle60º90ºFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010

T R A N S L AT ET R A N S L AT EHow do you represent “of,”“times,” or “product?”How do you represent“minus,” “less than,”“subtracted from,”“decreased by,” “reducedby,” and “difference?”PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comT R A N S L AT ET R A N S L AT EHow do you represent “is,” How do you represent “per,”“out of,” or “quotient?”“equals,” or “result?”PowerScore SAT Math Bible e SAT Math Bible SBENCHMARKSIllustrate a 60º angle.Illustrate a 90º angle.PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

45º angle30º angle45ºFor more flash cards, visit PowerScore.com Copyright 201030ºFor more flash cards, visit PowerScore.com Copyright 2010divide by same basemultiply by same basexn xm xn–m(xn)(xm) xn mFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010multiply by same powerdivide by same power(xn)(yn) (xy)nxn yn (x y)nFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010

BENCHMARKSBENCHMARKSIllustrate a 30º angle.Illustrate a 45º angle.PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comEXPONENTS AND ROOTSEXPONENTS AND ROOTSMultiplication ofthe same base:Division ofthe same base:xn xm(xn)(xm)PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comEXPONENTS AND ROOTSEXPONENTS AND ROOTSDivision withthe same power:Multiplication withthe same power:xn yn(xn)(yn)PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

base–negativebase01nx130 1 and x0 1For more flash cards, visit PowerScore.com Copyright 2010single base with powers(x ) xn mn mFor more flash cards, visit PowerScore.com Copyright 2010fractional exponentsnmx xxFor more flash cards, visit PowerScore.com Copyright 2010mpowerrootn root x powerFor more flash cards, visit PowerScore.com Copyright 2010classic form #2classic form #1(x y)2 x2 2xy y2(x y)(x – y) x2 – y2Examples:(t 5)2 t2 2(t)(5) 52 t2 10t 25(3a b)(3a b) 9a2 6ab b2y2 16y 64 y2 2(y)(8) 82 (y 8)236 12n n2 62 2(n)(6) n2 (6 n)2For more flash cards, visit PowerScore.com Copyright 2010Examples:(t – 5)(t 5) t2 – 52 t2 – 25(3a b)(3a – b) (3a)2 – b2 9a2 – b2y2 – 64 y2 – 82 (y 8)(y – 8)36 – n2 362 – n2 (6 n)(6 – n)For more flash cards, visit PowerScore.com Copyright 2010

EXPONENTS AND ROOTSEXPONENTS AND ROOTSWhen a base is raised to thepower of 0, what is the result?x–nFor example, what is 30 or x0?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comEXPONENTS AND ROOTSEXPONENTS AND ROOTSFractional exponents:Multiplication of a singlebase with multiple powers:xnmPowerScore SAT Math Bible rScore SAT Math Bible Flashcards(800)545-1750www.powerscore.comC L A S S I C Q U A D R AT I C F O R MC L A S S I C Q U A D R AT I C F O R M(x y)(x – y) (x y)2 PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

classic form #3direct variation(x – y)2 x2 – 2xy y2y cxExamples:(t – 5)2 t2 – 2(t)(5) 52 t2 – 10t 25(3a – b)(3a – b) 9a2 – 6ab b2y2 – 16y 64 y2 – 2(y)(8) 82 (y – 8)236 – 12n n2 62 – 2(n)(6) n2 (6 – n)2For more flash cards, visit PowerScore.com Copyright 2010area of a circleFor more flash cards, visit PowerScore.com Copyright 2010indirect variationA r2c xyrFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010circumference of a circlearea of a rectangleC 2 rA lwlrFor more flash cards, visit PowerScore.com Copyright 2010wFor more flash cards, visit PowerScore.com Copyright 2010

D I R E C T VA R I AT I O NC L A S S I C Q U A D R AT I C F O R MWhat is the formulafor direct variation?(x – y)2 PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comI N D I R E C T VA R I AT I O NFORMULA BOXWhat is the formulafor indirect variation?What is the formula for thearea of a circle?PowerScore SAT Math Bible FlashcardsPowerScore SAT Math Bible FlashcardsFORMULA BOXFORMULA BOXWhat is the formula forthe area of a rectangle?What is the formula for thecircumference of a circle?(800)545-1750www.powerscore.comPowerScore SAT Math Bible 1750www.powerscore.comPowerScore SAT Math Bible Flashcards(800)545-1750www.powerscore.com

area of a trianglevolume of a rectangular solid1bh2A V lwhhhwlbFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010volume of a cylinderPythagorean TheoremV r2ha2 b2 c2rhcbaFor more flash cards, visit PowerScore.com Copyright 201030º:60º:90º triangle2xFor more flash cards, visit PowerScore.com Copyright 201045º:45º:90º triangle60º x30ºx 3For more flash cards, visit PowerScore.com Copyright 2010s 2s 45ºs45ºFor more flash cards, visit PowerScore.com Copyright 2010

FORMULA BOXFORMULA BOXWhat is the formulafor the volume of arectangular solid?What is the formula for thearea of a triangle?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comFORMULA BOXFORMULA BOXWhat is thePythagorean Theorem?What is the formulafor the volume of a rightcircular cylinder?PowerScore SAT Math Bible FlashcardsPowerScore SAT Math Bible FlashcardsFORMULA BOXFORMULA BOXWhat are the assignedside ratios in a45º:45º:90º triangle?What are the assignedside ratios in a30º:60º:90º triangle?(800)545-1750www.powerscore.comPowerScore SAT Math Bible 1750www.powerscore.comPowerScore SAT Math Bible Flashcards(800)545-1750www.powerscore.com

degrees of arc in a circlesum of the angles in a triangle180º360ºx 35 50 x 50 35 180 For more flash cards, visit PowerScore.com Copyright 2010intersected parallel linesx 95 For more flash cards, visit PowerScore.com Copyright 2010perpendicular linesright angle21l21m2T12P1l mFor more flash cards, visit PowerScore.com Copyright 2010bisectPR TURUFor more flash cards, visit PowerScore.com Copyright 2010perimeter of a trianglebisect to divide in two equal partsperimeter s1 s2 s3NMx x POFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010

FORMULA BOXFORMULA BOXWhat is the sum of of themeasures in degrees of theangles of a triangle?How many degrees of arcare in a circle?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comLINES AND ANGLESLINES AND ANGLESWhat angle is createdby the intersection ofperpendicular lines?What relationship resultswhen two or more parallellines are intersectedby a transversal?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comBASIC TRIANGLESLINES AND ANGLESWhat is the formulafor finding theperimeter of a triangle?What is the definitionof "bisect?"PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

sum of the lengths of 2 sidessum of the angles in a triangleThe sum of the lengths ofany two sides of a triangleis always greater than thelength of the remaining side.For more flash cards, visit PowerScore.com Copyright 2010180ºFor more flash cards, visit PowerScore.com Copyright 2010Pythagorean Triplessimilar triangles3:4:55 : 12 : 137 : 24 : 258 : 15 : 179 : 40 : 4112 : 35 : 3720 : 21 : 29Triangles that have the exact same shape but differentarea. The corresponding angle measurements of similartriangles are equal, and the corresponding side lengths areproportionate:95 xFor more flash cards, visit PowerScore.com Copyright 201095 50 z3xy3y35 50 35 3zFor more flash cards, visit PowerScore.com Copyright 2010hidden triangleshidden trianglesTwo 30º:60º:90º triangles arehidden in every equilateral triangle:Two 45º:45º:90º triangles arehidden in every square:6ABA6s 6CD45 1430 30 60 2x 1460 45 30 x 3 7 360 x 7For more flash cards, visit PowerScore.com Copyright 201045 6s 2 6 245 D45 645 s 6CFor more flash cards, visit PowerScore.com Copyright 2010

BASIC TRIANGLESBASIC TRIANGLESWhat is the sum of of themeasures in degrees of theangles of a triangle?The sum of the lengths ofany two sides of a triangleis always greater than.PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comBASIC TRIANGLESSPECIAL TRIANGLESWhat aresimilar triangles?Name the most commonPythagorean Triples.PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comSPECIAL TRIANGLESSPECIAL TRIANGLESWhat is hiddenin a square?What is hidden in anequilateral triangle?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

isosceles trianglesequilateral trianglesAn isosceles triangle has two sides of equal lengthand two angles of equal size. The two equal angles areopposite the two equal-length sides:Equilateral triangles have equal side lengths andequal angle measurements. Since the interior anglesof a triangle add up to 180 , the three angles of anequilateral triangle must each equal 60 :40 6670 70 6104 x 6sx For more flash cards, visit PowerScore.com Copyright 201060 60 ss60 For more flash cards, visit PowerScore.com Copyright 2010perimeter of a rectanglearea of a squareP 2l 2wA lw or s2lwFor more flash cards, visit PowerScore.com Copyright 2010sFor more flash cards, visit PowerScore.com Copyright 2010area of a parallelogramperimeter of a squareA lhP 4shwslFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010

SPECIAL TRIANGLESBASIC TRIANGLESWhat is anequilateral triangle?What is anisosceles triangle?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comQ U A D R I L AT E R A L SQ U A D R I L AT E R A L SWhat is the formula forthe area of a square?What is the formula for theperimeter of a rectangle?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comQ U A D R I L AT E R A L SQ U A D R I L AT E R A L SWhat is the formula forthe perimeter of a square?What is the formulafor the area of aparallelogram?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.com

regular polygonsinterior angles of a quadrilateralPolygons that have equal side lengths and equalangle measurements are called regular polygons.360º130 50 130 50 Regular PentagonRegular HexagonFor more flash cards, visit PowerScore.com Copyright 201090º 90º 90º 90º 360º50º 130º 50º 130º 360ºFor more flash cards, visit PowerScore.com Copyright 2010interior angles of a hexagoninterior angles of a pentagon720º540º120 120 120 108 108 120 108 120 120 120º 120º 120º 120º 120º 120º 720ºFor more flash cards, visit PowerScore.com Copyright 2010interior angles of a octagon108 108 108º 108º 108º 108º 108º 540ºFor more flash cards, visit PowerScore.com Copyright 2010circumference of a circle1080ºC 2πr135 135 135 135 135 135 r135 135 135º 135º 135º 135º 135º 135º 135º 135º 1080ºFor more flash cards, visit PowerScore.com Copyright 2010For more flash cards, visit PowerScore.com Copyright 2010

P O LY G O N SP O LY G O N SWhat is the sum ofthe interior anglesof a quadrilateral?What is a regular polygon?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comP O LY G O N SP O LY G O N SWhat is the sum ofthe interior angles of apentagon? What is themeasure of each angle in aregular pentagon?What is the sum of theinterior angles of ahexagon? What is themeasure of each angle in aregular hexagon?PowerScore SAT Math Bible e SAT Math Bible Flashcards(800)545-1750www.powerscore.comCIRCLESP O LY G O N SWhat is the formulafor the circumferenceof a circle?What is the sum of theinterior angles of ao

SAT Math Bible Flash Cards Formulas, definitions, and concepts for success on the SAT Math Section How to Study Math Flash Cards Order of Operations . preparation, as you are sure to encounter a large majority of them throughout you