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SAT MATH CHECKLIST:Facts and FormulasNumbers and ArithmeticSum of consecutive integers𝑛 𝑛 1 𝑛 2 Sum of the consecutive integers from 1to an integer nAdding or multiplying even or oddintegers(n 1) 𝑛 2even even evenodd odd evenodd even oddIfCross-multiplication𝑎1 𝑎𝑎0 1Absolute value𝑎 𝑐 , then 𝑎𝑑 𝑏𝑐.𝑏𝑑𝑐 𝑎𝑛𝑔𝑒 𝑖𝑛 𝑎𝑚𝑜𝑢𝑛𝑡 100%𝑜𝑟𝑖𝑔𝑖𝑛𝑎𝑙 𝑎𝑚𝑜𝑢𝑛𝑡Percent increase or percent decreaseExponent ruleseven even evenodd odd oddodd even even1𝑎𝑚𝑚 𝑛𝑎 𝑎 𝑎𝑚 𝑛𝑎𝑚 𝑎𝑚 𝑛𝑎𝑛𝑎 𝑚 (𝑎𝑚 )𝑛 𝑎𝑚𝑛𝑎𝑚 𝑏𝑚 (𝑎𝑏)𝑚𝑎𝑚𝑎𝑚𝑚 ( )𝑏𝑏𝑚𝑎𝑛 𝑛𝑎𝑚If 𝑥 4, then 𝑥 4 𝑜𝑟 𝑥 4If 𝑥 4, then 4 𝑥 4If 𝑥 4, then 𝑥 4 𝑜𝑟 𝑥 4Ivy Global

Algebra and Functions𝑎2 𝑏2 (𝑎 𝑏)(𝑎 𝑏)Difference of squaresProperties of inequalitiesThe inequality is reversed by taking the negative of both sides taking the reciprocal of both sides multiplying or dividing both sides by a negativenumberRatesDomain of a function𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑟𝑎𝑡𝑒 𝑡𝑖𝑚𝑒The set of all the “input” numbers for which the functionstill worksRange of a functionThe set of all the “output” numbers𝑚 Formula for slopeFacts about slope rise 𝑦2 𝑦1 run 𝑥2 𝑥1Horizontal lines have slopes of zero.Vertical lines have undefined slopes.Non-vertical parallel lines have equal slopes.Non-vertical perpendicular lines have slopeswhose product is -1.𝑦 𝑚𝑥 𝑏Linear functionsQuadratic functions𝑦 𝑎𝑥 2 𝑏𝑥 𝑐Translation of 𝑦 𝑓(𝑥), a unitsvertically and b units horizontally𝑦 𝑎 𝑓(𝑥 𝑏)Ivy Global

Geometry Angle sums The sum of any number of angles that form astraight line is 180 .The sum of any number of angles around a point is360 .Two angles that add to 90 are calledcomplementary angles.Two angles that add to 180 are calledsupplementary angles.Sum of the interior angles of a polygonwith n sides180 (𝑛 2)Vertical angles𝑎 𝑑 and 𝑏 𝑐Transversals𝑎 𝑑 𝑒 𝑏 𝑐 𝑓 𝑔𝑐 𝑒 180 and 𝑑 𝑓 180 Exterior angle of a triangle𝑑 𝑎 𝑏Ivy Global

Classification of triangles𝑎2 𝑏2 𝑐 2Pythagorean TheoremSpecial right trianglesTriangle inequalityThe sum of the lengths of two sides of a triangle is alwaysgreater than the length of the third side1𝐴 𝑏 2Area of a triangleArea of a parallelogram or rectangleArea of a trapezoid𝐴 𝑏 1𝐴 (𝑎 𝑏)2𝐴 𝜋𝑟 2𝐶 𝜋𝑑 2𝜋𝑟Area and circumference of a circleIvy Global

𝐿𝑥 2𝜋𝑟 360 Arc length (L) and area (A)Volume and surface area of arectangular solidDiagonal of a rectangular solidVolume and surface area of a rightcylinder𝐴𝑥 2𝜋𝑟360 𝑉 𝑙𝑤 𝑆𝐴 2𝑙𝑤 2𝑤 2𝑙 𝑑2 𝑙2 𝑤 2 2𝑉 𝜋𝑟 2 𝑆𝐴 2𝜋𝑟 2 2𝜋𝑟 Distance formula𝑑 (𝑥2 𝑥1 )2 (𝑦2 𝑦1 )2(Midpoint formulaIvy Global𝑥1 𝑥2 𝑦1 𝑦2),22

Data Analysis and StatisticsCounting principleProbabilityIf there are m ways to complete the first and n ways tocomplete the second, then there are 𝑚 𝑛 ways tocomplete the two of them𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑓𝑎𝑣𝑜𝑟𝑎𝑏𝑙𝑒 ��𝑟 𝑜𝑓 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 ��𝑔𝑒 AverageIvy Global𝑠𝑢𝑚𝑛

SAT MATH CHECKLIST: Facts and Formulas Numbers and Arithmetic Sum of consecutive integers 1 2 Sum of the consecutive integers from 1 to an integer n (n 1) 2 Adding or multiplying even or odd integers even even even odd odd even odd even odd even even even odd odd odd odd even even Cross-multiplication If ,then . Percent increase or percent .