[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-144165-105":59,"doc-detail-144165-en":135},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":128,"head_meta":130,"extra_data":132,"updated_unix":134},105,"en","sat-math-must-know-facts-formulas","SAT Math Must-Know Facts & Formulas","","Compilation of essential SAT math facts and formulas organized by core algebra, sequences, arithmetic and geometric progressions, factoring and solving methods, functions, and coordinate-geometry essentials like distance, midpoint, and slope. Includes arithmetic operations strategy (PEMDAS), number categories (integers, rationals, reals), factor and multiple definitions, percent-part-whole relationships, and averages with mode/median. Covers counting with the fundamental counting principle, probability for independent events, power/exponent and root rules, and key line and triangle results such as Pythagorean Theorem and special right-triangle angles.",{"@graph":69,"@context":127},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/sat-math-must-know-facts-formulas/144165/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/sat-math-must-know-facts-formulas/144165.png","ImageObject",300,407,{"name":92,"@type":93},"Genevieve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",23,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119,123],{"name":110,"@type":111,"acceptedAnswer":112},"What does PEMDAS mean for SAT math problems?","Question",{"text":113,"@type":114},"PEMDAS is the order of operations: Parentheses, Exponents, Multiply/Divide, and Add/Subtract.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do you find a percent of a whole on the SAT?",{"text":118,"@type":114},"Use percent = part/whole and part = (percent/100) × whole. Rearrange to solve for part, whole, or percent.",{"name":120,"@type":111,"acceptedAnswer":121},"What formulas are used for arithmetic and geometric sequences?",{"text":122,"@type":114},"Arithmetic sequences add a constant difference d each step; geometric sequences multiply by a constant ratio r each step.",{"name":124,"@type":111,"acceptedAnswer":125},"How is probability calculated for independent events on the SAT?",{"text":126,"@type":114},"Probability of desired outcomes is desired/total. For independent events A and B, P(A and B) = P(A) · P(B).","https://schema.org",{"og:url":83,"og:type":129,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":131,"canonical":83},"index,follow",{"doc_id":133,"site_id":62},144165,1787698538,{"code":4,"msg":5,"data":136},{"doc_id":133,"user_id":137,"nickname":92,"user_avatar":138,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":139,"file_id":140,"file_url":141,"file_type":142,"file_size":143,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":144,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":145,"faqs":146,"seo_title":147,"seo_description":67,"update_tm":134,"read_time":148},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","SAT Math Must-Know Facts & Formulas Numbers, Sequences, Factors  \nIntegers: . . . , -3, -2, -1, 0, 1, 2, 3, . . .  \nRationals: fractions, that is, anything expressable as a ratio of integers  \nReals: integers plus rationals plus special numbers such as √2 , √3 and π  \nOrder Of Operations: PEMDAS  \n(Parentheses / Exponents / Multiply / Divide / Add / Subtract)  \nArithmetic Sequences: each term is equal to the previous term plus d  \nSequence: t 1 , t 1 + d, t 1 + 2d, . . .  \nExample: d = 4 and t 1 = 3 gives the sequence 3, 7, 11, 15, . . .  \nGeometric Sequences: each term is equal to the previous term times r  \nSequence: t 1 , t 1 · r , t 1 · r 2 , . . .  \nExample: r = 2 and t 1 = 3 gives the sequence 3, 6, 12, 24, . . .  \nFactors: the factors of a number divide into that number  \nwithout a remainder  \nExample: the factors of 52 are 1, 2, 4, 13, 26, and 52  \nMultiples: the multiples of a number are divisible by that number  \nwithout a remainder  \nExample: the positive multiples of 20 are 20, 40, 60, 80, . . .  \nPercents: use the following formula to find part, whole, or percent  \npercent  \npart = × whole  \n100  \nExample: 75% of 300 is what?  \nSolve x = (75/100) × 300 to get 225  \nExample: 45 is what percent of 60?  \nSolve 45 = (x/100) × 60 to get 75%  \nExample: 30 is 20% of what?  \nSolve 30 = (20/100) × x to get 150  \n[www.erikthered.com/tutor](www.erikthered.com/tutor) pg. 1  \nSAT Math Must-Know Facts & Formulas Averages, Counting, Statistics, Probability  \naverage = nsuum~~ ~~omberfotfermsterms  \ntotal distance average speed =  \ntotal time  \nsum = average × (number of terms)  \nmode = value in the list that appears most often  \nmedian = middle value in the list (which must be sorted)  \nExample: median of {3, 10 , 9 , 27 , 50} = 10  \nExample: median of {3, 9 , 10 , 27} = (9 + 10)/2 = 9 .5  \nFundamental Counting Principle:  \nIf an event can happen in N ways, and another, independent event can happen in M ways, then both events together can happen in N × M ways.  \nProbability:  \nnumber of desired outcomes  \nprobability =  \nnumber of total outcomes  \nExample: each SAT math multiple choice question has  \nfive possible answers, one of which is the correct answer.  \nIf you guess the answer to a question completely at ran  \ndom, your probability of getting it right is 1/5 = 20% .  \nThe probability of two different events A and B both happening is P (A and B) = P(A) · P(B), as long as the events are independent (not mutually exclusive) .  \nPowers, Exponents, Roots  \nxa · xb = xa+b  \n(xa )b = xa·bx0 = 1  \nxa /xb = xa−b  \n(xy)a = xa · ya √xy = √x · √y  \n1/xb = x −b (−1)n = 􀀚 11,,  \nif n is even;  \nif n is odd.  \n[www.erikthered.com/tutor](www.erikthered.com/tutor) pg. 2  \nSAT Math Must-Know Facts & Formulas  \nFactoring, Solving  \n(x + a)(x + b) = x2 + (b + a)x + aba2 − b2 = (a + b)(a − b)  \na2 + 2ab + b2 = (a + b)(a + b)  \na2 − 2ab + b2 = (a − b)(a − b)  \n“FOIL”  \n“Difference Of Squares”  \nTo solve a quadratic such as x2 +bx+c = 0, first factor the left side to get (x+a1 )(x+a2 ) = 0, then set each part in parentheses equal to zero. E.g. , x2 + 4x + 3 = (x + 3)(x + 1) = 0 so that x = −3 or x = −1.  \nTo solve two linear equations in x and y: use the first equation to substitute for a variable in the second. E.g., suppose x + y = 3 and 4x − y = 2 . The first equation gives y = 3 − x, so the second equation becomes 4x − (3 − x) = 2 ⇒ 5x − 3 = 2 ⇒ x = 1, y = 2 .  \nFunctions  \nA function is a rule to go from one number (x) to another number (y), usually written  \ny = f (x) .  \nFor any given value of x, there can only be one corresponding value y. If y = kx for some number k (example: f (x) = 0 .5 · x), then y is said to be directly proportional to x. If y = k/x (example: f (x) = 5/x), then y is said to be inversely proportional to x.  \nAbsolute value:  \n|x| = 􀀚 xx,, if xif x  0;  \n0.  \nLines (Linear Functions)  \nConsider the line that goes through points A (x1 , y 1 ) and B (x2 , y2 ) .  \nDistance from A to B: p (x2 − x1 )2 + (y2 − y1 )2  \nMid-point ","cbCaiuml9yDIctkM","https://ap.wps.com/l/cbCaiuml9yDIctkM","pdf",97735,"English","# Integers, Rationals, and Reals\n## Order of Operations (PEMDAS)\n# Sequences and Series\n## Arithmetic Sequences\n## Geometric Sequences\n# Factors, Multiples, and Percents\n## Percents Formulas\n# Averages and Statistics\n## Mode\n## Median\n# Counting and Probability\n## Fundamental Counting Principle\n## Probability Rules\n# Powers, Exponents, and Roots\n# Factoring and Solving\n## FOIL\n## Difference of Squares\n# Functions and Line Geometry\n## Absolute Value\n## Slope, Midpoint, Distance\n## Slope-Intercept Form\n# Triangles\n## Right Triangles\n## Special Right Triangles\n## Triangle Area and Angle Sum","[{\"question\":\"What does PEMDAS mean for SAT math problems?\",\"answer\":\"PEMDAS is the order of operations: Parentheses, Exponents, Multiply/Divide, and Add/Subtract.\"},{\"question\":\"How do you find a percent of a whole on the SAT?\",\"answer\":\"Use percent = part/whole and part = (percent/100) × whole. Rearrange to solve for part, whole, or percent.\"},{\"question\":\"What formulas are used for arithmetic and geometric sequences?\",\"answer\":\"Arithmetic sequences add a constant difference d each step; geometric sequences multiply by a constant ratio r each step.\"},{\"question\":\"How is probability calculated for independent events on the SAT?\",\"answer\":\"Probability of desired outcomes is desired/total. For independent events A and B, P(A and B) = P(A) · P(B).\"}]","SAT Math Must-Know Facts & Formulas | PDF",15]