[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-266411-105":59,"doc-detail-266411-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","act-sat-math-formula-notes-sheet-study-sheet","ACT & SAT Math Formula & Notes Sheet - Study sheet","","Concise ACT/SAT math reference sheet covering core formulas and relationships needed for test problem solving. Includes distance and midpoint concepts, slope and Pythagorean Theorem, trigonometric identities with SOH CAH TOA, and parabola equation forms including vertex, intercept, and standard circle equation. Provides probability, expected value, logs, arc length and sector area, circle area and circumference, cylinder volume, quadratic formula with discriminant cases, and common exponent rules, alongside a broad checklist of additional topics.",{"@graph":69,"@context":122},[70,84,105],{"@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/act-sat-math-formula-notes-sheet-study-sheet/266411/",{"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/act-sat-math-formula-notes-sheet-study-sheet/266411.png","ImageObject",300,407,{"name":92,"@type":93},"Aurora","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the key coordinate geometry formulas on the sheet?","Question",{"text":112,"@type":113},"It lists distance d between two points and the midpoint M = (x1,x2 , y1,y2), plus slope m relating two points.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which trigonometry relationships are included?",{"text":117,"@type":113},"The sheet includes SOH CAH TOA definitions for sin θ, cos θ, and tan θ, key cofunction identities like sin(90−θ)=cosθ, and the Pythagorean identity sin^2θ + cos^2θ = 1.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the sheet handle quadratics and discriminants?",{"text":121,"@type":113},"It provides the quadratic formula x = (-b ± √(b^2−4ac)) / (2a) and states solution counts: two real solutions when b^2−4ac>0, one real solution when equals 0, and two imaginary solutions when less than 0.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},266411,1789407130,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":39},4810365810221,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","ACT & SAT Math Formula & Notes Sheet  \nby Mario’s Math Tutoring (YouTube Channel)  \nDistance: d = √(x2 − x 1 ) 2 + (y2 − y 1 )2  \nMidpoint: M = ( x~~ 1~~x~~ 2~~ , y~~ 1~~y~~ 2~~ )  \nSlope: m = y~~ 2~~x~~ ~~2−yx~~ 1~~1  \nPythagorean Theorem:  \nmultiples of these)  \nSOH CAH TOA  \nsin θ = opp~~h~~ypositoteensue tan θ = oapp~~d~~joacsietent~~ ~~ssiid~~d~~ee sec θ = se~~θ ~~sin 2 θ + cos 2 θ = 1  \nsin(90 − θ) = cosθ  \na 2 + b2 = c2 (Common Pythagorean Triples: 3-4-5 , 5-12-13 , 8-15-17 , 7-24-25 or  \ncos θ = adjacent~~ ~~si~~h~~ypotenuse csc θ = si~~θ ~~cot θ = ta~~θ~~  \ncos(90 − θ) = sinθ  \nEquations of Parabolas:  \ny = ax2 + bx + c remember x = −~~2~~ is the x-coordinate of vertex and is the axis of symmetry.  \ny = a(x − h)2 + k vertex form (h, k) vertex  \ny = a(x − p)(x − q) intercept form (p,0) ,(q,0) x-intercepts  \nExpected Value:  \ni1 x iP (x i )  \n(Sum up the outcome of an event multiplied the probability of it happening for each possible outcome. )  \nImaginary Numbers:  \ni = √ − 1  \ni2 = − 1  \nStandard Form of the Equation of a Circle:  \n(x − h)2 + (y − k)2 = r2  \n(h, k) Center of the circle and r is radius  \nAverage(mean) :  \nAverage = ~~\\#~~TIottes  \nFeel free to copy, share, & distribute this ACT/SAT study sheet giving attribution to Mario’s Math Tutoring(YouTube Channel)  \nACT & SAT Math Formula & Notes Sheet  \nby Mario’s Math Tutoring (YouTube Channel)  \nProbability:  \nP = Tota~~l \\#~~PSuccossi~~bl~~eessesOutcomes  \nLogs:  \nlog bx = n is equivalent to bn = x  \nArc Length:  \narc length = ~~ 3θ60~~ (2πr)  \nArea of Sector:  \narea of sector = ~~ 3θ60~~ (πr2 )  \nSpecial Right Triangles:  \nRules of Exponents:  \nxm • xn = xm+nm  \nx m − n  \nxn = x (xm )n = xm ·nx0 = 1  \nx − m = x  \nxm/n = √n xm or (√n x)m  \nQuadratic Formula & Discriminant:  \nIf ax2 + bx + c = 0 then x = −~~b~~±~~√b~~2~~2~~a−~~4~~ac  \nif b2 − 4ac ≻ 0 then 2 real solutions  \nif b2 − 4ac = 0 then 1 real solutions  \nif b2 − 4ac ≺ 0 then 0 real solutions, 2 imaginary  \nArea of Circle:  \nA = πr2  \nCircumference of Circle:  \nC = 2πr or C = πd  \nVolume of Cylinder:  \nV = πr2 h  \n* Free ACT & SAT Math Video Tutorials available on Mario’s Math Tutoring YouTube Channel to help boost your scores.*  \nPercent of Change = amounorigintaof~~l~~aaonugnte  \nFeel free to copy, share, & distribute this ACT/SAT study sheet giving attribution to Mario’s Math Tutoring(YouTube Channel)  \nACT & SAT Math Formula & Notes Sheet  \nby Mario’s Math Tutoring (YouTube Channel)  \nOther Topics helpful to know/study:  \n● Similar triangles  \n● Proportions  \n● Order of Operations ( PEMDAS)  \n● Fractions & Mixed Numbers  \n● Imaginary & Complex Numbers  \n● Square Roots & Radicals  \n● Greatest Common Factor (GCF)  \n● Least Common Multiple ( LCM)  \n● Isosceles & Equilateral Triangles  \n● Laws of Logic & Conditional Statements  \n● Functions  \n● Inequalities & Special Cases  \n● Foiling Binomials & Factoring  \n● Equations of Lines(y=mx + b)  \n● Multiplication Counting Principle  \n● Perimeter & Area Problems  \n● Writing Linear Combinations  \n● Scientific Notation  \n● Permutations, Combinations & Factorials  \n● Systems of Equations  \n● Translating Sentences into Equations  \n● Absolute Value Equations & Inequalities  \n● Quadrilaterals  \n● One to One Property of Exponents  \n● Circles & Angles  \n● Law of Sines & Law of Cosines  \n● Median, Mean, Mode, basic Statistics  \n● Angle Problems, Parallel lines cut by Transversal  \n● Rewriting Equations “in terms of”  \n● Piecewise Functions  \n● Unit Conversions  \n● Multiplying Matrices & Basics of Matrices  \n● Unit Circle  \n● Direct Variation  \n● Extended Ratios  \n● Graphing Parabolas  \n● Percentages  \n● Types of Numbers ( Rational, Irrational, etc. )  \n● Venn Diagrams  \n● Rationalizing Denominators  \n● Completing the Square  \n● Solving Radical Equations  \n● Graphing Lines & Inequalities  \n● Polynomials-Zeros, Factors, Remainders  \n● Polynomial Long Division  \n● Rational Exponents  \n● Exponential Functions  \n*Free videos covering all these topics available on Mario ’s ","cbCaipcr76FXIW7P","https://ap.wps.com/l/cbCaipcr76FXIW7P","pdf",257673,"English","# Math Formulas & Notes\n## Coordinate Geometry\n## Trigonometry\n## Conic Sections and Circles\n## Probability and Expected Value\n## Functions, Logs, and Geometry Areas/Volumes\n## Quadratics and Exponents","[{\"question\":\"What are the key coordinate geometry formulas on the sheet?\",\"answer\":\"It lists distance d between two points and the midpoint M = (x1,x2 , y1,y2), plus slope m relating two points.\"},{\"question\":\"Which trigonometry relationships are included?\",\"answer\":\"The sheet includes SOH CAH TOA definitions for sin θ, cos θ, and tan θ, key cofunction identities like sin(90−θ)=cosθ, and the Pythagorean identity sin^2θ + cos^2θ = 1.\"},{\"question\":\"How does the sheet handle quadratics and discriminants?\",\"answer\":\"It provides the quadratic formula x = (-b ± √(b^2−4ac)) / (2a) and states solution counts: two real solutions when b^2−4ac\\u003e0, one real solution when equals 0, and two imaginary solutions when less than 0.\"}]","ACT & SAT Math Formula & Notes Sheet - Study sheet | PDF"]