[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-508521-105":59,"doc-detail-508521-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","keystone-algebra-ii-formula-sheet","Keystone Algebra II Formula Sheet","","This reference document provides a comprehensive collection of essential mathematical formulas for the Algebra II Keystone Exam. It includes formulas for geometric shapes, data analysis (permutations and combinations), exponential properties, powers of the imaginary unit, and logarithmic properties. Additionally, it details quadratic functions, covering general, standard, and factored forms, as well as the quadratic formula. The guide also presents equations for calculating annual, periodic, and continuous compound interest, serving as a vital study aid for students preparing for standardized mathematics assessments.",{"@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/keystone-algebra-ii-formula-sheet/508521/",{"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/keystone-algebra-ii-formula-sheet/508521.png","ImageObject",300,407,{"name":92,"@type":93},"McQueen","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-11","2026-10-05",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the three forms of quadratic functions provided in the sheet?","Question",{"text":112,"@type":113},"The sheet lists the general formula (f(x) = ax^2 + bx + c), the standard/vertex form (f(x) = a(x - h)^2 + k), and the factored form (f(x) = a(x - x1)(x - x2)).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is compound interest calculated for continuous interest?",{"text":117,"@type":113},"Continuous compound interest is calculated using the formula A = Pe^(rt), where P is the principal, r is the annual interest rate, and t is time in years.",{"name":119,"@type":110,"acceptedAnswer":120},"What is the relationship between logarithmic and exponential forms in the document?",{"text":121,"@type":113},"The document indicates that log_a(x) = y is equivalent to x = a^y, and provides additional properties for handling products, quotients, and powers within logarithms.","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},508521,1791796954,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":8,"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":143,"read_time":81,"preview_page_count":4},5909890329169,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","KEYSTONE  REFERENCE   \nALGEBRA II FORMULA SHEET  \nFormulas that you may need to solve questions on this exam are found below.  \nYou may use calculator π or the number 3.14.  \nShapes  \nw  \nl  \nA = lw  \nh V = lwh  \nl  \nData Analysis Permutation: nPr = (n~~ ~~!~~ ~~r)!  \nCombination: n Cr = r!(nn−!~~ ~~r)!  \nExponential Properties  \nam · an = am + naamn = am − n  \n(am)n = am · na ¯1 =   \nPowers of the Imaginary Unit  \ni = ¯1 i2 = ¯1  \ni3 = ¯ i i4 = 1  \nLogarithmic Properties  \nlogax = y ↔ x = ay log x = y ↔ x = 10 y In x = y ↔ x = ey loga (x · y ) = loga x + loga y  \nloga xp = p · loga x loga xy = loga x − loga y  \nQuadratic Functions  \nGeneral Formula: f(x) = ax2 + bx + c  \nStandard (Vertex) Form: f(x) = a (x − h )2 + k  \nFactored Form: f(x) = a(x − x1)(x − x2)  \nˉb ± b2 − 4ac  \nQuadratic Formula: x = 2a  \nwhen ax2 + bx + c = 0 and a Þ 0  \nCompound Interest Equations  \nAnnual: A = P (1 + r) t  \nPeriodic: A = P ( 1 + ~~ ~~rn~~ ~~ )nt  \nContinuous: A = Pert  \nA = account total after t years P = principal amount  \nr = annual rate of interest t = time (years)  \nn = number of periods interest is compounded per year  \nCopyright © 2011 by the Pennsylvania Department of Education. The materials contained in this publication may be duplicated by Pennsylvania educators for local classroom use. This permission does not extend to the duplication of materials for commercial use.","cbCaihg1PKYLXL2h","https://ap.wps.com/l/cbCaihg1PKYLXL2h","pdf",406883,"English","# Shapes\n# Data Analysis\n# Exponential Properties\n# Powers of the Imaginary Unit\n# Logarithmic Properties\n# Quadratic Functions\n# Compound Interest Equations","[{\"question\":\"What are the three forms of quadratic functions provided in the sheet?\",\"answer\":\"The sheet lists the general formula (f(x) = ax^2 + bx + c), the standard/vertex form (f(x) = a(x - h)^2 + k), and the factored form (f(x) = a(x - x1)(x - x2)).\"},{\"question\":\"How is compound interest calculated for continuous interest?\",\"answer\":\"Continuous compound interest is calculated using the formula A = Pe^(rt), where P is the principal, r is the annual interest rate, and t is time in years.\"},{\"question\":\"What is the relationship between logarithmic and exponential forms in the document?\",\"answer\":\"The document indicates that log_a(x) = y is equivalent to x = a^y, and provides additional properties for handling products, quotients, and powers within logarithms.\"}]","Keystone Algebra II Formula Sheet | PDF",1791225493]