[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-292612-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-292612-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","ap-biology-free-response-questions-2024-ap-biology-equations-and-formulas","AP Biology - Free-Response Questions 2024 - AP® BIOLOGY EQUATIONS AND FORMULAS","","2024 AP® Biology Free-Response Questions reference sheet and exam directions covering essential biology equations and formulas. The material summarizes statistical analysis and probability tools such as standard deviation, standard error, chi-square, and p-values, alongside probability laws. It includes genetics and population genetics relationships like Hardy-Weinberg equations, as well as metric prefixes and common data statistics. Additional sections provide ecological, biochemical, and biophysical formulas including water potential, solute potential, Simpson’s diversity index, pH, growth equations, and geometric surface area and volume expressions.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/ap-biology-free-response-questions-2024-ap-biology-equations-and-formulas/292612/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/ap-biology-free-response-questions-2024-ap-biology-equations-and-formulas/292612.png","ImageObject",300,407,{"name":42,"@type":43},"Rizky","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-04","2026-09-17",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",10,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the key directions for Section II free-response answers?","Question",{"text":63,"@type":64},"Questions 1–2 are long free-response questions requiring about 25 minutes each, while questions 3–6 are short requiring about 10 minutes each. Answers must be written in paragraph form, and credit is given only for what is written in the separate Free Response booklet.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are standard deviation and standard error of the mean defined on the sheet?",{"text":68,"@type":64},"Standard deviation is presented as the sample-based estimate of population variability, and the sheet lists a formula for standard error of the mean (SE) based on sample standard deviation and sample size.",{"name":70,"@type":61,"acceptedAnswer":71},"Which equations are included for genetics and population genetics?",{"text":72,"@type":64},"Hardy-Weinberg equations (p2 + 2pq + q2 = 1, with p + q = 1 and definitions for allele frequencies) and other related biological relationships are provided as part of the reference formulas.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},292612,1789653195,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":55,"slug":125},"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":80,"read_time":144},962085564807,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","2024  \nAP® Biology  \nFree-Response Questions  \n© 2024 College Board. College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered trademarks of College Board. Visit College Board on the web: [collegeboard.org](collegeboard.org).  \n[AP Central is the official online home for the AP Program: apcentral.collegeboard.org](AP Central is the official online home for the AP Program: apcentral.collegeboard.org).  \nAP® BIOLOGY EQUATIONS AND FORMULAS  \n\n| Mean\u003Cbr>~~x~~ = 1~~n ~~ Âi1 xi |  | Statistical Analysis and Probability Standard Deviation |  |  |  |  |  |  |  | x  = sample mean n = sample size\u003Cbr>s = sample standard deviation (i.e., the sample-based estimate of the standard deviation of the population)\u003Cbr>o = observed results e = expected results\u003Cbr>􀀶 = sum of all\u003Cbr>Degrees of freedom are equal to the number of distinct possible outcomes minus one. |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  | s = |  |  |  | \u003Cbr>\u003Cbr>Â (xi -x)2 n-1 |  |  |  |  |\n| Standard Error of the Mean\u003Cbr>SE~~x~~ = ~~ ~~sn |  |  |  |  | Chi-Square\u003Cbr>􀁆 2 􀀠 􀂦 ~~ ~~􀀋~~ ~~o~~ ~~~~ ~~e~~ ~~􀀌~~ ~~2~~ ~~ |  |  |  |  |  |\n| Chi-Square Table |  |  |  |  |  |  |  |  |  |  |\n| p\u003Cbr>value | Degrees of Freedom |  |  |  |  |  |  |  |  |  |\n|  | 1 | 2 | 3 | 4 | 5 |  | 6 | 7 | 8 |  |\n| 0.05 | 3.84 | 5.99 | 7.81 | 9.49 | 11.07 |  | 12.59 | 14.07 | 15.51 |  |\n| 0.01 | 6.63 | 9.21 | 11.34 | 13.28 | 15.09 |  | 16.81 | 18.48 | 20.09 |  |\n| Laws of Probability\u003Cbr>If A and B are mutually exclusive, then:\u003Cbr>P (A or B) = P (A) + P (B) If A and B are independent, then:\u003Cbr>P (A and B) = P (A) 􀁵 P (B)\u003Cbr>Hardy-Weinberg Equations\u003Cbr>p2 + 2pq + q2 = 1 p = frequency of allele 1 in a\u003Cbr>population\u003Cbr>p + q = 1\u003Cbr>q = frequency of allele 2 in a population |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  | Metric Prefixes\u003Cbr>Factor  Prefix  Symbol\u003Cbr>109 giga G\u003Cbr>106 mega M\u003Cbr>103 kilo k 10–1 deci d 10–2 centi c 10–3 milli m 10–6 micro μ 10–9 nano n 10– 12 pico p |\n| Mode = value that occurs most frequently in a data set\u003Cbr>Median = middle value that separates the greater and lesser halves of a data set\u003Cbr>Mean = sum of all data points divided by number of data points\u003Cbr>Range = value obtained by subtracting the smallest observation (sample minimum) from the greatest (sample maximum) |  |  |  |  |  |  |  |  |  |  |\n\n\n| Rate and Growth\u003Cbr>Rate dY = amount of change\u003Cbr>ddYt~~ ~~ dt = change in time\u003Cbr>B = birth rate\u003Cbr>Po~~p~~dN~~ulation ~~Growth D = death rate  dt  = B-D N = population size\u003Cbr>Exponential Growth K = carrying capacity\u003Cbr>dN  rmax = maximum per capita\u003Cbr>dt = rmaxN growth rate of population\u003Cbr>Logistic Growth\u003Cbr>dNdt = rmaxN (~~ ~~K~~ ~~K-N~~ ~~ ) |  | Water Potential ( Y ) Y = YP + YS\u003Cbr>YP = pressure potential YS = solute potential\u003Cbr>The water potential will be equal to the solute potential of a solution in an open container because the pressure potential of the solution in an open container is zero.\u003Cbr>The Solute Potential of a Solution\u003Cbr>YS = -iCRT\u003Cbr>i = ionization constant (1 .0 for sucrose because sucrose does not ionize in water)\u003Cbr>C = molar concentration\u003Cbr>R = pressure constant\u003Cbr>( R = 0.0831 liter bars/mole K) T = temperature in Kelvin (ºC + 273) |  |\n| --- | --- | --- | --- |\n| Simpson’s Diversity Index\u003Cbr>Diversity Index = 1- Â(~~ ~~nN~~ ~~ )2\u003Cbr>݊ ൌ total number of organisms of a particular species ܰ ൌ total number of organisms of all species |  |  |  |\n|  |  | pH = – log[H+] |  |\n| Surface Area and Volume |  |  |  |\n| Surface Area of a Sphere\u003Cbr>SA 􀀠 4􀁓 r2\u003Cbr>Surface Area of a Rectangular Solid\u003Cbr>SA 􀀠 2lh 􀀎 2lw 􀀎 2wh\u003Cbr>Surface Area of a Cylinder\u003Cbr>SA 􀀠 2􀁓 rh 􀀎 2􀁓 r2\u003Cbr>Surface Area of a Cube\u003Cbr>SA 􀀠 6s2 | Volume of a Sphere\u003Cbr>4 3 V 􀀠 ~~ ~~ 􀁓 r\u003Cbr>3\u003Cbr>Volume of a Rectangular Solid\u003Cbr>V 􀀠 lwh\u003Cbr>Volume of a Cylinder\u003Cbr>V 􀀠 􀁓 r2 h\u003Cbr>Volume of a Cube\u003Cbr>V 􀀠 s3 |  | r = radius l = length h = height w = width\u003Cbr>s = length of one side of a cube\u003Cbr>SA = surface area V = volume |\n\nBIOLOGY  \n","cbCaijTHaCwsDoFf","https://ap.wps.com/l/cbCaijTHaCwsDoFf","pdf",676945,15,"English","# AP® BIOLOGY EQUATIONS AND FORMULAS\n## Statistical analysis and probability\n## Laws of probability and Hardy-Weinberg equations\n## Metric prefixes and basic data statistics\n## Rate and growth and logistic/exponential growth\n## Water potential and solute potential\n## Simpson’s diversity index\n## pH and surface area/volume formulas\n# BIOLOGY - SECTION II\n## Exam timing, number of questions, and response directions\n## Question 1 topic: crossing over and meiosis I","[{\"question\":\"What are the key directions for Section II free-response answers?\",\"answer\":\"Questions 1–2 are long free-response questions requiring about 25 minutes each, while questions 3–6 are short requiring about 10 minutes each. Answers must be written in paragraph form, and credit is given only for what is written in the separate Free Response booklet.\"},{\"question\":\"How are standard deviation and standard error of the mean defined on the sheet?\",\"answer\":\"Standard deviation is presented as the sample-based estimate of population variability, and the sheet lists a formula for standard error of the mean (SE) based on sample standard deviation and sample size.\"},{\"question\":\"Which equations are included for genetics and population genetics?\",\"answer\":\"Hardy-Weinberg equations (p2 + 2pq + q2 = 1, with p + q = 1 and definitions for allele frequencies) and other related biological relationships are provided as part of the reference formulas.\"}]","AP Biology - Free-Response Questions 2024 - AP® BIOLOGY EQUATIONS AND FORMULAS | PDF",38]