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The document includes AP Biology equations and formulas, covering statistical and probability measures, probability laws, Hardy-Weinberg genetics, biodiversity and pH calculations, water potential and solute potential, population growth models, and geometric surface-area and volume formulas. It also provides the Section II timing and writing requirements, followed by long free-response prompt 1 describing the PHO signaling pathway and experimental use of mutant yeast strains to assess APase activity.",{"@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/ap-biology-free-response-questions-2023/433972/",{"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/ap-biology-free-response-questions-2023/433972.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-11","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the time and question-count requirements for Section II?","Question",{"text":112,"@type":113},"Section II lasts 1 hour and 30 minutes and contains 6 questions. Questions 1–2 are long free-response questions (~25 minutes each), and questions 3–6 are short free-response questions (~10 minutes each).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What writing format is required for the free-response answers?",{"text":117,"@type":113},"Answers must be written in paragraph form. Outlines, bulleted lists, or diagrams alone do not earn credit.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the PHO signaling pathway regulate Pho target gene expression when extracellular Pi is high versus low?",{"text":121,"@type":113},"When extracellular inorganic phosphate (Pi) is high, Pho4 is phosphorylated by the Pho80–Pho85 complex and Pho target genes are not expressed. When Pi is low, Pho80–Pho85 is inhibited by Pho81, enabling Pho4 to induce target gene expression.","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},433972,1790887275,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","2023  \nAP® Biology  \nFree-Response Questions  \n© 2023 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","cbCaicIxUK89ITCu","https://ap.wps.com/l/cbCaicIxUK89ITCu","pdf",533636,15,"English","# AP Biology Equations and Formulas\n# Section II Directions\n## Question 1","[{\"question\":\"What are the time and question-count requirements for Section II?\",\"answer\":\"Section II lasts 1 hour and 30 minutes and contains 6 questions. Questions 1–2 are long free-response questions (~25 minutes each), and questions 3–6 are short free-response questions (~10 minutes each).\"},{\"question\":\"What writing format is required for the free-response answers?\",\"answer\":\"Answers must be written in paragraph form. Outlines, bulleted lists, or diagrams alone do not earn credit.\"},{\"question\":\"How does the PHO signaling pathway regulate Pho target gene expression when extracellular Pi is high versus low?\",\"answer\":\"When extracellular inorganic phosphate (Pi) is high, Pho4 is phosphorylated by the Pho80–Pho85 complex and Pho target genes are not expressed. When Pi is low, Pho80–Pho85 is inhibited by Pho81, enabling Pho4 to induce target gene expression.\"}]","AP Biology - Free-Response Questions - 2023 | PDF",1790666437,38]