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Calculator use is prohibited for this section, emphasizing procedural accuracy.",{"@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-calculus-ab-practice-exam-section-i-part-a-time-55-minutes/311452/",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-calculus-ab-practice-exam-section-i-part-a-time-55-minutes/311452.png","ImageObject",300,407,{"name":42,"@type":43},"Melati","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-21","2026-09-20",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",13,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How long is Section I, Part A of the AP Calculus AB practice exam?","Question",{"text":63,"@type":64},"The exam section is timed for 55 minutes.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Is a calculator allowed on this part of the exam?",{"text":68,"@type":64},"No. A calculator may not be used on this part of the examination.",{"name":70,"@type":61,"acceptedAnswer":71},"What kinds of calculus topics are included in the questions?",{"text":72,"@type":64},"The questions cover differentiation and integration, including definite integrals, average value, parameter identification from function properties, and differentiability or tangent behavior from graphs.","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},311452,1790281020,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"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":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":145,"read_time":146,"preview_page_count":4},962085570644,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","AP Calculus AB Practice Exam  \nCALCULUS AB SECTION I, Part ATime—55 minutes Number of questions—25  \nA CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAMINATION.  \nDirections: Solve each of the following problems. After examining the choices, select the choice that best answers the question. No credit will be given for anything written in the test book.  \nIn this test: Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.  \n7  \n1.  ^x-1~~ ~~3h2~~ ~~ dx =  \nA. 217 B. 34 C. 19  \nD. ln4-ln3  \n2  AP CALCULUS AB PRACTICE EXAM  \nx  \n2. \\# costdt =  \nr  \n2  \nA. cosx  \nB. -cosx  \nC. sinx-1  \nD. sinx  \nE. 1-sinx  \n3. e2 c ~~ ~~x~~ ~~3~~ ~~~~ ~~1~~ ~~ mdx = A. e~~ ~~66-e2~~ ~~1  \nB. e 12 + 2e6-1  \n6  \nC. e9 + e 3 -1  \ne 3 D. e9~~ ~~+~~ ~~93ee33~~ ~~-1 E. e9~~ ~~e-3~~ ~~1 + ln2  \n4. A particle moves along the y-axis so that its position at time  \n0 \\# t \\# 20 is given by y^th = 5t- ~~ ~~t~~ ~~23~~ ~~ . At what time does the particle change direction?  \nA. 5 seconds  \nB. 7.5 seconds  \nC. 10 seconds  \nD. 15 seconds  \nE. 18 seconds  \nAP CALCULUS AB PRACTICE EXAM 3  \n5. Find the average value of y = x 3  x 4-1 on the interval [1,3] .  \nA. 216  5  \nB. 216  5  \n3  \nC. 80  5  \nD. 80 5  \n3 E. 640  5  \n27  \n| x | 1 | 3 | 5 |\n| --- | --- | --- | --- |\n| f(x) | 4 | k | 3 |\n\n6. Given that f is a continuous function on the interval [1,5] and that f takes values shown in the table. The function f will have two zerosin the interval [1,5] if k =  \nA.–1  \nB. 0  \nC. 1  \nD. 2  \nE. 3  \n7. If dydt = ky and k ! 0 , which of the following could be the equation of y?  \nA. y = kx-7  \nB. y = 95ekt  \nC. y = 5 + lnk  \nD. y = ^x-kh2  \nE. y = k x  \n4  AP CALCULUS AB PRACTICE EXAM AP CALCULUS AB PRACTICE EXAM 5  \nx  \n8. If F^xh = \\#  t 2-t dt , then Fl ^3h = 1  \nA. 6  \nB. 5  \nC.  6  \nD. 5  \nE.  3  \n9. If f^xh = tan^e2xh, then f m ^xh =  \nA. 2e2x sec2 ^e2xh  \nB. 8e2x tan^e2xh  \nC. 4e2x sec2 ^e2xh  \nD. 8e4x sec2 ^e2xhtan^e2xh  \nE. 4e2x sec2 ^e2xh62e2x tan^e2xh+ 1@  \n10. If f^xh = sec^3xh, then f l a~~ ~~3~~r~~4~~ ~~ k =  \nA. -3  2  \nB. -~~3 ~~2~~2  ~~C. 32  \nD. 3  2  \n2  \nE. 3  2  \n11. If f^xh = *x3exx for 0 \\# xfor1 1 x 1\\# 13 , then lx1 f^xh is  \nA. 0  \nB. 1  \nC. e  \nD. e 3  \nE. nonexistent  \n12. If f m ^xh = x^x-2h^x + 1h2 , then the graph off has points of inflection when x =  \nA.–2 and 1  \nB. 2 and –1  \nC. 2 and 0  \nD.–2 and 0  \nE. 0, 2 and –1  \n13. If 3x2-4xy = 1 , then when x = 1, dydx = A. 32  \nB. 1  \nC. 12  \nD. 0  \nE. - ~~ ~~12  \n14. If a curve is defined by f^xh = 1-x cosx , an equation of the normal to the curve at a ~~ r~~2~~ ~~ , 1 k is  \nA. y = ~~ r~~2x + ~~ r~~2  \nB. y = ~~ r~~2x + a ~~ r~~2~~ ~~ k2  \nC. y = ~~ ~~2x~~r~~-2  \nD. y = - ~~ ~~2x~~r~~ + 2  \nE. y = - ~~ ~~2x~~r~~-2  \n6  AP CALCULUS AB PRACTICE EXAM AP CALCULUS AB PRACTICE EXAM 7  \n15. If a function is given by f^xh = xx2~~ ~~+-31~~ ~~ , what is the instantaneous rate of change of the function at x = 3?  \nA. ~~ ~~716  \nB. - ~~ ~~716 C. ~~ ~~1116  \nD. - ~~ ~~1116 E. 16  \n16. If f^xh is a twice differentiable function on the interval a 1 x 1 b , b  \nand f l ^xh = c for all a 1 x 1 b, then \\# f m ^xhdx =  \na  \nA. b-a  \nB. c^b-ah  \nC. 0  \nD. c^a-bh  \nE. a-b  \n17. If f^xh is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), which of the following must be true?  \nI. If f^ah = f^bh, then for some value c between a and b, f l ^ch = 0  \nII. If k is any number between f^ah and f^bh, there is a value c d^a, bh such that f^ch = k .  \nIII. There is a value c d^a, bh such that f l ^ch = f^bhb--fa^ah .  \nA. I only  \nB. II only  \nC. III only  \nD. I and III  \nE. I, II, and III  \n18. Let f and g be differentiable functions such that f^xh ! 0 and g^2h = 3 . If h^xh = gf^^xhxh and hl ^xh = ~~ ~~-g^6fx^hfxhxh , then g^xh =  \nA. f^3h  \nB. 0  \n6f^xh@2  \nC. - lf ^xh  \nD. 3  \nE. f l ^2hx + 3  \n19. Over the interval 0 \\# t \\# 5 , the position of a particle is given by s^th = t4-t3 -t + 1 . What is the mi","cbCaibyZKeaq1Jf5","https://ap.wps.com/l/cbCaibyZKeaq1Jf5","pdf",47049205,21,"English","# AP Calculus AB Practice Exam\n## Section I, Part A\n## Practice Questions 1-27","[{\"question\":\"How long is Section I, Part A of the AP Calculus AB practice exam?\",\"answer\":\"The exam section is timed for 55 minutes.\"},{\"question\":\"Is a calculator allowed on this part of the exam?\",\"answer\":\"No. A calculator may not be used on this part of the examination.\"},{\"question\":\"What kinds of calculus topics are included in the questions?\",\"answer\":\"The questions cover differentiation and integration, including definite integrals, average value, parameter identification from function properties, and differentiability or tangent behavior from graphs.\"}]","AP Calculus AB Practice Exam - Section I, Part A - Time 55 Minutes | PDF",1789894303,53]