[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-397927-105":59,"doc-detail-397927-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","calculus-readiness-test-sample-exam","Calculus Readiness Test - Sample Exam","","Calculus Readiness Test (Sample Exam) assesses core prerequisites for Calculus 1, focusing on quick recall of algebra, trigonometry, functions, logarithms, domains, and equation solving. The exam requires selecting correct multiple-choice answers across topics such as trig function definitions and radian-degree conversion, exponent and log laws, solving linear and quadratic equations, simplifying compound expressions, determining function inverses, composing functions, and factoring key polynomial forms. After practice, answers are checked against the provided solutions to identify topic deficiencies.",{"@graph":69,"@context":123},[70,84,106],{"@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/calculus-readiness-test-sample-exam/397927/",{"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/calculus-readiness-test-sample-exam/397927.png","ImageObject",300,407,{"name":92,"@type":93},"Adam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-27",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"How long should you plan to finish the Calculus Readiness Test?","Question",{"text":113,"@type":114},"Plan to finish the exam in under 1 hour.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What should you do after taking the practice test?",{"text":118,"@type":114},"Check your answers with the correct ones given on the reverse side, then review the topical list to determine deficiencies.",{"name":120,"@type":111,"acceptedAnswer":121},"Which prerequisite topics are covered in the test?",{"text":122,"@type":114},"Basic trigonometric function definitions, algebra, exponents, exponential and logarithmic laws, solving linear and quadratic equations, function domains and inverses, composition of functions, and factoring/simplifying expressions.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},397927,1790867569,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},1374404737137,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","University of Massachusetts Lowell  \nDepartment of Mathematical Sciences  \nCalculus Readiness Test  \n(Sample Exam)  \nDirections: You should plan on finishing the exam in under 1 hour. Part of the needs of Calculus 1 are not only to know certain algebra and trigonometry topics, but be able to fairly quickly have them at your fingertips. The thread of calculus can easily be lost if you are struggling with the necessary background mathematics. Once you have taken your practice test, check your answers with the correct ones given on the reverse side of this sheet.  \nOnce you have taken your practice test, check your answers with the correct ones given below, and then check the topical list to determine your deficiencies.  \n1. If 0o ≤ x \u003C 90o , then tan x cos x simplifies to:  \nA) sin x B) cos x C) cot x D) sec x E) cscx  \n2. The expression (~~ ~~x4~~ ~~y−x3y35~~ ~~)2 simplifies to:  \nA) xy36~~ ~~ B) xy511~~ ~~ C) xy126~~ ~~ D) x 9 y −6 E) None of these.  \n3. If f (x) = 2x , and a and b are any positive numbers, then f (a + b) is equivalent to:  \nA) f (a) ⋅ f (b) B) ff~~ ~~(~~(~~ab~~)~~)~~ ~~ C) f (ab ) D) f (a) + f (b) E) None of these.  \n4. The domain of g (x) = 1 is:  \n  3 − x  \nA) [ 3, ∞ ) B) ( 3, ∞ ) C) (−∞ , 3] D) (−∞ , 3 ) E) None of these.  \n5. The angle 150o in radian measure is given by:  \nA) 51π2~~ ~~ B) 56π~~ ~~ C) 75π D) 5π6~~ ~~ E) None of these.  \n6. Solve for x: 6.4x − 3.2 = 4.4 x + 1 .2  \nA) x = − 2.2 B) x = 2 C) x = − 1 D) x = 1.1 E) None of these.  \n7. One solution to the equation 3 x 2 + x − 5 = 0 is:  \nA) −1+i6 61 B) i6 C) 6  8. What is the number ( .01) − 2 equal to?  \nA) .01 B) 10 C) 1000  \nD) 6 E) None of these.  \nD) .1 E) 100  \n9. If f ( x ) = x 2 and g ( x ) = x 3 + 2x , what is the compostion ( f og ) (x) ?  \nA) x 5 + 2x3 B) ( x 3 + 2x )2 C) x 6 + 4 x2 D) ~~ ~~x~~ ~~3+x42x~~ ~~ E) None of these.  \n10. Solve log10 ( x −1) = 2 for x.  \nA) 1025 B) 21 C) 101 D) 99 E) None of these.  \n11. The function f (x) = cot x is not defined for:  \nA) x = 0 B) x = π4~~ ~~ C) x = π2~~ ~~ D) x = π3~~ ~~ E) None of these.  \n12. In the right triangle shown, a = 8 and c = 10, find tan A  \nA  \nA) ~~ ~~53~~ ~~ B) ~~ ~~35~~ ~~ C) 34~~ ~~ c  \nb  \nD)  4  E) None of these.   \n3 B  \na  \n13. One solution to the equation 5xx~~ ~~~~ ~~415 = ~~ ~~x~~ ~~~~ ~~3 is:  \nA) 3 B) 1 C) − 3 D) 2  5 + 2 E) None of these.  \n 1  2  \n+ a  \n14. The expression ~~ ~~b12~~ ~~2~~ ~~ simplifies to: (Ignore the domain change when simplified.)  \n 2  + b  \na  \nA) 11~~ ~~ab44~~ ~~ B) b2~~ ~~+~~ ~~aa2~~ ~~b22~~ ~~ C) b2a2~~ ~~ D) ab22~~ ~~ E) None of these.  \n15. Find the equation of the line through the two points (5,3) and (−1,6) .  \nA) y = 12 x + 112 B) y = − ~~ ~~12x + 112 C) y = 2 x + 8  \nD) y = − 2 x + 4 E) None of these.  \n16. If f (x) = 5 x − 2 , the inverse function is:  \nA) f −1 (x) = ~~ ~~15 x + 2 B) f −1 (x) = ~~ ~~x~~ ~~+5~~ ~~2~~ ~~ C) f −1 (x) = ~~ ~~15 x − ~~ ~~12~~ ~~ D) f −1 (x) = 2x − 5 E) None of these.  \n17. x −3 − y −3 is equivalent to:  \nA) ( x − y )−3 B) xx33y3~~ ~~ C) ~~( ~~x~~ ~~−1y~~ )~~3~~ ~~ D) yx3−x3~~ ~~y33~~ ~~ E) None of these.  \n18. The expression x 4 y − xy 4 may be factored as:  \nA) (x − y) (x2 − y 2 ) (x2 + y2 ) B) xy ( x −y )3 C) xy ( x − y )(x2 + xy + y2 )  \n(Sample)  \nD) ( x2 y − x y2 ) 2 E) None of these.  \n19. The exact value of cos ~~ ~~4π3 is  \nA)  B) −  C)  1  D) −  1  E) None of these.  \n2 2 2 2  \n20. The expression log 2 2x − 2log 2 y + log 2 z is equivalent to:  \nA) log 2 􀀈􀀊􀀉 ~~ ~~2xy2z~~ ~~ 􀀇􀀆􀀅 B) log 2 􀀈􀀊􀀉 ~~ ~~xyz~~ ~~ 􀀇􀀆􀀅 C) log 2 (2 x − y 2 + z) D) log222~~l~~oxgogy2~~ ~~z E) None of these.  \nScroll Down for Correct Answers  \nCorrect Solutions:  \n1) A  \n11) A  \n2) B  \n12) D  \n3) A  \n13) E  \n4) D  \n14) D  \n5) D  \n15) B  \n6) E  \n16) B  \n7) C  \n17) D  \n8) B  \n18) C  \n9) B  \n19) D  \n10) C  \n20) A  \nQuestion Related Topics  \n1) Basic definitions of trigonometric functions  \n2) Laws of exponents  \n3) Exponential functions, laws of exponents  \n4) Functions, solution of inequalities  \n5) Relationship between radians ","cbCaikfIUc7mqm1p","https://ap.wps.com/l/cbCaikfIUc7mqm1p","pdf",99122,"English","# Questions\n## Trigonometric functions and radians/degrees\n## Exponential and logarithmic laws\n## Functions: domain, inverse, and composition\n## Equations and inequalities\n## Simplifying expressions\n## Factoring and function transformations\n## Geometry and slope","[{\"question\":\"How long should you plan to finish the Calculus Readiness Test?\",\"answer\":\"Plan to finish the exam in under 1 hour.\"},{\"question\":\"What should you do after taking the practice test?\",\"answer\":\"Check your answers with the correct ones given on the reverse side, then review the topical list to determine deficiencies.\"},{\"question\":\"Which prerequisite topics are covered in the test?\",\"answer\":\"Basic trigonometric function definitions, algebra, exponents, exponential and logarithmic laws, solving linear and quadratic equations, function domains and inverses, composition of functions, and factoring/simplifying expressions.\"}]","Calculus Readiness Test - Sample Exam | PDF",1790468339]