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The items cover exponents and radicals, function operations and transformations, linear equations and inequalities with absolute values, logarithmic and exponential function concepts, polynomial and rational expressions, trigonometric relations, and word problems. The test specifies no calculators are allowed and includes answer mappings by question number and topic tags.",{"@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/precalculus-diagnostic-sample-test/451213/",{"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/precalculus-diagnostic-sample-test/451213.png","ImageObject",300,407,{"name":92,"@type":93},"วิน","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"Are calculators allowed on the test?","Question",{"text":113,"@type":114},"No. The test states that calculators are not allowed.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How many multiple-choice questions are included?",{"text":118,"@type":114},"The sample contains 15 multiple-choice questions, numbered 1 through 15.",{"name":120,"@type":111,"acceptedAnswer":121},"What topics are assessed in the diagnostic sample?",{"text":122,"@type":114},"Topics include exponents and radicals, functions, linear equations and inequalities/absolute values, logarithmic and exponential functions, polynomials, rational expressions and their graphs, trigonometry, and word problems.","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},451213,1790884126,{"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":81,"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":39},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","MDTP Precalculus Diagnostic Sample Test  \nCalculators are not allowed for the test.  \n1. a −2 ( a −1 + a−4 ) =  \n−7 1 1 1 1 2 8  \n(A) a (B)  a 3 + a 6  (C) a 3  + a 6  (D)  a 3 + a 6  (E) a + a  \n2.  x  =  \n33  \n(A) x~~ ~~336~~ ~~ (B) x~~ ~~399~~ ~~ (C) 333~~ ~~ (D) x~~ ~~339~~ ~~ (E) x~~ ~~333  \n3. If f ( x ) = 2x − 7 and g ( x ) = 2x2 − 3, then f ( g ( 3)) =  \n(A) 2 (B) 1 (C) 15 (D) -7 (E) 23  \n4. The graph of y = f ( x ) is shown in the figure to the right. Which of the following is the graph of y = f ( x ) +1?  \n(A) (B)  \n(C ) (D) (E)  \n5. The inequality 7 − x  > 8 is equivalent to  \n(A) −1\u003C x \u003C 15 (B) x > 15 (C) 15 \u003C x or −1 > x (D) −1\u003C x or 15 > x (E) x \u003C −1  \n6. If 23 ( x −1) + 3 = 5x, then x =  \n(A) ~~ ~~913 (B) ~~ ~~73 (C) 113~~ ~~ (D) 713 (E) −12  \n\n| 7. | If 7 = 5s then s =\u003Cbr>\u003Cbr>(A)\u003Cbr>75\u003Cbr>7\u003Cbr>(B) 35 (C) s 5\u003Cbr>(D) log7 5 (E) log5 7 |  |\n| --- | --- | --- |\n| 8. | If log4 x + log4 ( x − 5) = log4 24, then x =\u003Cbr>(A) 19 (B) 6 (C) 3 (D) 8 (E) −3 |  |\n| 9. | One of the roots of 3x2 +11x − 4 is\u003Cbr>(A) 4 (B) 1 (C)  1 (D) −3 (E)  1 \u003Cbr>3 3\u003Cbr>|  |\n| 10. | The inequality x2 \u003C 9 is equivalent to\u003Cbr>(A) x \u003C 3 (B) x > −3 (C) x \u003C 3 or x > −3 (D) −3 \u003C x \u003C 3 | (E) x \u003C 9 |\n| 11. | if sin x = −  3  , cos x =  1 and 0 ≤ x ≤ 2π , then x = 2 2\u003Cbr>(A) 2π3~~ ~~ (B) 7π3~~ ~~ (C) 5π6~~ ~~ (D) 5π3\u003Cbr>| (E) − ~~ ~~π6 |\n\n12.  \n14 − 7x  \n2  \nx −x ~~ ~~ = x − 2  \nx −1  \n(A) ~~ ~~14xx−71x~~ ~~2~~ ~~ (B) 14x2xx~~ ~~ (C) − ~~ ~~x~~ ~~1 (D) 2~~ ~~−x~~ ~~x~~ ~~ (E) − ~~ ~~7x  \n13. If 13~~ ~~ is 56 of 12 of a certain number, then that number is  \n(A) −4 (B) ~~ ~~16 (C) 152~~ ~~ (D) ~~ ~~45 (E) 12  \n\n| \u003Cbr>14. In the figure shown to the right, x =\u003Cbr>(A) ~~ ~~125 (B) 3 (C) ~~ ~~103 (D) 5 (E) 30 |  |\n| --- | --- |\n| 15. | For how many different values of θ between 0 and 2π radians is sec x = cscx ?\u003Cbr>(A) 0 (B) 1 (C) 2 (D) 3 (E) 4 |\n\nKEY-Precalculus Diagnostic Sample Test  \n\n| Question | Correct Answer | Topic |\n| --- | --- | --- |\n| 1 | C | EXPR |\n| 2 | D | EXPR |\n| 3 | E | FUNCT |\n| 4 | B | FUNCT |\n| 5 | C | LINR |\n| 6 | D | LINR |\n| 7 | E | LOGX |\n| 8 | D | LOGX |\n| 9 | C | POLY |\n| 10 | D | POLY |\n| 11 | D | TRIG |\n| 12 | E | RATL |\n| 13 | D | WORD |\n| 14 | D | WORD |\n| 15 | C | TRIG |\n\n\n| EXPR FUNCT\u003Cbr>LINR\u003Cbr>LOGX POLY RATLTRIG\u003Cbr>WORD | Exponents and Radicals\u003Cbr>Functions\u003Cbr>Linear Equations and Inequalities, and Absolute Values Logarithmic and Exponential Functions\u003Cbr>Polynomials and Polynomial Functions\u003Cbr>Rational Expressions and their Graphs Trigonometry\u003Cbr>Word Problems |\n| --- | --- |","cbCaidbIXtgo8xLM","https://ap.wps.com/l/cbCaidbIXtgo8xLM","pdf",69327,"English","# Questions","[{\"question\":\"Are calculators allowed on the test?\",\"answer\":\"No. The test states that calculators are not allowed.\"},{\"question\":\"How many multiple-choice questions are included?\",\"answer\":\"The sample contains 15 multiple-choice questions, numbered 1 through 15.\"},{\"question\":\"What topics are assessed in the diagnostic sample?\",\"answer\":\"Topics include exponents and radicals, functions, linear equations and inequalities/absolute values, logarithmic and exponential functions, polynomials, rational expressions and their graphs, trigonometry, and word problems.\"}]","Precalculus Diagnostic Sample Test | PDF",1790734602]