[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-434877-105":59,"doc-detail-434877-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","precalculus-math-sample-multiple-choice-practice-questions","Precalculus Math Sample - Multiple Choice Practice Questions","","Precalculus math sample provides a timed assessment format with 30 multiple-choice questions. The content covers key skills in functions, including evaluating expressions and compositions, analyzing symmetry and parity (odd/even), domain and inverse relationships, and solving linear systems. It also tests equations and inequalities, logarithmic and exponential equations, rationalizing denominators, and trigonometry topics such as period, amplitude, phase shift, exact trig values, and identities, with an answer key at the end.",{"@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/precalculus-math-sample-multiple-choice-practice-questions/434877/",{"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-math-sample-multiple-choice-practice-questions/434877.png","ImageObject",300,407,{"name":92,"@type":93},"lilac","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-29",true,{"@type":102,"interactionType":103,"userInteractionCount":44},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How many multiple-choice questions are included in the sample, and is there a time limit?","Question",{"text":112,"@type":113},"The sample includes 30 multiple-choice questions with up to 90 minutes to complete them.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are calculators and dictionaries allowed during the practice?",{"text":117,"@type":113},"No. Calculators and dictionaries are NOT allowed.",{"name":119,"@type":110,"acceptedAnswer":120},"What main math areas does the sample question set cover?",{"text":121,"@type":113},"It covers functions (including symmetry, domain, composition, inverse), solving linear systems, equations/inequalities, and trigonometry with period/amplitude/phase shift, as well as logarithmic and exponential equations.","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},434877,1790979278,{"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":44,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":52},3985747861865,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","You have up to 90 minutes to complete 30 multiple choice questions.  \nCalculators and dictionaries are NOT allowed.  \nSample Questions  \nf (a + h) − f (a)  \n1. f (x) = 4x2 − 7x . Find .  \nh  \nA) 8a + 2h B) 4a + 2h − 7 C) 8a + 4h − 7 D) 6a + 2h − 7  \n2. Which one of the following has a graph symmetric with respect to the y-axis?  \nA) y = 2x  B) x = 4y2 C) xy = 3 D) (x − 2)2 + ( y +1)2 = 4  \n3. Find (g 􀀤 f )(x) , if f (x) = 3x − 2 and g(x) = x2 + x − 1  \nA) 3x2 + 3x − 5 B) 9x2 − 11x + 3  \nC) 3x2 + 3x − 3 D) 9x2 − 9x + 1  \n4. Which one of the functions is neither odd nor even?  \nA) f (x) = 3x  B) f (x) = 2x2 + 3  \nC) f (x) = x − 1 D) f (x) = − x3 − 2x  \n5. The domain of the function f (x) = 4 − 2x is  \nA) {x | x ≤ 2} B) {x | x > 0} C) {x | x ≥ 2} D) {x | x > 2}  \n6. An equation of the line through the points (3,2) and (−6,−1) is  \nA) x + 3y = 3 B) x − 3y = 3  \nC) 3x −y = −3 D) x − 3y = −3  \n7. Find the distance between the points P(−3,−5) and Q(1,−3) .  \nA) 12 B) 8 C) 45  D) 25  \n8. Find the equation of the line containing the point (6, -6) and parallel to  \nthe line 2y − x = 10 .  \nA) y = − ~~ ~~12~~ ~~ x − 12 B) y = −2x − 6  \nC) y = −2x + 6 D) y = ~~ ~~12~~ ~~ x − 9  \n9. Which line is perpendicular to 2x + 6y = 1?  \nA) y = −3x + 4 B) 2x − 6y = 1 C) 6x − 2y = 1 D) 2x + 6y = − 1  \n 6  \n10. Rationalize the denominator ~~   ~~ .  \n 5 + 8  \nA) +589~~ ~~ B) 30~~  ~~−138~~ ~~ C) ~~ ~~304+0~~ ~~5~~ ~~ D) ~~ ~~−589~~ ~~  \n11. Which quadratic equation has the following solutions? 3 + 2i and 3 − 2i  \nA) x2 − 6x + 7 = 0 B) x2 − 6x + 11 = 0  \nC) x2 + 6x + 9 = 0 D) x2 + 6x + 7 = 0  \n9x + 9y = 81  \n12. Solve the system  \n−7x + 4y = 36  \nA)–1, 10 B) No solution C) 0, 9 D) 0, 10  \n13. What is the value of k in the polynomial function P(x) = 2x3 − 3x2 + kx − 1, if P(−1) = 4?  \nA) −10 B) −4 C) −2 D) 6  \n14. Find (f+g)(x) when f(3) = x + 6, and g(x) = x – 1.  \nA) 13 B)– 1 C) 1 D) 11  \n15. For f (x) = 2x − 5 and g (x) = x + 8 , what is the domain of g 􀀤 f ?  \nA) [−∞, −1.5) B) [8, ∞) C) [−1.5, ∞) D) (−8,8)  \n16. Given f (x) = 7x + 2, find f −1(x) .  \nA) −7x − 2 B) x~~ ~~−7~~ ~~2~~ ~~ C) x7 − 2 D) 7x~~ ~~2  \n17. Compute and simplify the difference quotient f~~ ~~(x~~ ~~+~~ ~~hh)~~ ~~−~~ ~~f~~ ~~(x) , h ≠ 0 where f (x) = ~~ ~~6~~ ~~~~ ~~x .  \nA)  1  B)  x  C) −  6  D)  hx (6 − x − h)(6 − x) (6 − x + h)(6 − x) (6 − x + h)(6 − x) (6 − x − h)(6 − x)  \n18. Solve: logx 8 = −3  \nA) 2 B) 512 C) 12~~ ~~ D) −2  \n19. Solve: logx (log2 8) = 2  \nA) 3 B) 32~~ ~~ C) 2  D) 3  \n20. Solve: log4 (x + 6) − log4 x = 2  \nA) 233~~ ~~ B) 2 C) 52~~ ~~ D) 25  \n21. Solve for t: 272t−1 = 81t+2  \nA) 3 B) −3 C) − ~~ ~~12~~ ~~ D) 112  \n22. Solve the equation x + 6 + 7 = 9 .  \nA) 2 B)– 2 C)– 6 D) 6  \n23. Solve the inequality 13x − 9 \u003C −3 .  \nA) 􀂧􀂩􀂨 163 , ~~ ~~1213􀂷􀂹􀂸 B) ∅ C) (−∞, ∞) D) 􀂨􀂧􀂩−∞, ~~ ~~163􀂷􀂹􀂸 ∪ 􀂧􀂨􀂩 ~~ ~~1213 , ∞􀂷􀂹􀂸  \n3  \n24. Find the inverse of the function f (x) =  + 4 .  \n3  \nA) f −1(x) = (x + 4)3 B) f −1(x) =  − 4 C) f −1(x) = (x − 4)3 D) f −1(x) = x3 − 4  \n25. Solve: log(3x + 7) + log(x − 2) = 1  \nA) 83~~ ~~ B) 3 C) −1 D) 52  \n26. Solve the exponential equation 3(1+2 x) = 27 .  \nA) 3 B)– 1 C) 1 D) 9  \n9π  \n27. Find the exact value of cos ~~ ~~ .  \n4  \nA) − ~~ ~~22~~ ~~ B) 22~~ ~~ C) 12~~ ~~ D) − ~~ ~~12  \n28. In a right triangle, if t = u sec V, which side is the hypotenuse?  \nA) t B) u C) v D) none of these  \n29. In which quadrant does θ lie if sin θ \u003C 0 and cos θ > 0?  \nA) I B) II C) III D) IV  \n􀂧 π 􀂷  \n30. Find the period of y = −4 sin 􀂩􀂨 8x +  2 􀂹􀂸 .  \nΑ) 8 Β) π C) 4 D) π4  \n31. Find the exact value of cot (−120) . Do not use a calculator.  \nA) 3  B) 3 /3 C) - 3 /3 D) − 3  \n32. Simplify sin θ (secθ tan θ + csc θ + cot θ ) .  \nA) sin 2 θ −1+ cos θ B) sec2 θ + cos θ C) sin θ + 2secθ D) 1+ 2 sin 2 θ  \n33. The graph ofy = sin x passes through the point:  \nA) (0, 1) B) (π/6, 1/4) C) (π/2, 1) D) (π, −1)  \n34. What is the period of the function y = 4 sin (πx)?  \nA) 2π B) 4π C) 2 D) 4  \n35. The amplitude of the function y = −4 sin 3x is:  \nA) 1 B) 3 C) 4 D) − 4  \n36. Th","cbCaii4POzDnzQzY","https://ap.wps.com/l/cbCaii4POzDnzQzY","pdf",230736,"English","# Sample Questions\n## Functions and Equations\n## Logarithms, Exponentials, and Trigonometry","[{\"question\":\"How many multiple-choice questions are included in the sample, and is there a time limit?\",\"answer\":\"The sample includes 30 multiple-choice questions with up to 90 minutes to complete them.\"},{\"question\":\"Are calculators and dictionaries allowed during the practice?\",\"answer\":\"No. Calculators and dictionaries are NOT allowed.\"},{\"question\":\"What main math areas does the sample question set cover?\",\"answer\":\"It covers functions (including symmetry, domain, composition, inverse), solving linear systems, equations/inequalities, and trigonometry with period/amplitude/phase shift, as well as logarithmic and exponential equations.\"}]","Precalculus Math Sample - Multiple Choice Practice Questions | PDF",1790670930]