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Problems cover solving inequalities and equations (including polynomial forms), finding function domains and specified function values, performing complex-number operations, solving for maximum rectangle enclosure area, and working with line equations and graphing. Additional tasks include asymptotes, intercepts, vertical/horizontal behavior, exponential and exact-form solutions, and trigonometry with inverse functions and interval constraints.",{"@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/honors-pre-calculus-prerequisite-skills-test-no-calculator/453001/",{"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/honors-pre-calculus-prerequisite-skills-test-no-calculator/453001.png","ImageObject",300,407,{"name":92,"@type":93},"A glass of water","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-19","2026-09-30",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},"What is the recommended time and tool policy for the test?","Question",{"text":112,"@type":113},"The test recommends 1 to 1.5 hours and explicitly states “NO Calculator!!!”","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of math skills are included in the honors pre-calculus prerequisite test?",{"text":117,"@type":113},"It includes inequalities, polynomial and other equation solving, domain finding, complex-number operations, graphing with asymptotes and intercepts, exponentials, and trigonometry (including inverse functions).",{"name":119,"@type":110,"acceptedAnswer":120},"Are exact answers required for specific problems?",{"text":121,"@type":113},"Yes. Several questions explicitly require exact answers, including the exponential function through given points and certain equation solutions.","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},453001,1790763911,{"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":29,"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":144},962090760832,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","| HONORS PRECALCULUS PREREQUISITE SKILLS TEST\u003Cbr>NO Calculator!!! Recommended Time: 1 – 1.5 hours! | Name  Date  |\n| --- | --- |\n\n1. Solve the inequality: 􀀐3 􀁤 ~~ ~~2x3􀀐~~ ~~5 􀀟 5  \n2. Solve for x: x~~ ~~~~ ~~1 􀀐 ~~ ~~x2x􀀎1 􀀠 1  \n3. Find the domain of x in the expression:  7x 􀀎12  \n4. f (x) 􀀠 5x 􀀐 x2 , find f~~ ~~(5~~ ~~􀀎~~ ~~hh)~~ ~~􀀐~~ ~~f~~ ~~(5)  \n1  \n2  \n3  \n4  \n\n| .\u003Cbr>. |\n| --- |\n| . |\n| . |\n\nMrs. Nguyen – page 1 of 6 Honors Pre-Calculus  \n5. Perform the operation and write the result in standard form: 5.   \ni 2i  \n~~ ~~ 􀀎 ~~ ~~  \n3 􀀐 2i 3 􀀎 8i  \n6. Find all solutions ofthe equation: x2 􀀐 3 􀀠 2x 6.   \n7. Find all solutions ofthe equation: x4 􀀐 5x2 􀀎 6 􀀠 0 7   \n8. You have 100 feet of fencing to use for three sides of a rectangular 8.  fence, with your house enclosing the fourth side. The area of the  \nenclosure is given by A 􀀠 􀀐2x2 􀀎100x . Graph the equation to find  \nthe maximum area possible, and how long each side needs to be to  \nobtain that area.  \nMrs. Nguyen – page 2 of 6 Honors Pre-Calculus  \n9. Write equations of the lines through (3, -2) (a) parallel and  \n(b) perpendicular to 5x 􀀐 4y 􀀠 8 .  \n10. Graph the function: g (t ) 􀀠 3cos(t 􀀎 􀁓 )  \n11. Use long division to divide: xx423x2x2~~ ~~􀀎􀀎13  \n12. Solve for x: x3 􀀐12x2 􀀎 40x 􀀐 24 􀀠 0  \nMrs. Nguyen – page 3 of 6  \n9a.   \n9b.   \n11.   \n12.   \nHonors Pre-Calculus  \n13. Sketch the graph of the function by finding vertical and horizontal asymptotes, x-and y-intercepts, domain and range, and symmetry: f (x) 􀀠 x2~~ ~~x􀀎􀀎x~~ ~~6 .  \n14. Find the exponential function y 􀀠 aebx that passes through (0, 2) and (4, 3) . Exact answer is required.  \n15. Solve for x: 31􀀐x 􀀠 5x . Exact answer is required.  \n16. The angle of depression from the top of a building to the base of a statue 40 feet from the base of the building is 60􀁱 . Determine the height of the building.  \nMrs. Nguyen – page 4 of 6 Honors Pre-Calculus  \n17. You are given a point (-8, 6) on the terminal side of an angle 􀁔 . 17. sin 􀁔 =   \nSketch the angle and find its six trigonometric functions.  \ncos 􀁔 =   tan 􀁔 =    \n~~ ~~ csc 􀁔 =    \nsec 􀁔 =   cot 􀁔 =    \n18. Find all solutions of 2sin 2x 􀀐 2 􀀠 0 in the interval 􀀾0, 2􀁓 􀀌 . 18.   \n19. Use inverse functions where needed to find all solutions of 19.  tan 2 x 􀀎 tan x 􀀐12 􀀠 0 in the interval 􀀾0, 2􀁓 􀀌 . Exact answers  \nare required.  \n20. Write an equation for the graph. 20.   \nMrs. Nguyen – page 5 of 6 Honors Pre-Calculus  \n21.  \n22.  \n23.  \n24.  \n25.  \nFind arcsin 􀂪􀂫􀂬 sin 􀂩􀂨􀂧 ~~ ~~2􀁓3~~ ~~ 􀂷􀂹􀂸 􀂺􀂼􀂻 .  \nWrite the equation of the conic in standard form:  \n􀀐16x2 􀀎 36y 2 􀀎 96x 􀀐144y 􀀐16 􀀠 0  \nFind the points of intersection:  \nx2 􀀎 y2 􀀐18x 􀀎 24y 􀀎 200 􀀠 0 and 4x 􀀎 3y 􀀠 0  \nCondense the expression: 3ln5 􀀐 (ln15 􀀐 ln3)  \nEvaluate the expression: log 3 ~~ ~~19  \n21.   \n22.   \n23.   \n24.   \n25.   \nMrs. Nguyen – page 6 of 6 Honors Pre-Calculus","cbCaiuS9ltrnNquj","https://ap.wps.com/l/cbCaiuS9ltrnNquj","pdf",37038,"English","# Solve the inequality\n# Solve for x (multiple equations)\n# Find domain and function evaluation\n# Complex-number operations\n# Solve polynomial equations\n# Optimization with fencing (maximum area)\n# Lines: parallel and perpendicular\n# Graph the function (trigonometric)\n# Long division\n# Sketch graphs: asymptotes, intercepts, domain/range, symmetry\n# Exponential function with exact answers\n# Angle of depression (trigonometry)\n# Trigonometric functions from a terminal point\n# Solve trigonometric equations in an interval\n# Use inverse functions to solve trig equations\n# Arcsin and conic standard form\n# Condense logarithmic expressions\n# Evaluate logarithm expression","[{\"question\":\"What is the recommended time and tool policy for the test?\",\"answer\":\"The test recommends 1 to 1.5 hours and explicitly states “NO Calculator!!!”\"},{\"question\":\"What types of math skills are included in the honors pre-calculus prerequisite test?\",\"answer\":\"It includes inequalities, polynomial and other equation solving, domain finding, complex-number operations, graphing with asymptotes and intercepts, exponentials, and trigonometry (including inverse functions).\"},{\"question\":\"Are exact answers required for specific problems?\",\"answer\":\"Yes. Several questions explicitly require exact answers, including the exponential function through given points and certain equation solutions.\"}]","Honors Pre-Calculus Prerequisite Skills Test - No Calculator | PDF",1790738029,15]