[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-464401-105":59,"doc-detail-464401-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","algebra-ii-form-k-north-carolina-test-of-algebra-ii-released-fall-2009","Algebra II Form K - North Carolina Test of Algebra II - Released Fall 2009","","North Carolina Test of Algebra II, Form K (Released Fall 2009) presents multiple-choice questions covering key Algebra II skills. Items address equivalent expressions and factoring, polynomial functions and zeros, matrix operations for intersections of lines, systems of equations, quadratic and circular equations, graph translations, profit modeling, linear best-fit regression from a data table, logarithm properties, complex numbers, and function composition. The test emphasizes algebraic manipulation, interpreting intercepts in context, and selecting correct models for real-world trends.",{"@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/algebra-ii-form-k-north-carolina-test-of-algebra-ii-released-fall-2009/464401/",{"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/algebra-ii-form-k-north-carolina-test-of-algebra-ii-released-fall-2009/464401.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What topics are covered in the Algebra II test form?","Question",{"text":112,"@type":113},"The questions cover polynomial functions and zeros, matrix equation setup, systems of equations, quadratic/circle equations, graph translations, modeling contexts (profit, population, production trends), logarithm rules, complex numbers, and function composition.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the questions typically assess student understanding?",{"text":117,"@type":113},"Most items are multiple-choice and require algebraic manipulation—rewriting expressions, selecting equivalent forms, solving equations and systems, and choosing correct models or interpretations such as x-intercepts meaning.",{"name":119,"@type":110,"acceptedAnswer":120},"What does “Released Fall 2009” indicate on the document?",{"text":121,"@type":113},"It identifies the release timing for North Carolina Test of Algebra II, Form K, under the NCDPI testing program documentation shown at the top of the page.","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},464401,1791062524,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"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":145},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","Name RELEASED FORM  \nAlgebra II Form K  \nNorth Carolina Test of Algebra II  \nK  \nPublic Schools of North Carolina [www.ncpublicschools.org](www.ncpublicschools.org)  \nState Board of Education Department of Public Instruction  \nDivision of Accountability Services/North Carolina Testing Program Raleigh, North Carolina 27699-6314  \n© 2009 All rights reserved. This document may not be reproduced by any means, in whole or in part, without prior written permission from the North Carolina Department of Public Instruction, Raleigh, North Carolina.  \nNCDPI North Carolina Test of Algebra II. Form K RELEASED Fall 2009  \n1. Which expression is equivalent to x~~2 ~~+x~~ 24~~ • xx2~~2 ~~~~ 2~~x~~7~~x~~ ~~~~ 2412 ~~ ? A ~~ ~~x~~ ~~~~ 4~~  \nB  2 ( x + 3)  \nx − 3  \nC  2 ( x + 3)   \n( x − 4) (x − 3)  \nD  2 ( x + 3)   \n( x + 4)(x − 3)  \n2. Which expression is equivalent to x~~6~~x~~33~~ ÷ x2~~ ~~+~~2~~x~~ 3~~ ?  \nA 3( x − 1)  \nB  x − 1  \n3 C ~~ ~~x~~ ~~~~ 1 ~~D ~~ 3 ~~(~~ ~~x~~1~~−~~ 1~~)  \n3. Multiply: 3 12x2 • 3 126x2 A 6x ( 3 7x ) B 6x ( 3 21x ) C 6x2 ( 3 42 ) D 6x2 ( 3 63 )  \n4. Which polynomial function has as zeros 3 and 4 + i?  \nA f (x) = x3 − 11x2 + 41x − 51 B f (x) = x3 − 5x2 − 7x + 51 C f (x) = x3 + 5x2 − 7x − 51 D f (x) = x3 + 11x2 + 41x + 51  \n5. If h(x) = 2x and g(x) = 3x2 + 1, what is h ( g (x) )?  \nA 6x2 + 1  \nB 6x2 + 2  \nC 12x2 + 1  \nD 12x2 + 2  \nNCDPI  \nNorth Carolina Test of Algebra II. Form K RELEASED  \nFall 2009  \n6. What are the zeros ofthe polynomial p (x) = x3 − 2x2 − 23x + 60?  \nA {—15,—2, 2}  \nB {—5, 3, 4}  \nC {2, 3, 10}  \nD {1, 2, 30}  \n7. In 1950, a U.S. population model was y = 151 •( 1.013)t −1950 million people, where t is the year. What did the model predict the U.S. population would be in the year 2000?  \nA 247 million  \nB 255 million  \nC 263 million  \nD 288 million  \n8. The following list shows the number of people (in millions) in the United States whose only means of getting to work was walking.  \n\n| Year\u003Cbr>(x) | Number\u003Cbr>( y) |\n| --- | --- |\n| 1940 | 7.6 |\n| 1950 | 7.0 |\n| 1960 | 6.4 |\n| 1970 | 5.7 |\n| 1980 | 5.4 |\n| 1990 | 4.5 |\n\nIf x = 0 for the year 1940, which equation is the best-fit linear model for the data?  \nA y = —16.5x + 125  \nB y = —0.06x + 7.6  \nC y = 0.06x + 10  \nD y = 7.6x − 0.06  \n9. Given: 5x − 2y + z = 0  \n2x − y + z = —3  \n3x + 4y = 18  \nWhat is the value of x in the solution of this system?  \nA —4  \nB —1  \nC —2  \nD 3  \nNCDPI North Carolina Test of Algebra II. Form K RELEASED Fall 2009  \n10. Which equation describes the circle with center (5,—1) and radius 7?  \nA ( x − 5)2 + ( y + 1 )2 = 7 B ( x − 5)2 + ( y + 1 )2 = 49 C ( x + 5)2 + ( y − 1 )2 = 7 D ( x + 5)2 + ( y − 1 )2 = 49  \n11. Solve for x: —~~12~~  2x + 6  + 2 = 0  \nA x = 5 or x = 1  \nB x = 5  \nC x = —5 or x = —1  \nD x = —1  \n12. Which circle has the smallest area? A x2 + y2 = 12  \nB ( x − 2 )2 + y2 = 8  \nC ( x + 1)2 + ( y + 3 )2 = 6  \nD ( x + 8)2 + ( y − 9 )2 = 3  \n13. Which matrix equation should be used to find the intersection of these two lines?  \n3x = 2 + 4y 2y = 6 − 5x  \nA ⎡3 —4⎤ ⎡x ⎤ ⎡2⎤⎢⎣2 5 ⎦⎥ ⎢⎣y⎦⎥ = ⎢⎣6 ⎦⎥  \nB ⎡⎢⎣32⎥ ⎡⎢⎣xy⎥ + ⎢ —45⎥ ⎢xy⎥ = ⎢26⎥  \nC ⎡3 —4⎤ ⎡ x ⎤ = ⎡2⎤⎢⎣5 2 ⎦⎥ ⎢⎣y⎦⎥ ⎢⎣6 ⎦⎥  \nD ⎡3⎤ ⎡x ⎤ + ⎡ —5 ⎤ ⎡ x ⎤ = ⎡2⎤⎢⎣2 ⎦⎥ ⎢⎣y⎦⎥ ⎢⎣ 4 ⎦⎥ ⎢⎣y⎦⎥ ⎢⎣6 ⎦⎥  \n14. The profit (P), in dollars, for a company is modeled by the function P (x) = —750x2 + 15,000x, where x is the number of items produced. For which values of x will the company lose money?  \nA x \u003C 2  \nB 2 \u003C x ≤ 10  \nC 10 ≤ x \u003C 20  \nD x > 20  \n15. In which direction is the graph of f(x) = x~~ ~~~~ b~~ translated when b increases?  \nA left  \nB right  \nC up  \nD down  \n16. A company that manufactures jeans estimates that the profit for selling a particular style is given by the equation:  \nP = —250x3 + 1,505x2 − 300, for 0 \u003C x \u003C 6  \nwhere P is profit in tens of thousands of dollars and x is the advertising expense in tens of thousands of dollars. What does an x-intercept mean in the context of the problem?  \nA the number of times the company spent zero dollars on advertisi","cbCaidf5oaBBPZ13","https://ap.wps.com/l/cbCaidf5oaBBPZ13","pdf",655442,21,"English","# Algebra II Questions (Form K)\n## Expression equivalence and factoring\n## Polynomials, zeros, and functions\n## Matrices and systems of equations\n## Quadratics, circles, and transformations\n## Modeling: profit, population, and trends\n## Logarithms, complex numbers, and function composition","[{\"question\":\"What topics are covered in the Algebra II test form?\",\"answer\":\"The questions cover polynomial functions and zeros, matrix equation setup, systems of equations, quadratic/circle equations, graph translations, modeling contexts (profit, population, production trends), logarithm rules, complex numbers, and function composition.\"},{\"question\":\"How do the questions typically assess student understanding?\",\"answer\":\"Most items are multiple-choice and require algebraic manipulation—rewriting expressions, selecting equivalent forms, solving equations and systems, and choosing correct models or interpretations such as x-intercepts meaning.\"},{\"question\":\"What does “Released Fall 2009” indicate on the document?\",\"answer\":\"It identifies the release timing for North Carolina Test of Algebra II, Form K, under the NCDPI testing program documentation shown at the top of the page.\"}]","Algebra II Form K - North Carolina Test of Algebra II - Released Fall 2009 | PDF",1790768133,53]