[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-451173-105":59,"doc-detail-451173-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","algebra-2-final-exam-study-guide","Algebra 2 Final Exam Study Guide","","Algebra 2 Final Exam Study Guide provides practice-focused multiple-choice problems covering equations and inequalities involving absolute value, systems of linear equations with finite, inconsistent, or infinitely many solutions, and polynomial operations including subtraction, multiplication, and factoring. It also emphasizes graphing solution sets for absolute value inequalities and applying geometric area-perimeter relationships. Complex numbers appear through evaluation of expressions, plotting points on the complex plane, and computing sums, differences, and products.",{"@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/algebra-2-final-exam-study-guide/451173/",{"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-2-final-exam-study-guide/451173.png","ImageObject",300,407,{"name":92,"@type":93},"Jake","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-21","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What types of problems are included in this Algebra 2 final exam study guide?","Question",{"text":113,"@type":114},"The guide focuses on absolute value equations/inequalities, systems of linear equations, polynomial operations (including multiplication and subtraction), and complex number expressions.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How does the guide test understanding of systems of equations?",{"text":118,"@type":114},"It asks for solution verification, including cases with a single solution, no solution (inconsistent), and infinitely many solutions.",{"name":120,"@type":111,"acceptedAnswer":121},"What complex-number skills are practiced?",{"text":122,"@type":114},"It evaluates expressions using i, identifies points that represent given complex numbers on the complex plane, and performs operations like addition, subtraction, and multiplication.","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},451173,1790816366,{"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":56,"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},962084928904,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name:   Class:   Date:   ID: A  \nAlgebra 2 Final Exam Study Guide  \nMultiple Choice  \nIdentify the choice that best completes the statement or answers the question.  \n  1. Solve |6y − 4 | = 18.  \na . x = −2 13~~ ~~ , x = 3 23~~ ~~ c . x = 2 13~~ ~~ , x = −3 23  \nb. x = −3 23~~ ~~ , x = 3 23~~ ~~ d. x = 2 13~~ ~~ , x = 3 23   2. Solve 2 |2x + 4 | − 1 = 7.  \na . x = 0 c . x = 0, x = 1  \nb. x = –4, x = 0 d. x = –4, x = 1   3. Solve |3n − 24| ≤ 9.  \na . n ≤ 5 or n ≤ 11 c . n ≤ 5 or n ≥ 11  \nb. n ≤ 11 d. 5 ≤ n ≤ 11  \n  4. Graph the solution for |6x − 9 | > 15.  \na . c .  \nb.  d.    5. Solve 2 |x − 3 | = − 1.  \na . x = −3 12~~ ~~ , 2 12~~ ~~ c . x = −3 12~~ ~~ , −2 12  \nb. x = 2 12~~ ~~ , 3 12~~ ~~ [d. no](d. no) solution  \n  6. Solve the system of equations.  \n2x + 5y = 26  \n6x − y = 14  \na . (−2, 6) c . infinite number of solutions  \nb. (3, 4) [d. no](d. no) solution  \n  7. Solve the system of equations.  \n3x − 2y = 24  \n−9x + 6y = − 18  \na . (10, 3) c . infinite number of solutions  \nb. (2, −9) [d. no](d. no) solution  \nName:   ID: A  \n  8. Solve the system of equations.  \nx + 3y − 2z = −9  \n6x − 4y + 3z = 29  \n2x + 2y + z = 13  \na . (2, 1, 7) c . infinite number of solutions  \nb. (3, 2, 9) [d. no](d. no) solution   9. Which polynomial represents (x3 + 4x2 − 7) − ( 5x3 − 2x2 + 2x − 16) _?  \n3 2 3 2  \na . 6x + 2x − 2x + 9 c . −4x + 2x − 2x + 9  \nb. −4x3 + 6x2 + 9 d. −4x3 + 6x2 − 2x + 9   10. Which polynomial represents (2x − 5)( 6x2 + 8) ?  \n2 3  \na . − 18x + 16x − 40 c . 12x − 40  \nb. 42x2 + 16x − 40 d. 12x3 − 30x2 + 16x − 40   11. ( 9x2 − 4x + 8) ( 3x2 − 6x + 2)  \n4 3 2 4 3 2  \na . 27x − 66x + 66x − 56x + 16 c . 27x − 66x + 42x − 64x + 16  \nb. 27x2 + 24x + 16 d. 6x2 − 10x + 10   12. (x2 − 6x − 16) ÷ (x + 2)  \na . x − 3 c . x − 8  \nb. x − 4 d. x + 8  \n13. 3x − 2  9x − 3x + 16x − 36x + 16   \n4 3 2  \n____  \n4 3 2 3 2  \na . 3x + x + 6x − 8x c . 3x − x + 6x − 8  \nb. 3x3 + x 2 + 6x − 8 d. 3x3 + x 2 + 6x + 3x3~~ ~~2  \n  14. Which polynomial represents (x − 5) (x + 4)(x2 − 1) ?  \n4 3 2 4 2  \na . x − x − 22x − x + 20 c . x − 22x + x + 20  \nb. x 4 + 20 d. x 4 − x 3 − 21x2 + x + 20  \n15. 2x + 4  12x + 30x − 6x + 36x + 8   \n4 3 2  \n____  \n3 2 3 2  \na . 6x + 3x − 9x + 36 c . 6x + 3x − 9x − 100  \nb. 6x4 + 3x3 − 9x2 + 36x − 136 d. 6x3 + 3x2 − 9x + 36 − 21x34   16. 16x2 − 121 =  \na . (4x + 11) (4x + 11) c . (4x + 11) 2  \nb. (4x + 11) (4x − 11) d. (4x − 11) 2  \nName:   ID: A  \n  17. 4x2 + 20x + 25 =  \na . (4x + 25) 2 c . (2x + 5) 2  \nb. (2x + 5) (2x − 5) d. (2x + 10) 2   18. x 3 + 27 =  \na . (x + 3)(x2 − 3x + 9) c . (x + 3) 3  \nb. (x − 3)(x2 + 3x + 9) d. (x + 3) 2 (x − 3)   19. 27x3 − 64 =  \na . (3x − 4)( 9x2 + 12x + 16) c . (3x − 4) (3x + 4) 2  \nb. (3x + 4)( 9x2 − 12x + 16) d. (3x − 4) 3  \n  20. A square has an area of 16x2 + 24x + 9. What is the length of a side of the square?  \na . (4x + 3) 2 c . (8x + 3)  \nb. (4x − 3) d. (4x + 3)   21. If i =  − 1 , then  −25  + 3 =  \na . 3 + 5 i  c . 3 + 5i  \nb. −5 d. 3 − 5i   22. If i =  − 1 , which point shows the location of 6 + 5i on the plane?  \na . point A c . point C  \nb. point B d. point D  \nName:   ID: A  \n  23. If i =  − 1 , which point shows the location of –8 – 2i on the plane?  \na . point A c . point C  \nb. point B d. point D   24. (−4 + 3i) − (−6 − i) =  \na . 2 + 2i c . − 10 + 2i  \nb. 2 + 4i d. − 10 + 4i   25. (−7 + 8i) + (−1 − 3i) =  \na . −8 + 5i c . −8 + 1 1i  \nb. −6 + 5i d. −6 + 1 1i   26. If i =  − 1 , then (12i) (9i) =  \na . 108i c . − 108  \nb. 108  − 1  d. 108 ____ 27. What is an equivalent form of 4~~ ~~~~ ~~2i~~ ~~ ?  \na . 3 c .  2 + i 3  \nb. 2 − i d. ~~ ~~6~~ ~~−5~~ ~~3i   28. If i =  − 1 , then 62~~ ~~++~~ ~~46~~ ~~ =  \na . 3 + 2i c .  1 + 4i 3  \nb. 3 − 4i d. ~~ ~~5~~ ~~~~ ~~i  \nName:   ID: A  \n2  \nx − x − 12  \n____ 29. Which is a simplified form of  x 2 − 16  ?  \na .  \nb.  \nx + 3  \nx + 4  \nx + 3  \nx − 4  \nc .  \nd.  \nx + 3  \n4  \n3  \n4  \n____  \n____  \n____  \n____  \n2x − 10  \n30. ~~ ~~ • 2  \nx − 3x − 10 16  \na . ~~ ~~(x + 2) 2  \nb. ~~ ~~4~~ ~~~~ ~~−+~~ ~~22~~ ~~)  \n2 x − 4  \n8x − 16  \n","cbCaifX3axpC3fdr","https://ap.wps.com/l/cbCaifX3axpC3fdr","pdf",726397,"English","# Multiple Choice Practice\n## Absolute Value Equations and Inequalities\n## Systems of Linear Equations\n## Polynomial Operations and Factoring\n## Geometry with Area\n## Complex Numbers and the Complex Plane","[{\"question\":\"What types of problems are included in this Algebra 2 final exam study guide?\",\"answer\":\"The guide focuses on absolute value equations/inequalities, systems of linear equations, polynomial operations (including multiplication and subtraction), and complex number expressions.\"},{\"question\":\"How does the guide test understanding of systems of equations?\",\"answer\":\"It asks for solution verification, including cases with a single solution, no solution (inconsistent), and infinitely many solutions.\"},{\"question\":\"What complex-number skills are practiced?\",\"answer\":\"It evaluates expressions using i, identifies points that represent given complex numbers on the complex plane, and performs operations like addition, subtraction, and multiplication.\"}]","Algebra 2 Final Exam Study Guide | PDF",1790734532,48]