[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467646-105":59,"doc-detail-467646-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","solving-quadratic-equations-answer-key","Solving Quadratic Equations - Answer Key","","Solve each given quadratic equation by factoring or rearranging into standard quadratic forms, then compute the real solutions and present them as decimal values rounded to 2 places. The document lists 10 polynomial problems, including equations with expanded quadratic expressions and products of linear factors. The Answer Key section provides the paired numerical solution results for each item, showing both roots where applicable, consistently formatted for quick checking.",{"@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/solving-quadratic-equations-answer-key/467646/",{"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/solving-quadratic-equations-answer-key/467646.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask you to do for each quadratic problem?","Question",{"text":112,"@type":113},"Solve each equation and write the answers as decimals rounded to 2 places.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the answers presented in the Answer Key?",{"text":117,"@type":113},"Each problem includes the solution value(s) for x, shown as decimal pairs where two roots exist.",{"name":119,"@type":110,"acceptedAnswer":120},"Do the problems include different equation styles?",{"text":121,"@type":113},"Yes. The set includes expanded quadratic expressions and equations involving factored forms or grouped terms.","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},467646,1792887406,{"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":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"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":39},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Solving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) 6x2 + 4x-16 2) 3x2-10x-25\u003Cbr>3) -5x2 = -(9x + 2) 4) -3x2 + 8x + 3\u003Cbr>5) x(-10x + 0) = -10 6) -16x2 + 16x-4\u003Cbr>7) x(-6x + 16) = 8 8) -20x2-13x-2\u003Cbr>9) 20x2 + 10x-10 10) x(25x-20) = -3 |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nSolving Quadratic Equations  \nName: Answer Key  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places. |  |  |  |  | Answers 1.  1.33 , -2.00  2.  5.00 , -1.67  3.  -0.20 , 2.00  4.  -0.33 , 3.00  5.  -1.00 , 1.00  6.  0.50 , 0.50  7.  0.67 , 2.00  8.  -0.40 , -0.25  9.  0.50 , -1.00  10.  0.60 , 0.20  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 6x2 + 4x-16\u003Cbr>-4+- 42-4(6)(-16) \u003Cbr>-4 ± 20\u003Cbr>\u003Cbr>12\u003Cbr>4 x+ = 3\u003Cbr> -2 x- = 1\u003Cbr>3) -5x2 = -(9x + 2)\u003Cbr>-9+- 92-4(-5)(2) \u003Cbr>-9 ± 11\u003Cbr>\u003Cbr>-10\u003Cbr> 1  x+ = -5\u003Cbr> -2 x- = -1\u003Cbr>5) x(-10x + 0) = -10\u003Cbr>-0+- 2-4(-10)(10) \u003Cbr>0 ± 20\u003Cbr>\u003Cbr>-20\u003Cbr> 1  x+ = -1\u003Cbr>-1\u003Cbr>\u003Cbr>x- = -1\u003Cbr>7) x(-6x + 16) = 8\u003Cbr>-16+- 162-4(-6)(-8) \u003Cbr>-16 ± 8\u003Cbr>\u003Cbr>-12\u003Cbr> -2 x+ = -3\u003Cbr> -2 x- = -1\u003Cbr>9) 20x2 + 10x-10\u003Cbr>-10+- 102-4(20)(-10) \u003Cbr>-10 ± 30\u003Cbr>\u003Cbr>40\u003Cbr> 1 x+ = 2\u003Cbr>-1 x- = 1 | 2) 3x2-10x-25\u003Cbr>10+- -102-4(3)(-25) \u003Cbr>10 ± 20\u003Cbr>\u003Cbr>6\u003Cbr> 5 x+ = 1\u003Cbr> -5 x- = 3\u003Cbr>4) -3x2 + 8x + 3\u003Cbr>-8+- 82-4(-3)(3) \u003Cbr>-8 ± 10\u003Cbr>\u003Cbr>-6\u003Cbr> 1  x+ = -3\u003Cbr>-3 x- = -1\u003Cbr>6) -16x2 + 16x-4\u003Cbr>-16+- 162-4(-16)(-4) \u003Cbr>-16 ± 0\u003Cbr>\u003Cbr>-32\u003Cbr> -1 x+ = -2\u003Cbr> -1 x- = -2\u003Cbr>8) -20x2-13x-2\u003Cbr>13+- -132-4(-20)(-2) \u003Cbr>13 ± 3\u003Cbr>\u003Cbr>-40\u003Cbr> 2  x+ = -5\u003Cbr> 1  x- = -4\u003Cbr>10) x(25x-20) = -3\u003Cbr>20+- -202-4(25)(3) \u003Cbr>20 ± 10\u003Cbr>\u003Cbr>50\u003Cbr>3 x+ = 5\u003Cbr> 1 x- = 5 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nSolving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) 6x2 + 4x-16 2) 3x2-10x-25\u003Cbr>3) -5x2 = -(9x + 2) 4) -3x2 + 8x + 3\u003Cbr>5) x(-10x + 0) = -10 6) -16x2 + 16x-4 | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n|  | 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10","cbCaioFbHacr1hBr","https://ap.wps.com/l/cbCaioFbHacr1hBr","pdf",79901,"English","# Solving Quadratic Equations\n## Problems\n## Answer Key","[{\"question\":\"What does the worksheet ask you to do for each quadratic problem?\",\"answer\":\"Solve each equation and write the answers as decimals rounded to 2 places.\"},{\"question\":\"How are the answers presented in the Answer Key?\",\"answer\":\"Each problem includes the solution value(s) for x, shown as decimal pairs where two roots exist.\"},{\"question\":\"Do the problems include different equation styles?\",\"answer\":\"Yes. The set includes expanded quadratic expressions and equations involving factored forms or grouped terms.\"}]","Solving Quadratic Equations - Answer Key | PDF",1790773147]