[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467656-105":59,"doc-detail-467656-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","","Solving Quadratic Equations provides practice problems and a corresponding answer key. Students solve ten quadratic equation expressions using factoring or rewriting, then record solutions as decimals rounded to two places. The worksheet includes problems such as expanding binomials, handling negative signs, and using transformed forms like x(…)=… or -(-…)=… to find two roots for each equation. ",{"@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/467656/",{"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/467656.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How should answers be written for each quadratic equation?","Question",{"text":112,"@type":113},"Write each solution as a decimal rounded to 2 places.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of quadratic equations are included in the problems?",{"text":117,"@type":113},"The set includes equations in expanded form (ax^2+bx+c), factored/structured forms like x(15x+12)=3, and expressions involving negation such as -(-16x-6).",{"name":119,"@type":110,"acceptedAnswer":120},"Are there two solutions for each quadratic equation?",{"text":121,"@type":113},"Yes. The answer key lists two values for each problem, consistent with quadratic equations having two roots.","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},467656,1792855064,{"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":29,"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) -3x2-6x-3 2) 1x2 + 1x-20\u003Cbr>3) -8x2-4x + 4 4) x(15x + 12) = 3\u003Cbr>5) 4x2-17x + 15 6) -8x2 = -(-16x-6)\u003Cbr>7) -3x2 = -(9x + 12) 8) -8x2 + 8x + 6\u003Cbr>9) x(12x + 2) = 2 10) -12x2 = -(-20x-8) |  |  |  | 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 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nSolving Quadratic Equations  \nName: Answer Key  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places. |  |  |  |  | Answers\u003Cbr>1.  -1.00 , -1.00  2.  4.00 , -5.00  3.  -1.00 , 0.50  4.  0.20 , -1.00  5.  3.00 , 1.25  6.  -1.50 , -0.50  7.  -1.00 , 4.00  8.  -0.50 , 1.50  9.  0.33 , -0.50 \u003Cbr>10.  -1.00 , -0.67  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) -3x2-6x-3\u003Cbr>6+- -62-4(-3)(-3) \u003Cbr> 6 ± 0\u003Cbr>-6\u003Cbr> 1  x+ = -1\u003Cbr> 1  x- = -1\u003Cbr>3) -8x2-4x + 4\u003Cbr>4+- -42-4(-8)(4) \u003Cbr>4 ± 12\u003Cbr>\u003Cbr>-16\u003Cbr> 1  x+ = -1\u003Cbr> -1 x- = -2\u003Cbr>5) 4x2-17x + 15\u003Cbr>17+- -172-4(4)(15) \u003Cbr>17 ± 7\u003Cbr>\u003Cbr>8\u003Cbr>3 x+ = 1\u003Cbr> 5 x- = 4\u003Cbr>7) -3x2 = -(9x + 12)\u003Cbr>-9+- 92-4(-3)(12) \u003Cbr>-9 ± 15\u003Cbr>x+\u003Cbr>-6\u003Cbr> 1 = -1 -4\u003Cbr>\u003Cbr>x- = -1\u003Cbr>9) x(12x + 2) = 2\u003Cbr>-2+- 22-4(12)(-2) \u003Cbr>-2 ± 10\u003Cbr>\u003Cbr>24\u003Cbr> 1 x+ = 3\u003Cbr>-1 x- = 2 | 2) 1x2 + 1x-20\u003Cbr>-1+- 12-4(1)(-20) \u003Cbr>-1 ± 9\u003Cbr>\u003Cbr>2\u003Cbr>4 x+ = 1\u003Cbr> -5 x- = 1\u003Cbr>4) x(15x + 12) = 3\u003Cbr>-12+- 122-4(15)(-3) \u003Cbr>-12 ± 18\u003Cbr>\u003Cbr>30\u003Cbr>1\u003Cbr>\u003Cbr>x+ = 5\u003Cbr>-1 x- = 1\u003Cbr>6) -8x2 = -(-16x-6)\u003Cbr>16+- -162-4(-8)(-6) \u003Cbr>16 ± 8\u003Cbr>\u003Cbr>-16\u003Cbr> 3  x+ = -2\u003Cbr> 1  x- = -2\u003Cbr>8) -8x2 + 8x + 6\u003Cbr>-8+- 82-4(-8)(6) \u003Cbr>-8 ± 16\u003Cbr>\u003Cbr>-16\u003Cbr> 1  x+ = -2\u003Cbr> -3 x- = -2\u003Cbr>10) -12x2 = -(-20x-8)\u003Cbr>20+- -202-4(-12)(-8) \u003Cbr>20 ± 4\u003Cbr>\u003Cbr>-24\u003Cbr> 1  x+ = -1\u003Cbr> 2  x- = -3 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 4)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 4)[ 4](Math www.CommonCoreSheets.com 4)  \nSolving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) -3x2-6x-3 2) 1x2 + 1x-20\u003Cbr>3) -8x2-4x + 4 4) x(15x + 12) = 3\u003Cbr>5) 4x2-17x + 15 6) -8x2 = -(-16x-6) | 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)  \n4","cbCaihAMHcYy2obP","https://ap.wps.com/l/cbCaihAMHcYy2obP","pdf",77042,"English","# Solving Quadratic Equations\n## Practice Problems\n## Answer Key","[{\"question\":\"How should answers be written for each quadratic equation?\",\"answer\":\"Write each solution as a decimal rounded to 2 places.\"},{\"question\":\"What types of quadratic equations are included in the problems?\",\"answer\":\"The set includes equations in expanded form (ax^2+bx+c), factored/structured forms like x(15x+12)=3, and expressions involving negation such as -(-16x-6).\"},{\"question\":\"Are there two solutions for each quadratic equation?\",\"answer\":\"Yes. The answer key lists two values for each problem, consistent with quadratic equations having two roots.\"}]","Solving Quadratic Equations - Answer Key | PDF",1790773159]