[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467662-105":59,"doc-detail-467662-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","","Practice worksheet and answer key for solving quadratic equations. Problems include expressions with negative coefficients, factored forms, and equations set equal to constants. Learners are instructed to solve each item and write solutions as decimals rounded to two places. The provided key lists the corresponding numerical answers and shows step-by-step algebraic substitution and simplification for each quadratic 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/467662/",{"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/467662.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","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 format are the answers required in?","Question",{"text":112,"@type":113},"Write each solution as a decimal rounded to 2 places.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many quadratic problems are included in the worksheet?",{"text":117,"@type":113},"The worksheet lists problems numbered 1 through 10 (with an additional page showing 1–6).",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students find the correct solutions?",{"text":121,"@type":113},"The document includes an “Answer Key” section listing the answers for each problem.","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},467662,1792887047,{"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) -4x2 + 5x + 6 2) -15x2 = -(-30x-15)\u003Cbr>3) x(-8x-2) = -1 4) -15x2 + 13x-2\u003Cbr>5) -10x2 = -(4x + 6) 6) -6x2-5x + 25\u003Cbr>7) x(-16x-16) = 4 8) 15x2 = -(2x-1)\u003Cbr>9) 9x2-12x + 4 10) -1x2 + 1x + 12 |  |  |  | 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 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nSolving Quadratic Equations  \nName: Answer Key  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places. |  |  |  |  | Answers 1.  -0.75 , 2.00  2.  -1.00 , -1.00  3.  -0.50 , 0.25  4.  0.20 , 0.67  5.  -0.60 , 1.00  6.  -2.50 , 1.67  7.  -0.50 , -0.50  8.  0.20 , -0.33  9.  0.67 , 0.67  10.  -3.00 , 4.00  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) -4x2 + 5x + 6\u003Cbr>-5+- 52-4(-4)(6) \u003Cbr>-5 ± 11\u003Cbr>\u003Cbr>-8\u003Cbr> 3  x+ = -4\u003Cbr> -2 x- = -1\u003Cbr>3) x(-8x-2) = -1\u003Cbr>2+- -22-4(-8)(1) \u003Cbr>2 ± 6\u003Cbr>\u003Cbr>-16\u003Cbr> 1  x+ = -2\u003Cbr> -1 x- = -4\u003Cbr>5) -10x2 = -(4x + 6)\u003Cbr>-4+- 42-4(-10)(6) \u003Cbr>-4 ± 16\u003Cbr>\u003Cbr>-20\u003Cbr> 3  x+ = -5\u003Cbr>-1\u003Cbr>\u003Cbr>x- = -1\u003Cbr>7) x(-16x-16) = 4\u003Cbr>16+- -162-4(-16)(-4) \u003Cbr>16 ± 0\u003Cbr>\u003Cbr>-32\u003Cbr> 1  x+ = -2\u003Cbr> 1  x- = -2\u003Cbr>9) 9x2-12x + 4\u003Cbr>12+- -122-4(9)(4) \u003Cbr>12 ± 0\u003Cbr>\u003Cbr>18\u003Cbr> 2 x+ = 3\u003Cbr> 2 x- = 3 | 2) -15x2 = -(-30x-15)\u003Cbr>30+- -302-4(-15)(-15) \u003Cbr>30 ± 0\u003Cbr>\u003Cbr>-30\u003Cbr> 1  x+ = -1\u003Cbr> 1  x- = -1\u003Cbr>4) -15x2 + 13x-2\u003Cbr>-13+- 132-4(-15)(-2) \u003Cbr>-13 ± 7\u003Cbr>\u003Cbr>-30\u003Cbr> -1 x+ = -5\u003Cbr> -2 x- = -3\u003Cbr>6) -6x2-5x + 25\u003Cbr>5+- -52-4(-6)(25) \u003Cbr>5 ± 25\u003Cbr>\u003Cbr>-12\u003Cbr> 5  x+ = -2\u003Cbr> -5 x- = -3\u003Cbr>8) 15x2 = -(2x-1)\u003Cbr>-2+- 22-4(15)(-1) \u003Cbr>-2 ± 8\u003Cbr>\u003Cbr>30\u003Cbr> 1 x+ = 5\u003Cbr>-1\u003Cbr>\u003Cbr>x- = 3\u003Cbr>10) -1x2 + 1x + 12\u003Cbr>-1+- 12-4(-1)(12) \u003Cbr>-1 ± 7\u003Cbr>\u003Cbr>-2\u003Cbr> 3 x+ = -1\u003Cbr> -4 x- = -1 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nSolving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) -4x2 + 5x + 6 2) -15x2 = -(-30x-15)\u003Cbr>3) x(-8x-2) = -1 4) -15x2 + 13x-2\u003Cbr>5) -10x2 = -(4x + 6) 6) -6x2-5x + 25 | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. | Answers |\n| --- | --- | --- |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n|  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\n1-6 83 67 50 33 17 0","cbCaipWEAMAGfyuD","https://ap.wps.com/l/cbCaipWEAMAGfyuD","pdf",78078,"English","# Solving Quadratic Equations\n## Solve each problem\n## Answers (Answer Key)","[{\"question\":\"What format are the answers required in?\",\"answer\":\"Write each solution as a decimal rounded to 2 places.\"},{\"question\":\"How many quadratic problems are included in the worksheet?\",\"answer\":\"The worksheet lists problems numbered 1 through 10 (with an additional page showing 1–6).\"},{\"question\":\"Where can students find the correct solutions?\",\"answer\":\"The document includes an “Answer Key” section listing the answers for each problem.\"}]","Solving Quadratic Equations - Answer Key | PDF",1790773165]