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Each item requires answers as decimals rounded to 2 places. The worksheet includes problem sets plus an answer key listing solutions for multiple numbered questions, supporting step-by-step checking and accurate computation of real roots.",{"@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-solve-each-problem/467666/",{"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-solve-each-problem/467666.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":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What format should answers use in this worksheet?","Question",{"text":112,"@type":113},"Write each answer as a decimal rounded to 2 places.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of quadratic equations are included?",{"text":117,"@type":113},"Problems include equations in standard expanded form and equations written with factored products, such as x(6x + 12) = -6.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can learners verify their work?",{"text":121,"@type":113},"An answer key is provided listing solutions for each numbered 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},467666,1792855061,{"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":24,"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 + 13x-10 2) x(6x + 12) = -6\u003Cbr>3) x(-3x + 3) = -6 4) 10x2 = -(-29x + 10)\u003Cbr>5) 15x2 = -(4x-4) 6) x(-4x + 20) = 25\u003Cbr>7) -4x2 + 13x-10 8) 16x2 + 0x-16\u003Cbr>9) 2x2 = -(-10x + 8) 10) 20x2 + 31x + 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 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \nSolving Quadratic Equations  \nName: Answer Key  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places. |  |  |  |  |  | Answers 1.  0.67 , -5.00  2.  -1.00 , -1.00  3.  -1.00 , 2.00  4.  2.50 , 0.40  5.  0.40 , -0.67  6.  2.50 , 2.50  7.  1.25 , 2.00  8.  1.00 , -1.00  9.  4.00 , 1.00  10.  -0.75 , -0.80  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) 3x2 + 13x-10\u003Cbr>-13+- 132-4(3)(-10) \u003Cbr>-13 ± 17\u003Cbr>\u003Cbr>6\u003Cbr> 2 x+ = 3\u003Cbr> -5 x- = 1\u003Cbr>3) x(-3x + 3) = -6\u003Cbr>-3+- 32-4(-3)(6) \u003Cbr>-3 ± 9\u003Cbr>\u003Cbr>-6\u003Cbr> 1  x+ = -1\u003Cbr> -2 x- = -1\u003Cbr>5) 15x2 = -(4x-4)\u003Cbr>-4+- 42-4(15)(-4) \u003Cbr>-4 ± 16 |  | 2) x(6x + 12) = -6\u003Cbr>-12+- 122-4(6)(6) \u003Cbr>-12 ± 0\u003Cbr>\u003Cbr>12\u003Cbr>-1 x+ = 1\u003Cbr>-1 x- = 1\u003Cbr>4) 10x2 = -(-29x + 10)\u003Cbr>29+- -292-4(10)(10) \u003Cbr>29 ± 21\u003Cbr>\u003Cbr>20\u003Cbr> 5 x+ = 2\u003Cbr> 2 x- = 5\u003Cbr>6) x(-4x + 20) = 25\u003Cbr>-20+- 202-4(-4)(-25) \u003Cbr>-20 ± 0 -8\u003Cbr> -5 x+ = -2\u003Cbr> -5 x- = -2\u003Cbr>8) 16x2 + 0x-16\u003Cbr>-0+- 2-4(16)(-16) \u003Cbr>0 ± 32\u003Cbr>\u003Cbr>32\u003Cbr>1 x+ = 1\u003Cbr>-1\u003Cbr>\u003Cbr>x- = 1\u003Cbr>10) 20x2 + 31x + 12\u003Cbr>-31+- 312-4(20)(12) \u003Cbr>-31 ± 1\u003Cbr>\u003Cbr>40\u003Cbr>-3 x+ = 4\u003Cbr>-4\u003Cbr>\u003Cbr>x- = 5 |  |  |  |  |  |  |  |  |  |  |  |\n| x+ | 30\u003Cbr> 2 = 5  -2 |  |  |  |  |  |  |  |  |  |  |  |  |\n| x- = 3\u003Cbr>7) -4x2 + 13x-10\u003Cbr>-13+- 132-4(-4)(-10) \u003Cbr>-13 ± 3\u003Cbr>\u003Cbr>-8\u003Cbr> -5 x+ = -4\u003Cbr> -2 x- = -1\u003Cbr>9) 2x2 = -(-10x + 8)\u003Cbr>10+- -102-4(2)(8) \u003Cbr>10 ± 6\u003Cbr>\u003Cbr>4\u003Cbr>4 x+ = 1\u003Cbr>1 x- = 1 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \nSolving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) 3x2 + 13x-10 2) x(6x + 12) = -6\u003Cbr>3) x(-3x + 3) = -6 4) 10x2 = -(-29x + 10)\u003Cbr>5) 15x2 = -(4x-4) 6) x(-4x + 20) = 25 | 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)  \n8","cbCaicjtrfbX45M1","https://ap.wps.com/l/cbCaicjtrfbX45M1","pdf",76243,"English","# Solve each problem\n## Answer key","[{\"question\":\"What format should answers use in this worksheet?\",\"answer\":\"Write each answer as a decimal rounded to 2 places.\"},{\"question\":\"What types of quadratic equations are included?\",\"answer\":\"Problems include equations in standard expanded form and equations written with factored products, such as x(6x + 12) = -6.\"},{\"question\":\"Where can learners verify their work?\",\"answer\":\"An answer key is provided listing solutions for each numbered problem.\"}]","Solving Quadratic Equations - Solve each problem | PDF",1790773171]