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Each item instructs solving a quadratic equation and expressing roots as decimals rounded to two places. The key lists the positive and negative solutions for each equation, covering forms such as expanded products, equations with negative coefficients, and expressions inside parentheses. It also includes the corresponding worked quadratic-root steps for selected problems.",{"@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/464352/",{"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/464352.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the answer key require for each solution?","Question",{"text":112,"@type":113},"Each answer must be written as a decimal rounded to 2 places, listing the solution pair when applicable.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of quadratic equations are included?",{"text":117,"@type":113},"The problems cover factored forms like x(…) = … as well as expanded equations with negative coefficients and parentheses.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the solutions presented in the answer key?",{"text":121,"@type":113},"For each numbered problem, the key provides the two decimal roots (positive and negative) and shows intermediate work for many items.","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},464352,1790768073,{"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":81,"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":129,"read_time":39},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Solving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) x(1x + 3) = 4 2) -3x2 = -(10x + 25)\u003Cbr>3) x(5x-30) = -25 4) -5x2 = -(-29x-20)\u003Cbr>5) x(15x + 17) = 4 6) x(8x-4) = 12\u003Cbr>7) 12x2 + 2x-4 8) -4x2-8x-4\u003Cbr>9) x(16x-36) = -20 10) 4x2 + 8x-5 |  |  |  | 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 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nSolving Quadratic Equations  \nName: Answer Key  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places. |  |  |  |  | Answers 1.  1.00 , -4.00  2.  -1.67 , 5.00  3.  5.00 , 1.00  4.  -5.00 , -0.80  5.  0.20 , -1.33  6.  1.50 , -1.00  7.  0.50 , -0.67  8.  -1.00 , -1.00  9.  1.25 , 1.00  10.  0.50 , -2.50  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) x(1x + 3) = 4\u003Cbr>-3+- 32-4(1)(-4) \u003Cbr>-3 ± 5\u003Cbr>\u003Cbr>2\u003Cbr>1 x+ = 1\u003Cbr> -4 x- = 1\u003Cbr>3) x(5x-30) = -25\u003Cbr>30+- -302-4(5)(25) \u003Cbr>30 ± 20\u003Cbr>\u003Cbr>10\u003Cbr> 5 x+ = 1\u003Cbr>1 x- = 1\u003Cbr>5) x(15x + 17) = 4\u003Cbr>-17+- 172-4(15)(-4) \u003Cbr>-17 ± 23\u003Cbr>x+\u003Cbr>30  1 = 5 -4\u003Cbr>\u003Cbr>x- = 3\u003Cbr>7) 12x2 + 2x-4\u003Cbr>-2+- 22-4(12)(-4) \u003Cbr>-2 ± 14\u003Cbr>\u003Cbr>24\u003Cbr> 1 x+ = 2\u003Cbr> -2 x- = 3\u003Cbr>9) x(16x-36) = -20\u003Cbr>36+- -362-4(16)(20) \u003Cbr>36 ± 4\u003Cbr>\u003Cbr>32\u003Cbr> 5 x+ = 4\u003Cbr>1 x- = 1 | 2) -3x2 = -(10x + 25)\u003Cbr>-10+- 102-4(-3)(25) \u003Cbr>-10 ± 20\u003Cbr>\u003Cbr>-6\u003Cbr> 5  x+ = -3\u003Cbr> -5 x- = -1\u003Cbr>4) -5x2 = -(-29x-20)\u003Cbr>29+- -292-4(-5)(-20) \u003Cbr>29 ± 21\u003Cbr>\u003Cbr>-10\u003Cbr> 5 x+ = -1\u003Cbr> 4  x- = -5\u003Cbr>6) x(8x-4) = 12\u003Cbr>4+- -42-4(8)(-12) \u003Cbr>4 ± 20\u003Cbr>\u003Cbr>16\u003Cbr> 3 x+ = 2\u003Cbr>-1 x- = 1\u003Cbr>8) -4x2-8x-4\u003Cbr>8+- -82-4(-4)(-4) \u003Cbr> 8 ± 0\u003Cbr>-8\u003Cbr> 1  x+ = -1\u003Cbr> 1  x- = -1\u003Cbr>10) 4x2 + 8x-5\u003Cbr>-8+- 82-4(4)(-5) \u003Cbr>-8 ± 12\u003Cbr>\u003Cbr>8\u003Cbr> 1 x+ = 2\u003Cbr> -5 x- = 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nSolving Quadratic Equations  \nName:  \n\n| Solve each problem. Write your answer as a decimal rounded to 2 places.\u003Cbr>1) x(1x + 3) = 4 2) -3x2 = -(10x + 25)\u003Cbr>3) x(5x-30) = -25 4) -5x2 = -(-29x-20)\u003Cbr>5) x(15x + 17) = 4 6) x(8x-4) = 12 | 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)  \n1","cbCaicx8lva1jNso","https://ap.wps.com/l/cbCaicx8lva1jNso","pdf",78014,"English","# Problems\n## Solution answers","[{\"question\":\"What does the answer key require for each solution?\",\"answer\":\"Each answer must be written as a decimal rounded to 2 places, listing the solution pair when applicable.\"},{\"question\":\"What types of quadratic equations are included?\",\"answer\":\"The problems cover factored forms like x(…) = … as well as expanded equations with negative coefficients and parentheses.\"},{\"question\":\"How are the solutions presented in the answer key?\",\"answer\":\"For each numbered problem, the key provides the two decimal roots (positive and negative) and shows intermediate work for many items.\"}]","Solving Quadratic Equations - Answer Key | PDF"]