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The key provides the final numerical pairs for each question, organizing solutions across multiple items and answer slots.",{"@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/finding-variable-value-by-balancing-equations-answer-key-11/466609/",{"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/finding-variable-value-by-balancing-equations-answer-key-11/466609.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","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 do the problems ask students to find?","Question",{"text":112,"@type":113},"They ask for the values of variables 'a' and 'b' for each balancing-equation setup.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What relationship is given using angles?",{"text":117,"@type":113},"Angle XQR is stated as 180°, which guides how the expressions are balanced.",{"name":119,"@type":110,"acceptedAnswer":120},"Where are the correct solutions listed?",{"text":121,"@type":113},"The document includes an Answer Key section that lists the final numerical answers for each numbered item.","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},466609,1792993800,{"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},8796095461564,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Finding Variable Value by Balancing Equations  \nName:  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | \u003Cbr>\u003Cbr>42 + 0b\u003Cbr>L\u003Cbr>146-4a\u003Cbr>X\u003Cbr>114-3a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>\u003Cbr>M\u003Cbr>76 + 1b\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>\u003Cbr>M\u003Cbr>0a + 63\u003Cbr>Q R\u003Cbr>\u003Cbr>137-2b\u003Cbr>L\u003Cbr>\u003Cbr>2a + 57\u003Cbr>\u003Cbr>-9b + 150\u003Cbr>1a + 57\u003Cbr>L\u003Cbr>\u003Cbr>|  |  | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.    \u003Cbr>7.    \u003Cbr>8.     |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | \u003Cbr>\u003Cbr>-8b + L\u003Cbr> -3a + 162\u003Cbr>\u003Cbr>-2b + 92\u003Cbr> L\u003Cbr>\u003Cbr>106-2a\u003Cbr>X\u003Cbr>\u003Cbr>-6b + 156\u003Cbr>\u003Cbr>M\u003Cbr>78-3a\u003Cbr>Q\u003Cbr>\u003Cbr>\u003Cbr>57 + 3a\u003Cbr>\u003Cbr>\u003Cbr>4a + 22 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |  |  |  |  |  |  |  |\n| L\u003Cbr>|  |  |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \n102 66-4b  \n4b + 77  \nFinding Variable Value by Balancing Equations  \nName: Answer Key  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>4b + 22\u003Cbr>-12a + 162\u003Cbr>\u003Cbr>42 + 0b\u003Cbr>L\u003Cbr>\u003Cbr>146-4a\u003Cbr>X\u003Cbr>114-3a\u003Cbr>Q\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>M\u003Cbr>76 + 1b\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>\u003Cbr>4b + 77\u003Cbr>0a + 63\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-9b + 150\u003Cbr>1a + 57\u003Cbr>L\u003Cbr>\u003Cbr>| Answers 1.  4   9  2.  2   5  3.  7   2  4.  6   8  5.  5   8  6.  3   10  7.  8   9  8.  9   4  |\n| --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | -8a +\u003Cbr>\u003Cbr>182 -3a +\u003Cbr>162\u003Cbr>X\u003Cbr>162-10a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>2b + 84\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>Q\u003Cbr>\u003Cbr>M\u003Cbr>\u003Cbr>77-1a\u003Cbr>R\u003Cbr>-4b + 140\u003Cbr>\u003Cbr>\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>180-6b\u003Cbr>4a + 22 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |\n\n\n|  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-8 88 75 63 50 38 25 13 0  \n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nFinding Variable Value by Balancing Equations  \nName:  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>4b + 22\u003Cbr>-12a + 162\u003Cbr>\u003Cbr>42 + 0b\u003Cbr>L\u003Cbr>\u003Cbr>146-4a\u003Cbr>X\u003Cbr>114-3a\u003Cbr>Q\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>M\u003Cbr>76 + 1b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>137-2b\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>2a + 57 | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.     |\n| --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | -8a +\u003Cbr>\u003Cbr>182 -3a +\u003Cbr>162\u003Cbr>X\u003Cbr>162-10a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>2b + 84\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-6b + 156\u003Cbr>57 + 3a\u003Cbr>L\u003Cbr>\u003Cbr>| 2)\u003Cbr>4)\u003Cbr>6) |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\n1-6 83 67 50 33 17 0","cbCaicHnuserLEZv","https://ap.wps.com/l/cbCaicHnuserLEZv","pdf",46928,"English","# Find the value of a and b\n## Angle XQR is 180°\n## Solutions and answer key","[{\"question\":\"What do the problems ask students to find?\",\"answer\":\"They ask for the values of variables 'a' and 'b' for each balancing-equation setup.\"},{\"question\":\"What relationship is given using angles?\",\"answer\":\"Angle XQR is stated as 180°, which guides how the expressions are balanced.\"},{\"question\":\"Where are the correct solutions listed?\",\"answer\":\"The document includes an Answer Key section that lists the final numerical answers for each numbered item.\"}]","Finding Variable Value by Balancing Equations - Answer Key - 11 | PDF",1790771577]