[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-466622-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-466622-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","finding-variable-value-by-balancing-equations-answer-key-466622","Finding Variable Value by Balancing Equations - Answer Key","","Worksheet answer key for determining the values of variables a and b using balancing equations. The tasks reference an angle labeled XQR with a measure of 180° and set up multiple linear expressions combining a and b. Each problem then provides corresponding final values for the selectable answer choices, including sets labeled 1) through 8), to verify students’ solutions to the balancing-equation angle problems.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-variable-value-by-balancing-equations-answer-key-466622/466622/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-variable-value-by-balancing-equations-answer-key-466622/466622.png","ImageObject",300,407,{"name":42,"@type":43},"Liam","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What are the unknowns in this worksheet problems?","Question",{"text":63,"@type":64},"The problems ask students to find the values of variables a and b.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How does the worksheet use geometry information?",{"text":68,"@type":64},"Each problem references Angle XQR being 180° while setting up expressions that balance.",{"name":70,"@type":61,"acceptedAnswer":71},"Where can the correct results be checked?",{"text":72,"@type":64},"The document provides an Answer Key listing the correct selections for each numbered item.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},466622,1792845233,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},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°. |  |  | X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>50-2b\u003Cbr>130 + 1a\u003Cbr>\u003Cbr>-9b + 71\u003Cbr>L\u003Cbr>\u003Cbr>106 + 5a\u003Cbr>X\u003Cbr>\u003Cbr>-1b + 78\u003Cbr>108 + 0a\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>133-2a\u003Cbr>\u003Cbr>75-5b\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>1b + 37\u003Cbr>-7a + 203\u003Cbr>\u003Cbr>107-6b\u003Cbr>L\u003Cbr>\u003Cbr>-2a + 153 |  |  | 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) | X\u003Cbr>102 + 0a\u003Cbr> M\u003Cbr>Q\u003Cbr>\u003Cbr>74 + 1b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>M\u003Cbr>X Q\u003Cbr>\u003Cbr>138-4b\u003Cbr>0a + 50\u003Cbr>R\u003Cbr>\u003Cbr> 148\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>3a + 26\u003Cbr>X\u003Cbr>\u003Cbr>73 \u003Cbr>91-6a\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>121-7b\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>-3a + 100 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 |  | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \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>50-2b\u003Cbr>130 + 1a\u003Cbr>\u003Cbr>-9b + 71\u003Cbr>L\u003Cbr>\u003Cbr>106 + 5a\u003Cbr>X\u003Cbr>\u003Cbr>-1b + 78\u003Cbr>108 + 0a\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>133-2a\u003Cbr>\u003Cbr>75-5b\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>1b + 37\u003Cbr>-7a + 203\u003Cbr>\u003Cbr>107-6b\u003Cbr>L\u003Cbr>\u003Cbr>-2a + 153 |  |  | Answers 1.  3   4  2.  6   3  3.  8   2  4.  5   6  5.  4   10  6.  9   2  7.  9   2  8.  10   10  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | X\u003Cbr>102 + 0a\u003Cbr> M\u003Cbr>Q\u003Cbr>\u003Cbr>74 + 1b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>M\u003Cbr>X Q\u003Cbr>\u003Cbr>138-4b\u003Cbr>0a + 50\u003Cbr>R\u003Cbr>\u003Cbr> 148\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>3a + 26\u003Cbr>X\u003Cbr>\u003Cbr>73 \u003Cbr>91-6a\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>121-7b\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>-3a + 100 | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8) |  |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 |  | 63 | 50 | 38 | 25 | 13 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \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>50-2b\u003Cbr>130 + 1a\u003Cbr>\u003Cbr>-9b + 71\u003Cbr>L\u003Cbr>\u003Cbr>106 + 5a\u003Cbr>X\u003Cbr>\u003Cbr>-1b + 78\u003Cbr>108 + 0a\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>79-7b\u003Cbr> L\u003Cbr>\u003Cbr>5a + 70 | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.     |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | X\u003Cbr>102 + 0a\u003Cbr> M\u003Cbr>Q\u003Cbr>\u003Cbr>74 + 1b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>M\u003Cbr>X Q\u003Cbr>\u003Cbr>138-4b\u003Cbr>0a + 50\u003Cbr>R\u003Cbr>\u003Cbr> 148\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>3a + 26\u003Cbr>\u003Cbr>123-1b\u003Cbr>3a + 55\u003Cbr>L\u003Cbr>\u003Cbr>| 2)\u003Cbr>4)\u003Cbr>6) |  |  |  |  |  |  |  |\n| 1-6 |  |  |  | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n8","cbCaibcPUHqB5uFR","https://ap.wps.com/l/cbCaibcPUHqB5uFR","pdf",46932,"English","# Find the value of 'a' and 'b'\n## Angle XQR is 180°\n## Answer key for problems 1) to 8)","[{\"question\":\"What are the unknowns in this worksheet problems?\",\"answer\":\"The problems ask students to find the values of variables a and b.\"},{\"question\":\"How does the worksheet use geometry information?\",\"answer\":\"Each problem references Angle XQR being 180° while setting up expressions that balance.\"},{\"question\":\"Where can the correct results be checked?\",\"answer\":\"The document provides an Answer Key listing the correct selections for each numbered item.\"}]","Finding Variable Value by Balancing Equations - Answer Key | PDF",1790771597]