[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-466620-105":59,"doc-detail-466620-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","finding-variable-value-by-balancing-equations-worksheet","Finding Variable Value by Balancing Equations - Worksheet","","Worksheet for finding the values of variables a and b using balancing equations within angle relationships. Each item presents linear expressions involving a and b and uses the condition that angle XQR equals 180° to form equivalent expressions. Students match corresponding values by solving for a and b from the provided equation pairs. An answer key section supplies the completed results for the listed 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/finding-variable-value-by-balancing-equations-worksheet/466620/",{"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-worksheet/466620.png","ImageObject",300,407,{"name":92,"@type":93},"Liam","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","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 does the worksheet ask students to find?","Question",{"text":112,"@type":113},"It asks students to find the values of a and b.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What geometric condition is given in the problems?",{"text":117,"@type":113},"Angle XQR is given as 180° to set up the balancing relationships.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the equations structured in the worksheet?",{"text":121,"@type":113},"Problems use linear expressions involving a and b that students balance and solve to determine the variable values.","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},466620,1792856344,{"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},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>\u003Cbr>-3b + 96\u003Cbr>-1a + 117\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>144-8a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>56 + 4b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-3b + 72\u003Cbr> L\u003Cbr>\u003Cbr>\u003Cbr>111 + 3a\u003Cbr>X\u003Cbr>\u003Cbr>Q\u003Cbr>M R\u003Cbr>\u003Cbr>134-5b\u003Cbr>-4a + 103\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>M\u003Cbr>X Q\u003Cbr>\u003Cbr> 112\u003Cbr>50 + 0a\u003Cbr>R\u003Cbr>\u003Cbr> 139\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>41 + 3a\u003Cbr>X\u003Cbr>153-9a\u003Cbr>\u003Cbr>M\u003Cbr>1b + 75\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-6b + 126\u003Cbr> L\u003Cbr>\u003Cbr>111 + 1a\u003Cbr>X\u003Cbr>M\u003Cbr>Q R\u003Cbr>\u003Cbr>2b + 32\u003Cbr>-13a + 229\u003Cbr>\u003Cbr>-3b + 57\u003Cbr>L\u003Cbr>\u003Cbr>-3a + 159 | 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 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nFinding Variable Value by Balancing Equations  \nName: Answer Key  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | X\u003Cbr>\u003Cbr>-3b + 96\u003Cbr>-1a + 117\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>92 + 0b\u003Cbr>\u003Cbr>L\u003Cbr>-3a + 109\u003Cbr>\u003Cbr>\u003Cbr>-3b + 72\u003Cbr> L |  |  | Answers 1.  3   9  2.  9   8  3.  6   6  4.  7   9  5.  3   10  6.  5   6  7.  7   5  8.  3   9  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7) | \u003Cbr>M\u003Cbr>X Q\u003Cbr>\u003Cbr> 112\u003Cbr>50 + 0a\u003Cbr>R\u003Cbr>\u003Cbr> 139\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>41 + 3a\u003Cbr>X\u003Cbr>153-9a\u003Cbr>\u003Cbr>M\u003Cbr>1b + 75\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-6b + 126\u003Cbr> L\u003Cbr>\u003Cbr>111 + 1a\u003Cbr>\u003Cbr>\u003Cbr>-3b + 57\u003Cbr>L\u003Cbr>-3a + 159 | 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 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nFinding Variable Value by Balancing Equations  \nName:  \n\n| Find the value of 'a' and 'b'. Angle XQR is 180°. |  |  | X\u003Cbr>\u003Cbr>-3b + 96\u003Cbr>-1a + 117\u003Cbr>R\u003Cbr>\u003Cbr>X\u003Cbr>144-8a\u003Cbr>\u003Cbr>\u003Cbr>Q\u003Cbr>M\u003Cbr>56 + 4b\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-3b + 72\u003Cbr> L\u003Cbr>\u003Cbr>\u003Cbr>111 + 3a | Answers\u003Cbr>1.    \u003Cbr>2.    \u003Cbr>3.    \u003Cbr>4.    \u003Cbr>5.    \u003Cbr>6.     |\n| --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5) | \u003Cbr>M\u003Cbr>X Q\u003Cbr>\u003Cbr> 112\u003Cbr>50 + 0a\u003Cbr>R\u003Cbr>\u003Cbr> 139\u003Cbr>L\u003Cbr>\u003Cbr>\u003Cbr>41 + 3a\u003Cbr>X\u003Cbr>153-9a\u003Cbr>\u003Cbr>M\u003Cbr>1b + 75\u003Cbr>R\u003Cbr>\u003Cbr>\u003Cbr>-6b + 126\u003Cbr> L\u003Cbr>\u003Cbr>111 + 1a | 2)\u003Cbr>4)\u003Cbr>6) |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n\n1-6 83 67 50 33 17 0","cbCairXOpPXQZlbv","https://ap.wps.com/l/cbCairXOpPXQZlbv","pdf",46880,"English","# Find the value of 'a' and 'b'\n## Angle XQR is 180°\n## Solve using balancing equations\n## Answer key","[{\"question\":\"What does the worksheet ask students to find?\",\"answer\":\"It asks students to find the values of a and b.\"},{\"question\":\"What geometric condition is given in the problems?\",\"answer\":\"Angle XQR is given as 180° to set up the balancing relationships.\"},{\"question\":\"How are the equations structured in the worksheet?\",\"answer\":\"Problems use linear expressions involving a and b that students balance and solve to determine the variable values.\"}]","Finding Variable Value by Balancing Equations - Worksheet | PDF",1790771594]