[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523252-105":59,"doc-detail-523252-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","equations-with-hanger-diagrams-grade-6-math-practice","Equations with Hanger Diagrams - Grade 6 Math Practice","","This educational document provides grade 6 math practice exercises focused on the relationship between algebraic equations and hanger diagrams. It teaches students how to represent visual weight-balanced hanger diagrams as linear equations, such as 4x = 32 or x + 3 = 8, and subsequently solve for the variable x. The materials include multiple problems requiring students to both write equations from diagrams and draw diagrams from provided algebraic expressions, fostering conceptual understanding of balance and equality in early algebra.",{"@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/equations-with-hanger-diagrams-grade-6-math-practice/523252/",{"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/equations-with-hanger-diagrams-grade-6-math-practice/523252.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the purpose of a hanger diagram in these math exercises?","Question",{"text":112,"@type":113},"A hanger diagram serves as a visual representation of an algebraic equation where the balance indicates equality, helping students understand how to solve for a variable like x.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you represent a balanced hanger with multiple x blocks and a weight?",{"text":117,"@type":113},"If the left side shows multiple x blocks and the right side shows a total weight, you set the number of x's equal to the weight, such as 4x = 32, and then divide to find the value of x.",{"name":119,"@type":110,"acceptedAnswer":120},"What are the steps for solving a hanger diagram equation like x + 3 = 8?",{"text":121,"@type":113},"To solve this, subtract the constant weight (3) from both sides of the equation, resulting in x = 5, which represents the remaining unknown value.","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},523252,1791503732,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Kuta Software-Infinite Grade 6 Math Name   \nEquations with Hanger Diagrams Date  Period   \nWrite an equation to represent the balanced hanger diagram. Then find the value of x.  \n1)  \n3)  \n2)  \n4)  \nx  \n11  3  \n5)  \n6)  \nDraw a hanger diagram to represent the equation. Then find the value of x.  \n7) x + 3 = 8 8) x + 8 = 15  \n9) 2x = 12 10) 15 = 3x  \nKuta Software-Infinite Grade 6 Math Name   \nEquations with Hanger Diagrams Date  Period   \nWrite an equation to represent the balanced hanger diagram. Then find the value of x.  \n1)  \n3)  \nx + 3 = 6 x = 3  \nx + 8 = 11 x = 3  \n2)  \n4)  \n7 = x + 3 x = 4  \nx  \n11  3  \n11 = x + 3 x = 8  \nDraw a hanger diagram to represent the equation. Then find the value of x.  \nCreate your own worksheets like this one with Infinite Grade 6 Math. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaipYAKRKSyDiz","https://ap.wps.com/l/cbCaipYAKRKSyDiz","pdf",56216,"English","# Writing Equations from Hanger Diagrams\n## Solving for x in Hanger Diagrams\n# Drawing Hanger Diagrams from Equations\n## Solving Equations for Variables","[{\"question\":\"What is the purpose of a hanger diagram in these math exercises?\",\"answer\":\"A hanger diagram serves as a visual representation of an algebraic equation where the balance indicates equality, helping students understand how to solve for a variable like x.\"},{\"question\":\"How do you represent a balanced hanger with multiple x blocks and a weight?\",\"answer\":\"If the left side shows multiple x blocks and the right side shows a total weight, you set the number of x's equal to the weight, such as 4x = 32, and then divide to find the value of x.\"},{\"question\":\"What are the steps for solving a hanger diagram equation like x + 3 = 8?\",\"answer\":\"To solve this, subtract the constant weight (3) from both sides of the equation, resulting in x = 5, which represents the remaining unknown value.\"}]","Equations with Hanger Diagrams - Grade 6 Math Practice | PDF",1791426651]