{"id":230,"date":"2022-04-13T08:46:39","date_gmt":"2022-04-13T08:46:39","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=230"},"modified":"2025-04-08T10:17:45","modified_gmt":"2025-04-08T10:17:45","slug":"n-2-write-and-solve-equations-that-represent-diagrams","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/n-2-write-and-solve-equations-that-represent-diagrams\/","title":{"rendered":"N.2 Write and solve equations that represent diagrams"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Write and solve equations that represent diagrams<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-d4d355b76dd54277399098c306fb7fdd\" style=\"color:#74008b\">key points :<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-0be53b9ae4fd64a9821f256bf433a160\" style=\"color:#000060\"><strong>Understanding the Diagram:<\/strong><\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Read the diagram carefully.<\/li>\n\n\n\n<li>Identify variables (unknowns) represented by symbols (like x, y).<\/li>\n\n\n\n<li>Look for shapes, lines, or symbols that represent operations (e.g., addition, subtraction).<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-4976714d5b656d97e5a8a83511d7a4f1\" style=\"color:#000060\"><strong>Translate Visual Information into an Equation:<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color has-large-font-size wp-elements-9bafbd56dff1eb0e4f6011b50d3cc7b3\"><ul><li class=\"\">Use the relationships shown in the diagram to form an equation.Convert visual cues (like boxes or arrows) into mathematical operations.Assign a variable to the unknown value.<\/li><\/ul>Example: If a box shows &#8220;x + 3 = 7&#8221;, write it directly as an equation.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-c727f5fd9c7ac849e6eb2eae6c6816dd\" style=\"color:#000060\"><strong>Write the Equation:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Use appropriate mathematical symbols (+, \u2212, \u00d7, \u00f7).<\/p>\n\n\n\n<p class=\"has-large-font-size\">Write one equation per relationship shown.<\/p>\n\n\n\n<p class=\"has-large-font-size\">Ensure both sides of the equation are balanced.<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-d019922a164e0243b8d0b8825382d213\" style=\"color:#000060\"><strong>Solve the Equation:<\/strong><\/p>\n\n\n\n<p class=\"has-primary-color has-text-color has-link-color has-large-font-size wp-elements-2a531119814ff1fbc13ca9d92a6ee987\"><ul><li class=\"\">Use inverse operations (add \u2194 subtract, multiply \u2194 divide) to isolate the variable.Solve step by step and check your work.<\/li><\/ul>Example:<br>x + 3 = 7<br>Subtract 3 on both sides: x = 4<\/p>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-129593f7ce91c9fa9749dcf0178368b0\" style=\"color:#000060\"><strong>Label the Answer:<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Include units if mentioned in the diagram (e.g., cm, kg, dollars).<\/p>\n\n\n\n<p class=\"has-large-font-size\">Interpret your solution in the context of the problem.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-1d40376050e8b7044a324edfb46926df\" style=\"color:#000060\">\u270f\ufe0f <strong>Tips for Solving Diagram-Based Equations:<\/strong><\/h3>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Look for <strong>patterns<\/strong> or repeated steps.<\/li>\n\n\n\n<li>Break complex diagrams into smaller parts.<\/li>\n\n\n\n<li>Draw your own version if the diagram is confusing.<\/li>\n\n\n\n<li>Use <strong>substitution<\/strong> if there\u2019s more than one variable.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-44c524eaee8f1189fbeb679d5b923d22\" style=\"color:#000060\">\ud83e\udde0 <strong>Example Problem:<\/strong><\/h3>\n\n\n\n<p class=\"has-large-font-size\">A diagram shows:<br>A box labeled <strong>&#8220;x&#8221;<\/strong>, followed by an arrow and the instruction <strong>&#8220;Add 5&#8221;<\/strong>, then another arrow to a box labeled <strong>&#8220;Result: 12&#8221;<\/strong>.<\/p>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udc49 <strong>Equation:<\/strong><br>x+5=12<\/p>\n\n\n\n<p class=\"has-large-font-size\">\ud83d\udc49 <strong>Solution:<\/strong><br>x=12\u22125=7<\/p>\n\n\n\n<p class=\"has-text-align-center has-background-background-color has-text-color has-background has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#7ad1e9\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Write an equation that says that the length of the green line is equal to the length of the black line. Combine like terms.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-3.png\" alt=\"\" class=\"wp-image-4586\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-3.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-3-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>We want to replace both sides of the equation below with numbers and variable expressions:<\/p>\n\n\n\n<p>length of green line=length of black line<\/p>\n\n\n\n<p>The length of the green line is 50.<\/p>\n\n\n\n<p>The black line is the sum of its segments, so:<\/p>\n\n\n\n<p>length of black line=3g+g+6<\/p>\n\n\n\n<p>=4g+6<\/p>\n\n\n\n<p>Putting these together gives:<\/p>\n\n\n\n<p>50=4g+6<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f6e7af\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Write an equation that says that the length of the green line is equal to the length of the black line. Combine like terms.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-1-1.png\" alt=\"\" class=\"wp-image-4590\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-1-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-1-1-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>We want to replace both sides of the equation below with numbers and variable expressions:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>length of green line<\/td><td>=<\/td><td>length of black line<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The length of the green line is 35.<\/p>\n\n\n\n<p>The black line is the sum of its segments, so:<\/p>\n\n\n\n<p>length of black line=<em>s<\/em>&nbsp;+&nbsp;<em>s<\/em>&nbsp;+&nbsp;<em>s<\/em>&nbsp;+&nbsp;<em>s<\/em>&nbsp;+&nbsp;<em>s<\/em>&nbsp;+ 15<\/p>\n\n\n\n<p>=5s+15<\/p>\n\n\n\n<p>Putting these together gives:<\/p>\n\n\n\n<p>35=5s+15<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#9df19d\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Write an equation that says that the length of the green line is equal to the length of the black line. Combine like terms.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"200\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-2-1.png\" alt=\"\" class=\"wp-image-4593\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-2-1.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/02\/Untitled-500-\u00d7-200px-2-1-300x120.png 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p>We want to replace both sides of the equation below with numbers and variable expressions:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>length of green line<\/td><td>=<\/td><td>length of black line<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The length of the green line is 36.<\/p>\n\n\n\n<p>The black line is the sum of its segments, so:<\/p>\n\n\n\n<p>length of black line = v + v + v + 12<\/p>\n\n\n\n<p>= 3v + 12<\/p>\n\n\n\n<p>Putting these together gives:<\/p>\n\n\n\n<p>36 = v + 12<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/90018\/732\/942\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-87.png\" alt=\"\" class=\"wp-image-7953\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-87.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-87-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-87-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/90018\/635\/505\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-96.png\" alt=\"\" class=\"wp-image-7954\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-96.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-96-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-96-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Write and solve equations that represent diagrams key points : Understanding the Diagram: Translate Visual Information into an Equation: Use the relationships shown in the diagram to form an equation.Convert visual cues (like boxes or arrows) into mathematical operations.Assign a variable to the unknown value. Example: If a box shows &#8220;x + 3 = 7&#8221;,<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/n-2-write-and-solve-equations-that-represent-diagrams\/\">Continue reading <span class=\"screen-reader-text\">&#8220;N.2 Write and solve equations that represent diagrams&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-230","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=230"}],"version-history":[{"count":21,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230\/revisions"}],"predecessor-version":[{"id":16690,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/230\/revisions\/16690"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=230"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}