{"id":443,"date":"2022-04-13T05:12:42","date_gmt":"2022-04-13T05:12:42","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=443"},"modified":"2025-08-19T18:17:55","modified_gmt":"2025-08-19T18:17:55","slug":"w-3-model-and-solve-equations-using-algebra-tiles","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/w-3-model-and-solve-equations-using-algebra-tiles\/","title":{"rendered":"W.3 Model and solve equations using algebra tiles"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Model and solve equations using algebra tiles<\/strong><\/h2>\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\" style=\"flex-basis:100%\">\n<div style=\"position: relative; width: 100%; height: 0; padding-top: 56.2500%;\n padding-bottom: 0; box-shadow: 0 2px 8px 0 rgba(63,69,81,0.16); margin-top: 1.6em; margin-bottom: 0.9em; overflow: hidden;\n border-radius: 8px; will-change: transform;\">\n  <iframe loading=\"lazy\" style=\"position: absolute; width: 100%; height: 100%; top: 0; left: 0; border: none; padding: 0;margin: 0;\"\n    src=\"https:\/\/www.canva.com\/design\/DAGwHQYQZrQ\/Ui7YE3OJ4edHMC9XimbzkA\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwHQYQZrQ&#x2F;Ui7YE3OJ4edHMC9XimbzkA&#x2F;watch?utm_content=DAGwHQYQZrQ&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class:8 Topic: Model and solve equations using algebra tiles<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>What Are Algebra Tiles?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Algebra tiles are colored shapes that represent numbers and variables:<\/p>\n\n\n\n<ul class=\"wp-block-list has-normal-font-size\">\n<li><strong>Small yellow squares<\/strong> \u2192 represent <strong>+1<\/strong> (unit tile)<\/li>\n\n\n\n<li><strong>Small red squares<\/strong> \u2192 represent <strong>-1<\/strong> (negative unit tile)<\/li>\n\n\n\n<li><strong>Large green rectangles<\/strong> \u2192 represent <strong>+x<\/strong> (variable tile)<\/li>\n\n\n\n<li><strong>Large red rectangles<\/strong> \u2192 represent <strong>-x<\/strong> (negative variable tile)<\/li>\n\n\n\n<li><strong>Large blue squares<\/strong> \u2192 represent <strong>x\u00b2<\/strong> (used in advanced problems)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Purpose of Algebra Tiles<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To <strong>visualize<\/strong> equations and expressions<\/li>\n\n\n\n<li>To <strong>model<\/strong> solving steps without guessing<\/li>\n\n\n\n<li>To understand <strong>balancing<\/strong> in equations<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Steps to Solve Equations with Algebra Tiles<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 1: Represent the equation<\/strong><\/h4>\n\n\n\n<p>Example: <strong>x + 3 = 5<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Use 1 green rectangle (<strong>x<\/strong>)<\/li>\n\n\n\n<li>Use 3 yellow squares (<strong>+3<\/strong>) on the left<\/li>\n\n\n\n<li>Use 5 yellow squares (<strong>+5<\/strong>) on the right<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 2: Keep the balance<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The two sides of the equation are like a balance scale.<\/li>\n\n\n\n<li>Whatever you do to one side, you must do to the other.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 3: Remove equal tiles from both sides<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Remove <strong>3 yellow squares<\/strong> from both sides.<\/li>\n\n\n\n<li>Now the left side has only <strong>x<\/strong>, and the right side has <strong>2 yellow squares<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 4: Find the value of x<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The green rectangle = <strong>2 yellow squares<\/strong><\/li>\n\n\n\n<li>So, <strong>x = 2<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Another Example with Negatives<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Example: <strong>x \u2013 2 = 3<\/strong><\/p>\n\n\n\n<p><strong>Model it:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>1 green rectangle (<strong>x<\/strong>)<\/li>\n\n\n\n<li>2 red squares (<strong>-1 each<\/strong>) on the left<\/li>\n\n\n\n<li>3 yellow squares on the right<\/li>\n<\/ul>\n\n\n\n<p><strong>Remove the -2 from the left<\/strong> by adding 2 yellow squares to both sides.<\/p>\n\n\n\n<p><strong>Left:<\/strong> x<br><strong>Right:<\/strong> 3 yellow + 2 yellow = 5 yellow squares<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> x = 5<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Key Rules<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always keep the equation balanced.<\/li>\n\n\n\n<li>Remove or add tiles on <strong>both sides equally<\/strong>.<\/li>\n\n\n\n<li>Positive tiles and negative tiles cancel each other:<\/li>\n\n\n\n<li><strong>(+1) + (-1) = 0<\/strong><\/li>\n\n\n\n<li><strong>(+x) + (-x) = 0<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table has-normal-font-size\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Practice Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Use algebra tiles to solve:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>x + 4 = 7<\/li>\n\n\n\n<li>x \u2013 3 = 2<\/li>\n\n\n\n<li>x + 2 = \u20131<\/li>\n\n\n\n<li>\u2013x + 3 = 1<\/li>\n\n\n\n<li>2x + 1 = 5<\/li>\n<\/ol>\n\n\n\n<p class=\"has-text-align-center has-text-color has-normal-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#f0c0c0\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-d7885f5b594982ead4c7b33c6dba6989\" style=\"color:#b00012\"><strong>Which&nbsp;equation does this set of algebra tiles&nbsp;represent?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-13-removebg-preview.png\" alt=\"\" class=\"wp-image-13125\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-13-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-13-removebg-preview-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Look&nbsp;at the tiles on the left side of the&nbsp;set.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"400\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-3-1.png\" alt=\"\" class=\"wp-image-13134\" style=\"width:520px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-3-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-3-1-300x179.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#bcdca6\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-d7885f5b594982ead4c7b33c6dba6989\" style=\"color:#b00012\"><strong>Which&nbsp;equation does this set of algebra tiles&nbsp;represent?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"300\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design__1_-removebg-preview.png\" alt=\"\" class=\"wp-image-13138\" style=\"width:560px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design__1_-removebg-preview.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design__1_-removebg-preview-300x134.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Look&nbsp;at the tiles on the left side of the&nbsp;set.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"400\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-2-1.png\" alt=\"\" class=\"wp-image-13132\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-2-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-2-1-300x179.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#edb4ed\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color wp-elements-d7885f5b594982ead4c7b33c6dba6989\" style=\"color:#b00012\"><strong>Which&nbsp;equation does this set of algebra tiles&nbsp;represent?<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"647\" height=\"386\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design__4_-removebg-preview.png\" alt=\"\" class=\"wp-image-13146\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design__4_-removebg-preview.png 647w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled_design__4_-removebg-preview-300x179.png 300w\" sizes=\"auto, (max-width: 647px) 100vw, 647px\" \/><\/figure>\n\n\n\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>Look&nbsp;at the tiles on the left side of the&nbsp;set.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"670\" height=\"400\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-5-1.png\" alt=\"\" class=\"wp-image-13144\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-5-1.png 670w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/Untitled-design-5-1-300x179.png 300w\" sizes=\"auto, (max-width: 670px) 100vw, 670px\" \/><\/figure>\n<\/div><\/div>\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\/95840\/167\/647\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-139.png\" alt=\"\" class=\"wp-image-8911\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-139.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-139-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-139-150x150.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\/36111\/248\/847\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-143.png\" alt=\"\" class=\"wp-image-8912\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-143.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-143-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-143-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Model and solve equations using algebra tiles Class:8 Topic: Model and solve equations using algebra tiles by Delta publications What Are Algebra Tiles? Algebra tiles are colored shapes that represent numbers and variables: Purpose of Algebra Tiles Steps to Solve Equations with Algebra Tiles Step 1: Represent the equation Example: x + 3 = 5<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/w-3-model-and-solve-equations-using-algebra-tiles\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.3 Model and solve equations using algebra tiles&#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-443","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=443"}],"version-history":[{"count":18,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443\/revisions"}],"predecessor-version":[{"id":21249,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/443\/revisions\/21249"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}