{"id":455,"date":"2022-04-13T05:14:55","date_gmt":"2022-04-13T05:14:55","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=455"},"modified":"2025-08-19T18:27:12","modified_gmt":"2025-08-19T18:27:12","slug":"w-9-solve-equations-involving-like-terms","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/w-9-solve-equations-involving-like-terms\/","title":{"rendered":"W.9 Solve equations involving like terms"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Solve equations involving like terms<\/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\/DAGwH9CPKbE\/I2BOfeunlwRV-tg5ojtVxA\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwH9CPKbE&#x2F;I2BOfeunlwRV-tg5ojtVxA&#x2F;watch?utm_content=DAGwH9CPKbE&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class-8 Topic: Solving equations involving like terms<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-4d4696560822e7cb72ec4be90d4370b1\" style=\"color:#74008b\">Key Notes:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong>What are Like Terms?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Like terms<\/strong> are terms that have the same variable(s) raised to the same power.<\/li>\n\n\n\n<li>Only the <strong>coefficients<\/strong> (numbers in front) can be different.<\/li>\n<\/ul>\n\n\n\n<p>\u2705 Examples of like terms:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3x and \u22125x<\/li>\n\n\n\n<li>2y<sup>2<\/sup> and 7y<sup>2<\/sup><\/li>\n\n\n\n<li>4a and a (remember a=1a)<\/li>\n<\/ul>\n\n\n\n<p>\u274c Not like terms:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2x and 2y (different variables)<\/li>\n\n\n\n<li>x and x<sup>2<\/sup> (different exponents)<\/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\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong>Steps to Solve Equations with Like Terms<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 1:<\/strong> Identify and combine like terms on each side of the equation.<\/h4>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 2:<\/strong> Use properties of equality (addition\/subtraction) to isolate the variable term.<\/h4>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 3:<\/strong> Use multiplication\/division to solve for the variable.<\/h4>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 4:<\/strong> Check your solution by substituting it back into the original equation.<\/h4>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Example 1:<\/strong><\/h3>\n\n\n\n<p>3x+5x\u22124=12<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Combine like terms on the left: 8x\u22124=12<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Add 4 to both sides: 8x=16<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Divide both sides by 8: x=2<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Check: 3(2)+5(2)\u22124=6+10\u22124=12\u2714<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-normal-font-size\"><strong>Example 2:<\/strong><\/h3>\n\n\n\n<p>7y\u22123+2y=14<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Combine like terms: 9y\u22123=14<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Add 3 to both sides: 9y=17<\/p>\n\n\n\n<p><strong>Step 3:<\/strong> Divide by 9: y=17\/9<\/p>\n\n\n\n<p><strong>Step 4:<\/strong> Check: Substitute y=17\/9\u200b into the original equation.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-text-color has-link-color has-fixed-layout\" style=\"color:#000060\"><tbody><tr><td><strong><strong><strong>Common Mistakes to Avoid<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u274c Forgetting to combine like terms first.<\/li>\n\n\n\n<li>\u274c Combining terms that are <strong>not<\/strong> alike.<\/li>\n\n\n\n<li>\u274c Making sign mistakes with negative numbers.<\/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\"><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<ul class=\"wp-block-list\">\n<li>4x+7x=33<\/li>\n\n\n\n<li>5y\u22122y+8=17<\/li>\n\n\n\n<li>3a+6\u2212a=14<\/li>\n\n\n\n<li>8m\u22122+5m+1=29<\/li>\n\n\n\n<li>10x+2x\u22125=43<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">Like terms are terms that have the same variables raised to the same powers. To subtract like terms, subtract their coefficients.<\/p>\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:#97a377\"><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 has-link-color wp-elements-ac78c7f8d6380e2b87e198cdcf072afa\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>g<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a567f6df1233f32ff4d04b52e032416c\" style=\"color:#b00012\">8<em>g<\/em>&nbsp;\u2212 2<em>g<\/em>&nbsp;= 6<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-f9aee601ff226adcb44ec456c9e31a92\" style=\"color:#b00012\"><em>g<\/em>&nbsp;=&nbsp;&#8212;&#8212;<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-7602db196a22c76810d4da614b10e454\">Combine the&nbsp;<em>g<\/em>&nbsp;terms:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-28b7bbb0eef9bc679ec3c78a4e0825be\">8g-2g=6<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-edb58cf1269ce6f83ed9e17715064010\">6g=6          <\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-3bf976212c439cc1b1d168f2459e95b6\">Divide by 6 to solve for&nbsp;<em>g<\/em>:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-1fa26b5c6bb2bf35129e0973bdf6e4b6\">6g\/6=6\/6<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-cb5bad03f50a96168cfcaa1e44dc8c57\">g=1<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-558a0b9158a5677810142fe789865137\">The answer is 1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#96c0e3\"><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 has-link-color wp-elements-468ea0505475024703636cc266868210\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>h<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b0a3d3156ea30d0c491bb6d040cab523\" style=\"color:#b00012\">20<em>h<\/em>&nbsp;\u2212 13<em>h<\/em>&nbsp;= 14<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-6b263f8b44e1bdc8d4e36c6965ec4097\" style=\"color:#b00012\"><em>h<\/em>&nbsp;=&nbsp;&#8212;&#8211;<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-7602db196a22c76810d4da614b10e454\">Combine the&nbsp;<em>g<\/em>&nbsp;terms:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-8da5124b1b858d48a074fd17ae4f39fc\">20h-13h=14<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-b836119946f52696568a69465f51ba3c\">7h=14       <\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-3bf976212c439cc1b1d168f2459e95b6\">Divide by 6 to solve for&nbsp;<em>g<\/em>:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-40cb1204f29016f51a8d24fe15904014\">7h\/7=14\/7<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-ad3e84f966f72f938556a6d16aa12dae\">h=2<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-f4f36c15dcb32c99023ffb1158f2f9c4\">The answer is 2.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#78ae8a\"><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 has-link-color wp-elements-7f3d1742779e24898680b4ecc15809ff\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>d<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-26e5de447f54befc90ccefef90b476c2\" style=\"color:#b00012\">4<em>d<\/em>&nbsp;\u2212&nbsp;<em>d<\/em>&nbsp;= 6<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-a71195cd5b1ab5dd3b599cdd9e622652\" style=\"color:#b00012\"><em>d<\/em>&nbsp;=&#8212;<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-612cfd5c36a1ea12f4d5374fd7d91359\"><em>d<\/em>&nbsp;is the same as 1<em>d<\/em>.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-b95481a09f2097ad7e49e9ecf66c3127\">Combine the&nbsp;<em>d<\/em>&nbsp;terms:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-05606551ac81087ddba176e7d2bc4457\">4d-d=6<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-95acc7e2224469328312207943f3f061\">3d=6<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-bb0f015ceabea1ca8411b1b13aebbef3\">Divide by 3 to solve for&nbsp;<em>d<\/em>:<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-ce23b79bf8d21940f487a09c4f75684c\">3d\/3=6\/3<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-fb08ebbce125d5eb3186ecbefb0fa4fc\">d=2<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-f4f36c15dcb32c99023ffb1158f2f9c4\">The answer is 2.<\/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\/95849\/081\/423\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143.png\" alt=\"\" class=\"wp-image-8923\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-143-150x150.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\/34070\/142\/514\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147.png\" alt=\"\" class=\"wp-image-8924\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-147-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve equations involving like terms Class-8 Topic: Solving equations involving like terms by Delta publications Key Notes: What are Like Terms? \u2705 Examples of like terms: \u274c Not like terms: Steps to Solve Equations with Like Terms Step 1: Identify and combine like terms on each side of the equation. Step 2: Use properties of<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/w-9-solve-equations-involving-like-terms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.9 Solve equations involving like terms&#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-455","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\/455","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=455"}],"version-history":[{"count":18,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/455\/revisions"}],"predecessor-version":[{"id":21256,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/455\/revisions\/21256"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=455"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}