{"id":449,"date":"2022-04-13T05:13:36","date_gmt":"2022-04-13T05:13:36","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=449"},"modified":"2025-08-19T18:23:45","modified_gmt":"2025-08-19T18:23:45","slug":"w-6-solve-one-step-equations","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/w-6-solve-one-step-equations\/","title":{"rendered":"W.6 Solve one-step equations"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"> Solve one-step equations<\/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\/DAGwHl57mFY\/1DaDySCIRHI0znEttBosHA\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwHl57mFY&#x2F;1DaDySCIRHI0znEttBosHA&#x2F;watch?utm_content=DAGwHl57mFY&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class 8: Topic: Solve one-step Equation<\/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 is a One-Step Equation?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A <strong>one-step equation<\/strong> is an equation that can be solved in <strong>just one operation<\/strong> (addition, subtraction, multiplication, or division).<\/p>\n\n\n\n<p><strong>Example:<\/strong> x+5=12<\/p>\n\n\n\n<p>Here, you can solve for <strong>x<\/strong> by performing just one operation.<\/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> Key Rule: Balance<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>An equation is like a <strong>balance scale<\/strong> \u2014 both sides must stay equal.<br>Whatever you do to one side, you <strong>must do to the other side<\/strong>.<\/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>Steps to Solve One-Step Equations<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Case 1: Addition<\/strong><\/h4>\n\n\n\n<p>If the equation is <strong>x + a = b<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Do the <strong>opposite<\/strong> (subtract a from both sides).<\/li>\n<\/ul>\n\n\n\n<p>Example: x+7=15<\/p>\n\n\n\n<p> x=15\u22127<\/p>\n\n\n\n<p> x=8<\/p>\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>Case 2: Subtraction<\/strong><\/h4>\n\n\n\n<p>If the equation is <strong>x \u2013 a = b<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Do the <strong>opposite<\/strong> (add a to both sides).<\/li>\n<\/ul>\n\n\n\n<p>Example:<\/p>\n\n\n\n<p> x\u22124=10<\/p>\n\n\n\n<p>x=10+4<\/p>\n\n\n\n<p> x=14<\/p>\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>Case 3: Multiplication<\/strong><\/h4>\n\n\n\n<p>If the equation is <strong>a\u00b7x = b<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Do the <strong>opposite<\/strong> (divide both sides by a).<\/li>\n<\/ul>\n\n\n\n<p>Example: 3x=183<\/p>\n\n\n\n<p>x = 183<\/p>\n\n\n\n<p>x=18 <\/p>\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>Case 4: Division<\/strong><\/h4>\n\n\n\n<p>Example: x\/6=12<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Multiply both sides by 6. x=12\u00d76<\/p>\n\n\n\n<p><strong>Answer:<\/strong> x=72<\/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>Special Case: Negative Numbers<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Follow the same rules, but be careful with signs.<\/p>\n\n\n\n<p>Example: x\u2212(\u22123)=7<\/p>\n\n\n\n<p>This means: x+3=7<\/p>\n\n\n\n<p> x=4<\/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>Check Your Answer<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Always <strong>substitute<\/strong> your answer back into the original equation to verify.<\/p>\n\n\n\n<p>Example:<br>Equation: x+7=15<br>Solution: x=8<br>Check: 8+7=15 \u2705<\/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>Practice Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Solve for xxx:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x+12=20<\/li>\n\n\n\n<li>x\u22129=5<\/li>\n\n\n\n<li>4x=24<\/li>\n\n\n\n<li>x7=3<\/li>\n\n\n\n<li>x+(\u22125)=\u22121<\/li>\n<\/ul>\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:#4a0404\"><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-a3ef4b4016ea841cc107e35e7845bb0b\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>w<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-e5a80e1af00b184c27aaaa50d0f5b1f0\" style=\"color:#b00012\"><em>w<\/em>&nbsp;\u2212 3 = 5<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-7e11df5ee7a24aedb91128222979b239\" style=\"color:#b00012\"><em>w<\/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-ef597f5f7343649aa45c222b4314f507\">Solve.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color has-normal-font-size wp-elements-94b335525b0cc7613d9d96fbf009f46f\"><em>w<\/em>&nbsp;\u2212 3&nbsp;=&nbsp;5<br><em>w<\/em>&nbsp;\u2212 3 + 3&nbsp;=&nbsp;5 + 3       <em>Add 3 to both sides<\/em><br><em>w<\/em>&nbsp;=&nbsp;8                          <em>Simplify<\/em><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#035450\"><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-456ea98de90b4b94e699fa06f7b56aff\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>b<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-6198dcac28752dc3c662ec5caddbd11b\" style=\"color:#b00012\"><em>b<\/em>&nbsp;+ 2 = 7<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c70dc9c9ab2c69340599044bf3922874\" style=\"color:#b00012\"><em>b<\/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-ef597f5f7343649aa45c222b4314f507\">Solve.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-db2ef211669d996925318c75ad182c34\"><em>b<\/em>&nbsp;+ 2&nbsp;=&nbsp;7<br><em>b<\/em>&nbsp;+ 2 \u2212 2&nbsp;=&nbsp;7 \u2212 2      <em>Subtract 2 from both sides<\/em><br><em>b<\/em>&nbsp;=&nbsp;5                         <em>Simplify<\/em><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#041956\"><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-5e443f05384dd6a0263a968e63b14502\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>k<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-64e217c8aa736a517ac101ca1084bac2\" style=\"color:#b00012\">k\/2=3<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-5648cd1940e4daa796e1511989b85540\" style=\"color:#b00012\"><em>k<\/em>&nbsp;=&nbsp;&#8212;-<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-ef597f5f7343649aa45c222b4314f507\">Solve.<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-290d6a178ff4501f957182a933c0d52d\">k\/2=3<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-fff5a03f795dd34b7f70e2b39fff288f\">k\/2 . 2=&nbsp;3 \u00b7 2      <em>Multiply both sides by 2<\/em><br><em>k<\/em>&nbsp;=&nbsp;6       <em>Simplify<\/em><\/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\/95842\/120\/909\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-136.png\" alt=\"\" class=\"wp-image-8901\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-136.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-136-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-136-150x150.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\/34069\/495\/478\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-140.png\" alt=\"\" class=\"wp-image-8902\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-140.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-140-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-140-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve one-step equations Class 8: Topic: Solve one-step Equation by Delta publications Key Notes: What is a One-Step Equation? A one-step equation is an equation that can be solved in just one operation (addition, subtraction, multiplication, or division). Example: x+5=12 Here, you can solve for x by performing just one operation. Key Rule: Balance An<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/w-6-solve-one-step-equations\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.6 Solve one-step equations&#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-449","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\/449","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=449"}],"version-history":[{"count":16,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/449\/revisions"}],"predecessor-version":[{"id":21252,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/449\/revisions\/21252"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=449"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}