{"id":451,"date":"2022-04-13T05:14:21","date_gmt":"2022-04-13T05:14:21","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=451"},"modified":"2025-08-19T18:24:40","modified_gmt":"2025-08-19T18:24:40","slug":"w-7-solve-two-step-equations","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/w-7-solve-two-step-equations\/","title":{"rendered":"W.7 Solve two-step equations"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\">Solve two-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\/DAGwHgBM-8I\/b4amsXvrNdWfx4JIQPjN3A\/watch?embed\" allowfullscreen=\"allowfullscreen\" allow=\"fullscreen\">\n  <\/iframe>\n<\/div>\n<a href=\"https:&#x2F;&#x2F;www.canva.com&#x2F;design&#x2F;DAGwHgBM-8I&#x2F;b4amsXvrNdWfx4JIQPjN3A&#x2F;watch?utm_content=DAGwHgBM-8I&amp;utm_campaign=designshare&amp;utm_medium=embeds&amp;utm_source=link\" target=\"_blank\" rel=\"noopener\">Class 8: Topic: Solve two-step equations<\/a> by Delta publications\n<\/div>\n<\/div>\n\n\n\n<p><\/p>\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 Two-Step Equation?<\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>A <strong>two-step equation<\/strong> is an equation that can be solved in <strong>two operations<\/strong> (addition\/subtraction and multiplication\/division).<\/p>\n\n\n\n<p>Example: 2x+3=11<\/p>\n\n\n\n<p>You need <strong>two steps<\/strong> to find x.<\/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>The Goal<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Find the value of the variable (usually x) by <strong>undoing<\/strong> the operations in reverse order of the 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>Steps to Solve a Two-Step Equation<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 1: Undo addition or subtraction<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Add or subtract the same number from both sides to remove the constant term.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-normal-font-size\"><strong>Step 2: Undo multiplication or division<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Multiply or divide both sides to isolate the variable.<\/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>Example Problems<\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Example 1<\/p>\n\n\n\n<p>2x+3=11<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Subtract 3 from both sides<\/p>\n\n\n\n<p>2x=8<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Divide both sides by 2<\/p>\n\n\n\n<p>x=4<\/p>\n\n\n\n<p>Example 2<\/p>\n\n\n\n<p>5x\u22124=16<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Add 4 to both sides<\/p>\n\n\n\n<p>5x=20<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Divide both sides by 5<\/p>\n\n\n\n<p>x=4<\/p>\n\n\n\n<p><strong>Example 3 (with negatives)<\/strong><\/p>\n\n\n\n<p>\u22123x+5=\u22127<\/p>\n\n\n\n<p><strong>Step 1:<\/strong> Subtract 5 from both sides<\/p>\n\n\n\n<p>\u22123x=\u221212<\/p>\n\n\n\n<p><strong>Step 2:<\/strong> Divide both sides by -3<\/p>\n\n\n\n<p>x=4<\/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><strong><strong>Important Tips<\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Always keep the equation <strong>balanced<\/strong> by doing the same operation on both sides.<\/li>\n\n\n\n<li>Be careful with <strong>negative signs<\/strong> when dividing or multiplying.<\/li>\n\n\n\n<li>Check your answer by substituting back into the original equation.<\/li>\n<\/ul>\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><strong>Practice Problems<\/strong><\/strong><\/strong><\/strong><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>4x+7=19<\/li>\n\n\n\n<li>6x\u22128=10<\/li>\n\n\n\n<li>\u22122x+9=3<\/li>\n\n\n\n<li>x\/3+5=9<\/li>\n\n\n\n<li>x\/4\u22122=6<\/li>\n<\/ul>\n\n\n\n<p class=\"has-normal-font-size\">To solve for a variable, use inverse operations to undo the operations in the equation. Be sure to do the same operation to both sides of the equation.<\/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:#530639\"><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-c82aad076ce574e47cdf3eb24cfbb7ff\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>c<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-c47126a08741374c49a564705c358c1b\" style=\"color:#b00012\">2<em>c<\/em>&nbsp;\u2212 2 = 6<br><br><em>c<\/em>&nbsp;=&nbsp;_______<\/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-2e2f20c0ef464e669844f3bd0d2991a9\">2c \u2212 2 = 6<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-ecafb00bddccc31e7e5f754bf575e3b2\">2c \u2212 2 + 2 = 6 + 2                 Add 2 to both sides<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-2d74d8c37bcbbf3bdde379899b1a778f\">2c = 8                                     Simplify<\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-d29ac84031c13f017b360ea74bffe588\">2C\/2 = 8\/2                              <em>Divide both sides by 2<\/em><\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-b1605457dbc20d77f39de9c0623230a9\">c = 4 Simplify<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-normal-font-size\" style=\"background-color:#03423e\"><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-c6304e2940c4a3e7897d860adfe3639a\" style=\"color:#b00012\"><strong>Solve for&nbsp;<em>y<\/em>.<\/strong><\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-0c3249d5ccfea00b15d74aec1b7524ed\" style=\"color:#b00012\">2<em>y<\/em>&nbsp;\u2212 7 = 1<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-0b43e996185131dc1305029ba8fd6c9a\" style=\"color:#b00012\"><em>y<\/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-ccb15221022fd2bb488800a3b553bcd6\">2<em>y<\/em>&nbsp;\u2212 7&nbsp;=&nbsp;1<br>2<em>y<\/em>&nbsp;\u2212 7 + 7&nbsp;=&nbsp;1 + 7           <em>Add 7 to both sides<\/em><br>2<em>y<\/em>&nbsp;=&nbsp;8                                         <em>Simplify<\/em><\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-decd47382d999e23cf8b74615ce4b344\">2y\/2=8\/2                <em>Divide both sides by 2<\/em><br><em>y<\/em>&nbsp;=&nbsp;4                                      <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:#014821\"><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-2090d7b5d5f4fcd774169d2bc993540f\" style=\"color:#b00012\">5 + 2<em>w<\/em>&nbsp;= 9<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-641dfce8ad82ae9ec0e5d6a9d6fcdb4a\" style=\"color:#b00012\"><em>w<\/em>&nbsp;=&nbsp;&#8212;&#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 wp-elements-c8d6f0078f7a9059f331463214f17352\">5 + 2<em>w<\/em>&nbsp;=&nbsp;9<br>5 + 2<em>w<\/em>&nbsp;\u2212 5&nbsp;=&nbsp;9 \u2212 5        <em>Subtract 5 from both sides<\/em><br>2<em>w<\/em>&nbsp;=&nbsp;4                                    <em>Simplify<\/em><\/p>\n\n\n\n<p class=\"has-background-color has-text-color has-link-color wp-elements-083d1634952482119ffa12c1d46da8fe\">2w\/2=4\/2                            <em>Divide both sides by 2<\/em><br><em>w<\/em>&nbsp;=&nbsp;2                                    <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\/95843\/059\/767\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-145.png\" alt=\"\" class=\"wp-image-8931\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-145.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-145-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-145-150x150.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\/31682\/293\/364\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-149.png\" alt=\"\" class=\"wp-image-8932\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-149.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-149-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-149-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve two-step equations Class 8: Topic: Solve two-step equations by Delta publications Key Notes: What is a Two-Step Equation? A two-step equation is an equation that can be solved in two operations (addition\/subtraction and multiplication\/division). Example: 2x+3=11 You need two steps to find x. The Goal Find the value of the variable (usually x) by<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/w-7-solve-two-step-equations\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.7 Solve two-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-451","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\/451","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=451"}],"version-history":[{"count":19,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/451\/revisions"}],"predecessor-version":[{"id":21254,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/451\/revisions\/21254"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=451"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}