{"id":355,"date":"2022-04-12T10:19:54","date_gmt":"2022-04-12T10:19:54","guid":{"rendered":"http:\/\/7thclass.deltapublications.in\/?page_id=355"},"modified":"2024-09-18T10:14:46","modified_gmt":"2024-09-18T10:14:46","slug":"q-8-solve-equations-involving-like-terms","status":"publish","type":"page","link":"https:\/\/7thclass.deltapublications.in\/index.php\/q-8-solve-equations-involving-like-terms\/","title":{"rendered":"Q.8 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<p class=\"has-text-color has-huge-font-size\" style=\"color:#74008b\">Key notes:<\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>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-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d0f6fc\"><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\">\u27a1\ufe0f <strong>Solve for b.<\/strong><\/p>\n\n\n\n<p>11b \u2212 2b = 9<\/p>\n\n\n\n<p>b =______<\/p>\n<\/div><\/div>\n\n\n\n<p>Combine the b terms:<\/p>\n\n\n\n<p>11b \u2212 2b = 9<br>9b = 9<\/p>\n\n\n\n<p>Divide by 9 to solve for&nbsp;<em>b<\/em>:<\/p>\n\n\n\n<p>9b\/9 = 9\/9<\/p>\n\n\n\n<p>b = 1<\/p>\n\n\n\n<p>The answer is 1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d7dcfc\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><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>\u27a1\ufe0f Solve for m.<\/strong><\/p>\n\n\n\n<p>m + 6m = 7<\/p>\n\n\n\n<p>m =_______<\/p>\n<\/div><\/div>\n\n\n\n<p>m is the same as 1m.<\/p>\n\n\n\n<p>Combine the m terms:<\/p>\n\n\n\n<p>m + 6m = 7<br>7m = 7<\/p>\n\n\n\n<p>Divide by 7 to solve for m:<\/p>\n\n\n\n<p>7m\/7 = 7\/7<\/p>\n\n\n\n<p>m = 1<\/p>\n<\/div><\/div>\n\n\n\n<p>The answer is 1.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f9cde2\"><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>\u27a1\ufe0f Solve for j.<\/strong><\/p>\n\n\n\n<p>12j \u2212 4j = 16<\/p>\n\n\n\n<p>j =______<\/p>\n<\/div><\/div>\n\n\n\n<p>Combine the j terms:<\/p>\n\n\n\n<p>12j \u2212 4j = 16<br>8j = 16<\/p>\n\n\n\n<p>Divide by 8 to solve for j:<\/p>\n\n\n\n<p>8j\/8 = 16\/8<\/p>\n\n\n\n<p>j = 2<\/p>\n\n\n\n<p>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!\ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\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\/77964\/644\/368\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-81.png\" alt=\"\" class=\"wp-image-6730\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-81.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-81-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-81-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-2-81-400x400.png 400w\" 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\/78203\/536\/853\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-82.png\" alt=\"\" class=\"wp-image-6731\" srcset=\"https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-82.png 500w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-82-300x300.png 300w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-82-150x150.png 150w, https:\/\/7thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-1-82-400x400.png 400w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve equations involving like terms Key notes: Like terms are terms that have the same variables raised to the same powers. To subtract like terms, subtract their coefficients. Learn with an example \u27a1\ufe0f Solve for b. 11b \u2212 2b = 9 b =______ Combine the b terms: 11b \u2212 2b = 99b = 9 Divide<a class=\"more-link\" href=\"https:\/\/7thclass.deltapublications.in\/index.php\/q-8-solve-equations-involving-like-terms\/\">Continue reading <span class=\"screen-reader-text\">&#8220;Q.8 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,"footnotes":""},"class_list":["post-355","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/355","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=355"}],"version-history":[{"count":11,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/355\/revisions"}],"predecessor-version":[{"id":13987,"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/355\/revisions\/13987"}],"wp:attachment":[{"href":"https:\/\/7thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=355"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}