{"id":274719,"date":"2025-07-28T10:39:25","date_gmt":"2025-07-28T10:39:25","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=274719"},"modified":"2025-07-28T10:39:27","modified_gmt":"2025-07-28T10:39:27","slug":"consider-the-expression-4xy6z12-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/consider-the-expression-4xy6z12-2\/","title":{"rendered":"Consider the expression 4x+y+6z+12.\u00a0"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-1085.png\" alt=\"\" class=\"wp-image-274720\"\/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>Based on the visible portion of the screen, the initial problem involves the expression&nbsp;<strong>1x + y + 6x + 12<\/strong>. The likely first step is to simplify this expression.<\/p>\n\n\n\n<p><strong>Correct Answer:<\/strong><br>The simplified form of the expression is&nbsp;<strong>7x + y + 12<\/strong>.<br>The coefficients in the simplified expression are&nbsp;<strong>7<\/strong>&nbsp;and&nbsp;<strong>1<\/strong>.<\/p>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>The task is to analyze the algebraic expression 1x + y + 6x + 12. This process typically begins with simplification, which involves combining any &#8220;like terms&#8221;. Like terms are terms that have the same variable raised to the same power.<\/p>\n\n\n\n<p>First, we identify the like terms within the expression. The terms 1x and 6x are like terms because they both contain the variable x. The term y is distinct, as is the number 12, which is known as a constant.<\/p>\n\n\n\n<p>To simplify, we combine the like terms by adding their coefficients. A coefficient is the numerical part of a term that is multiplied by a variable. For the term 1x, the coefficient is 1. For the term 6x, the coefficient is 6. Adding these coefficients gives us 1 + 6 = 7. This means the combined term for x is 7x.<\/p>\n\n\n\n<p>The other terms, y and 12, do not have any like terms, so they remain as they are. After combining the x terms, we write the new, simplified expression by including all the remaining parts. This gives us the final simplified expression: 7x + y + 12.<\/p>\n\n\n\n<p>Further analysis of this simplified expression allows us to identify its components, which is often a follow up question.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Terms:<\/strong>\u00a0The individual parts of the expression separated by addition are 7x, y, and 12.<\/li>\n\n\n\n<li><strong>Coefficients:<\/strong>\u00a0As defined, these are the numbers multiplying the variables. The coefficient of x is 7. For the variable y, the coefficient is an implied 1, since y is the same as 1y.<\/li>\n\n\n\n<li><strong>Variables:<\/strong>\u00a0The letters representing unknown values are x and y.<\/li>\n\n\n\n<li><strong>Constant:<\/strong>\u00a0The term without a variable is the constant. Here, the constant is 12.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" data-id=\"274722\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2414.jpeg\" alt=\"\" class=\"wp-image-274722\"\/><\/figure>\n<\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: Based on the visible portion of the screen, the initial problem involves the expression&nbsp;1x + y + 6x + 12. The likely first step is to simplify this expression. Correct Answer:The simplified form of the expression is&nbsp;7x + y + 12.The coefficients in the simplified expression are&nbsp;7&nbsp;and&nbsp;1. Explanation: The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-274719","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274719","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=274719"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/274719\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=274719"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=274719"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=274719"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}