{"id":273390,"date":"2025-07-27T11:56:23","date_gmt":"2025-07-27T11:56:23","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=273390"},"modified":"2025-07-27T11:56:25","modified_gmt":"2025-07-27T11:56:25","slug":"40x43-39","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/27\/40x43-39\/","title":{"rendered":"40x+43-39"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/image-944.png\" alt=\"\" class=\"wp-image-273392\"\/><\/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>The correct answer is&nbsp;<strong>40x + 4<\/strong>.<\/p>\n\n\n\n<p>To arrive at this answer, we must simplify the original algebraic expression shown in the image, which is&nbsp;40x + 43 &#8211; 39. The process of simplification in algebra involves combining &#8220;like terms.&#8221; Like terms are terms that have the same variable part raised to the same power. Constant numbers, which are numbers without variables, are also considered like terms with each other.<\/p>\n\n\n\n<p>Let&#8217;s analyze the components of the given expression:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>40x<\/strong>: This is a variable term. It consists of a coefficient, which is 40, and a variable, which is &#8216;x&#8217;.<\/li>\n\n\n\n<li><strong>+43<\/strong>: This is a constant term. It is a fixed numerical value.<\/li>\n\n\n\n<li><strong>-39<\/strong>: This is another constant term.<\/li>\n<\/ol>\n\n\n\n<p>The first step in simplifying is to identify the like terms. In this expression, the constant terms&nbsp;+43&nbsp;and&nbsp;-39&nbsp;are like terms. The variable term&nbsp;40x&nbsp;is the only term with the variable &#8216;x&#8217;, so it has no other like terms to combine with. Therefore, the&nbsp;40x&nbsp;part of the expression will remain unchanged throughout the simplification process.<\/p>\n\n\n\n<p>The next step is to combine the like terms by performing the indicated mathematical operation. Here, we need to subtract 39 from 43.<\/p>\n\n\n\n<p>The calculation is:<br>43 &#8211; 39 = 4<\/p>\n\n\n\n<p>Now that we have combined the constant terms into a single value, we can rewrite the entire expression in its simplified form. We take the variable term,&nbsp;40x, and add the result of our calculation for the constants, which is&nbsp;+4.<\/p>\n\n\n\n<p>This gives us the final, simplified expression:&nbsp;40x + 4.<\/p>\n\n\n\n<p>This expression cannot be simplified any further because&nbsp;40x&nbsp;and&nbsp;4&nbsp;are not like terms. One term&#8217;s value depends on the variable &#8216;x&#8217;, while the other is a fixed constant. They cannot be merged into a single term, making&nbsp;40x + 4&nbsp;the simplest form of the original expression.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner6-2277.jpeg\" alt=\"\" class=\"wp-image-273393\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>The Correct Answer and Explanation is: The correct answer is&nbsp;40x + 4. To arrive at this answer, we must simplify the original algebraic expression shown in the image, which is&nbsp;40x + 43 &#8211; 39. The process of simplification in algebra involves combining &#8220;like terms.&#8221; Like terms are terms that have the same variable part raised [&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-273390","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273390","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=273390"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/273390\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=273390"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=273390"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=273390"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}