{"id":275140,"date":"2025-07-28T15:45:29","date_gmt":"2025-07-28T15:45:29","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=275140"},"modified":"2025-07-28T15:45:32","modified_gmt":"2025-07-28T15:45:32","slug":"which-expression-is-equivalent-to-5-4t-6-7-1-8t-4-3-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/28\/which-expression-is-equivalent-to-5-4t-6-7-1-8t-4-3-3\/","title":{"rendered":"Which expression is equivalent to 5.4t + 6.7 + 1.8t &#8211; 4.3"},"content":{"rendered":"\n<p>Which expression is equivalent to 5.4t + 6.7 + 1.8t &#8211; 4.3<br>A 9.6t<br>B 9.6<br>C 3.6t + 11<br>D 7.2t + 2.4<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The correct answer is <strong>D. 7.2t + 2.4<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>Let&#8217;s break down the given expression:<br><strong>5.4t + 6.7 + 1.8t &#8211; 4.3<\/strong><\/p>\n\n\n\n<p>First, group like terms. Like terms are terms that contain the same variable or constant. In this case, the terms with the variable <em>t<\/em> are <strong>5.4t<\/strong> and <strong>1.8t<\/strong>, and the constant terms are <strong>6.7<\/strong> and <strong>-4.3<\/strong>.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Combine the <em>t<\/em> terms:<br><strong>5.4t + 1.8t<\/strong> = <strong>7.2t<\/strong><\/li>\n\n\n\n<li>Combine the constant terms:<br><strong>6.7 &#8211; 4.3<\/strong> = <strong>2.4<\/strong><\/li>\n<\/ol>\n\n\n\n<p>Now, rewrite the expression with the simplified terms:<br><strong>7.2t + 2.4<\/strong><\/p>\n\n\n\n<p>Thus, the equivalent expression is <strong>7.2t + 2.4<\/strong>, which matches option <strong>D<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Why the other options are incorrect:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A (9.6t)<\/strong>: This is incorrect because the <em>t<\/em> terms (5.4t and 1.8t) add up to 7.2t, not 9.6t.<\/li>\n\n\n\n<li><strong>Option B (9.6)<\/strong>: This is incorrect because it does not account for the <em>t<\/em> variable in the original expression. The expression contains a variable term, so the answer must reflect that.<\/li>\n\n\n\n<li><strong>Option C (3.6t + 11)<\/strong>: This is incorrect because neither the <em>t<\/em> terms nor the constant terms add up to 3.6t and 11. The correct <em>t<\/em> term is 7.2t and the constant term is 2.4.<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>D. 7.2t + 2.4<\/strong> is the only correct choice.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 5.4t + 6.7 + 1.8t &#8211; 4.3A 9.6tB 9.6C 3.6t + 11D 7.2t + 2.4 The correct answer and explanation is: The correct answer is D. 7.2t + 2.4. Explanation: Let&#8217;s break down the given expression:5.4t + 6.7 + 1.8t &#8211; 4.3 First, group like terms. Like terms are terms [&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-275140","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275140","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=275140"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275140\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=275140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=275140"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=275140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}