{"id":158523,"date":"2024-10-28T19:33:54","date_gmt":"2024-10-28T19:33:54","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=158523"},"modified":"2024-10-28T19:33:57","modified_gmt":"2024-10-28T19:33:57","slug":"which-expression-is-equivalent-to-4-82-2w-1-4w2-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/28\/which-expression-is-equivalent-to-4-82-2w-1-4w2-4\/","title":{"rendered":"Which expression is equivalent to 4.8+2.2w &#8211; 1.4w+2.4"},"content":{"rendered":"\n<p>Which expression is equivalent to 4.8+2.2w &#8211; 1.4w+2.4<br>A.0.4(6+2w)<br>B.0.8(9+w)<br>C.1.6(3+2w)<br>D.3.6(2+w)<\/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>To simplify the expression (4.8 + 2.2w &#8211; 1.4w + 2.4) and find its equivalent form, let&#8217;s go through each step carefully:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Combine Like Terms<\/h3>\n\n\n\n<p>In the expression (4.8 + 2.2w &#8211; 1.4w + 2.4), there are two types of terms: those with the variable (w) and constant terms. We can simplify the expression by combining like terms.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Combine terms with (w):<\/strong><br>[<br>2.2w &#8211; 1.4w = 0.8w<br>]<\/li>\n\n\n\n<li><strong>Combine the constants:<\/strong><br>[<br>4.8 + 2.4 = 7.2<br>]<\/li>\n<\/ol>\n\n\n\n<p>So, the expression simplifies to:<br>[<br>7.2 + 0.8w<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Factor the Expression<\/h3>\n\n\n\n<p>To match the simplified expression with one of the answer choices, let\u2019s factor out (0.8) from (7.2 + 0.8w):<br>[<br>7.2 + 0.8w = 0.8(9 + w)<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Check the Answer Choices<\/h3>\n\n\n\n<p>Looking at the answer choices:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> (0.4(6 + 2w))<\/li>\n\n\n\n<li><strong>Option B:<\/strong> (0.8(9 + w))<\/li>\n\n\n\n<li><strong>Option C:<\/strong> (1.6(3 + 2w))<\/li>\n\n\n\n<li><strong>Option D:<\/strong> (3.6(2 + w))<\/li>\n<\/ul>\n\n\n\n<p>The only option that matches our factored form (0.8(9 + w)) is <strong>Option B<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p>The correct answer is <strong>B. (0.8(9 + w))<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>The process of simplifying an algebraic expression involves combining like terms first, which reduces the number of terms in the expression. Here, the terms (2.2w) and (-1.4w) were combined to get (0.8w), while (4.8) and (2.4) were combined to yield (7.2). Factoring out the common term (0.8) from (7.2 + 0.8w) results in (0.8(9 + w)), which matches one of the answer choices. This method verifies that <strong>Option B<\/strong> is equivalent to the original expression and is therefore the correct answer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 4.8+2.2w &#8211; 1.4w+2.4A.0.4(6+2w)B.0.8(9+w)C.1.6(3+2w)D.3.6(2+w) The Correct Answer and Explanation is: To simplify the expression (4.8 + 2.2w &#8211; 1.4w + 2.4) and find its equivalent form, let&#8217;s go through each step carefully: Step 1: Combine Like Terms In the expression (4.8 + 2.2w &#8211; 1.4w + 2.4), there are two types [&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-158523","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158523","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=158523"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/158523\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=158523"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=158523"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=158523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}