{"id":271924,"date":"2025-07-26T08:18:22","date_gmt":"2025-07-26T08:18:22","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271924"},"modified":"2025-07-26T08:18:25","modified_gmt":"2025-07-26T08:18:25","slug":"which-expression-is-equivalent-to-9-8w-6-4-6-7w-1-3","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/which-expression-is-equivalent-to-9-8w-6-4-6-7w-1-3\/","title":{"rendered":"Which expression is equivalent to 9.8w + 6.4 + 6.7w -1.3"},"content":{"rendered":"\n<p>Which expression is equivalent to 9.8w + 6.4 + 6.7w -1.3?<br>Answer<br>A 21.6w<br>B 16.5w + 7.7<br>C 21.6<br>D 16.5w + 5.1<\/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: 16.5w + 5.1<\/strong>.<\/p>\n\n\n\n<p>To solve this, combine like terms from the expression 9.8w+6.4+6.7w\u22121.39.8w + 6.4 + 6.7w &#8211; 1.3. First, identify the like terms:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The terms with the variable ww are 9.8w9.8w and 6.7w6.7w.<\/li>\n\n\n\n<li>The constant terms are 6.46.4 and \u22121.3-1.3.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Combine the terms with ww<\/h3>\n\n\n\n<p>Add 9.8w9.8w and 6.7w6.7w: 9.8w+6.7w=16.5w9.8w + 6.7w = 16.5w<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Combine the constant terms<\/h3>\n\n\n\n<p>Add 6.46.4 and \u22121.3-1.3: 6.4\u22121.3=5.16.4 &#8211; 1.3 = 5.1<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Write the simplified expression<\/h3>\n\n\n\n<p>Now that the like terms are combined, the simplified expression is: 16.5w+5.116.5w + 5.1<\/p>\n\n\n\n<p>Thus, the correct answer is <strong>D: 16.5w + 5.1<\/strong>.<\/p>\n\n\n\n<p>This process of combining like terms is essential in simplifying algebraic expressions. By grouping together terms with the same variable and constants separately, you make the expression easier to work with, whether you&#8217;re solving for the variable or just simplifying the equation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 9.8w + 6.4 + 6.7w -1.3?AnswerA 21.6wB 16.5w + 7.7C 21.6D 16.5w + 5.1 The correct answer and explanation is: The correct answer is D: 16.5w + 5.1. To solve this, combine like terms from the expression 9.8w+6.4+6.7w\u22121.39.8w + 6.4 + 6.7w &#8211; 1.3. First, identify the like terms: Step [&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-271924","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271924","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=271924"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271924\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271924"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271924"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271924"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}