{"id":271737,"date":"2025-07-26T06:31:50","date_gmt":"2025-07-26T06:31:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=271737"},"modified":"2025-07-26T06:31:53","modified_gmt":"2025-07-26T06:31:53","slug":"which-expression-is-equivalent-to-9-8w-6-4-6-7w-1-3i","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/26\/which-expression-is-equivalent-to-9-8w-6-4-6-7w-1-3i\/","title":{"rendered":"Which expression is equivalent to 9.8w + 6.4 + 6.7w &#8211; 1.3i"},"content":{"rendered":"\n<p>Which expression is equivalent to 9.8w + 6.4 + 6.7w &#8211; 1.3i<br>21.6tw<br>16.5w + 7.7<br>21.6<br>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>To simplify the expression 9.8w+6.4+6.7w\u22121.3i9.8w + 6.4 + 6.7w &#8211; 1.3i, you need to combine like terms.<\/p>\n\n\n\n<p>First, group the terms involving ww, which are 9.8w9.8w and 6.7w6.7w.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>9.8w+6.7w=16.5w9.8w + 6.7w = 16.5w<\/li>\n<\/ul>\n\n\n\n<p>Next, group the constant terms, which are 6.46.4 and \u22121.3i-1.3i. These are not like terms, so they cannot be combined. Therefore, the expression simplifies to:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>16.5w+6.4\u22121.3i16.5w + 6.4 &#8211; 1.3i<\/li>\n<\/ul>\n\n\n\n<p>However, none of the provided answer choices directly match this form. But if we ignore the term involving ii, we would get 16.5w+6.416.5w + 6.4.<\/p>\n\n\n\n<p>So, based on the given options, the closest match would be:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>16.5w + 7.7<\/strong> (This is the closest option, though it doesn&#8217;t exactly match the simplified expression.)<\/li>\n<\/ul>\n\n\n\n<p>The presence of ii in the expression means the problem might involve multiple variables or be a part of a more complex equation, but without further context or clarification, we can&#8217;t combine the ii term with the others. Therefore, it is important to focus on the like terms that can actually be combined.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 9.8w + 6.4 + 6.7w &#8211; 1.3i21.6tw16.5w + 7.721.616.5w + 5.1 The correct answer and explanation is: To simplify the expression 9.8w+6.4+6.7w\u22121.3i9.8w + 6.4 + 6.7w &#8211; 1.3i, you need to combine like terms. First, group the terms involving ww, which are 9.8w9.8w and 6.7w6.7w. Next, group the constant 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-271737","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271737","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=271737"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/271737\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=271737"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=271737"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=271737"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}