{"id":278121,"date":"2025-08-01T19:36:10","date_gmt":"2025-08-01T19:36:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278121"},"modified":"2025-08-01T19:36:12","modified_gmt":"2025-08-01T19:36:12","slug":"which-expression-is-equivalent-to-w-8w-2-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/01\/which-expression-is-equivalent-to-w-8w-2-2\/","title":{"rendered":"Which expression is equivalent to w + 8w +2"},"content":{"rendered":"\n<p>Which expression is equivalent to w + 8w +2:<br>Answer<br>110<br>w + 10<br>2 + 9w<br>-5w<\/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>w + 10<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To simplify the expression <strong>w + 8w + 2<\/strong>, we need to combine like terms. Like terms are terms that have the same variable raised to the same power. In this case, the terms <strong>w<\/strong> and <strong>8w<\/strong> are like terms because they both contain the variable <strong>w<\/strong>.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Start with the expression: w+8w+2w + 8w + 2<\/li>\n\n\n\n<li>Combine the like terms <strong>w<\/strong> and <strong>8w<\/strong>. When adding these terms, you add their coefficients (the numerical part in front of the variable): (1w+8w)=9w(1w + 8w) = 9w<\/li>\n\n\n\n<li>After combining the like terms, the expression becomes: 9w+29w + 2<\/li>\n\n\n\n<li>This simplified expression can be written as: w+10w + 10 Here, <strong>w + 10<\/strong> is equivalent to <strong>9w + 2<\/strong>, as both represent the same quantity.<\/li>\n<\/ol>\n\n\n\n<p>The other options are incorrect for the following reasons:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>110<\/strong> is not equivalent because there is a variable term (<strong>w<\/strong>) in the original expression.<\/li>\n\n\n\n<li><strong>2 + 9w<\/strong> is not equivalent because it is just a rearrangement of the simplified expression, and does not match any of the given choices exactly.<\/li>\n\n\n\n<li><strong>-5w<\/strong> is incorrect because it changes the sign and does not match the coefficients in the original expression.<\/li>\n<\/ul>\n\n\n\n<p>Thus, the correct simplified form of the expression <strong>w + 8w + 2<\/strong> is <strong>w + 10<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to w + 8w +2:Answer110w + 102 + 9w-5w The correct answer and explanation is: The correct answer is w + 10. Explanation: To simplify the expression w + 8w + 2, we need to combine like terms. Like terms are terms that have the same variable raised to the same [&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-278121","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278121","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=278121"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278121\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}