{"id":278720,"date":"2025-08-02T10:22:50","date_gmt":"2025-08-02T10:22:50","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=278720"},"modified":"2025-08-02T10:22:52","modified_gmt":"2025-08-02T10:22:52","slug":"which-expression-is-equivalent-to-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/which-expression-is-equivalent-to-4\/","title":{"rendered":"Which expression is equivalent to"},"content":{"rendered":"\n<p>Which expression is equivalent to <\/p>\n\n\n\n<p>-9+f+2f ? <\/p>\n\n\n\n<p>-8+2f -6f <\/p>\n\n\n\n<p> -8f <\/p>\n\n\n\n<p>-9+3f<\/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 expression is <strong>-9 + 3f<\/strong>.<\/p>\n\n\n\n<p>Explanation:<\/p>\n\n\n\n<p>When simplifying an algebraic expression, the goal is to combine like terms. Like terms are terms that have the same variable raised to the same power. Here, the only variable is <strong>f<\/strong>, so we focus on the terms that contain <strong>f<\/strong>.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>The given expression is <strong>-9 + f + 2f<\/strong>.<\/li>\n\n\n\n<li>The constant term is <strong>-9<\/strong> (this does not contain the variable <strong>f<\/strong>).<\/li>\n\n\n\n<li>The terms with the variable <strong>f<\/strong> are <strong>f<\/strong> and <strong>2f<\/strong>.<\/li>\n\n\n\n<li>These two terms can be combined because they are like terms. Specifically, <strong>f<\/strong> is equivalent to <strong>1f<\/strong>, so: f+2f=(1f)+(2f)=3ff + 2f = (1f) + (2f) = 3f<\/li>\n\n\n\n<li>Now the expression becomes: \u22129+3f-9 + 3f This is the simplified form of the expression.<\/li>\n<\/ol>\n\n\n\n<p>The other options:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>-8 + 2f &#8211; 6f<\/strong> involves combining like terms on the variable side, but the coefficients do not match what we need. After combining <strong>2f<\/strong> and <strong>-6f<\/strong>, we get <strong>-4f<\/strong>, which is incorrect.<\/li>\n\n\n\n<li><strong>-8f<\/strong> is not correct because there\u2019s no way to combine terms that result in a coefficient of <strong>-8<\/strong> for <strong>f<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p>Thus, <strong>-9 + 3f<\/strong> is the correct simplified expression.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to -9+f+2f ? -8+2f -6f -8f -9+3f The correct answer and explanation is: The correct expression is -9 + 3f. Explanation: When simplifying an algebraic expression, the goal is to combine like terms. Like terms are terms that have the same variable raised to the same power. Here, the only variable [&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-278720","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278720","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=278720"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/278720\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=278720"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=278720"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=278720"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}