{"id":145243,"date":"2024-09-26T13:24:13","date_gmt":"2024-09-26T13:24:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=145243"},"modified":"2024-09-26T13:24:16","modified_gmt":"2024-09-26T13:24:16","slug":"which-expression-is-equivalent-to-6x-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/26\/which-expression-is-equivalent-to-6x-4\/","title":{"rendered":"Which expression is equivalent to 6(x-4)"},"content":{"rendered":"\n<p>Which expression is equivalent to 6(x-4)?<br>O-6x + 4<br>6x-4<br>O6x-24<br>O-6x + 24<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>To determine which expression is equivalent to (6(x &#8211; 4)), we can apply the distributive property, which states that (a(b + c) = ab + ac). In this case, we can treat (6) as (a) and (x &#8211; 4) as (b + c).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-Step Solution<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the Expression<\/strong>:<br>[<br>6(x &#8211; 4)<br>]<\/li>\n\n\n\n<li><strong>Apply the Distributive Property<\/strong>:<br>[<br>6(x &#8211; 4) = 6 \\cdot x + 6 \\cdot (-4)<br>]<\/li>\n\n\n\n<li><strong>Calculate Each Term<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The first term: (6 \\cdot x = 6x)<\/li>\n\n\n\n<li>The second term: (6 \\cdot (-4) = -24)<\/li>\n<\/ul>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Combine the Terms<\/strong>:<br>[<br>6x &#8211; 24<br>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p>The expression (6(x &#8211; 4)) simplifies to (6x &#8211; 24).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Evaluate the Options<\/h3>\n\n\n\n<p>Now, let\u2019s compare this with the given options:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>(-6x + 4)<\/li>\n\n\n\n<li>(6x &#8211; 4)<\/li>\n\n\n\n<li>(6x &#8211; 24) <strong>(Correct Answer)<\/strong><\/li>\n\n\n\n<li>(-6x + 24)<\/li>\n<\/ol>\n\n\n\n<p>The correct answer is <strong>(6x &#8211; 24)<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of Other Options<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option 1: (-6x + 4)<\/strong>: This expression is not equivalent because it represents a different linear equation. The coefficients and constants do not match our derived expression.<\/li>\n\n\n\n<li><strong>Option 2: (6x &#8211; 4)<\/strong>: While it shares the (6x) term, the constant (-4) differs from (-24), so it cannot be equivalent.<\/li>\n\n\n\n<li><strong>Option 4: (-6x + 24)<\/strong>: This is also not equivalent, as it has a negative coefficient for (x) and a positive constant, diverging from the correct result.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Summary<\/h3>\n\n\n\n<p>Thus, through the application of the distributive property, we find that the equivalent expression to (6(x &#8211; 4)) is indeed (6x &#8211; 24). This reinforces the importance of understanding how to manipulate algebraic expressions correctly.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which expression is equivalent to 6(x-4)?O-6x + 46x-4O6x-24O-6x + 24 The Correct Answer and Explanation is : To determine which expression is equivalent to (6(x &#8211; 4)), we can apply the distributive property, which states that (a(b + c) = ab + ac). In this case, we can treat (6) as (a) and (x &#8211; [&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-145243","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145243","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=145243"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145243\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145243"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145243"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145243"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}