{"id":168794,"date":"2024-11-18T12:02:03","date_gmt":"2024-11-18T12:02:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168794"},"modified":"2024-11-18T12:02:05","modified_gmt":"2024-11-18T12:02:05","slug":"an-expression-that-equivalent-to-12x-8","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/18\/an-expression-that-equivalent-to-12x-8\/","title":{"rendered":"An expression that equivalent to 12x + 8"},"content":{"rendered":"\n<p>An expression that equivalent to 12x + 8<\/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 find an expression equivalent to ( 12x + 8 ), we can factor the expression. The goal is to express ( 12x + 8 ) in a different, but equivalent, form. Let&#8217;s go through the steps to achieve this:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Identify common factors<\/h3>\n\n\n\n<p>Look for a common factor in both terms of the expression. The two terms are ( 12x ) and ( 8 ).<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( 12x ) can be broken down as ( 12 \\cdot x ).<\/li>\n\n\n\n<li>( 8 ) can be written as ( 2 \\cdot 4 ) or just ( 8 ).<\/li>\n<\/ul>\n\n\n\n<p>The greatest common factor (GCF) between 12 and 8 is 4, because 4 is the largest number that divides both 12 and 8 evenly.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Factor out the GCF<\/h3>\n\n\n\n<p>Now, we factor out the common factor of 4 from both terms of the expression:<\/p>\n\n\n\n<p>[<br>12x + 8 = 4(3x + 2)<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Verify the factorization<\/h3>\n\n\n\n<p>To check if the factorization is correct, we can distribute the 4 back into the parentheses:<\/p>\n\n\n\n<p>[<br>4(3x + 2) = 4 \\cdot 3x + 4 \\cdot 2 = 12x + 8<br>]<\/p>\n\n\n\n<p>This confirms that the factored form, ( 4(3x + 2) ), is indeed equivalent to the original expression ( 12x + 8 ).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 4: Conclusion<\/h3>\n\n\n\n<p>Therefore, an expression equivalent to ( 12x + 8 ) is ( 4(3x + 2) ).<\/p>\n\n\n\n<p>This method of factoring is useful because it allows us to express the original expression in a more simplified form that might be easier to manipulate in algebraic operations. Factoring out the greatest common factor is often a helpful first step in solving algebraic problems, as it simplifies expressions and can make further operations easier.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>An expression that equivalent to 12x + 8 The Correct Answer and Explanation is: To find an expression equivalent to ( 12x + 8 ), we can factor the expression. The goal is to express ( 12x + 8 ) in a different, but equivalent, form. Let&#8217;s go through the steps to achieve this: 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-168794","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168794","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=168794"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168794\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168794"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168794"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168794"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}