{"id":162269,"date":"2024-11-06T16:48:02","date_gmt":"2024-11-06T16:48:02","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=162269"},"modified":"2024-11-06T16:48:05","modified_gmt":"2024-11-06T16:48:05","slug":"six-times-the-sum-of-a-number-and-four","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/06\/six-times-the-sum-of-a-number-and-four\/","title":{"rendered":"Six times the sum of a number and four"},"content":{"rendered":"\n<p>Six times the sum of a number and four<\/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>Let&#8217;s go through the math first.<\/p>\n\n\n\n<p>Let the unknown number be represented by ( x ).<\/p>\n\n\n\n<p>According to the question:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Six times the sum of a number and four<\/p>\n<\/blockquote>\n\n\n\n<p>This means we add four to the number ( x ), and then multiply the sum by six. So, we can represent this algebraically as:<\/p>\n\n\n\n<p>[<br>6 \\times (x + 4)<br>]<\/p>\n\n\n\n<p>To simplify, we distribute the 6 across the terms inside the parentheses:<\/p>\n\n\n\n<p>[<br>6 \\times (x + 4) = 6x + 24<br>]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation of the Steps<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding &#8220;the sum of a number and four&#8221;:<\/strong> When we say &#8220;the sum of a number and four,&#8221; we mean that we are adding 4 to the unknown number, ( x ). In algebra, this sum can be written as ( x + 4 ). The parentheses around ( x + 4 ) are crucial because they group these terms together, indicating that we should perform operations on this entire quantity.<\/li>\n\n\n\n<li><strong>Multiplying the Sum by Six:<\/strong> The phrase &#8220;six times the sum&#8221; indicates that we should multiply the entire expression ( x + 4 ) by six. This multiplication is written as ( 6 \\times (x + 4) ).<\/li>\n\n\n\n<li><strong>Distributing the Six:<\/strong> To simplify, we use the distributive property, which tells us that ( a(b + c) = ab + ac ). Applying this to our expression, we get:<br>[<br>6 \\times (x + 4) = 6x + 24<br>]<\/li>\n\n\n\n<li><strong>Result:<\/strong> After simplifying, the expression ( 6(x + 4) ) becomes ( 6x + 24 ). This is the final, simplified answer.<\/li>\n<\/ol>\n\n\n\n<p>This expression can now be used in an equation if we\u2019re solving for ( x ) or as part of a larger problem. In general, understanding how to translate words into algebraic expressions and then simplify is a key skill in math, as it allows us to work with unknown quantities and find solutions in a structured, logical way.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Six times the sum of a number and four The Correct Answer and Explanation is : Let&#8217;s go through the math first. Let the unknown number be represented by ( x ). According to the question: Six times the sum of a number and four This means we add four to the number ( x [&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-162269","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162269","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=162269"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/162269\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=162269"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=162269"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=162269"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}