{"id":168107,"date":"2024-11-16T18:34:41","date_gmt":"2024-11-16T18:34:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=168107"},"modified":"2024-11-16T18:34:43","modified_gmt":"2024-11-16T18:34:43","slug":"write-and-evaluate-the-expression","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/write-and-evaluate-the-expression\/","title":{"rendered":"Write and evaluate the expression."},"content":{"rendered":"\n<p>Write and evaluate the expression. Then, select the correct answer.<br>ten times the sum of seven and a number, evaluate when j = 1<br>Replace With 10 Key Words<br>ten times the sum of seven a number X+7J)<br>A. 10 x 7+j; when j = 1, the value is 71<br>B . 7(10+j); when j = 1, the value is 77<br>C. 10(7-j); when j = 1, the value is 60<br>D. 10(7+j); when j = 1, the value is 80<\/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 given expression is described as &#8220;ten times the sum of seven and a number.&#8221; This means that we are multiplying the sum of 7 and a number by 10. To express this algebraically, let\u2019s define the unknown number as ( j ), and the expression would be:<\/p>\n\n\n\n<p>[<br>10 \\times (7 + j)<br>]<\/p>\n\n\n\n<p>This represents &#8220;ten times the sum of seven and the number ( j ).&#8221;<\/p>\n\n\n\n<p>Now, let\u2019s evaluate the expression when ( j = 1 ).<\/p>\n\n\n\n<p>Substitute ( j = 1 ) into the expression:<\/p>\n\n\n\n<p>[<br>10 \\times (7 + 1) = 10 \\times 8 = 80<br>]<\/p>\n\n\n\n<p>So, when ( j = 1 ), the value of the expression is 80.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Evaluation of the Given Choices:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Option A:<\/strong> ( 10 \\times (7 + j) ) when ( j = 1 ), the value is 71. This is incorrect because the correct value is 80, not 71.<\/li>\n\n\n\n<li><strong>Option B:<\/strong> ( 7 \\times (10 + j) ) when ( j = 1 ), the value is 77. This expression is incorrect because it changes the structure of the original problem and doesn&#8217;t reflect &#8220;ten times the sum of seven and a number.&#8221;<\/li>\n\n\n\n<li><strong>Option C:<\/strong> ( 10 \\times (7 &#8211; j) ) when ( j = 1 ), the value is 60. This is incorrect because it uses subtraction instead of addition, leading to a different value.<\/li>\n\n\n\n<li><strong>Option D:<\/strong> ( 10 \\times (7 + j) ) when ( j = 1 ), the value is 80. This is the correct expression and correctly gives the value 80 when ( j = 1 ).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Correct Answer:<\/h3>\n\n\n\n<p>The correct answer is <strong>D<\/strong>: ( 10 \\times (7 + j) ), and when ( j = 1 ), the value is <strong>80<\/strong>.<\/p>\n\n\n\n<p>This expression follows the structure described in the problem\u2014multiplying the sum of 7 and ( j ) by 10\u2014and the calculation is correct when ( j = 1 ).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write and evaluate the expression. Then, select the correct answer.ten times the sum of seven and a number, evaluate when j = 1Replace With 10 Key Wordsten times the sum of seven a number X+7J)A. 10 x 7+j; when j = 1, the value is 71B . 7(10+j); when j = 1, the value is [&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-168107","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168107","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=168107"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/168107\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=168107"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=168107"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=168107"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}