{"id":146583,"date":"2024-10-01T08:30:26","date_gmt":"2024-10-01T08:30:26","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=146583"},"modified":"2024-10-01T08:30:28","modified_gmt":"2024-10-01T08:30:28","slug":"translate-the-algebraic-expression-9x-into-an-equivalent-english-phrase","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/01\/translate-the-algebraic-expression-9x-into-an-equivalent-english-phrase\/","title":{"rendered":"Translate the algebraic expression 9x into an equivalent English phrase"},"content":{"rendered":"\n<p>Translate the algebraic expression 9x into an equivalent English phrase. Which of the following options correctly represents the meaning of 9x? The difference of nine and a number, The product of nine and a number, The sum of nine and a number, The quotient.<\/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>The algebraic expression ( 9x ) translates into English as <strong>\u201cthe product of nine and a number.\u201d<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To break this down, let\u2019s analyze the components of the expression:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Understanding Variables<\/strong>: In the expression ( 9x ), the variable ( x ) represents an unknown number. Variables are commonly used in algebra to denote numbers that can vary or change.<\/li>\n\n\n\n<li><strong>Coefficient<\/strong>: The number ( 9 ) is known as the coefficient. It indicates how many times the variable ( x ) is being multiplied. In this case, it shows that ( x ) is being multiplied by nine.<\/li>\n\n\n\n<li><strong>Terminology<\/strong>:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Product<\/strong>: In mathematics, the term &#8220;product&#8221; specifically refers to the result of multiplying two or more numbers together. Therefore, when we say &#8220;the product of nine and a number,&#8221; we are precisely describing the operation being performed in the expression ( 9x ).<\/li>\n\n\n\n<li><strong>Difference, Sum, Quotient<\/strong>: The other options provided in the question refer to different mathematical operations:\n<ul class=\"wp-block-list\">\n<li><strong>Difference<\/strong>: This term is used in subtraction, indicating the result when one number is subtracted from another. For example, &#8220;the difference of nine and a number&#8221; would be written as ( 9 &#8211; x ).<\/li>\n\n\n\n<li><strong>Sum<\/strong>: This term is used in addition. &#8220;The sum of nine and a number&#8221; translates to ( 9 + x ).<\/li>\n\n\n\n<li><strong>Quotient<\/strong>: This term refers to division. The phrase &#8220;the quotient&#8221; indicates that one number is being divided by another, which is not represented in the expression ( 9x ).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p>Thus, since ( 9x ) clearly describes a multiplication operation involving nine and a variable, the correct English phrase that represents the meaning of ( 9x ) is \u201cthe product of nine and a number.\u201d<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Translate the algebraic expression 9x into an equivalent English phrase. Which of the following options correctly represents the meaning of 9x? The difference of nine and a number, The product of nine and a number, The sum of nine and a number, The quotient. The Correct Answer and Explanation is : The algebraic expression ( [&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-146583","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146583","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=146583"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/146583\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=146583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=146583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=146583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}