{"id":279015,"date":"2025-08-02T15:29:59","date_gmt":"2025-08-02T15:29:59","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=279015"},"modified":"2025-08-02T15:30:09","modified_gmt":"2025-08-02T15:30:09","slug":"write-an-algebraic-expression-for-each-verbal-expression-below-then-use-your-expressions-to-efiminate-the-suspects-and-solve-the-mystery","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/08\/02\/write-an-algebraic-expression-for-each-verbal-expression-below-then-use-your-expressions-to-efiminate-the-suspects-and-solve-the-mystery\/","title":{"rendered":"\u00a0Write an algebraic expression for each verbal expression below, then use your expressions to efiminate the suspects and solve the mystery."},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Of course. Based on the provided image, the question is number 10.<\/p>\n\n\n\n

The correct answer is C: 80\/x – 10<\/strong><\/p>\n\n\n\n

Here is a detailed explanation of how to arrive at this answer.<\/p>\n\n\n\n

To solve this problem, you must translate the verbal phrase “10 less than the quotient of 80 and a number x” into a mathematical expression. The most effective way to do this is to break the phrase down into smaller, more manageable parts.<\/p>\n\n\n\n

First, let’s identify the core operation. The phrase contains “the quotient of 80 and a number x”. The word “quotient” signifies the result of a division. In mathematics, when you see “the quotient of A and B”, it means A is divided by B, which can be written as A \u00f7 B or, more commonly in algebra, as the fraction A\/B. In this specific case, A is 80 and B is “a number x”. Therefore, this part of the phrase translates to 80\/x.<\/p>\n\n\n\n

Next, we must address the first part of the phrase, “10 less than”. This is a common phrase in algebraic translation that often causes confusion. It indicates subtraction. However, the order is very important. “10 less than” a certain value means you start with that value and then subtract 10 from it. For example, “10 less than 25” is calculated as 25 – 10, which equals 15. The phrase essentially reverses the order of the terms as they appear in the sentence.<\/p>\n\n\n\n

Now, we can combine the two parts. We are asked to find “10 less than” the expression we already identified, which is 80\/x. Following the rule we just established, we take the expression 80\/x and subtract 10 from it.<\/p>\n\n\n\n

This gives us the final algebraic expression: 80\/x – 10<\/strong>.<\/p>\n\n\n\n

This matches option C perfectly. Option A, 10 – 80\/x, is incorrect because it subtracts the quotient from 10, not the other way around. Option B uses addition, which would correspond to “10 more than”. Option D uses incorrect operations entirely.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

The Correct Answer and Explanation is: Of course. Based on the provided image, the question is number 10. The correct answer is C: 80\/x – 10 Here is a detailed explanation of how to arrive at this answer. To solve this problem, you must translate the verbal phrase “10 less than the quotient of 80 and […]<\/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-279015","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279015","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=279015"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/279015\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=279015"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=279015"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=279015"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}