{"id":24399,"date":"2025-06-18T14:22:57","date_gmt":"2025-06-18T14:22:57","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24399"},"modified":"2025-06-18T14:22:58","modified_gmt":"2025-06-18T14:22:58","slug":"write-an-algebraic-expression-for-the-verbal-expression","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-an-algebraic-expression-for-the-verbal-expression\/","title":{"rendered":"Write an algebraic expression for the verbal expression"},"content":{"rendered":"\n<p>Write an algebraic expression for the verbal expression: 18 decreased by 3 times d.<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Answer:<\/strong><\/p>\n\n\n\n<p>The algebraic expression for &#8220;18 decreased by 3 times d&#8221; is: 18\u22123d18 &#8211; 3d<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Explanation:<\/strong><\/p>\n\n\n\n<p>When translating verbal expressions into algebraic expressions, it&#8217;s important to identify key phrases and understand their mathematical meanings.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify the numbers and variables:<\/strong>\n<ul class=\"wp-block-list\">\n<li>The number 18 is given as a starting value.<\/li>\n\n\n\n<li>The variable involved is dd.<\/li>\n\n\n\n<li>The phrase &#8220;3 times dd&#8221; means multiply 3 by dd, which is written as 3d3d.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Understand the operation &#8220;decreased by&#8221;:<\/strong> The phrase &#8220;decreased by&#8221; means subtraction. So, &#8220;18 decreased by something&#8221; translates to starting with 18 and subtracting that &#8220;something.&#8221;<\/li>\n\n\n\n<li><strong>Combine the components:<\/strong> Putting it all together, the phrase &#8220;18 decreased by 3 times dd&#8221; means: 18\u22123d18 &#8211; 3d<\/li>\n<\/ol>\n\n\n\n<p>This expression represents a value that starts at 18 and then reduces by three times the amount of dd.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Why this expression is correct:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The number 18 is the initial amount.<\/li>\n\n\n\n<li>&#8220;3 times dd&#8221; translates to multiplication: 3\u00d7d=3d3 \\times d = 3d.<\/li>\n\n\n\n<li>&#8220;Decreased by&#8221; indicates subtraction, so we subtract 3d3d from 18.<\/li>\n\n\n\n<li>Therefore, the expression 18\u22123d18 &#8211; 3d correctly captures the verbal statement.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p><strong>Additional notes:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If dd is a positive number, the expression 18\u22123d18 &#8211; 3d will be less than 18 because you are subtracting something positive.<\/li>\n\n\n\n<li>If dd is zero, the expression equals 18.<\/li>\n\n\n\n<li>If dd is negative, subtracting 3d3d is like adding 3\u2223d\u22233|d|, so the expression can increase beyond 18.<\/li>\n<\/ul>\n\n\n\n<p>Understanding these translations helps you interpret real-world problems and express them algebraically, which is foundational in solving equations, simplifying expressions, and modeling situations mathematically.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Write an algebraic expression for the verbal expression: 18 decreased by 3 times d. The correct answer and explanation is: Answer: The algebraic expression for &#8220;18 decreased by 3 times d&#8221; is: 18\u22123d18 &#8211; 3d Explanation: When translating verbal expressions into algebraic expressions, it&#8217;s important to identify key phrases and understand their mathematical meanings. This [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24399","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24399","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24399"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24399\/revisions"}],"predecessor-version":[{"id":24400,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24399\/revisions\/24400"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24399"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24399"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24399"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}