{"id":227611,"date":"2025-06-06T09:10:45","date_gmt":"2025-06-06T09:10:45","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=227611"},"modified":"2025-06-06T09:10:47","modified_gmt":"2025-06-06T09:10:47","slug":"how-do-you-answer-this-problem-4-2v-5-6-5v","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/06\/how-do-you-answer-this-problem-4-2v-5-6-5v\/","title":{"rendered":"How do you answer this problem: 4.2v – 5 – 6.5v"},"content":{"rendered":"\n

How do you answer this problem: 4.2v – 5 – 6.5v?<\/p>\n\n\n\n

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

To solve the algebraic expression:<\/p>\n\n\n\n

4.2v – 5 – 6.5v<\/strong><\/p>\n\n\n\n

Step-by-step solution:<\/h3>\n\n\n\n
    \n
  1. Group like terms<\/strong>:
    Like terms are terms that have the same variable part. Here, 4.2v<\/code> and -6.5v<\/code> are like terms because they both contain the variable v<\/code>. The constant -5<\/code> stands alone.<\/li>\n\n\n\n
  2. Combine the variable terms<\/strong>: 4.2v\u22126.5v=\u22122.3v4.2v – 6.5v = -2.3v4.2v\u22126.5v=\u22122.3v<\/li>\n\n\n\n
  3. Now rewrite the expression with the simplified variable term<\/strong>: \u22122.3v\u22125-2.3v – 5\u22122.3v\u22125<\/li>\n<\/ol>\n\n\n\n

    This is the simplified form of the expression:
    Answer: \u22122.3v\u22125-2.3v – 5\u22122.3v\u22125<\/strong><\/p>\n\n\n\n

    \n\n\n\n

    Explanation:<\/h3>\n\n\n\n

    In algebra, simplifying expressions is a fundamental skill. The expression provided, 4.2v – 5 – 6.5v<\/strong>, includes two types of terms: variable terms (4.2v<\/code> and -6.5v<\/code>) and a constant term (-5<\/code>). The goal is to simplify the expression by combining like terms.<\/p>\n\n\n\n

    Like terms<\/strong> are terms that have the same variable raised to the same power. Here, both 4.2v<\/code> and -6.5v<\/code> are like terms because they involve the same variable v<\/code>. We can add or subtract like terms by combining their coefficients (the numbers in front of the variables).<\/p>\n\n\n\n

    To combine 4.2v<\/code> and -6.5v<\/code>, subtract the coefficients:4.2\u22126.5=\u22122.34.2 – 6.5 = -2.34.2\u22126.5=\u22122.3<\/p>\n\n\n\n

    So, 4.2v - 6.5v<\/code> becomes -2.3v<\/code>.<\/p>\n\n\n\n

    The constant term -5<\/code> is not a like term with v<\/code> terms, so it cannot be combined with them. It remains separate in the simplified expression.<\/p>\n\n\n\n

    Thus, the simplified expression is:\u22122.3v\u22125-2.3v – 5\u22122.3v\u22125<\/p>\n\n\n\n

    This expression means that the variable part is reduced to negative 2.3 times v<\/code>, and 5 is subtracted afterward. This simplified form is easier to work with and is crucial in solving equations, graphing lines, or performing further algebraic operations. Mastering this process helps develop strong problem-solving skills and prepares students for more complex math in the future.<\/p>\n\n\n\n

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

    How do you answer this problem: 4.2v – 5 – 6.5v? The Correct Answer and Explanation is: To solve the algebraic expression: 4.2v – 5 – 6.5v Step-by-step solution: This is the simplified form of the expression:Answer: \u22122.3v\u22125-2.3v – 5\u22122.3v\u22125 Explanation: In algebra, simplifying expressions is a fundamental skill. The expression provided, 4.2v – 5 […]<\/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-227611","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227611","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=227611"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/227611\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=227611"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=227611"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=227611"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}