{"id":223887,"date":"2025-06-02T12:55:36","date_gmt":"2025-06-02T12:55:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=223887"},"modified":"2025-06-02T12:55:38","modified_gmt":"2025-06-02T12:55:38","slug":"how-many-terms-are-there-in-the-expression-7xa%c2%b2-5x-5","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/02\/how-many-terms-are-there-in-the-expression-7xa%c2%b2-5x-5\/","title":{"rendered":"How many terms are there in the expression 7x\u00c2\u00b2 + 5x – 5"},"content":{"rendered":"\n

How many terms are there in the expression 7x\u00c2\u00b2 + 5x – 5<\/p>\n\n\n\n

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

The expression 7x\u00b2 + 5x – 5<\/strong> contains 3 terms<\/strong>.<\/p>\n\n\n\n

\n\n\n\n

\u2705 Correct Answer: 3 terms<\/strong><\/h3>\n\n\n\n
\n\n\n\n

\ud83d\udcd8 Explanation <\/h3>\n\n\n\n

In algebra, an expression<\/strong> is made up of one or more terms<\/strong>, which are separated by plus (+)<\/strong> or minus (\u2212)<\/strong> signs. Each term can be a number, a variable, or a combination of both (called a coefficient<\/strong> and variable<\/strong>).<\/p>\n\n\n\n

Let\u2019s break down the expression:<\/p>\n\n\n\n

7x\u00b2 + 5x \u2212 5<\/strong><\/p>\n\n\n\n

    \n
  1. First Term: 7x\u00b2<\/strong>\n
      \n
    • This term consists of a coefficient 7<\/strong> and a variable part x\u00b2<\/strong>.<\/li>\n\n\n\n
    • It\u2019s a quadratic term<\/strong> because the exponent of x is 2.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • Second Term: +5x<\/strong>\n
        \n
      • This is a linear term<\/strong>.<\/li>\n\n\n\n
      • It has a coefficient 5<\/strong> and a variable x<\/strong> with an exponent of 1.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
      • Third Term: \u22125<\/strong>\n
          \n
        • This is a constant term<\/strong>, since it has no variable.<\/li>\n\n\n\n
        • Constants are also considered terms.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n

          Each of these is counted as one separate term<\/strong>. The signs between them (plus or minus) are what tell us the terms are distinct.<\/p>\n\n\n\n

          So, in total:<\/p>\n\n\n\n

            \n
          • 7x\u00b2 \u2192 term 1<\/li>\n\n\n\n
          • +5x \u2192 term 2<\/li>\n\n\n\n
          • \u22125 \u2192 term 3<\/li>\n<\/ul>\n\n\n\n

            Thus, there are three terms<\/strong> in the expression.<\/p>\n\n\n\n

            \ud83d\udca1 Why Understanding Terms is Important:<\/h4>\n\n\n\n
              \n
            • Knowing the number of terms helps in simplifying, factoring, and solving equations.<\/li>\n\n\n\n
            • It also helps identify the type of polynomial. In this case, 7x\u00b2 + 5x \u2212 5<\/strong> is a trinomial<\/strong>, because it has three terms<\/strong> (“tri” means three).<\/li>\n<\/ul>\n\n\n\n
              \n\n\n\n

              \ud83d\udcdd Summary:<\/h3>\n\n\n\n
                \n
              • A term<\/strong> is a part of an expression separated by + or \u2212 signs.<\/li>\n\n\n\n
              • The expression 7x\u00b2 + 5x \u2212 5<\/strong> contains three terms:\n
                  \n
                1. 7x\u00b2<\/li>\n\n\n\n
                2. +5x<\/li>\n\n\n\n
                3. \u22125<\/li>\n<\/ol>\n<\/li>\n\n\n\n
                4. So, the correct answer is: 3 terms<\/strong>.<\/li>\n<\/ul>\n\n\n\n
                  \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

                  How many terms are there in the expression 7x\u00c2\u00b2 + 5x – 5 The Correct Answer and Explanation is: The expression 7x\u00b2 + 5x – 5 contains 3 terms. \u2705 Correct Answer: 3 terms \ud83d\udcd8 Explanation In algebra, an expression is made up of one or more terms, which are separated by plus (+) or […]<\/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-223887","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223887","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=223887"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/223887\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=223887"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=223887"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=223887"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}