{"id":224407,"date":"2025-06-03T05:39:42","date_gmt":"2025-06-03T05:39:42","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=224407"},"modified":"2025-06-03T05:39:44","modified_gmt":"2025-06-03T05:39:44","slug":"each-question-sandra-answers-incorrectly-changes-her-overall-score-by","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/03\/each-question-sandra-answers-incorrectly-changes-her-overall-score-by\/","title":{"rendered":"Each question Sandra answers incorrectly changes her overall score by"},"content":{"rendered":"\n

Each question Sandra answers incorrectly changes her overall score by<\/p>\n\n\n\n

points. Sandra’s overall score was<\/p>\n\n\n\n

points, and then she answered the last question incorrectly. What was Sandra’s final score<\/p>\n\n\n\n

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

\n\n\n\n

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

This question tests your understanding of adding and subtracting rational numbers<\/strong> (fractions and mixed numbers), especially negative numbers<\/strong>.<\/p>\n\n\n\n

\ud83d\udd22 Step 1: Understand the given values<\/h4>\n\n\n\n
    \n
  • Sandra\u2019s current score is \u22124\u00bd<\/strong> points.<\/li>\n\n\n\n
  • Each incorrect answer changes the score by \u2212\u00be<\/strong> points.<\/li>\n\n\n\n
  • She just answered a question incorrectly<\/strong>, so we subtract \u00be<\/strong> from her current score.<\/li>\n<\/ul>\n\n\n\n

    This becomes a problem of adding two negative numbers<\/strong>: Final Score=\u2212412+(\u221234)\\text{Final Score} = -4\\frac{1}{2} + (-\\frac{3}{4})<\/p>\n\n\n\n

    \n\n\n\n

    \u270d\ufe0f Step 2: Convert to improper fractions<\/h4>\n\n\n\n
      \n
    • \u2212412=\u221292-4\\frac{1}{2} = -\\frac{9}{2}<\/li>\n\n\n\n
    • \u221234-\\frac{3}{4} stays the same<\/li>\n<\/ul>\n\n\n\n

      To add them, they need a common denominator<\/strong>.<\/p>\n\n\n\n

        \n
      • The least common denominator of 2 and 4 is 4.<\/li>\n\n\n\n
      • So, \u221292=\u2212184-\\frac{9}{2} = -\\frac{18}{4}<\/li>\n<\/ul>\n\n\n\n

        Now add: \u2212184+(\u221234)=\u2212214-\\frac{18}{4} + (-\\frac{3}{4}) = -\\frac{21}{4}<\/p>\n\n\n\n

        \n\n\n\n

        \ud83e\uddee Step 3: Convert back to mixed number<\/h4>\n\n\n\n

        \u2212214=\u2212514-\\frac{21}{4} = -5\\frac{1}{4}<\/p>\n\n\n\n

        So, Sandra\u2019s final score is: \u2212514\\boxed{-5\\frac{1}{4}}<\/p>\n\n\n\n

        \n\n\n\n

        \ud83d\udca1 Why is the answer negative?<\/h3>\n\n\n\n

        Since Sandra already had a negative score<\/strong>, and she lost more points for answering incorrectly, her score became even more negative<\/strong>. That\u2019s why we\u2019re adding two negative numbers<\/strong>\u2014you\u2019re moving further left<\/strong> on the number line.<\/p>\n\n\n\n

        \n\n\n\n

        \u2705 Summary<\/h3>\n\n\n\n
          \n
        • Started with \u22124\u00bd<\/strong><\/li>\n\n\n\n
        • Lost \u00be<\/strong> for a wrong answer<\/li>\n\n\n\n
        • Final score: \u22125\u00bc<\/strong><\/li>\n<\/ul>\n\n\n\n

          Correct choice: A. \u22125\u00bc<\/strong><\/p>\n\n\n\n

          This problem helps build your confidence with fractions<\/strong>, mixed numbers<\/strong>, and negative values<\/strong>\u2014essential skills for middle school and high school math.<\/p>\n\n\n\n

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

          Each question Sandra answers incorrectly changes her overall score by points. Sandra’s overall score was points, and then she answered the last question incorrectly. What was Sandra’s final score The Correct Answer and Explanation is: \ud83d\udcd8 Explanation This question tests your understanding of adding and subtracting rational numbers (fractions and mixed numbers), especially negative numbers. […]<\/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-224407","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224407","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=224407"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/224407\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=224407"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=224407"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=224407"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}