{"id":230526,"date":"2025-06-09T16:54:36","date_gmt":"2025-06-09T16:54:36","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=230526"},"modified":"2025-06-09T16:54:38","modified_gmt":"2025-06-09T16:54:38","slug":"john-must-have-at-least-289-test-points-to-pass-his-math-class","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/09\/john-must-have-at-least-289-test-points-to-pass-his-math-class\/","title":{"rendered":"John must have at least 289 test points to pass his math class."},"content":{"rendered":"\n

John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality will tell him at least how many more points he needs to pass the class? A. 72 + 78 + 70 + x \u2264 289 B. 72 + 78 + 70 + x > 289 C. 72 + 78 + 70 + x < 289 D. 72 + 78 + 70 + x \u2265 289<\/p>\n\n\n\n

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

Correct Answer: D. 72 + 78 + 70 + x \u2265 289<\/strong><\/p>\n\n\n\n

\n\n\n\n

Explanation<\/strong><\/h3>\n\n\n\n

To determine how many more points John needs to pass his math class, we first need to understand the requirement and what he has already earned.<\/p>\n\n\n\n

John must have at least 289 test points<\/strong> to pass. The phrase “at least” means that 289 is the minimum<\/strong> he needs, and he can earn more than or equal to<\/strong> that amount and still pass. In math, “at least” is represented by the greater than or equal to (\u2265)<\/strong> symbol.<\/p>\n\n\n\n

John\u2019s current scores are:<\/p>\n\n\n\n

    \n
  • First test: 72<\/li>\n\n\n\n
  • Second test: 78<\/li>\n\n\n\n
  • Third test: 70<\/li>\n<\/ul>\n\n\n\n

    Adding up his current test scores:72+78+70=22072 + 78 + 70 = 22072+78+70=220<\/p>\n\n\n\n

    Let xxx represent the number of points John needs on his next test. To find out how many more points he needs to reach or exceed<\/strong> 289 points, we add xxx to his current total of 220 and write the inequality:220+x\u2265289220 + x \\geq 289220+x\u2265289<\/p>\n\n\n\n

    This inequality means the sum of his current scores and the next test score must be greater than or equal to 289<\/strong>.<\/p>\n\n\n\n

    We can simplify the inequality:220+x\u2265289220 + x \\geq 289220+x\u2265289<\/p>\n\n\n\n

    Subtract 220 from both sides:x\u226569x \\geq 69x\u226569<\/p>\n\n\n\n

    So, John needs at least 69 more points<\/strong> on the next test to pass.<\/p>\n\n\n\n

    Now looking at the original multiple-choice options:<\/p>\n\n\n\n

      \n
    • A<\/strong> uses “\u2264” (less than or equal to), which doesn\u2019t match “at least”<\/li>\n\n\n\n
    • B<\/strong> uses “>” (greater than), which excludes exactly 289<\/li>\n\n\n\n
    • C<\/strong> uses “<” (less than), which is incorrect<\/li>\n\n\n\n
    • D<\/strong> uses “\u2265” (greater than or equal to), which correctly represents<\/strong> “at least”<\/li>\n<\/ul>\n\n\n\n

      Therefore, the correct inequality is:72+78+70+x\u226528972 + 78 + 70 + x \\geq 28972+78+70+x\u2265289<\/p>\n\n\n\n

      \u2714\ufe0f Answer: D<\/strong><\/p>\n\n\n\n

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

      John must have at least 289 test points to pass his math class. He already has test scores of 72, 78, and 70. Which inequality will tell him at least how many more points he needs to pass the class? A. 72 + 78 + 70 + x \u2264 289 B. 72 + 78 + […]<\/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-230526","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230526","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=230526"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/230526\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=230526"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=230526"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=230526"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}