{"id":275706,"date":"2025-07-30T03:07:41","date_gmt":"2025-07-30T03:07:41","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=275706"},"modified":"2025-07-30T03:07:43","modified_gmt":"2025-07-30T03:07:43","slug":"identify-equivalent-linear-expression-2","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/30\/identify-equivalent-linear-expression-2\/","title":{"rendered":"Identify equivalent linear expression"},"content":{"rendered":"\n
\"\"<\/figure>\n\n\n\n

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

The expression provided is 6a\u221236a – 36a\u22123. To identify equivalent expressions, let’s evaluate each one:<\/p>\n\n\n\n

    \n
  1. 6a\u22123+36a – 3 + 36a\u22123+3<\/strong>: This simplifies to 6a6a6a, which is not equivalent to 6a\u221236a – 36a\u22123. Therefore, this is not an equivalent expression.<\/li>\n\n\n\n
  2. (\u22123a+4a)\u22126(-3a + 4a) – 6(\u22123a+4a)\u22126<\/strong>: Simplifying \u22123a+4a-3a + 4a\u22123a+4a gives aaa, so this becomes a\u22126a – 6a\u22126, which is not equivalent to 6a\u221236a – 36a\u22123.<\/li>\n\n\n\n
  3. 6a=156a = 156a=15<\/strong>: This equation is incorrect because 6a\u22123\u2260156a – 3 \\neq 156a\u22123\ue020=15. This is a different equation and not equivalent.<\/li>\n\n\n\n
  4. 6a\u22123=6a\u221236a – 3 = 6a – 36a\u22123=6a\u22123<\/strong>: This is an identical match with the given expression, so it is the correct equivalent expression.<\/li>\n<\/ol>\n\n\n\n

    Thus, the equivalent expression is:<\/p>\n\n\n\n

      \n
    • 6a\u22123=6a\u221236a – 3 = 6a – 36a\u22123=6a\u22123<\/strong>.<\/li>\n<\/ul>\n\n\n\n

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

      To check for equivalent expressions, we need to see if they simplify to 6a\u221236a – 36a\u22123. The expression 6a\u221236a – 36a\u22123 has the term 6a6a6a, and the constant \u22123-3\u22123. For the other expressions to be equivalent, their simplification should match this same form.<\/p>\n\n\n\n

      In this case, we find that the only correct match is the identity 6a\u22123=6a\u221236a – 3 = 6a – 36a\u22123=6a\u22123. The other expressions either involve different constants or algebraic terms that don’t simplify correctly to the target expression. Therefore, only the last option is equivalent to 6a\u221236a – 36a\u22123.<\/p>\n\n\n\n

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

      The Correct Answer and Explanation is: The expression provided is 6a\u221236a – 36a\u22123. To identify equivalent expressions, let’s evaluate each one: Thus, the equivalent expression is: Explanation: To check for equivalent expressions, we need to see if they simplify to 6a\u221236a – 36a\u22123. The expression 6a\u221236a – 36a\u22123 has the term 6a6a6a, and the constant […]<\/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-275706","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275706","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=275706"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/275706\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=275706"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=275706"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=275706"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}