Drag the tiles to the boxes to form correct pairs. Match the pairs of equivalent expressions.
(5 + 2b)+(2b + 3\/2)
(-14 + 3\/2b)-(1 + 8\/2b)
(-10 + b)+(7b -5)
(7\/2b – 3)-(8 + 6b)<\/p>\n\n\n\n
8b – 15
4b + 13\/2
-5\/2b – 11
-15 – 5\/2b<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n To match the pairs of equivalent expressions, we need to simplify each expression and see which simplified version corresponds to the given options. Let\u2019s break down each expression step by step.<\/p>\n\n\n\n This process of simplification helps to identify equivalent expressions and confirm that each expression indeed matches one of the options provided.<\/p>\n","protected":false},"excerpt":{"rendered":" Drag the tiles to the boxes to form correct pairs. Match the pairs of equivalent expressions.(5 + 2b)+(2b + 3\/2)(-14 + 3\/2b)-(1 + 8\/2b)(-10 + b)+(7b -5)(7\/2b – 3)-(8 + 6b) 8b – 154b + 13\/2-5\/2b – 11-15 – 5\/2b The Correct Answer and Explanation is : To match the pairs of equivalent expressions, we […]<\/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-145135","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145135","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=145135"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/145135\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=145135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=145135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=145135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Expression 1: ((5 + 2b) + (2b + \\frac{3}{2}))<\/h3>\n\n\n\n
\n
[
5 + 2b + 2b + \\frac{3}{2} = 5 + 4b + \\frac{3}{2}
]<\/li>\n\n\n\n
[
5 = \\frac{10}{2} \\quad \\Rightarrow \\quad \\frac{10}{2} + \\frac{3}{2} = \\frac{13}{2}
]<\/li>\n\n\n\n
[
4b + \\frac{13}{2}
]<\/li>\n<\/ol>\n\n\n\nExpression 2: ((-14 + \\frac{3}{2}b) – (1 + \\frac{8}{2}b))<\/h3>\n\n\n\n
\n
[
-14 + \\frac{3}{2}b – 1 – \\frac{8}{2}b = -15 + \\frac{3}{2}b – 4b
]<\/li>\n\n\n\n
[
-15 + \\left(\\frac{3}{2} – 4\\right)b = -15 – \\frac{5}{2}b
]<\/li>\n<\/ol>\n\n\n\nExpression 3: ((-10 + b) + (7b – 5))<\/h3>\n\n\n\n
\n
[
-10 + b + 7b – 5 = -15 + 8b
]<\/li>\n<\/ol>\n\n\n\nExpression 4: ((\\frac{7}{2}b – 3) – (8 + 6b))<\/h3>\n\n\n\n
\n
[
\\frac{7}{2}b – 3 – 8 – 6b = \\frac{7}{2}b – 11 – 6b
]<\/li>\n\n\n\n
[
\\frac{7}{2}b – 11 – \\frac{12}{2}b = -\\frac{5}{2}b – 11
]<\/li>\n<\/ol>\n\n\n\nSummary of Simplified Expressions:<\/h3>\n\n\n\n
\n
Matching with Options:<\/h3>\n\n\n\n
\n
Final Pairs:<\/h3>\n\n\n\n
\n