{"id":11187,"date":"2025-12-05T22:34:06","date_gmt":"2025-12-05T11:34:06","guid":{"rendered":"https:\/\/casestudyhelp.com\/sample-questions\/?p=11187"},"modified":"2025-12-09T15:53:51","modified_gmt":"2025-12-09T04:53:51","slug":"which-expression-is-equivalent-to-the-given-expression","status":"publish","type":"post","link":"https:\/\/casestudyhelp.com\/sample-questions\/which-expression-is-equivalent-to-the-given-expression\/","title":{"rendered":"Which Expression is Equivalent to the Given Expression?"},"content":{"rendered":"<div data-subtree=\"aimfl,mfl\" data-processed=\"true\"><a href=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2025\/12\/Which-expression-is-equivalent-to-the-given-expression.png\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-11188\" src=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2025\/12\/Which-expression-is-equivalent-to-the-given-expression.png\" alt=\"Which expression is equivalent to the given expression\" width=\"388\" height=\"266\" srcset=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2025\/12\/Which-expression-is-equivalent-to-the-given-expression.png 388w, https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2025\/12\/Which-expression-is-equivalent-to-the-given-expression-300x206.png 300w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><\/a><\/div>\n<div data-subtree=\"aimfl,mfl\" data-processed=\"true\"><\/div>\n<h2 data-subtree=\"aimfl,mfl\" data-processed=\"true\">Brief Exaplanation:<\/h2>\n<h3 data-subtree=\"aimfl,mfl\" data-processed=\"true\"><strong>Step 1: Combine like terms<\/strong><\/h3>\n<div data-subtree=\"aimfl,mfl\" data-processed=\"true\">\n<p>First, identify and group the like terms in the expression<\/p>\n<ul>\n<li>-2&#215;2+8x\u22129+4x+7&#215;2+2:<\/li>\n<li>2 terms: &#8211; 22 and +72<\/li>\n<li>terms: +8x and +4x<\/li>\n<li>Constant terms: -9 and +2<\/li>\n<\/ul>\n<p>Next, combine the coefficients for each group:<\/p>\n<ul>\n<li>For 2: -2+7 = 5, resulting in 5&#215;2.<\/li>\n<li>For : 8+4 = 12, resulting in 12.<\/li>\n<li>For constants: -9+2 = 7.<\/li>\n<\/ul>\n<div class=\"Y3BBE\" data-sfc-cp=\"\" data-hveid=\"CAQQAA\" data-processed=\"true\"><span class=\"txxDge notranslate\" data-wiz-uids=\"zRCTEd_p,zRCTEd_q,zRCTEd_r\" data-processed=\"true\"><!--Sv6Kpe[[null,null,&quot;6955afa3-c3da-4ba6-9e0b-e92f12146c79&quot;,null,null,0,0,&quot;&quot;,&quot;&quot;]]--><\/span><!--Sv6Kpe[]--><\/div>\n<\/div>\n<h3 data-subtree=\"aimfl,mfl\" data-processed=\"true\"><strong>Step 2: Form the final expression<\/strong><\/h3>\n<div data-subtree=\"aimfl,mfl\" data-processed=\"true\">Combine the simplified terms to form the final equivalent expression, typically written in standard form (descending powers of x): 5&#215;2+12x-7.<\/div>\n<div data-subtree=\"aimfl,mfl\" data-processed=\"true\"><\/div>\n<div data-subtree=\"aimfl,mfl\" data-processed=\"true\">\n<div class=\"otQkpb\" role=\"heading\" data-animation-nesting=\"\" data-sfc-cp=\"\" data-processed=\"true\"><strong class=\"Yjhzub\" data-processed=\"true\">Answer: <\/strong>The expression equivalent to the given expression is <span style=\"color: #008000\"><strong>5&#215;2+12x\u22127<\/strong><\/span><\/div>\n<\/div>\n<div role=\"heading\" data-animation-nesting=\"\" data-sfc-cp=\"\" data-processed=\"true\"><\/div>\n<blockquote>\n<h2 style=\"text-align: center\" role=\"heading\" data-processed=\"true\"><em><span style=\"color: #ff6600\">Your Trusted Study Partner<\/span><\/em><\/h2>\n<p role=\"heading\" data-processed=\"true\"><em>Struggling with university tasks? 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Contact us today!<\/em><\/p>\n<\/blockquote>\n<div role=\"heading\" data-animation-nesting=\"\" data-sfc-cp=\"\" data-processed=\"true\"><a href=\"https:\/\/casestudyhelp.com\/MyOrder.php\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9029 size-full\" title=\"Order Now\" src=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2022\/12\/order-now.jpg\" alt=\"Order Now\" width=\"700\" height=\"87\" srcset=\"https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2022\/12\/order-now.jpg 700w, https:\/\/casestudyhelp.com\/sample-questions\/wp-content\/uploads\/2022\/12\/order-now-300x37.jpg 300w\" sizes=\"(max-width: 700px) 100vw, 700px\" \/><\/a><\/div>\n<p><mark class=\"HxTRcb\" data-processed=\"true\"><!--Sv6Kpe[]--><\/mark><\/p>\n<script type=\"text\/javascript\" charset=\"utf-8\" src=\"http:\/\/w.sharethis.com\/widget\/?wp=6.2.9\"><\/script>","protected":false},"excerpt":{"rendered":"<p>Brief Exaplanation: Step 1: Combine like terms First, identify and group the like terms in the expression -2&#215;2+8x\u22129+4x+7&#215;2+2: 2 terms: &#8211; 22 and +72 terms: +8x and +4x Constant terms: -9 and +2 Next, combine the coefficients for each group: For 2: -2+7 = 5, resulting in 5&#215;2. For : 8+4 = 12, resulting in [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4401],"tags":[],"_links":{"self":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts\/11187"}],"collection":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/comments?post=11187"}],"version-history":[{"count":3,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts\/11187\/revisions"}],"predecessor-version":[{"id":11206,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/posts\/11187\/revisions\/11206"}],"wp:attachment":[{"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/media?parent=11187"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/categories?post=11187"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/casestudyhelp.com\/sample-questions\/wp-json\/wp\/v2\/tags?post=11187"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}