{"id":1480,"date":"2023-06-22T02:36:51","date_gmt":"2023-06-22T02:36:51","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/module-17-background-youll-need-6\/"},"modified":"2025-05-17T02:42:06","modified_gmt":"2025-05-17T02:42:06","slug":"module-17-background-youll-need-6","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/module-17-background-youll-need-6\/","title":{"raw":"Module 16: Background You'll Need 6","rendered":"Module 16: Background You&#8217;ll Need 6"},"content":{"raw":"<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Simplify equations by combining like terms&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12929,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Simplify equations by combining like terms<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<h2>Simplifying Equations<\/h2>\r\n<p>For certain categorical predictors and interactions between explanatory variables, we can simplify equations by combining like terms.<\/p>\r\n<p>In math, the terms [latex]8x[\/latex], [latex]2x[\/latex], and [latex]-3x[\/latex] are called <em><span style=\"text-decoration: underline;\"><strong>like terms<\/strong><\/span><\/em> because they all contain the same variable [latex]x[\/latex].<\/p>\r\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\">[ohm2_question hide_question_numbers=1]3272[\/ohm2_question]<\/span><\/section>\r\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\">[ohm2_question hide_question_numbers=1]3273[\/ohm2_question]<\/span><\/section>\r\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\">[ohm2_question hide_question_numbers=1]3274[\/ohm2_question]<\/span><\/section>\r\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\">[ohm2_question hide_question_numbers=1]3275[\/ohm2_question]<\/span><\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]3276[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\">[ohm2_question hide_question_numbers=1]3277[\/ohm2_question]<\/span><\/section>","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Simplify equations by combining like terms&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12929,&quot;3&quot;:{&quot;1&quot;:0},&quot;10&quot;:2,&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:9}\">Simplify equations by combining like terms<\/span><\/li>\n<\/ul>\n<\/section>\n<h2>Simplifying Equations<\/h2>\n<p>For certain categorical predictors and interactions between explanatory variables, we can simplify equations by combining like terms.<\/p>\n<p>In math, the terms [latex]8x[\/latex], [latex]2x[\/latex], and [latex]-3x[\/latex] are called <em><span style=\"text-decoration: underline;\"><strong>like terms<\/strong><\/span><\/em> because they all contain the same variable [latex]x[\/latex].<\/p>\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\"><iframe loading=\"lazy\" id=\"ohm3272\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3272&theme=lumen&iframe_resize_id=ohm3272&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/span><\/section>\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\"><iframe loading=\"lazy\" id=\"ohm3273\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3273&theme=lumen&iframe_resize_id=ohm3273&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/span><\/section>\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\"><iframe loading=\"lazy\" id=\"ohm3274\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3274&theme=lumen&iframe_resize_id=ohm3274&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/span><\/section>\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\"><iframe loading=\"lazy\" id=\"ohm3275\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3275&theme=lumen&iframe_resize_id=ohm3275&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/span><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm3276\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3276&theme=lumen&iframe_resize_id=ohm3276&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><span style=\"font-size: 1rem; orphans: 1; text-align: initial; background-color: initial; word-spacing: normal;\"><iframe loading=\"lazy\" id=\"ohm3277\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=3277&theme=lumen&iframe_resize_id=ohm3277&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/span><\/section>\n","protected":false},"author":8,"menu_order":7,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1473,"module-header":"background_you_need","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1480"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":8,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1480\/revisions"}],"predecessor-version":[{"id":6905,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1480\/revisions\/6905"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1473"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1480\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1480"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1480"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1480"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1480"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}