{"id":6241,"date":"2017-05-01T23:59:20","date_gmt":"2017-05-01T23:59:20","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=6241"},"modified":"2019-05-24T17:41:39","modified_gmt":"2019-05-24T17:41:39","slug":"evaluate-simplify-and-translate-expressions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/csn-prealgebra\/chapter\/evaluate-simplify-and-translate-expressions\/","title":{"raw":"Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions","rendered":"Introduction to Evaluating, Simplifying, and Translating Algebraic Expressions"},"content":{"raw":"<h2>What you'll learn to do: Evaluate, simplify, and translate algebraic expressions<\/h2>\r\n<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/07211326\/6988157282_d2c10fc165_o.png\"><img class=\"aligncenter wp-image-11328\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/07211326\/6988157282_d2c10fc165_o-1024x768.png\" alt=\"A U.S 1040 individual tax return form with a pencil lying on top of it\" width=\"750\" height=\"562\" \/><\/a>\r\n\r\n&nbsp;\r\n\r\nHave you ever had to fill out a tax form when starting a new job or filing your tax return at the end of the year? It can be a puzzling task, with lots of instructions such as \"enter the sum of line 20 and line 32 into line 33\" or \"enter the difference between line 8 and line 9 into line 10.\" The form might be telling you to do simple addition or subtraction, but it's not always obvious due to the wording used. In this section, you'll learn how to untangle algebraic expressions by identifying and combining like terms and translating words and phrases into familiar operations.\r\n\r\nBefore you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]144735[\/ohm_question]\r\n\r\nIf you missed this problem, review this example:\r\n<div class=\"textbox shaded\">\r\n\r\nDetermine if each is an expression or an equation:\r\n<ol>\r\n \t<li>[latex]16 - 6=10[\/latex]<\/li>\r\n \t<li>[latex]4\\cdot 2+1[\/latex]<\/li>\r\n \t<li>[latex]x\\div 25[\/latex]<\/li>\r\n \t<li>[latex]y+8=40[\/latex]<\/li>\r\n<\/ol>\r\n[reveal-answer q=\"698546\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"698546\"]\r\n<table id=\"eip-id1166346957031\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td>1. [latex]16 - 6=10[\/latex]<\/td>\r\n<td>This is an equation\u2014two expressions are connected with an equal sign.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>2. [latex]4\\cdot 2+1[\/latex]<\/td>\r\n<td>This is an expression\u2014no equal sign.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>3. [latex]x\\div 25[\/latex]<\/td>\r\n<td>This is an expression\u2014no equal sign.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>4. [latex]y+8=40[\/latex]<\/td>\r\n<td>This is an equation\u2014two expressions are connected with an equal sign.<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n2)\r\n\r\n[ohm_question]144745[\/ohm_question]\r\n\r\nIf you missed this problem, review this example:\r\n<div class=\"textbox shaded\">Simplify: [latex]{3}^{4}[\/latex].\r\n[reveal-answer q=\"41374\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"41374\"]\r\n<table id=\"eip-id1164752752096\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\r\n<tbody>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">[latex]{3}^{4}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Expand the expression.<\/td>\r\n<td data-align=\"center\">[latex]3\\cdot 3\\cdot 3\\cdot 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply left to right.<\/td>\r\n<td data-align=\"center\">[latex]9\\cdot 3\\cdot 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><\/td>\r\n<td data-align=\"center\">[latex]27\\cdot 3[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Multiply.<\/td>\r\n<td data-align=\"center\">[latex]81[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n3)\r\n\r\n[ohm_question]144748[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\nhttps:\/\/youtu.be\/qFUvF5-w9o0\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Evaluate, simplify, and translate algebraic expressions<\/h2>\n<p><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/07211326\/6988157282_d2c10fc165_o.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-11328\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/07211326\/6988157282_d2c10fc165_o-1024x768.png\" alt=\"A U.S 1040 individual tax return form with a pencil lying on top of it\" width=\"750\" height=\"562\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Have you ever had to fill out a tax form when starting a new job or filing your tax return at the end of the year? It can be a puzzling task, with lots of instructions such as &#8220;enter the sum of line 20 and line 32 into line 33&#8221; or &#8220;enter the difference between line 8 and line 9 into line 10.&#8221; The form might be telling you to do simple addition or subtraction, but it&#8217;s not always obvious due to the wording used. In this section, you&#8217;ll learn how to untangle algebraic expressions by identifying and combining like terms and translating words and phrases into familiar operations.<\/p>\n<p>Before you get started in this module, try a few practice problems and review\u00a0prior\u00a0concepts.<\/p>\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144735\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144735&theme=oea&iframe_resize_id=ohm144735&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this example:<\/p>\n<div class=\"textbox shaded\">\n<p>Determine if each is an expression or an equation:<\/p>\n<ol>\n<li>[latex]16 - 6=10[\/latex]<\/li>\n<li>[latex]4\\cdot 2+1[\/latex]<\/li>\n<li>[latex]x\\div 25[\/latex]<\/li>\n<li>[latex]y+8=40[\/latex]<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q698546\">Show Solution<\/span><\/p>\n<div id=\"q698546\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1166346957031\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td>1. [latex]16 - 6=10[\/latex]<\/td>\n<td>This is an equation\u2014two expressions are connected with an equal sign.<\/td>\n<\/tr>\n<tr>\n<td>2. [latex]4\\cdot 2+1[\/latex]<\/td>\n<td>This is an expression\u2014no equal sign.<\/td>\n<\/tr>\n<tr>\n<td>3. [latex]x\\div 25[\/latex]<\/td>\n<td>This is an expression\u2014no equal sign.<\/td>\n<\/tr>\n<tr>\n<td>4. [latex]y+8=40[\/latex]<\/td>\n<td>This is an equation\u2014two expressions are connected with an equal sign.<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144745\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144745&theme=oea&iframe_resize_id=ohm144745&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review this example:<\/p>\n<div class=\"textbox shaded\">Simplify: [latex]{3}^{4}[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q41374\">Show Solution<\/span><\/p>\n<div id=\"q41374\" class=\"hidden-answer\" style=\"display: none\">\n<table id=\"eip-id1164752752096\" class=\"unnumbered unstyled\" summary=\".\" data-label=\"\">\n<tbody>\n<tr>\n<td><\/td>\n<td data-align=\"center\">[latex]{3}^{4}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Expand the expression.<\/td>\n<td data-align=\"center\">[latex]3\\cdot 3\\cdot 3\\cdot 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply left to right.<\/td>\n<td data-align=\"center\">[latex]9\\cdot 3\\cdot 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td data-align=\"center\">[latex]27\\cdot 3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Multiply.<\/td>\n<td data-align=\"center\">[latex]81[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm144748\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144748&theme=oea&iframe_resize_id=ohm144748&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<br \/>\n<iframe loading=\"lazy\" id=\"oembed-1\" title=\"Ex: Evaluate an Expression Using the Order of Operations\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/qFUvF5-w9o0?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-6241\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Form 1040. <strong>Authored by<\/strong>: Philip Taylor. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.flickr.com\/photos\/9731367@N02\/6988157282\/\">https:\/\/www.flickr.com\/photos\/9731367@N02\/6988157282\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Ex: Evaluate an Expression Using the Order of Operations. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/qFUvF5-w9o0\">https:\/\/youtu.be\/qFUvF5-w9o0<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 144735, 144745, 144748. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Form 1040\",\"author\":\"Philip Taylor\",\"organization\":\"\",\"url\":\"https:\/\/www.flickr.com\/photos\/9731367@N02\/6988157282\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Evaluate an Expression Using the Order of Operations\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/qFUvF5-w9o0\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at 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