{"id":3938,"date":"2020-02-11T04:33:08","date_gmt":"2020-02-11T04:33:08","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforlibscoreq\/?post_type=chapter&#038;p=3938"},"modified":"2020-02-11T04:39:33","modified_gmt":"2020-02-11T04:39:33","slug":"translating-words-to-equations-that-contain-decimals-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/chapter\/translating-words-to-equations-that-contain-decimals-2\/","title":{"raw":"Translating Words to Equations That Contain Decimals","rendered":"Translating Words to Equations That Contain Decimals"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<ul>\r\n \t<li>Translate phrases that contain decimals into algebraic equations and solve<\/li>\r\n<\/ul>\r\n<\/div>\r\nNow that we have solved equations with decimals, we are ready to translate word sentences to equations and solve. Remember to look for words and phrases that indicate the operations to use.\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nTranslate and solve: The difference of [latex]n[\/latex] and [latex]4.3[\/latex] is [latex]2.1[\/latex].\r\n\r\nSolution\r\n<table id=\"eip-id1168468695347\" class=\"unnumbered unstyled\" summary=\"The first line says, \">\r\n<tbody>\r\n<tr style=\"height: 70px\">\r\n<td style=\"height: 70px\" colspan=\"2\">Translate.<\/td>\r\n<td style=\"height: 70px\"><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221731\/CNX_BMath_Figure_05_04_008_img-01-1.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"height: 15px\" colspan=\"2\">Add [latex]4.3[\/latex] to both sides of the equation.<\/td>\r\n<td style=\"height: 15px\">[latex]n-4.3\\color{red}{- 4.3}=2.1\\color{red}{+ 4.3}[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"height: 15px\" colspan=\"2\">Simplify.<\/td>\r\n<td style=\"height: 15px\">[latex]n=6.4[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15.46875px\">\r\n<td style=\"height: 15.46875px\"><strong>Check:<\/strong><\/td>\r\n<td style=\"height: 15.46875px\">Is the difference of [latex]n[\/latex] and [latex]4.3[\/latex] equal to [latex]2.1[\/latex]?<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"height: 15px\">Let [latex]n=6.4[\/latex] :<\/td>\r\n<td style=\"height: 15px\">Is the difference of [latex]6.4[\/latex] and [latex]4.3[\/latex] equal to [latex]2.1[\/latex]?<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px\">\r\n<td style=\"height: 30px\">Translate.<\/td>\r\n<td style=\"height: 30px\">[latex]6.4-4.3\\stackrel{?}{=}2.1[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 22px\">\r\n<td style=\"height: 22px\">Simplify.<\/td>\r\n<td style=\"height: 22px\">[latex]2.1=2.1\\quad\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n&nbsp;\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146384[\/ohm_question]\r\n\r\n<\/div>\r\nThe following video contains more examples of using the language of algebra to translate a statement containing subtraction. Not that it does not contain decimal specific examples.\r\n\r\nhttps:\/\/youtu.be\/vtnAdQHCt5s\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nTranslate and solve: The product of [latex]-3.1[\/latex] and [latex]x[\/latex] is [latex]5.27[\/latex]\r\n[reveal-answer q=\"668519\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"668519\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168466511710\" class=\"unnumbered unstyled\" summary=\"The first line says, \">\r\n<tbody>\r\n<tr>\r\n<td colspan=\"2\">Translate.<\/td>\r\n<td><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221741\/CNX_BMath_Figure_05_04_009_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">Divide both sides by [latex]-3.1[\/latex] .<\/td>\r\n<td>[latex]{\\Large\\frac{-3.1x}{\\color{red}{-3.1}}}={\\Large\\frac{5.27}{\\color{red}{-3.1}}}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">Simplify.<\/td>\r\n<td>[latex]x=-1.7[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Check:<\/strong><\/td>\r\n<td>Is the product of [latex]\u22123.1[\/latex] and [latex]x[\/latex] equal to [latex]5.27[\/latex] ?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Let [latex]x=-1.7[\/latex] :<\/td>\r\n<td>Is the product of [latex]-3.1[\/latex] and [latex]-1.7[\/latex] equal to [latex]5.27[\/latex] ?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]-3.1(-1.7)\\stackrel{?}{=}5.27[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]5.27=5.27\\quad\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146386[\/ohm_question]\r\n\r\n<\/div>\r\nThe video that follows contains examples of how to use the language of algebra to translate an expression that contains multiplication. Note that the examples do not contain decimals.\r\n\r\nhttps:\/\/youtu.be\/KavmzEwvh1g\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nTranslate and solve: The quotient of [latex]p[\/latex] and [latex]-2.4[\/latex] is [latex]6.5[\/latex].\r\n[reveal-answer q=\"708478\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"708478\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168468295598\" class=\"unnumbered unstyled\" summary=\"The first line says, \">\r\n<tbody>\r\n<tr style=\"height: 78px\">\r\n<td style=\"height: 78px\" colspan=\"2\">Translate.<\/td>\r\n<td style=\"height: 78px\"><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221750\/CNX_BMath_Figure_05_04_010_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px\">\r\n<td style=\"height: 30px\" colspan=\"2\">Multiply both sides by [latex]-2.4[\/latex] .<\/td>\r\n<td style=\"height: 30px\">[latex]\\color{red}{-2.4}({\\Large\\frac{p}{-2.4}})=\\color{red}{-2.4}(6.5)[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15px\">\r\n<td style=\"height: 15px\" colspan=\"2\">Simplify.<\/td>\r\n<td style=\"height: 15px\">[latex]p=-15.6[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px\">\r\n<td style=\"height: 30px\"><strong>Check:<\/strong><\/td>\r\n<td style=\"height: 30px\">Is the quotient of [latex]p[\/latex] and [latex]-2.4[\/latex] equal to [latex]6.5[\/latex] ?<\/td>\r\n<\/tr>\r\n<tr style=\"height: 30px\">\r\n<td style=\"height: 30px\">Let [latex]p=-15.6:[\/latex]<\/td>\r\n<td style=\"height: 30px\">Is the quotient of [latex]-15.6[\/latex] and [latex]-2.4[\/latex] equal to [latex]6.5[\/latex] ?<\/td>\r\n<\/tr>\r\n<tr style=\"height: 15.84375px\">\r\n<td style=\"height: 15.84375px\">Translate.<\/td>\r\n<td style=\"height: 15.84375px\">[latex]{\\Large\\frac{\\color{red}{-15.6}}{-2.4}}\\stackrel{?}{=}6.5[\/latex]<\/td>\r\n<\/tr>\r\n<tr style=\"height: 28px\">\r\n<td style=\"height: 28px\">Simplify.<\/td>\r\n<td style=\"height: 28px\">[latex]6.5=6.5\\quad\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>try it<\/h3>\r\n[ohm_question]146387[\/ohm_question]\r\n\r\n<\/div>\r\nThe video that follows gives examples of how to use the language of algebra to translate an expression that contains division. Note that the examples do not contain decimals.\r\n\r\nhttps:\/\/youtu.be\/WxJxY4aJ9Vk\r\n<div class=\"textbox exercises\">\r\n<h3>example<\/h3>\r\nTranslate and solve: The sum of [latex]n[\/latex] and [latex]2.9[\/latex] is [latex]1.7[\/latex].\r\n[reveal-answer q=\"251377\"]Show Solution[\/reveal-answer]\r\n[hidden-answer a=\"251377\"]\r\n\r\nSolution\r\n<table id=\"eip-id1168469763226\" class=\"unnumbered unstyled\" summary=\"The first line says, \">\r\n<tbody>\r\n<tr>\r\n<td colspan=\"2\">Translate.<\/td>\r\n<td><img src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221800\/CNX_BMath_Figure_05_04_011_img-01.png\" alt=\".\" \/><\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">Subtract [latex]2.9[\/latex] from each side.<\/td>\r\n<td>[latex]n+2.9\\color{red}{- 2.9}=1.7\\color{red}{- 2.9}[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">Simplify.<\/td>\r\n<td>[latex]n=-1.2[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Check:<\/strong><\/td>\r\n<td>Is the sum [latex]n[\/latex] and [latex]2.9[\/latex] equal to [latex]1.7[\/latex] ?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Let [latex]n=-1.2:[\/latex]<\/td>\r\n<td>Is the sum [latex]-1.2[\/latex] and [latex]2.9[\/latex] equal to [latex]1.7[\/latex] ?<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Translate.<\/td>\r\n<td>[latex]-1.2+2.9\\stackrel{?}{=}1.7[\/latex]<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Simplify.<\/td>\r\n<td>[latex]1.7=1.7\\quad\\checkmark[\/latex]<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n[\/hidden-answer]\r\n\r\n<\/div>\r\n&nbsp;\r\n<div class=\"textbox key-takeaways\">\r\n<h3>TRY it<\/h3>\r\n[ohm_question]146385[\/ohm_question]\r\n\r\n<\/div>\r\nThe video that follows gives examples of how to use the language of algebra to translate an expression that contains addition. Note that the examples do not contain decimals.\r\n\r\nhttps:\/\/youtu.be\/sFbNgjxdf1A","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Translate phrases that contain decimals into algebraic equations and solve<\/li>\n<\/ul>\n<\/div>\n<p>Now that we have solved equations with decimals, we are ready to translate word sentences to equations and solve. Remember to look for words and phrases that indicate the operations to use.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Translate and solve: The difference of [latex]n[\/latex] and [latex]4.3[\/latex] is [latex]2.1[\/latex].<\/p>\n<p>Solution<\/p>\n<table id=\"eip-id1168468695347\" class=\"unnumbered unstyled\" summary=\"The first line says,\">\n<tbody>\n<tr style=\"height: 70px\">\n<td style=\"height: 70px\" colspan=\"2\">Translate.<\/td>\n<td style=\"height: 70px\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221731\/CNX_BMath_Figure_05_04_008_img-01-1.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\" colspan=\"2\">Add [latex]4.3[\/latex] to both sides of the equation.<\/td>\n<td style=\"height: 15px\">[latex]n-4.3\\color{red}{- 4.3}=2.1\\color{red}{+ 4.3}[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\" colspan=\"2\">Simplify.<\/td>\n<td style=\"height: 15px\">[latex]n=6.4[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15.46875px\">\n<td style=\"height: 15.46875px\"><strong>Check:<\/strong><\/td>\n<td style=\"height: 15.46875px\">Is the difference of [latex]n[\/latex] and [latex]4.3[\/latex] equal to [latex]2.1[\/latex]?<\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\">Let [latex]n=6.4[\/latex] :<\/td>\n<td style=\"height: 15px\">Is the difference of [latex]6.4[\/latex] and [latex]4.3[\/latex] equal to [latex]2.1[\/latex]?<\/td>\n<\/tr>\n<tr style=\"height: 30px\">\n<td style=\"height: 30px\">Translate.<\/td>\n<td style=\"height: 30px\">[latex]6.4-4.3\\stackrel{?}{=}2.1[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 22px\">\n<td style=\"height: 22px\">Simplify.<\/td>\n<td style=\"height: 22px\">[latex]2.1=2.1\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146384\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146384&theme=oea&iframe_resize_id=ohm146384&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>The following video contains more examples of using the language of algebra to translate a statement containing subtraction. Not that it does not contain decimal specific examples.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"The Language of Subtraction\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/vtnAdQHCt5s?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Translate and solve: The product of [latex]-3.1[\/latex] and [latex]x[\/latex] is [latex]5.27[\/latex]<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q668519\">Show Solution<\/span><\/p>\n<div id=\"q668519\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168466511710\" class=\"unnumbered unstyled\" summary=\"The first line says,\">\n<tbody>\n<tr>\n<td colspan=\"2\">Translate.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221741\/CNX_BMath_Figure_05_04_009_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">Divide both sides by [latex]-3.1[\/latex] .<\/td>\n<td>[latex]{\\Large\\frac{-3.1x}{\\color{red}{-3.1}}}={\\Large\\frac{5.27}{\\color{red}{-3.1}}}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">Simplify.<\/td>\n<td>[latex]x=-1.7[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><strong>Check:<\/strong><\/td>\n<td>Is the product of [latex]\u22123.1[\/latex] and [latex]x[\/latex] equal to [latex]5.27[\/latex] ?<\/td>\n<\/tr>\n<tr>\n<td>Let [latex]x=-1.7[\/latex] :<\/td>\n<td>Is the product of [latex]-3.1[\/latex] and [latex]-1.7[\/latex] equal to [latex]5.27[\/latex] ?<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]-3.1(-1.7)\\stackrel{?}{=}5.27[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]5.27=5.27\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146386\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146386&theme=oea&iframe_resize_id=ohm146386&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>The video that follows contains examples of how to use the language of algebra to translate an expression that contains multiplication. Note that the examples do not contain decimals.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"The Language of Multiplication\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/KavmzEwvh1g?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Translate and solve: The quotient of [latex]p[\/latex] and [latex]-2.4[\/latex] is [latex]6.5[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q708478\">Show Solution<\/span><\/p>\n<div id=\"q708478\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168468295598\" class=\"unnumbered unstyled\" summary=\"The first line says,\">\n<tbody>\n<tr style=\"height: 78px\">\n<td style=\"height: 78px\" colspan=\"2\">Translate.<\/td>\n<td style=\"height: 78px\"><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221750\/CNX_BMath_Figure_05_04_010_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr style=\"height: 30px\">\n<td style=\"height: 30px\" colspan=\"2\">Multiply both sides by [latex]-2.4[\/latex] .<\/td>\n<td style=\"height: 30px\">[latex]\\color{red}{-2.4}({\\Large\\frac{p}{-2.4}})=\\color{red}{-2.4}(6.5)[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 15px\">\n<td style=\"height: 15px\" colspan=\"2\">Simplify.<\/td>\n<td style=\"height: 15px\">[latex]p=-15.6[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 30px\">\n<td style=\"height: 30px\"><strong>Check:<\/strong><\/td>\n<td style=\"height: 30px\">Is the quotient of [latex]p[\/latex] and [latex]-2.4[\/latex] equal to [latex]6.5[\/latex] ?<\/td>\n<\/tr>\n<tr style=\"height: 30px\">\n<td style=\"height: 30px\">Let [latex]p=-15.6:[\/latex]<\/td>\n<td style=\"height: 30px\">Is the quotient of [latex]-15.6[\/latex] and [latex]-2.4[\/latex] equal to [latex]6.5[\/latex] ?<\/td>\n<\/tr>\n<tr style=\"height: 15.84375px\">\n<td style=\"height: 15.84375px\">Translate.<\/td>\n<td style=\"height: 15.84375px\">[latex]{\\Large\\frac{\\color{red}{-15.6}}{-2.4}}\\stackrel{?}{=}6.5[\/latex]<\/td>\n<\/tr>\n<tr style=\"height: 28px\">\n<td style=\"height: 28px\">Simplify.<\/td>\n<td style=\"height: 28px\">[latex]6.5=6.5\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146387\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146387&theme=oea&iframe_resize_id=ohm146387&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>The video that follows gives examples of how to use the language of algebra to translate an expression that contains division. Note that the examples do not contain decimals.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-3\" title=\"The Language of Division\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/WxJxY4aJ9Vk?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Translate and solve: The sum of [latex]n[\/latex] and [latex]2.9[\/latex] is [latex]1.7[\/latex].<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q251377\">Show Solution<\/span><\/p>\n<div id=\"q251377\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168469763226\" class=\"unnumbered unstyled\" summary=\"The first line says,\">\n<tbody>\n<tr>\n<td colspan=\"2\">Translate.<\/td>\n<td><img decoding=\"async\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24221800\/CNX_BMath_Figure_05_04_011_img-01.png\" alt=\".\" \/><\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">Subtract [latex]2.9[\/latex] from each side.<\/td>\n<td>[latex]n+2.9\\color{red}{- 2.9}=1.7\\color{red}{- 2.9}[\/latex]<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\">Simplify.<\/td>\n<td>[latex]n=-1.2[\/latex]<\/td>\n<\/tr>\n<tr>\n<td><strong>Check:<\/strong><\/td>\n<td>Is the sum [latex]n[\/latex] and [latex]2.9[\/latex] equal to [latex]1.7[\/latex] ?<\/td>\n<\/tr>\n<tr>\n<td>Let [latex]n=-1.2:[\/latex]<\/td>\n<td>Is the sum [latex]-1.2[\/latex] and [latex]2.9[\/latex] equal to [latex]1.7[\/latex] ?<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]-1.2+2.9\\stackrel{?}{=}1.7[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]1.7=1.7\\quad\\checkmark[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>TRY it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm146385\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146385&theme=oea&iframe_resize_id=ohm146385&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>The video that follows gives examples of how to use the language of algebra to translate an expression that contains addition. Note that the examples do not contain decimals.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-4\" title=\"The Language of Addition\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/sFbNgjxdf1A?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\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-3938\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li>Question ID 146387, 146385, 146386, 146384. <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, Shared previously<\/div><ul class=\"citation-list\"><li>The Language of Subtraction. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/vtnAdQHCt5s\">https:\/\/youtu.be\/vtnAdQHCt5s<\/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>The Language of Multiplication. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/KavmzEwvh1g\">https:\/\/youtu.be\/KavmzEwvh1g<\/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>The Language of Division. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/WxJxY4aJ9Vk\">https:\/\/youtu.be\/WxJxY4aJ9Vk<\/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>The Language of Addition. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/sFbNgjxdf1A\">https:\/\/youtu.be\/sFbNgjxdf1A<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/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":25777,"menu_order":16,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"The Language of Subtraction\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/vtnAdQHCt5s\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"The Language of Multiplication\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/KavmzEwvh1g\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"The Language of Division\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/WxJxY4aJ9Vk\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"The Language of Addition\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/sFbNgjxdf1A\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"original\",\"description\":\"Question ID 146387, 146385, 146386, 146384\",\"author\":\"Lumen Learning\",\"organization\":\"\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"IMathAS Community License CC-BY + GPL\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-3938","chapter","type-chapter","status-publish","hentry"],"part":377,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/users\/25777"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3938\/revisions"}],"predecessor-version":[{"id":3939,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3938\/revisions\/3939"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/parts\/377"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapters\/3938\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/media?parent=3938"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=3938"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/contributor?post=3938"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/mathforliberalartscorequisite\/wp-json\/wp\/v2\/license?post=3938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}