{"id":3578,"date":"2019-12-31T17:57:47","date_gmt":"2019-12-31T17:57:47","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/mathforlibscoreq\/?post_type=chapter&#038;p=3578"},"modified":"2021-02-05T23:49:07","modified_gmt":"2021-02-05T23:49:07","slug":"applications-with-subtracting-integers","status":"web-only","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/slcc-mathforliberalartscorequisite\/chapter\/applications-with-subtracting-integers\/","title":{"raw":"Applications With Subtracting Integers","rendered":"Applications With Subtracting Integers"},"content":{"raw":"<div class=\"textbox learning-objectives\"><h3>Learning Outcomes<\/h3><ul><li>Translate statements from words into algebraic expressions involving subtraction<\/li><li>Solve application problems involving subtraction<\/li><\/ul><\/div>When we first introduced the operation symbols, we saw that the expression [latex]a-b[\/latex] may be read in several ways as shown below.\n\n<img class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220458\/CNX_BMath_Figure_03_03_025.png\" alt=\"This table has six rows. The first row has a - b. The second row states a minus b. The third row states the difference of a and b. The fourth row states subtract b from a. The fifth row states b subtracted from a. The sixth row states b less than a.\">\nBe careful to get [latex]a[\/latex] and [latex]b[\/latex] in the right order!\n\n<div class=\"textbox exercises\"><h3>example<\/h3>Translate and then simplify:\n\n<ol><li>The difference of [latex]13[\/latex] and [latex]-21[\/latex]<\/li><li>Subtract [latex]24[\/latex] from [latex]-19[\/latex]<\/li><\/ol>Solution\n1. A <em>difference<\/em> means subtraction. Subtract the numbers in the order they are given.\n\n<table id=\"eip-id1168467306164\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\"This figure has three rows. The first row states the difference of 13 and negative 21. The second row states translate and has 13 minus negative 21. The third row states simplify and has 34.\"><tbody><tr><td><\/td><td>[latex]\\text{the }\\color{red}{\\text{difference}}\\text{ of }13\\text{ and }--21[\/latex]<\/td><\/tr><tr><td>Translate.<\/td><td>[latex]13--(--21)[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]34[\/latex]<\/td><\/tr><\/tbody><\/table><em>2. Subtract<\/em> means to take [latex]24[\/latex] away from [latex]-19[\/latex].\n\n<table id=\"eip-id1168468668595\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\"This figure has three rows. The first row states the subtract 24 from negative 19. The second row states translate and has negative 19 minus 24. The third row states simplify and has negative 43.\"><tbody><tr><td><\/td><td>[latex]\\color{red}{\\text{subtract }} 24\\color{red}{\\text{ from }}--19[\/latex]<\/td><\/tr><tr><td>Translate.<\/td><td>[latex]--19--24[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]--43[\/latex]<\/td><\/tr><\/tbody><\/table><\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>try it<\/h3>[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144653&amp;theme=oea&amp;iframe_resize_id=mom1[\/embed]\n\n\n\n<\/div>Watch the following video to see more examples of how to translate an expression in words that represents subtraction into a mathematical expression.\n\nhttps:\/\/youtu.be\/yOeIxabFi0c\n\n<h3>Subtract Integers in Applications<\/h3>It\u2019s hard to find something if we don\u2019t know what we\u2019re looking for or what to call it. So when we solve an application problem, we first need to determine what we are asked to find. Then we can write a phrase that gives the information to find it. We\u2019ll translate the phrase into an expression and then simplify the expression to get the answer. Finally, we summarize the answer in a sentence to make sure it makes sense.\n\n<div class=\"textbox shaded\"><h3>Solve Application Problems<\/h3><ol id=\"eip-id1168467238278\" class=\"stepwise\"><li>Identify what you are asked to find.<\/li><li>Write a phrase that gives the information to find it.<\/li><li>Translate the phrase to an expression.<\/li><li>Simplify the expression.<\/li><li>Answer the question with a complete sentence.<\/li><\/ol><\/div>&nbsp;\n\n<div class=\"textbox exercises\"><h3>example<\/h3>The temperature in Urbana, Illinois one morning was [latex]11[\/latex] degrees Fahrenheit. By mid-afternoon, the temperature had dropped to [latex]-9[\/latex] degrees Fahrenheit. What was the difference between the morning and afternoon temperatures?\n[reveal-answer q=\"899815\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"899815\"]\n\nSolution\n\n<table id=\"eip-id1168467263240\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\"><tbody><tr><td>Step 1. Identify what we are asked to find.<\/td><td>the difference between the morning and afternoon temperatures<\/td><\/tr><tr><td>Step 2. Write a phrase that gives the information to find it.<\/td><td>the difference of [latex]11[\/latex] and [latex]-9[\/latex]<\/td><\/tr><tr><td>Step 3. Translate the phrase to an expression.The word <em>difference<\/em> indicates subtraction.\n\n<\/td><td>[latex]11-\\left(-9\\right)[\/latex]<\/td><\/tr><tr><td>Step 4. Simplify the expression.<\/td><td>[latex]20[\/latex]<\/td><\/tr><tr><td>Step 5. Write a complete sentence that answers the question.<\/td><td>The difference in temperature was [latex]20[\/latex] degrees Fahrenheit.<\/td><\/tr><\/tbody><\/table>[\/hidden-answer]\n\n<\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>try it<\/h3>[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145206&amp;theme=oea&amp;iframe_resize_id=mom2[\/embed]\n\n\n\n<\/div>Geography provides another application of negative numbers with the elevations of places below sea level.\n\n<div class=\"textbox exercises\"><h3>example<\/h3>Dinesh hiked from Mt. Whitney, the highest point in California, to Death Valley, the lowest point. The elevation of Mt. Whitney is [latex]14,497[\/latex] feet above sea level and the elevation of Death Valley is [latex]282[\/latex] feet below sea level. What is the difference in elevation between Mt. Whitney and Death Valley?\n[reveal-answer q=\"128798\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"128798\"]\n\nSolution\n\n<table id=\"eip-id1168468370720\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\"><tbody><tr><td>Step 1. What are we asked to find?<\/td><td>The difference in elevation between Mt. Whitney and Death Valley<\/td><\/tr><tr><td>Step 2. Write a phrase.<\/td><td>elevation of Mt. Whitney\u2212elevation of Death Valley<\/td><\/tr><tr><td>Step 3. Translate.<\/td><td>[latex]14,497-\\left(-282\\right)[\/latex]<\/td><\/tr><tr><td>Step 4. Simplify.<\/td><td>[latex]14,779[\/latex]<\/td><\/tr><tr><td>Step 5. Write a complete sentence that answers the question.<\/td><td>The difference in elevation is [latex]14,779[\/latex] feet.<\/td><\/tr><\/tbody><\/table>[\/hidden-answer]\n\n<\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>try it<\/h3>[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145207&amp;theme=oea&amp;iframe_resize_id=mom3[\/embed]\n\n\n\n[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145208&amp;theme=oea&amp;iframe_resize_id=mom4[\/embed]\n\n\n\n<\/div>Managing your money can involve both positive and negative numbers. You might have overdraft protection on your checking account. This means the bank lets you write checks for more money than you have in your account (as long as they know they can get it back from you!)\n\n<div class=\"textbox exercises\"><h3>example<\/h3>Leslie has [latex]$25[\/latex] in her checking account and she writes a check for [latex]$8[\/latex]\n\n<ol><li>What is the balance after she writes the check?<\/li><li>She writes a second check for [latex]$20[\/latex] What is the new balance after this check?<\/li><li>Leslie\u2019s friend told her that she had lost a check for [latex]$10[\/latex] that Leslie had given her with her birthday card and would like her to write another one. What is the balance in Leslie\u2019s checking account now?<\/li><\/ol>[reveal-answer q=\"83739\"]Show Solution[\/reveal-answer]\n[hidden-answer a=\"83739\"]\n\nSolution\n\n<table id=\"eip-id1168466711056\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\"><tbody><tr><td>1.<\/td><td><\/td><\/tr><tr><td>What are we asked to find?<\/td><td>The balance of the account<\/td><\/tr><tr><td>Write a phrase.<\/td><td>[latex]$25[\/latex] minus [latex]$8[\/latex]<\/td><\/tr><tr><td>Translate<\/td><td>[latex]$25--$8[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]$17[\/latex]<\/td><\/tr><tr><td>Write a sentence answer.<\/td><td>The balance is [latex]$17[\/latex] .<\/td><\/tr><\/tbody><\/table><table id=\"eip-id1168469689180\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\"><tbody><tr><td>2.<\/td><td><\/td><\/tr><tr><td>What are we asked to find?<\/td><td>The new balance<\/td><\/tr><tr><td>Write a phrase.<\/td><td>[latex]$17[\/latex] minus [latex]$20[\/latex]<\/td><\/tr><tr><td>Translate<\/td><td>[latex]$17--$20[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]--$3[\/latex]<\/td><\/tr><tr><td>Write a sentence answer.<\/td><td>She is overdrawn by [latex]$3[\/latex] .<\/td><\/tr><\/tbody><\/table><table id=\"eip-id1168469468765\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\"><tbody><tr><td>3.<\/td><td><\/td><\/tr><tr><td>What are we asked to find?<\/td><td>The new balance<\/td><\/tr><tr><td>Write a phrase.<\/td><td>[latex]$10[\/latex] more than [latex]-$3[\/latex]<\/td><\/tr><tr><td>Translate<\/td><td>[latex]--$3+$10[\/latex]<\/td><\/tr><tr><td>Simplify.<\/td><td>[latex]$7[\/latex]<\/td><\/tr><tr><td>Write a sentence answer.<\/td><td>The balance is now [latex]$7[\/latex] .<\/td><\/tr><\/tbody><\/table>[\/hidden-answer]\n\n<\/div>&nbsp;\n\n<div class=\"textbox key-takeaways\"><h3>try it<\/h3>[embed]https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145244&amp;theme=oea&amp;iframe_resize_id=mom5[\/embed]\n\n\n\n<\/div>","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<ul>\n<li>Translate statements from words into algebraic expressions involving subtraction<\/li>\n<li>Solve application problems involving subtraction<\/li>\n<\/ul>\n<\/div>\n<p>When we first introduced the operation symbols, we saw that the expression [latex]a-b[\/latex] may be read in several ways as shown below.<\/p>\n<p><img decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/04\/24220458\/CNX_BMath_Figure_03_03_025.png\" alt=\"This table has six rows. The first row has a - b. The second row states a minus b. The third row states the difference of a and b. The fourth row states subtract b from a. The fifth row states b subtracted from a. The sixth row states b less than a.\" \/><br \/>\nBe careful to get [latex]a[\/latex] and [latex]b[\/latex] in the right order!<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Translate and then simplify:<\/p>\n<ol>\n<li>The difference of [latex]13[\/latex] and [latex]-21[\/latex]<\/li>\n<li>Subtract [latex]24[\/latex] from [latex]-19[\/latex]<\/li>\n<\/ol>\n<p>Solution<br \/>\n1. A <em>difference<\/em> means subtraction. Subtract the numbers in the order they are given.<\/p>\n<table id=\"eip-id1168467306164\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\"This figure has three rows. The first row states the difference of 13 and negative 21. The second row states translate and has 13 minus negative 21. The third row states simplify and has 34.\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]\\text{the }\\color{red}{\\text{difference}}\\text{ of }13\\text{ and }--21[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]13--(--21)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]34[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><em>2. Subtract<\/em> means to take [latex]24[\/latex] away from [latex]-19[\/latex].<\/p>\n<table id=\"eip-id1168468668595\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\"This figure has three rows. The first row states the subtract 24 from negative 19. The second row states translate and has negative 19 minus 24. The third row states simplify and has negative 43.\">\n<tbody>\n<tr>\n<td><\/td>\n<td>[latex]\\color{red}{\\text{subtract }} 24\\color{red}{\\text{ from }}--19[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate.<\/td>\n<td>[latex]--19--24[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]--43[\/latex]<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox key-takeaways\">\n<h3>try it<\/h3>\n<p><iframe loading=\"lazy\" id=\"ohm144653\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=144653&#38;theme=oea&#38;iframe_resize_id=ohm144653&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Watch the following video to see more examples of how to translate an expression in words that represents subtraction into a mathematical expression.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Write and Determine a Difference Describing an Situation\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/yOeIxabFi0c?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<h3>Subtract Integers in Applications<\/h3>\n<p>It\u2019s hard to find something if we don\u2019t know what we\u2019re looking for or what to call it. So when we solve an application problem, we first need to determine what we are asked to find. Then we can write a phrase that gives the information to find it. We\u2019ll translate the phrase into an expression and then simplify the expression to get the answer. Finally, we summarize the answer in a sentence to make sure it makes sense.<\/p>\n<div class=\"textbox shaded\">\n<h3>Solve Application Problems<\/h3>\n<ol id=\"eip-id1168467238278\" class=\"stepwise\">\n<li>Identify what you are asked to find.<\/li>\n<li>Write a phrase that gives the information to find it.<\/li>\n<li>Translate the phrase to an expression.<\/li>\n<li>Simplify the expression.<\/li>\n<li>Answer the question with a complete sentence.<\/li>\n<\/ol>\n<\/div>\n<p>&nbsp;<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>The temperature in Urbana, Illinois one morning was [latex]11[\/latex] degrees Fahrenheit. By mid-afternoon, the temperature had dropped to [latex]-9[\/latex] degrees Fahrenheit. What was the difference between the morning and afternoon temperatures?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q899815\">Show Solution<\/span><\/p>\n<div id=\"q899815\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168467263240\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>Step 1. Identify what we are asked to find.<\/td>\n<td>the difference between the morning and afternoon temperatures<\/td>\n<\/tr>\n<tr>\n<td>Step 2. Write a phrase that gives the information to find it.<\/td>\n<td>the difference of [latex]11[\/latex] and [latex]-9[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Step 3. Translate the phrase to an expression.The word <em>difference<\/em> indicates subtraction.<\/p>\n<\/td>\n<td>[latex]11-\\left(-9\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Step 4. Simplify the expression.<\/td>\n<td>[latex]20[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Step 5. Write a complete sentence that answers the question.<\/td>\n<td>The difference in temperature was [latex]20[\/latex] degrees Fahrenheit.<\/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=\"ohm145206\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145206&#38;theme=oea&#38;iframe_resize_id=ohm145206&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Geography provides another application of negative numbers with the elevations of places below sea level.<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Dinesh hiked from Mt. Whitney, the highest point in California, to Death Valley, the lowest point. The elevation of Mt. Whitney is [latex]14,497[\/latex] feet above sea level and the elevation of Death Valley is [latex]282[\/latex] feet below sea level. What is the difference in elevation between Mt. Whitney and Death Valley?<\/p>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q128798\">Show Solution<\/span><\/p>\n<div id=\"q128798\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168468370720\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>Step 1. What are we asked to find?<\/td>\n<td>The difference in elevation between Mt. Whitney and Death Valley<\/td>\n<\/tr>\n<tr>\n<td>Step 2. Write a phrase.<\/td>\n<td>elevation of Mt. Whitney\u2212elevation of Death Valley<\/td>\n<\/tr>\n<tr>\n<td>Step 3. Translate.<\/td>\n<td>[latex]14,497-\\left(-282\\right)[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Step 4. Simplify.<\/td>\n<td>[latex]14,779[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Step 5. Write a complete sentence that answers the question.<\/td>\n<td>The difference in elevation is [latex]14,779[\/latex] feet.<\/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=\"ohm145207\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145207&#38;theme=oea&#38;iframe_resize_id=ohm145207&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p><iframe loading=\"lazy\" id=\"ohm145208\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145208&#38;theme=oea&#38;iframe_resize_id=ohm145208&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<\/div>\n<p>Managing your money can involve both positive and negative numbers. You might have overdraft protection on your checking account. This means the bank lets you write checks for more money than you have in your account (as long as they know they can get it back from you!)<\/p>\n<div class=\"textbox exercises\">\n<h3>example<\/h3>\n<p>Leslie has [latex]$25[\/latex] in her checking account and she writes a check for [latex]$8[\/latex]<\/p>\n<ol>\n<li>What is the balance after she writes the check?<\/li>\n<li>She writes a second check for [latex]$20[\/latex] What is the new balance after this check?<\/li>\n<li>Leslie\u2019s friend told her that she had lost a check for [latex]$10[\/latex] that Leslie had given her with her birthday card and would like her to write another one. What is the balance in Leslie\u2019s checking account now?<\/li>\n<\/ol>\n<div class=\"qa-wrapper\" style=\"display: block\"><span class=\"show-answer collapsed\" style=\"cursor: pointer\" data-target=\"q83739\">Show Solution<\/span><\/p>\n<div id=\"q83739\" class=\"hidden-answer\" style=\"display: none\">\n<p>Solution<\/p>\n<table id=\"eip-id1168466711056\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>1.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>What are we asked to find?<\/td>\n<td>The balance of the account<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>[latex]$25[\/latex] minus [latex]$8[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate<\/td>\n<td>[latex]$25--$8[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]$17[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence answer.<\/td>\n<td>The balance is [latex]$17[\/latex] .<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168469689180\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>2.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>What are we asked to find?<\/td>\n<td>The new balance<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>[latex]$17[\/latex] minus [latex]$20[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate<\/td>\n<td>[latex]$17--$20[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]--$3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence answer.<\/td>\n<td>She is overdrawn by [latex]$3[\/latex] .<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table id=\"eip-id1168469468765\" class=\"unnumbered unstyled\" style=\"width: 85%\" summary=\".\">\n<tbody>\n<tr>\n<td>3.<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>What are we asked to find?<\/td>\n<td>The new balance<\/td>\n<\/tr>\n<tr>\n<td>Write a phrase.<\/td>\n<td>[latex]$10[\/latex] more than [latex]-$3[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Translate<\/td>\n<td>[latex]--$3+$10[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Simplify.<\/td>\n<td>[latex]$7[\/latex]<\/td>\n<\/tr>\n<tr>\n<td>Write a sentence answer.<\/td>\n<td>The balance is now [latex]$7[\/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=\"ohm145244\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=145244&#38;theme=oea&#38;iframe_resize_id=ohm145244&#38;show_question_numbers\" width=\"100%\" height=\"150\"><\/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-3578\">\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>Write and Determine a Difference Describing an Situation. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/yOeIxabFi0c\">https:\/\/youtu.be\/yOeIxabFi0c<\/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: 144653, 145206, 145207, 145208, 145244. <strong>Authored by<\/strong>: Alyson Day. <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":25777,"menu_order":12,"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\":\"Write and Determine a Difference Describing an Situation\",\"author\":\"James Sousa (Mathispower4u.com)\",\"organization\":\"\",\"url\":\"https:\/\/youtu.be\/yOeIxabFi0c\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Question ID: 144653, 145206, 145207, 145208, 145244\",\"author\":\"Alyson 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