{"id":246,"date":"2022-04-13T08:49:06","date_gmt":"2022-04-13T08:49:06","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=246"},"modified":"2025-04-09T11:36:05","modified_gmt":"2025-04-09T11:36:05","slug":"n-10-solve-linear-equations-word-problems","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/n-10-solve-linear-equations-word-problems\/","title":{"rendered":"N.10 Solve linear equations: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Solve linear equations: word problems<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-869a5c0b6b78055316c8d0186252dcbd\" style=\"color:#74008b\"><strong>key notes :<\/strong><\/p>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-4d61fb7116d0a16c83c0437b127c1cd8\" style=\"color:#000060\"><strong>Understand What a Word Problem Is<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>A word problem describes a real-life situation using words.<\/li>\n\n\n\n<li>Your job is to translate those words into a <strong>mathematical equation<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-23b45c33b1f13caeee70444ea22fa58e\" style=\"color:#000060\"><strong>Identify the Unknown<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Decide what you&#8217;re solving for (usually labeled as <strong>x<\/strong>).<\/li>\n\n\n\n<li>Example: <em>\u201cA number increased by 5 is 12\u201d<\/em> \u2192 Let the number be <strong>x<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-cf440cb40caa3509adf4fe611c041cea\" style=\"color:#000060\"><strong>Translate Words into Algebraic Expressions<\/strong><\/h4>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-db73fb3326301e6a781037de6bbf94e0\" style=\"color:#000060\"><strong>Keywords and their meanings<\/strong>:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li><em>Sum \/ increased by \/ more than<\/em> \u2192 <strong>Addition<\/strong><\/li>\n\n\n\n<li><em>Difference \/ decreased by \/ less than<\/em> \u2192 <strong>Subtraction<\/strong><\/li>\n\n\n\n<li><em>Product \/ times<\/em> \u2192 <strong>Multiplication<\/strong><\/li>\n\n\n\n<li><em>Quotient \/ divided by<\/em> \u2192 <strong>Division<\/strong><\/li>\n\n\n\n<li><em>Equals \/ is \/ results in<\/em> \u2192 <strong>=<\/strong><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-5b0575a1d13cad221054bebca4613068\" style=\"color:#000060\"><strong>Write the Linear Equation<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Based on the expressions from the word problem.<\/li>\n\n\n\n<li>Example: <em>\u201cTwice a number decreased by 4 is 10\u201d<\/em> \u2192<br>\u2192 2x\u22124=102<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-9b6359ece9636dca6b01b81e9a0e84ec\" style=\"color:#000060\"><strong>Solve the Equation<\/strong><\/h4>\n\n\n\n<p class=\"has-large-font-size\">Use inverse operations to isolate the variable (<strong>x<\/strong>).<\/p>\n\n\n\n<p class=\"has-large-font-size\">Steps:<\/p>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Simplify both sides.<\/li>\n\n\n\n<li>Add or subtract terms.<\/li>\n\n\n\n<li>Multiply or divide to find the value of <strong>x<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color wp-elements-80e7ba2325ad162aad588753cdd0a7a6\" style=\"color:#000060\"><strong>Check Your Solution<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Plug your value of <strong>x<\/strong> back into the original word problem.<\/li>\n\n\n\n<li>Make sure it makes sense in the real-world context.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<h4 class=\"wp-block-heading has-text-color has-link-color has-large-font-size wp-elements-e4107e8524c0748c2048a4469bbde767\" style=\"color:#000060\"><strong>Common Types of Word Problems<\/strong><\/h4>\n\n\n\n<ul class=\"has-large-font-size wp-block-list\">\n<li>Age problems<\/li>\n\n\n\n<li>Number problems<\/li>\n\n\n\n<li>Money problems<\/li>\n\n\n\n<li>Distance = Speed \u00d7 Time problems<\/li>\n\n\n\n<li>Geometry problems (perimeter, area)<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f3a1a1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Gina learns 3 new starter recipes during each week of culinary school. After 14 weeks of culinary school , how many total starter recipes will Gina know?<\/strong><\/p>\n\n\n\n<p>_______starter recipes.<\/p>\n<\/div><\/div>\n\n\n\n<p>Write an equation that shows the relationship between the number of weeks Gina attends culinary school and the number of starter recipes she knows&nbsp;<em>a<\/em>. Then solve.<\/p>\n\n\n\n<p>a=3 . 14<\/p>\n\n\n\n<p>a=42  multiply<\/p>\n\n\n\n<p>After 14 weeks of culinary school, Gina will know a total of 42 starter recipes.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#96cce1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Bridget has already written 2 pages ,and she expects to write 1 page for every additional hour spent writing. After spending 45 hours writing this week, how many pages will Bridget have written in total?<\/strong><\/p>\n\n\n\n<p>_______pages<\/p>\n<\/div><\/div>\n\n\n\n<p>Write an equation that shows the relationship between the amount of time spent writing and number of pages written&nbsp;<em>p<\/em>. Then solve.<\/p>\n\n\n\n<p><em>p<\/em>&nbsp;=&nbsp;1 \u00b7 45 + 2<\/p>\n\n\n\n<p><em>p<\/em>&nbsp;=&nbsp;45 + 2     Multiply<\/p>\n\n\n\n<p><em>p<\/em>&nbsp;=&nbsp;47    Add<\/p>\n\n\n\n<p>After spending 45 hours writing this week, Bridget will have written a total of 47 pages.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f2dfac\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>Valentina walks 3 kilometres during each trip to school. After 6 trips to school, how many kilometres will Valentina have walked in total?&nbsp;<\/strong><\/p>\n\n\n\n<p>_______kilometres.<\/p>\n<\/div><\/div>\n\n\n\n<p>Write an equation that shows the relationship between the number of trips to school and the total distance walked&nbsp;d. Then solve.<\/p>\n\n\n\n<p><em>d<\/em>&nbsp;=&nbsp;3 \u00b7 6<\/p>\n\n\n\n<p><em>d<\/em>&nbsp;=&nbsp;18    Multiply<\/p>\n\n\n\n<p>After 6 trips to school ,Valentina will have walked 18 kilometres.<\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/90153\/850\/244\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90.png\" alt=\"\" class=\"wp-image-7962\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-90-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/90076\/844\/423\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-99.png\" alt=\"\" class=\"wp-image-7963\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-99.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-99-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-99-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve linear equations: word problems key notes : Understand What a Word Problem Is Identify the Unknown Translate Words into Algebraic Expressions Keywords and their meanings: Write the Linear Equation Solve the Equation Use inverse operations to isolate the variable (x). Steps: Check Your Solution Common Types of Word Problems Learn with an example Gina<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/n-10-solve-linear-equations-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;N.10 Solve linear equations: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-246","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/246","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=246"}],"version-history":[{"count":19,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/246\/revisions"}],"predecessor-version":[{"id":16700,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/246\/revisions\/16700"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=246"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}