{"id":427,"date":"2022-04-13T05:10:01","date_gmt":"2022-04-13T05:10:01","guid":{"rendered":"http:\/\/8thclass.deltapublications.in\/?page_id=427"},"modified":"2024-12-26T11:01:24","modified_gmt":"2024-12-26T11:01:24","slug":"v-13-simplify-variable-expressions-using-properties","status":"publish","type":"page","link":"https:\/\/8thclass.deltapublications.in\/index.php\/v-13-simplify-variable-expressions-using-properties\/","title":{"rendered":"V.13 Simplify variable expressions using properties"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Simplify variable expressions using properties<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-071aec683c99d954104ee0068dfb63f9\" style=\"color:#74008b\">Key notes:<\/p>\n\n\n\n<p class=\"has-large-font-size\">You&nbsp;can use properties of operations to write equivalent expressions. Here are some common&nbsp;properties:<\/p>\n\n\n\n<figure id=\"yui_3_18_1_1_1675419399372_1376\" class=\"wp-block-table\"><table><tbody><tr><td>Commutative&nbsp;property of&nbsp;addition<\/td><td>a+b=b+a<\/td><\/tr><tr><td>Commutative&nbsp;property of&nbsp;multiplication<\/td><td>ab=ba<\/td><\/tr><tr><td>Associative&nbsp;property of&nbsp;addition<\/td><td>(a+b)+c=a+(b+c)<\/td><\/tr><tr><td>Associative&nbsp;property of&nbsp;multiplication<\/td><td>(ab)c=a(bc)<\/td><\/tr><tr><td>Distributive&nbsp;property<\/td><td>a(b+c)=ab+ac<\/td><\/tr><\/tbody><\/table><\/figure>\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\" style=\"background-color:#b9f3cd\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-514dd1cf1e8b10cd91a0e4c543ff51cd\" style=\"color:#b00012\"><strong>Complete&nbsp;the&nbsp;expressions.<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Write&nbsp;each answer as a number, a variable, or the product of a number and a&nbsp;variable.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"988\" height=\"298\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-42.png\" alt=\"\" class=\"wp-image-13869\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-42.png 988w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-42-300x90.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-42-768x232.png 768w\" sizes=\"auto, (max-width: 988px) 100vw, 988px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-large-font-size\">Look&nbsp;at the first two&nbsp;expressions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"794\" height=\"165\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-43.png\" alt=\"\" class=\"wp-image-13871\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-43.png 794w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-43-300x62.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-43-768x160.png 768w\" sizes=\"auto, (max-width: 794px) 100vw, 794px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">Changing&nbsp;the order of factors does not change the product. These expressions are equivalent if the missing term is&nbsp;<\/p>\n\n\n\n<p><strong>4<\/strong>t<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"973\" height=\"206\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-44.png\" alt=\"\" class=\"wp-image-13873\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-44.png 973w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-44-300x64.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-44-768x163.png 768w\" sizes=\"auto, (max-width: 973px) 100vw, 973px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">Look&nbsp;at the last two&nbsp;expressions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"945\" height=\"214\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-45.png\" alt=\"\" class=\"wp-image-13875\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-45.png 945w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-45-300x68.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-45-768x174.png 768w\" sizes=\"auto, (max-width: 945px) 100vw, 945px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">These&nbsp;expressions are equivalent if the missing term is&nbsp;<\/p>\n\n\n\n<p><strong>12<\/strong>t<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"979\" height=\"201\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-46.png\" alt=\"\" class=\"wp-image-13876\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-46.png 979w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-46-300x62.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-46-768x158.png 768w\" sizes=\"auto, (max-width: 979px) 100vw, 979px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#b9c7fb\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-514dd1cf1e8b10cd91a0e4c543ff51cd\" style=\"color:#b00012\"><strong>Complete&nbsp;the&nbsp;expressions.<\/strong><\/p>\n\n\n\n<p class=\"has-large-font-size\">Write&nbsp;each answer as a number, a variable, or the product of a number and a&nbsp;variable.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"552\" height=\"159\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-47.png\" alt=\"\" class=\"wp-image-13881\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-47.png 552w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-47-300x86.png 300w\" sizes=\"auto, (max-width: 552px) 100vw, 552px\" \/><\/figure>\n<\/div><\/div>\n\n\n\n<p class=\"has-large-font-size\">Look&nbsp;at the first two&nbsp;expressions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"485\" height=\"115\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-48.png\" alt=\"\" class=\"wp-image-13882\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-48.png 485w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-48-300x71.png 300w\" sizes=\"auto, (max-width: 485px) 100vw, 485px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"548\" height=\"115\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-49.png\" alt=\"\" class=\"wp-image-13884\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-49.png 548w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-49-300x63.png 300w\" sizes=\"auto, (max-width: 548px) 100vw, 548px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">Look&nbsp;at the last two&nbsp;expressions.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"513\" height=\"104\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-50.png\" alt=\"\" class=\"wp-image-13885\" style=\"width:567px;height:auto\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-50.png 513w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/11\/image-50-300x61.png 300w\" sizes=\"auto, (max-width: 513px) 100vw, 513px\" \/><\/figure>\n\n\n\n<p class=\"has-large-font-size\">These&nbsp;expressions are equivalent if the missing term is&nbsp;<\/p>\n\n\n\n<p><strong>63<\/strong>q<\/p>\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\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-131.png\" alt=\"\" class=\"wp-image-8872\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-131.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-131-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-131-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/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\/84277\/255\/212\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-131.png\" alt=\"\" class=\"wp-image-8873\" srcset=\"https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-131.png 500w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-131-300x300.png 300w, https:\/\/8thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-131-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Simplify variable expressions using properties Key notes: You&nbsp;can use properties of operations to write equivalent expressions. Here are some common&nbsp;properties: Commutative&nbsp;property of&nbsp;addition a+b=b+a Commutative&nbsp;property of&nbsp;multiplication ab=ba Associative&nbsp;property of&nbsp;addition (a+b)+c=a+(b+c) Associative&nbsp;property of&nbsp;multiplication (ab)c=a(bc) Distributive&nbsp;property a(b+c)=ab+ac Learn with an example Complete&nbsp;the&nbsp;expressions. Write&nbsp;each answer as a number, a variable, or the product of a number and a&nbsp;variable. Look&nbsp;at<a class=\"more-link\" href=\"https:\/\/8thclass.deltapublications.in\/index.php\/v-13-simplify-variable-expressions-using-properties\/\">Continue reading <span class=\"screen-reader-text\">&#8220;V.13 Simplify variable expressions using properties&#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-427","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_hostinger_reach_plugin_has_subscription_block":false,"_hostinger_reach_plugin_is_elementor":false,"_links":{"self":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/427","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=427"}],"version-history":[{"count":18,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/427\/revisions"}],"predecessor-version":[{"id":19450,"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/427\/revisions\/19450"}],"wp:attachment":[{"href":"https:\/\/8thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=427"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}