{"id":2410,"date":"2022-01-05T19:48:53","date_gmt":"2022-01-05T19:48:53","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=2410"},"modified":"2022-02-28T18:53:53","modified_gmt":"2022-02-28T18:53:53","slug":"expanding-expressions","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/expanding-expressions\/","title":{"rendered":"Expanding expressions"},"content":{"rendered":"[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text]\n<h1>Expanding expressions<\/h1>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Some expressions use parentheses to show multiplication. When you expand an expression, you get rid of those parentheses. You can use the distributive property to expand expressions. Multiply the term outside the parentheses by each term inside the parentheses. Then add those products.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]1. Use the <a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/distributive-property-of-multiplication\">distributive property<\/a> to expand the expression.<br \/>\na(b + c) = a x b + a x c<br \/>\n2. Simplify the expression[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Use the distributive property to solve.<\/span><\/strong><br \/>\n<strong>-2(5x + 4y)<\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]-2(5x + 4y)<br \/>\n1. Use the distributive property to expand the expression.<br \/>\na(b + c) = a x b + a x c<br \/>\n-2(5x + 4y)<br \/>\n-2(5x) + (-2)(4y)<\/p>\n<p>2. Simplify the expression<br \/>\n-2(5x) + (-2)(4y)<br \/>\n<span style=\"color: #ff0000;\">-10x – 8y<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Expanding Expressions[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 1<\/h5>\n<p><strong><span style=\"color: #16a085;\">Drag the numbers to expand the expression using the distributive property.<\/span><\/strong><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property\"><img loading=\"lazy\" class=\"alignnone wp-image-2954 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/1-21.png\" alt=\"Expanding expressions Practice Problem 1\" width=\"275\" height=\"123\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 2<\/h5>\n<p><strong><span style=\"color: #16a085;\">Select the expression that is equivalent.<br \/>\n<\/span><\/strong><img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;5.2\\times&space;(-\\frac{7}{8})-5.2\\times8\" alt=\"\\fn_phv 5.2\\times (-\\frac{7}{8})-5.2\\times8\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property\"><img loading=\"lazy\" class=\"alignnone wp-image-2956 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/2-17.png\" alt=\"Expanding expressions Practice Problem 2\" width=\"214\" height=\"112\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n<h5 style=\"margin-bottom: 10px;\">Practice Problem 3<\/h5>\n<p><strong><span style=\"color: #16a085;\">Michael had $25 in his wallet. He spent $12.75 on the taxi, and his Grandpa gave him 3 times what he now has in his wallet.<br \/>\n<\/span><\/strong>Write an expression using the distributive property to represent the total amount. Then simplify the expression to find how much money Michael has in his wallet.<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property\"><img loading=\"lazy\" class=\"alignnone wp-image-2960 size-full\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/4-10.png\" alt=\"Expanding expressions Practice Problem 3\" width=\"240\" height=\"65\" \/><\/a><\/p>\n[\/vc_column_text][vc_single_image image=”2159″ img_size=”full” alignment=”right” onclick=”custom_link” link=”https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property”][\/vc_column_inner][\/vc_row_inner][vc_empty_space][\/vc_column][vc_column width=”1\/3″ css=”.vc_custom_1633369011398{margin-bottom: 50px !important;}”][vc_row_inner el_class=”stickynotee”][vc_column_inner][vc_single_image image=”2265″ img_size=”full” alignment=”center” css_animation=”fadeIn” css=”.vc_custom_1633509989314{border-radius: 10px !important;}” el_class=”stickypin”][vc_column_text]<strong>Distributive Property<\/strong> \u2013 to multiply a sum or difference by a number, multiply each term inside the parentheses by the number outside the parentheses.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skill<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/multiplying-using-basic-facts-and-patterns\"><span style=\"color: #ed5600;\">Multiplying Using Basic Facts and Patterns<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1635232144391{border-top-width: 7px !important;border-right-width: 7px !important;border-bottom-width: 7px !important;border-left-width: 7px !important;background-position: center !important;background-repeat: no-repeat !important;background-size: contain !important;border-left-color: #333399 !important;border-left-style: solid !important;border-right-color: #333399 !important;border-right-style: solid !important;border-top-color: #333399 !important;border-top-style: solid !important;border-bottom-color: #333399 !important;border-bottom-style: solid !important;border-radius: 35px !important;}”]<span style=\"color: #333399;\"><strong>Related Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/4th-grade\/write-expressions-and-number-sentences\"><span style=\"color: #333399;\">Write Expressions and Number Sentences<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/evaluate-variable-expressions-addition-and-subtraction\"><span style=\"color: #333399;\">Evaluate Variable Expressions-addition and subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/write-variable-expressions-word-problems\"><span style=\"color: #333399;\">Write Variable Expressions – Word Problems<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/evaluate-expressions-multiplication-and-division\"><span style=\"color: #333399;\">Evaluate Expressions (Multiplication and Division)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/6th-grade\/algebra-variables-and-expressions\"><span style=\"color: #333399;\">Algebra: Variables and Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/evaluate-algebraic-expressions\"><span style=\"color: #333399;\">Evaluate Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/write-algebraic-expressions\"><span style=\"color: #333399;\">Write Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/simplifying-complex-algebraic-expressions\"><span style=\"color: #333399;\">Simplifying Complex Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-linear-expressions\"><span style=\"color: #333399;\">Add Linear Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/subtract-linear-expressions\"><span style=\"color: #333399;\">Subtract Linear Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/factor-linear-expressions\"><span style=\"color: #333399;\">Factor Linear Expressions<\/span><\/a>[\/vc_column_text][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Grade 1″ color=”warning” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F1st-grade%2Fmaths|title:Grade%201%20Math||”][vc_btn title=”Grade 2″ color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F2nd-grade%2Fmaths|title:Grade%202%20Math||”][vc_btn title=”Grade 3″ color=”violet” 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link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Faddition|title:Addition||”][vc_btn title=”Algebra” color=”danger” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Falgebra|title:Algebra||”][vc_btn title=”Functions and equations” color=”violet” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Ffunctions-and-equations|title:Functions%20and%20equations||”][vc_btn title=”Properties of operation” color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fproperties-of-operation|title:Properties%20of%20operation||”][vc_btn title=”Word Problems” color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Ftopics%2Fmaths%2Fword-problems|title:Word%20Problems||”][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][\/vc_section]\n","protected":false},"excerpt":{"rendered":"<p>[vc_section full_width=”stretch_row” content_placement=”middle” css=”.vc_custom_1633364343825{background-image: url(https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/10\/10-min-scaled.jpg?id=2121) !important;background-position: center !important;background-repeat: no-repeat !important;background-size: cover !important;}” el_id=”bg-sec”][vc_row full_width=”stretch_row_content” el_class=”faaaq”][vc_column width=”1\/12″][\/vc_column][vc_column width=”1\/2″][vc_row_inner content_placement=”middle” el_class=”topheadingg”][vc_column_inner width=”1\/6″][vc_single_image image=”2283″ img_size=”full”][\/vc_column_inner][vc_column_inner width=”5\/6″][vc_column_text] Expanding expressions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]Some expressions use parentheses to show multiplication. When you expand an expression, you get rid of those parentheses. You can use the distributive property to expand expressions. Multiply the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.0 (Yoast SEO v17.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Expanding expressions | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Expand expressions Using distributive property..... 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