{"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

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 distributive property<\/a> to expand the expression.
\na(b + c) = a x b + a x c
\n2. Simplify the expression[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Use the distributive property to solve.<\/span><\/strong>
\n-2(5x + 4y)<\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]-2(5x + 4y)
\n1. Use the distributive property to expand the expression.
\na(b + c) = a x b + a x c
\n-2(5x + 4y)
\n-2(5x) + (-2)(4y)<\/p>\n

2. Simplify the expression
\n-2(5x) + (-2)(4y)
\n-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

Practice Problem 1<\/h5>\n

Drag the numbers to expand the expression using the distributive property.<\/span><\/strong>
\n\"Expanding<\/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

Practice Problem 2<\/h5>\n

Select the expression that is equivalent.
\n<\/span><\/strong>\"\\fn_phv
\n\"Expanding<\/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

Practice Problem 3<\/h5>\n

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.
\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.
\n\"Expanding<\/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]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″]Pre-requisite Skill<\/strong><\/span>
\nMultiplying 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;}”]Related Skills<\/strong><\/span>
\nWrite Expressions and Number Sentences<\/span><\/a>
\nEvaluate Variable Expressions-addition and subtraction<\/span><\/a>
\nWrite Variable Expressions – Word Problems<\/span><\/a>
\nEvaluate Expressions (Multiplication and Division)<\/span><\/a>
\nAlgebra: Variables and Expressions<\/span><\/a>
\nEvaluate Algebraic Expressions<\/span><\/a>
\nWrite Algebraic Expressions<\/span><\/a>
\nSimplifying Complex Algebraic Expressions<\/span><\/a>
\nAdd Linear Expressions<\/span><\/a>
\nSubtract Linear Expressions<\/span><\/a>
\nFactor 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” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F3rd-grade%2Fmaths|title:Grade%203%20Math||”][vc_btn title=”Grade 4″ color=”blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F4th-grade%2Fmaths|title:Grade%204%20Math||”][vc_btn title=”Grade 5″ color=”green” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F5th-grade%2Fmaths|title:Grade%205%20Math||”][vc_btn title=”Grade 6″ color=”info” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F6th-grade%2Fmaths|title:Grade%206%20Math||”][vc_btn title=”Grade 7″ color=”vista-blue” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F7th-grade%2Fmaths|title:Grade%207%20Math||”][vc_btn title=”Grade 8″ color=”mulled-wine” link=”url:https%3A%2F%2Foryxlearning.com%2Fgrade%2F8th-grade%2Fmaths|title:Grade%208%20Math||”][\/vc_column_inner][\/vc_row_inner][vc_row_inner equal_height=”yes” el_class=”btninlinespacing”][vc_column_inner][vc_btn title=”Addition” color=”warning” 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":"

[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":"\nExpanding expressions | Oryx Learning<\/title>\n<meta name=\"description\" content=\"Expand expressions Using distributive property..... Multiply the word outside the parentheses by every term within the parentheses.....\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/oryxlearning.com\/learn\/expanding-expressions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Expanding expressions\" \/>\n<meta property=\"og:description\" content=\"Expand expressions Using distributive property..... 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