{"id":5454,"date":"2022-02-06T17:16:50","date_gmt":"2022-02-06T17:16:50","guid":{"rendered":"https:\/\/oryxlearning.com\/company\/?page_id=5454"},"modified":"2022-02-28T15:52:31","modified_gmt":"2022-02-28T15:52:31","slug":"addition-of-algebraic-expressions","status":"publish","type":"page","link":"https:\/\/oryxlearning.com\/learn\/addition-of-algebraic-expressions\/","title":{"rendered":"Addition of Algebraic 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<h5>Addition of Algebraic Expressions<\/h5>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In mathematics, just like we add many numbers as we can and find the sum, we add two or many algebraic expressions too. However, for the addition of algebraic expressions, we combine all the like terms and then add them.<\/p>\n<p>Like terms are the terms that have the same power for the same variables. In like terms, one can only change the numerical coefficient. Terms that have different variables or the same variables raised to different powers are known as, unlike terms.[\/vc_column_text][vc_column_text el_class=”headingnew”]Rules[\/vc_column_text][vc_column_text]There are two methods to do the addition of algebraic expressions:<br \/>\nHorizontal method of Addition of Algebraic Expressions<br \/>\nColumn method for Addition of Algebraic Expressions<\/p>\n<p><strong>Horizontal method of Addition of Algebraic Expressions<\/strong><br \/>\n1. Write all the expressions in a horizontal line by putting them into brackets and put an addition sign in between.<br \/>\n2. Group all the like terms together from all the expressions and rewrite the expression so formed.<br \/>\n3. Add numerical coefficients of all the like terms followed by the common variable.<br \/>\n4. Rewrite the simplified expression, and make sure all the terms in the final answer should be unlike terms.<\/p>\n<p><strong>Column method for Addition of Algebraic Expressions<\/strong><br \/>\n1. Write all the expressions one below the other. Make sure to like terms in one column. If there a term whose like term is not there in the second expression, then either write below it or leave that column blank.<br \/>\n2. Add the numerical coefficient of each column (like terms) and write below it in the same column followed by the common variable.<br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]<strong><span style=\"color: #16a085;\">Add.<\/span><\/strong><br \/>\n<strong>(-4x + 3) + (-2x + 8)<\/strong><br \/>\n[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]<strong>Column method for Addition of Algebraic Expressions<\/strong><\/p>\n<p>Arrange like terms in columns.<\/p>\n<div>\u00a0 \u00a0 -4x + 3<\/div>\n<p><u>+ -2x + 8\u00a0<\/u><br \/>\n<u>\u00a0 \u00a0-6x + 11<\/u><\/p>\n<p>So, (-4x + 3) + (-2x + 8) =<strong> <span style=\"color: red;\">-6x + 11<\/span><\/strong><\/p>\n<p><strong>Horizontal method of Addition of Algebraic Expressions<\/strong><\/p>\n<p>(-4x + 3) + (-2x + 8)<br \/>\n= -4x – 2x + 3 + 8<br \/>\n= -6x + 11<\/p>\n<p>So, (-4x + 3) + (-2x + 8) = <strong><span style=\"color: red;\">-6x + 11<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Addition of Algebraic 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;\">Add.<\/span><\/strong><br \/>\n(-3y – 4) + (8y + 5)<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-linear-expressions\"><img loading=\"lazy\" class=\"alignnone wp-image-5368 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-23.png\" alt=\" Addition of Algebraic Expressions Practice Problem 1\" width=\"105\" height=\"43\" \/><\/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\/add-linear-expressions”][\/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;\">Add.<\/span><\/strong><br \/>\n<img style=\"margin-top: 10px; margin-bottom: 10px;\" src=\"https:\/\/latex.codecogs.com\/svg.latex?\\fn_phv&space;4(-\\frac{1}{2}y-\\frac{1}{4})+(-8y+1)\" alt=\"\\fn_phv 4(-\\frac{1}{2}y-\\frac{1}{4})+(-8y+1)\" align=\"absmiddle\" \/><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-linear-expressions\"><img loading=\"lazy\" class=\"alignnone wp-image-5368 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-23.png\" alt=\" Addition of Algebraic Expressions Practice Problem 2\" width=\"105\" height=\"43\" \/><\/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\/add-linear-expressions”][\/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;\">Add.<\/span><\/strong><br \/>\n(x – 5.1) + 2(-5x + 1.5)<br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/add-linear-expressions\"><img loading=\"lazy\" class=\"alignnone wp-image-5368 size-full\" style=\"margin-top: 10px;\" src=\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1-23.png\" alt=\" Addition of Algebraic Expressions Practice Problem 3\" width=\"105\" height=\"43\" \/><\/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\/add-linear-expressions”][\/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>Linear Expression<\/strong> \u2013 an algebraic expression in which the variable is raised to the first power, and variables are not multiplied or divided.<\/p>\n<p><strong>Term<\/strong> \u2013 either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or \u2212 signs.<\/p>\n<p><strong>Like terms<\/strong> – Terms that have the same power for the same variables. In like terms, one can only change the numerical coefficient.<\/p>\n<p><strong>Unlike terms<\/strong> – Terms that have different variables or the same variables raised to different powers.<\/p>\n<p><strong>Distributive Property<\/strong> \u2013 to multiply a sum or difference by a number, multiply each term inside the parenthesis by the number outside the parenthesis.<\/p>\n<p><strong>Constant<\/strong> \u2013 a term without a variable.<\/p>\n<p><strong>Variable<\/strong> – In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation or expression.<\/p>\n<p><strong>Coefficient<\/strong> – is an integer that is multiplied with the variable of a single term or the terms of a polynomial.[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]<span style=\"color: #ed5600;\"><strong>Pre-requisite Skills<\/strong><\/span><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/evaluate-variable-expressions-addition-and-subtraction\"><span style=\"color: #ed5600;\">Evaluate Variable Expressions-addition and subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/evaluate-expressions-multiplication-and-division\"><span style=\"color: #ed5600;\">Evaluate Expressions (Multiplication and Division)<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/solve-algebraic-equations-addition-and-subtraction\"><span style=\"color: #ed5600;\">Solve Algebraic Equations – Addition and Subtraction<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/5th-grade\/solve-algebraic-equations-multiplication-and-division\"><span style=\"color: #ed5600;\">Solve Algebraic Equations – Multiplication and Division<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/evaluate-algebraic-expressions\"><span style=\"color: #ed5600;\">Evaluate Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/write-algebraic-expressions\"><span style=\"color: #ed5600;\">Write Algebraic Expressions<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/arithmetic-sequences\"><span style=\"color: #ed5600;\">Arithmetic Sequences<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/geometric-sequences\"><span style=\"color: #ed5600;\">Geometric Sequences<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/the-distributive-property\"><span style=\"color: #ed5600;\">The Distributive Property<\/span><\/a><br \/>\n<a href=\"https:\/\/en.oryxlearning.com\/question\/maths\/7th-grade\/simplifying-complex-algebraic-expressions\"><span style=\"color: #ed5600;\">Simplifying Complex Algebraic Expressions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1637559433899{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\/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” 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” 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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] Addition of Algebraic Expressions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In mathematics, just like we add many numbers as we can and find the sum, we add two or many algebraic expressions too. However, for the addition […]<\/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>Addition of Algebraic Expressions | Oryx Learning<\/title>\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\/addition-of-algebraic-expressions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Addition of Algebraic Expressions\" \/>\n<meta property=\"og:description\" content=\"[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] Addition of Algebraic Expressions [\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”headingnew”]Concept[\/vc_column_text][vc_column_text]In mathematics, just like we add many numbers as we can and find the sum, we add two or many algebraic expressions too. 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