\n[\/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:<\/strong>
\nHorizontal method of Addition of Algebraic Expressions
\nColumn method for Addition of Algebraic Expressions<\/p>\n
Horizontal method of Addition of Algebraic Expressions<\/strong> Column method for Addition of Algebraic Expressions<\/strong> p = 2(x – 1) + 2(2x + 4) When x = 5, the perimeter will be:<\/p>\n p = 6x + 6 Linear expression in simplest form: p = 6x + 6<\/span><\/strong> Susan is 5x – 2 years old. Her brother Mark is (-x + 1) years older than Susan. Their father Kevin is 7 times as old as Mark. Simplify the expression that represents Kevin\u2019s age. Then find the number that represents Kevin\u2019s age if x = 2.<\/span><\/strong> Robert bought 3 chocolates at (x + 1) dollars each, and 2 cupcakes at (2x – 5) dollars each. Simplify the expression. Then find the total cost if x = 5.<\/span><\/strong> Write a linear expression in simplest form to represent the perimeter of the triangle. Then find the perimeter if x = 3.6 centimeters, rounded to the nearest tenth.<\/span><\/strong> Math Vocabulary<\/strong><\/span><\/p>\n 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 Term<\/strong> \u2013 either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or \u2212 signs.<\/p>\n 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 Unlike terms<\/strong> – Terms that have different variables or the same variables raised to different powers.<\/p>\n 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 Constant<\/strong> \u2013 a term without a variable.<\/p>\n Variable<\/strong> – In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation or expression.<\/p>\n Coefficient<\/strong> – is an integer that is multiplied with the variable of a single term or the terms of a polynomial.<\/p>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][vc_column_text el_class=”boxxborder2″]Pre-requisite Skills<\/strong><\/span> [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] Adding Algebraic Expressions Word Problems [\/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 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"\n
\n1. Write all the expressions in a horizontal line by putting them into brackets and put an addition sign in between.
\n2. Group all the like terms together from all the expressions and rewrite the expression so formed.
\n3. Add numerical coefficients of all the like terms followed by the common variable.
\n4. Rewrite the simplified expression, and make sure all the terms in the final answer should be unlike terms.<\/p>\n
\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.
\n2. Add the numerical coefficient of each column (like terms) and write below it in the same column followed by the common variable. [\/vc_column_text][vc_column_text el_class=”headingnew”]Example[\/vc_column_text][vc_column_text]Write a linear expression in simplest form to represent the perimeter of the rhombus. Then find the perimeter if x = 5 centimeters.<\/span><\/strong>
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1600688137630.png\")
<\/a>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]We know that the perimeter of a rhombus p = 2l + 2w<\/p>\n
\np = (2x – 2) + (4x + 8)
\np = 6x + 6<\/p>\n
\n6(5) + 6 = 36<\/p>\n
\nPerimeter = 36 cm<\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Adding Algebraic Expressions Word Problems[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\nPractice Problem 1<\/h5>\n
\n![\"Adding](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/51.png\")
<\/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]\nPractice Problem 2<\/h5>\n
\n![\"Adding](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/52.png\")
<\/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]\nPractice Problem 3<\/h5>\n
\n![\"Adding](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1600687874395.png\")
<\/a>
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/53.png\")
<\/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]\n
\nEvaluate Variable Expressions-addition and subtraction<\/span><\/a>
\nEvaluate Expressions (Multiplication and Division)<\/span><\/a>
\nSolve Algebraic Equations – Addition and Subtraction<\/span><\/a>
\nSolve Algebraic Equations – Multiplication and Division<\/span><\/a>
\nEvaluate Algebraic Expressions<\/span><\/a>
\nWrite Algebraic Expressions<\/span><\/a>
\nArithmetic Sequences<\/span><\/a>
\nGeometric Sequences<\/span><\/a>
\nThe Distributive Property<\/span><\/a>
\nSimplifying 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;}”]Related Skills<\/strong><\/span>
\nSubtract Linear Expressions<\/span><\/a>
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