\nHorizontal method of Subtraction of Algebraic Expressions
\nColumn method for Subtraction of Algebraic Expressions<\/p>\n
Horizontal method of Subtraction of Algebraic Expressions<\/strong> Column method for Subtraction of Algebraic Expressions<\/strong> 2. Group by like terms and use additive inverses to solve. When x = 4, 9 more cheese pizzas were ordered than pepperoni.<\/span>[\/vc_column_text][vc_column_text el_class=”headingnew”]Practice Subtracting Algebraic Expressions Word Problems[\/vc_column_text][vc_row_inner el_class=”boxxborder”][vc_column_inner][vc_column_text]\n Carol is (2x – 1) years old. Her brother Gary is (x + 1) years younger than Carol. Their aunt Helen is 6 times as old as Gary. Write and simplify an expression that represents Helen\u2019s age. Find the number that represents Helen\u2019s age if x = 7. <\/span><\/strong> Write a linear expression in the simplest form to represent the side of the triangle if the perimeter is represented by (13x – 1) centimeters. <\/span><\/strong> Ruth’s number of stickers is represented by 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.[\/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] Subtracting 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 subtract many numbers as we can and find the difference, we subtract 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 a subtraction sign in between.
\n2. Change the subtraction to addition by using the additive inverse.
\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. Change the subtraction to addition by using the additive inverse.
\n2. 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.
\n3. 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]The number of pepperoni pizza ordered in one evening is represented by 3x + 1. The number of cheese pizza ordered is represented by 6x – 2. How many more cheese pizzas were ordered than pepperoni, if = 4? <\/span><\/strong>[\/vc_column_text][vc_column_text el_class=”headingnew”]Solution[\/vc_column_text][vc_column_text]1. Write the expression showing cheese pizzas minus pepperoni pizzas.
\n(6x \u2013 2) \u2013 (3x + 1)<\/p>\n
\n6x \u2013 2 + (-3x \u2013 1)\u00a0 \u00a0 The additive inverse of 3x + 1 is (-3x \u2013 1)<\/strong>
\n= (6x – 3x) + (-2 – 1)
\n= 3x – 3<\/p>\n
\n3x – 3
\n3(4) \u2013 3
\n12 \u2013 3 = 9<\/p>\nPractice Problem 1<\/h5>\n
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/54.png\")
<\/a>[\/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\/subtract-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![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/1600778246552.png\")
<\/a>
\nFind the side of the triangle if x = 3. <\/span><\/strong>
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/55-1.png\")
<\/a>[\/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\/subtract-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
(8x + 2). She gave (x + 1) to her friend Mark. Write and simplify the expression that represents the remaining number of Ruth’s stickers. Find the remaining number of Ruth’s stickers if x = 6.<\/span><\/strong>
\n![\"\"](\"https:\/\/oryxlearning.com\/learn\/wp-content\/uploads\/2021\/11\/56.png\")
<\/a>[\/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\/subtract-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]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
\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>
\nThe Distributive Property<\/span><\/a>
\nSimplifying Complex Algebraic Expressions<\/span><\/a>
\nAdd Linear Expressions<\/span><\/a>[\/vc_column_text][vc_column_text el_class=”boxxborder2″ css=”.vc_custom_1637585757988{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>
\nFactor Linear Expressions<\/span><\/a>
\nSolve One-Step Equations by Addition and Subtraction<\/a><\/span>
\nSolve One-Step Equations by Multiplying and Dividing<\/a><\/span>
\nSolve Equations with Rational Coefficients<\/a><\/span>
\nSolve Two-Step Equations<\/a><\/span>
\nSolve Complex Equations<\/a><\/span>[\/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=”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=”Subtraction” color=”warning” link=”url:https%3A%2F%2Fen.oryxlearning.com%2Ftopics%2Fmaths%2Fsubtraction|title:Subtraction”][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":"