{"id":156292,"date":"2022-03-26T01:35:42","date_gmt":"2022-03-25T20:05:42","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/basics-of-algebra-rules-application-process-and-faqs\/"},"modified":"2022-12-22T21:38:09","modified_gmt":"2022-12-22T16:08:09","slug":"basics-of-algebra-rules-application-process-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/","title":{"rendered":"Basics of Algebra \u2013 Rules, Application, Process and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Algebra_Mathematics\" title=\"Algebra Mathematics\">Algebra Mathematics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Basic_Algebra\" title=\"Basic Algebra\">Basic Algebra<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Basic_Algebra_Rules\" title=\"Basic Algebra Rules\">Basic Algebra Rules<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Basic_Algebra_Operations\" title=\"Basic Algebra Operations\">Basic Algebra Operations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Basic_Algebra_Formula\" title=\"Basic Algebra Formula\">Basic Algebra Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Basic_Algebra_Examples\" title=\"Basic Algebra Examples\">Basic Algebra Examples<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Important_Point_to_Remember_while_Adding_and_Subtracting_Terms\" title=\"Important Point to Remember while Adding and Subtracting Terms\">Important Point to Remember while Adding and Subtracting Terms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/basics-of-algebra\/#Multiplying_and_Dividing_Like_Terms\" title=\"Multiplying and Dividing Like Terms\">Multiplying and Dividing Like Terms<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Algebra_Mathematics\"><\/span>Algebra Mathematics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Algebra is a branch of mathematics that uses letters and symbols to represent numbers and operations. Algebra is used to solve equations and to model real-world situations.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156291 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/basics-of-algebra-rules-application-process-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/basics-of-algebra-rules-application-process-and-faqs.jpg?v=1648238738 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/basics-of-algebra-rules-application-process-and-faqs-300x212.jpg?v=1648238738 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Basic_Algebra\"><\/span>Basic Algebra<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ol>\n<li>Exponent<\/li>\n<li>Expression<\/li>\n<li>Polynomial (Monomial, binomial and trinomial)<\/li>\n<li>Like terms and Unlike terms<\/li>\n<li>Constants<\/li>\n<\/ol>\n<p>An equation is a statement which implies two same identities separated by \u201c=\u201d sign. Whereas an expression is a group of different terms separated by \u2018+\u2019 or \u2018-\u2018 sign.<\/p>\n<p>Like terms are those terms whose variables and their exponents are same.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Basic_Algebra_Rules\"><\/span>Basic Algebra Rules<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The basic algebra rules are mentioned below:<\/p>\n<ul>\n<li>The Symmetry rule<\/li>\n<li>The commutative rules<\/li>\n<li>The inverse of adding<\/li>\n<li>Two rules for equation<\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Basic_Algebra_Operations\"><\/span>Basic Algebra Operations<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The general arithmetic operations performed in the case of algebra are:<\/p>\n<ul>\n<li>Addition: x + y<\/li>\n<li>Subtraction: x \u2013 y<\/li>\n<li>Multiplication: xy<\/li>\n<li>Division: x\/y or x \u00f7 y<\/li>\n<\/ul>\n<p>where x and y are the variables.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Basic_Algebra_Formula\"><\/span>Basic Algebra Formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The general formulas used in algebra to solve algebraic equations and find the values of unknown variables are given here:<\/p>\n<ul>\n<li>a<sup>2<\/sup> \u2013 b<sup>2<\/sup> = (a \u2013 b)(a + b)<\/li>\n<li>(a+b)<sup>2<\/sup> = a<sup>2<\/sup> + 2ab + b<sup>2<\/sup><\/li>\n<li>a<sup>2<\/sup> + b<sup>2<\/sup> = (a \u2013 b)<sup>2<\/sup> + 2ab<\/li>\n<li>(a \u2013 b)<sup>2<\/sup> = a<sup>2<\/sup> \u2013 2ab + b<sup>2<\/sup><\/li>\n<li>(a + b + c)<sup>2<\/sup> = a<sup>2<\/sup> + b<sup>2<\/sup> + c<sup>2<\/sup> + 2ab + 2ac + 2bc<\/li>\n<li>(a \u2013 b \u2013 c)<sup>2<\/sup> = a<sup>2<\/sup> + b<sup>2<\/sup> + c<sup>2<\/sup> \u2013 2ab \u2013 2ac + 2bc<\/li>\n<li>(a + b)<sup>3<\/sup> = a<sup>3<\/sup> + 3a<sup>2<\/sup>b + 3ab<sup>2<\/sup> + b<sup>3<\/sup><\/li>\n<li>(a \u2013 b)<sup>3<\/sup> = a<sup>3<\/sup> \u2013 3a<sup>2<\/sup>b + 3ab<sup>2<\/sup> \u2013 b<sup>3<\/sup><\/li>\n<\/ul>\n<h3><span class=\"ez-toc-section\" id=\"Basic_Algebra_Examples\"><\/span>Basic Algebra Examples<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Q 1: Find y, when, y + 15 = 30<\/strong><\/p>\n<p><strong>Solution:<\/strong> y = 30 \u2013 15<\/p>\n<p>y = 15<\/p>\n<p><strong>Q 2 : Find x, when, 9x = 63<\/strong><\/p>\n<p>Ans. x = 63\/9<\/p>\n<p>x = 7<\/p>\n<p><strong>Q.3: If x\/7 = 21, then find x.<\/strong><\/p>\n<p>Solution: Given x\/7 = 21<\/p>\n<p>or x = 21 x 7<\/p>\n<p>x = 147<\/p>\n<p><span style=\"font-size: 18pt;\"><strong>Following Are the Rules Commonly Performed in Algebra<\/strong><\/span><\/p>\n<p>1. Algebra is a type of mathematics that is used to solve equations.<\/p>\n<p>2. Algebra is used to solve equations by manipulating the variables within the equation.<\/p>\n<p>3. Algebra can be used to solve equations in one or more variables.<\/p>\n<p>4. Algebra can be used to solve equations in two or more variables.<\/p>\n<p>5. Algebra can be used to solve systems of equations.<\/p>\n<p>6. Algebra can be used to solve quadratic equations.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Important_Point_to_Remember_while_Adding_and_Subtracting_Terms\"><\/span>Important Point to Remember while Adding and Subtracting Terms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In order to add or subtract terms, one should first understand the order of operations. The order of operations is the order which operations should be completed in an equation in order to get the correct answer. The order of operations is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Multiplying_and_Dividing_Like_Terms\"><\/span>Multiplying and Dividing Like Terms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To multiply like terms, add the coefficients of the terms to be multiplied and then multiply the terms.<\/p>\n<p>To divide like terms, subtract the coefficients of the terms to be divided and then divide the terms.<\/p>\n<p>Example 1<\/p>\n<p>Multiply 3x + 2y and 5x \u2013 4y<\/p>\n<p>3x + 2y 5x \u2013 4y<\/p>\n<p>= 3x + 5x \u2013 2y \u2013 4y<br \/>\n= 8x \u2013 6y<\/p>\n<p>Example 2<\/p>\n<p>Divide 5x + 2y by 3x<\/p>\n<p>5x + 2y 3x<\/p>\n<p>= 5x + 2y 3x<br \/>\n= 5x + 6x<br \/>\n= 11x<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Algebra Mathematics Algebra is a branch of mathematics that uses letters and symbols to represent numbers and operations. Algebra is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Basics of Algebra \u2013 Rules, Application, Process and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about basics of algebra topic of maths in details explained by subject experts on infinitylearn.com. Register free for online tutoring session to clear your doubts.","custom_permalink":"maths\/basics-of-algebra\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Basics of Algebra \u2013 Rules, Application, Process and FAQs - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"Learn about basics of algebra topic of maths in details explained by subject experts on infinitylearn.com. 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