{"id":2205,"date":"2022-04-27T06:33:55","date_gmt":"2022-04-27T06:33:55","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=2205"},"modified":"2024-01-23T15:28:08","modified_gmt":"2024-01-23T15:28:08","slug":"equation-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation","title":{"rendered":"Equation &#8211; Definition, Types, Examples, Practice Problems"},"content":{"rendered":"\n<div class=\"wp-block-columns eplus-wrapper is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column eplus-wrapper is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\tMath-Vocabulary\n<\/span><\/div>\n\n<div class=\"ub_table-of-contents\" data-showtext=\"show\" data-hidetext=\"hide\" data-scrolltype=\"auto\" id=\"ub_table-of-contents-aab731c3-a76f-4f9e-aafd-a679ba5334ff\" data-initiallyhideonmobile=\"false\"\n                    data-initiallyshow=\"true\"><div class=\"ub_table-of-contents-extra-container\"><div class=\"ub_table-of-contents-container ub_table-of-contents-1-column \"><ul><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#0-example-of-an-equation->Example of an Equation:<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#1-different-types-of-equations>Different Types of Equations:<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#2-expression-vs-equation->Expression vs Equation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#3-what-is-a-solution-of-an-equation>What is a Solution of an Equation?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#4-how-to-solve-linear-equations-with-one-variable>How to Solve Linear Equations with One Variable<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#5-solved-examples-on-equation>Solved Examples On Equation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#6-practice-problems-on-equation>Practice Problems On Equation<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#7-conclusion>Conclusion<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation#8-frequently-asked-questions-on-equation>Frequently Asked Questions On Equation<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<p class=\"eplus-wrapper\">There are numerous ways in which one may <strong>define<\/strong> an equation. In its simplest form in algebra, the <strong>definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.<\/strong> For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an \u2018equal\u2019 sign. The most basic and simple algebraic equations consist of one or more <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\" target=\"_blank\" rel=\"noopener\" title=\"\">variables in math<\/a>.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-example-of-an-equation-\"><strong>Example of an Equation:<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">4y + 2 = 18<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4&#215;2 + 3x \u2212 28 = 0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">9m = 49.5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{u}{6}$ = 8<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Non examples of an Equation:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">k + 7<\/p>\n\n\n\n<p class=\"eplus-wrapper\">u + w<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x$^{3}$ + 5x<\/p>\n\n\n\n<p class=\"eplus-wrapper\">9t<\/p>\n\n\n\n<div id=\"recommended-games-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Games<\/h4><div class=\"recommended-games-container-slides\"><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/10-and-100-more-than-the-same-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_1_10_100_more_same_num_pt.png\" alt=\"10 and 100 More than the Same Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">10 and 100 More than the Same Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_make_10_pt.png\" alt=\"Add 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-10-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_10_number_pt.png\" alt=\"Add 10 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 10 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-100-to-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_100_horizontal_pt.png\" alt=\"Add 100 to a 3-Digit Number Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 100 to a 3-Digit Number Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-and-1-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_2d_1d_match_pt.png\" alt=\"Add 2-Digit and 1-Digit Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit and 1-Digit Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-2-digit-numbers-by-regrouping\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_pv_add_regrp_2d_2d_vertical_pt.png\" alt=\"Add 2-Digit Numbers By Regrouping Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 2-Digit Numbers By Regrouping Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_pt.png\" alt=\"Add 3 Numbers Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-in-any-order\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_shifty_bridges_4_gm.png\" alt=\"Add 3 Numbers in Any Order Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers in Any Order Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-groups-of-objects\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_using_model_pt.png\" alt=\"Add 3 Numbers Using Groups of Objects Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers Using Groups of Objects Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><div class=\"game-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-games\/add-3-numbers-using-model\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"games_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t\t<div class=\"game-card-container-inner-block\">\r\n\t\t\t<img decoding=\"async\" class=\"game-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/curriculum_uploads\/images\/playables\/add_sub_facts_add_3_no_using_models_pt.png\" alt=\"Add 3 Numbers using Model Game\">\r\n\t\t<\/div>\r\n\t\r\n\t\t<div class=\"game-card-container-inner\">\r\n\t\t\t<div class=\"game-card-container-inner-name\">Add 3 Numbers using Model Game<\/div>\r\n\t\t\t<span class=\"game-card-container-inner-cta\">Play<\/span>\r\n\t\t<\/div>\r\n\t<\/a>\r\n<\/div><\/div><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/games\">More Games<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-different-types-of-equations\">Different Types of Equations:<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Some of the math equations used in algebra are:<\/p>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Linear Equation<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"450\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/linear-equations.png\" alt=\"Linear Equations\" class=\"wp-image-37719\" title=\"Linear Equations\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/linear-equations.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/linear-equations-300x218.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Quadratic Equation<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">ax$^{2}$ + bx + c = 0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{p^{2}}{9}$ \u2212 1 = 0<\/p>\n\n\n\n<ol start=\"3\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Cubic Equation<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">This is a third-order equation. In cubic equations, at least one of the variables should be raised to exponent 3.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">ax$^{3}$ + bx$^{2}$ + cx + d = 0<\/p>\n\n\n\n<p class=\"eplus-wrapper\">a$^{3}$ &#8211; 27 = 0<\/p>\n\n\n\n<ol start=\"4\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\"><strong>Rational Equation<\/strong><\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\">A rational equation is an equation that contains <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction\" target=\"_blank\" rel=\"noopener\" title=\"\">fractions<\/a> with a variable in the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/numerator\" target=\"_blank\" rel=\"noopener\" title=\"\">numerator<\/a>, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/denominator\" target=\"_blank\" rel=\"noopener\" title=\"\">denominator<\/a>, or both.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:&nbsp; $\\frac{x}{2} = \\frac{x + c}{4}$.&nbsp;<\/p>\n\n\n\n<div id=\"recommended-worksheets-container-id\" class=\"recommended-games-container\"><h4 class=\"recommended-games-container-headline\">Recommended Worksheets<\/h4><div class=\"recommended-games-container-slides\"><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/10-and-100-more-than-a-3-digit-number.jpeg\" alt=\"10 and 100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-and-100-less-than-a-3-digit-number.jpeg\" alt=\"100 More and 100 Less than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/100-more-than-a-3-digit-number\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/100-more-than-a-3-digit-number.jpeg\" alt=\"100 More than a 3-digit Number\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-subtract-ones-2-digit-numbers.jpeg\" alt=\"Add & Subtract Ones & 2-Digit Numbers Worksheet\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-and-find-the-sum.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers and Find the Sum\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a 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alt=\"Add 1 Digit and 3 Digit Numbers Using Addition Wheel\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a href=\"https:\/\/www.splashlearn.com\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts\" data-vars-ga-category=\"splashlearn_vocab\" data-vars-ga-action=\"worksheets_recommendations\" data-vars-ga-label=\"post_widget\">\r\n\t    <div class=\"worksheet-card-container-inner-block\">\r\n\t        <img decoding=\"async\" class=\"worksheet-card-container-inner-img\" src=\"https:\/\/cdn.splashmath.com\/cms_assets\/s\/math-worksheets\/add-1-digit-and-3-digit-numbers-using-number-charts.jpeg\" alt=\"Add 1 Digit and 3 Digit Numbers Using Number Charts\">\r\n\t    <\/div>\r\n\t\t<div class=\"worksheet-card-container-inner\" >\r\n\t\t<\/div><\/a>\r\n<\/div><div class=\"worksheet-card-container-outer\">\r\n\t<a 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document.querySelector(\"#recommended-worksheets-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".worksheet-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    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     checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-expression-vs-equation-\"><strong>Expression vs Equation<\/strong><\/h2>\n\n\n\n<p class=\"eplus-wrapper\">A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression#:~:text=An%20expression%20in%20math%20is,Math%20Operator%2C%20Number%2Fvariable)\" target=\"_blank\" rel=\"noopener\" title=\"\">math expression<\/a> is different from a math equation. An equation will always use an equal (=) operator between two math expressions.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">For example,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"621\" height=\"521\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/expression-vs-equation.png\" alt=\"Expression vs Equation\" class=\"wp-image-37720\" title=\"Expression vs Equation\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/expression-vs-equation.png 621w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2024\/01\/expression-vs-equation-300x252.png 300w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-what-is-a-solution-of-an-equation\">What is a Solution of an Equation?<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">The value of the variable which makes the equation a true statement is the solution of the equation.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example 1:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Verify that x = 3 is the solution of an equation 4x \u2212 8 = \u2212 5 + 3x<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Substitute x = 3 in the given equation<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LHS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4x \u2212 8 = 4(3) \u2212 8 = 12 \u2212 8 = 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">RHS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u22125 + 3x = \u22125 + 3(3) = \u22125 + 9 = 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LHS = RHS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So,&nbsp; x = 3 is the solution of an equation 4x \u2212 8 = \u22125 + 3x.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example 2:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Verify that y = \u22122 is the solution of an equation 2m &#8211; 4 = 1<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Substitute y = \u22122 in the given equation.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LHS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">2m &#8211; 4 = 2(\u22122) \u2212 4 = \u2212 4 \u2212 4 = \u2212 8<\/p>\n\n\n\n<p class=\"eplus-wrapper\">RHS&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">1<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u2212 8 \u2260 1<\/p>\n\n\n\n<p class=\"eplus-wrapper\">LHS \u2260 RHS<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So,&nbsp; y = \u22122 is <strong><em>not<\/em><\/strong> the solution of given equation 2m &#8211; 4 = 1.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"4-how-to-solve-linear-equations-with-one-variable\">How to Solve Linear Equations with One Variable<\/h2>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Simplify the expressions inside parentheses, <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/brackets\" target=\"_blank\" rel=\"noopener\" title=\"\">brackets<\/a>, braces and<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/fractions\/fraction-bar\" target=\"_blank\" rel=\"noopener\" title=\"\"> fractions bars<\/a>.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">The same quantity can be added, subtracted, multiplied or divided from both sides of an equation without changing the equality.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p class=\"eplus-wrapper\">Or<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Any term of an equation may be taken from one side to the other with the change in its sign. This process is called transposition.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4a &#8211; 9 = 13 &#8211; 7a<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4a + 7a = 13 + 9 [transpose \u22127a to LHS and \u2212 9 to RHS]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">11a = 22 [add like terms]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">a = $\\frac{22}{11}$ [transpose 11 to RHS]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">a = 2<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Example:<\/p>\n\n\n\n<p class=\"eplus-wrapper\">$\\frac{1}{5} + 3w = \\frac{2}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3w = $\\frac{2}{5} &#8211; \\frac{1}{5}$ [transpose 15 to RHS]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3w = $\\frac{1}{5}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">w = $\\frac{1}{5\\times 3}$ [transpose 3 to RHS]<\/p>\n\n\n\n<p class=\"eplus-wrapper\">w = $\\frac{1}{15}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"5-solved-examples-on-equation\">Solved Examples On Equation<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 1: Solve for <\/strong><strong>x<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">x + 8 = 12<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here is the equation to solve: x + 8 = 12<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We need to leave x alone on one side of the equation. For this, we must take 8 out of both sides.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, x + 8 \u2013 8 = 12 \u2013 8<\/p>\n\n\n\n<p class=\"eplus-wrapper\">or, x = 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 2:<\/strong> <strong>Determine if the value 3 is a solution of the equation:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>4x &#8211; 2 = 3x + 1<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">We will substitute the value of 3 in this equation and will check if the left-side equation is equal to the right-hand side.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So,&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">4(3) &#8211; 2 = 3(3) + 1<\/p>\n\n\n\n<p class=\"eplus-wrapper\">or, 12 &#8211; 2 = 9 + 1<\/p>\n\n\n\n<p class=\"eplus-wrapper\">or, 10 = 10<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Yes, 3 is a solution to the given equation.<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Example 3:<\/strong> Solve the equation: 6(2x + 3) + x \u2013 7 = 3(5x + 7) + 2x<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Solution:<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">6(2x + 3) + x \u2013 7 = 3(5x + 7) + 2x<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Expanding the terms we get,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">12x + 18 + x \u2013 7 = 15x + 21 + 2x<\/p>\n\n\n\n<p class=\"eplus-wrapper\">or, 13x + 11 = 17x + 21<\/p>\n\n\n\n<p class=\"eplus-wrapper\">On further simplification,<\/p>\n\n\n\n<p class=\"eplus-wrapper\">13x \u2013 17x = 21 \u2013 11<\/p>\n\n\n\n<p class=\"eplus-wrapper\">\u22124x = 10<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x = -$\\frac{10}{4}$<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x = -$\\frac{5}{2}$<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"6-practice-problems-on-equation\">Practice Problems On Equation<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Equation<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of these is an equation?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">7x + 5y = 19<\/div><div class=\"spq_answer_block\" data-value=\"1\">5 - 2<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{4}{7} - \\frac{2}{7}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">3a + 9b<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: 7x + 5y = 19<br\/>As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">Determine the equation for which 7 is Not the solution.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">n + 2 =  9<\/div><div class=\"spq_answer_block\" data-value=\"1\">7 - g = 0<\/div><div class=\"spq_answer_block\" data-value=\"2\">x - 4 = 3<\/div><div class=\"spq_answer_block\" data-value=\"3\">h$\\times$ 1 = 8<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: h$\\times$ 1 = 8<br\/>7$\\times$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Solve 9k = \u221227<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">3<\/div><div class=\"spq_answer_block\" data-value=\"1\">2<\/div><div class=\"spq_answer_block\" data-value=\"2\">\u22123<\/div><div class=\"spq_answer_block\" data-value=\"3\">\u22121<\/div><div class=\"sqp_question_hint\"><div class=\"sqp_question_hint__header\"><span class=\"spq_correct\">Correct<\/span><span class=\"spq_incorrect\">Incorrect<\/span><\/div><div class=\"sqp_question_hint__content\"><span>Correct answer is: \u22123<br\/>9k = \u221227 <br>\r\nk = -$\\frac{27}{9}$ <br>\r\nk = -3<\/span><\/div><\/div><\/div><\/div>  <script type=\"application\/ld+json\">{\n        \"@context\": \"https:\/\/schema.org\/\", \n        \"@type\": \"Quiz\", \n        \"typicalAgeRange\": \"3-11\",\n        \"educationalLevel\":  \"beginner\",\n        \"assesses\" : \"Attend this Quiz & Test your knowledge.\",\n        \"educationalAlignment\": [\n              {\n                \"@type\": \"AlignmentObject\",\n                \"alignmentType\": \"educationalSubject\",\n                \"targetName\": \"Math\"\n              }] ,\n        \"name\": \"Equation\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Equation\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of these is an equation?\",\n                    \"text\": \"Which of these is an equation?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5 - 2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{4}{7} - \\\\frac{2}{7}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3a + 9b\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"7x + 5y = 19\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"As option a has an equal sign (=) between two math expressions its an equation. The other options are expressions.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Determine the equation for which 7 is Not the solution.\",\n                    \"text\": \"Determine the equation for which 7 is Not the solution.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"7$$\\\\times$$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"n + 2 =  9\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"7$$\\\\times$$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7 - g = 0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"7$$\\\\times$$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"x - 4 = 3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"7$$\\\\times$$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"h$$\\\\times$$ 1 = 8\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"7$$\\\\times$$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"7$$\\\\times$$ 1 = 7  and 7 \u2260 8. So 7 is not the solution for the given equation.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Solve 9k = \u221227\",\n                    \"text\": \"Solve 9k = \u221227\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"9k = \u221227 <br>\r\nk = -$$\\\\frac{27}{9}$$ <br>\r\nk = -3\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"3\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"9k = \u221227 <br>\r\nk = -$$\\\\frac{27}{9}$$ <br>\r\nk = -3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"9k = \u221227 <br>\r\nk = -$$\\\\frac{27}{9}$$ <br>\r\nk = -3\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"\u22121\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"9k = \u221227 <br>\r\nk = -$$\\\\frac{27}{9}$$ <br>\r\nk = -3\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"\u22123\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"9k = \u221227 <br>\r\nk = -$$\\\\frac{27}{9}$$ <br>\r\nk = -3\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"9k = \u221227 <br>\r\nk = -$$\\\\frac{27}{9}$$ <br>\r\nk = -3\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">We have thus learned the definition of the equation and its different types. Moreover, a few questions have also been solved here to give a clear idea to the students about solving an equation. A student can have a strong grip on this concept by practising such problems.Teaching maths concepts can be challenging, especially when the students are young kids. So, to make parents&#8217; and teachers\u2019 lives easy, <a href=\"https:\/\/www.splashlearn.com\/\">SplashLearn<\/a> has brought some courses specifically designed for students from K-8. After all, it should be fun to learn!&nbsp; &nbsp;&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"8-frequently-asked-questions-on-equation\">Frequently Asked Questions On Equation<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-bb41aa09-627b-44be-82c9-03c2a254d967\" data-mobilecollapse=\"true\" data-desktopcollapse=\"true\">\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-0-bb41aa09-627b-44be-82c9-03c2a254d967\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bb41aa09-627b-44be-82c9-03c2a254d967\"><strong>What are the types of Equation?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-bb41aa09-627b-44be-82c9-03c2a254d967\">\n\n<p class=\"eplus-wrapper\">There are three types of equations based on the degree. Linear equation, quadratic equation, and cubic equation.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-1-bb41aa09-627b-44be-82c9-03c2a254d967\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bb41aa09-627b-44be-82c9-03c2a254d967\"><strong>How are linear equations used in daily life?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-bb41aa09-627b-44be-82c9-03c2a254d967\">\n\n<p class=\"eplus-wrapper\">Linear equations are used to find the wages based on hourly pay rate, speed, and medicine dosage based on the patient\u2019s weight.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-2-bb41aa09-627b-44be-82c9-03c2a254d967\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bb41aa09-627b-44be-82c9-03c2a254d967\"><strong>What must an equation have?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-2-bb41aa09-627b-44be-82c9-03c2a254d967\">\n\n<p class=\"eplus-wrapper\">An equation in <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra\" target=\"_blank\" rel=\"noopener\" title=\"\">algebra<\/a> is a statement of equality that contains one or more unknown quantities or variables.<\/p>\n\n<\/div><\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\">\n                <div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" aria-expanded=\"false\" aria-controls=\"ub-content-toggle-panel-3-bb41aa09-627b-44be-82c9-03c2a254d967\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bb41aa09-627b-44be-82c9-03c2a254d967\"><strong>How do you solve equations?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span>\n                    <\/div><\/div><div role=\"region\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-3-bb41aa09-627b-44be-82c9-03c2a254d967\">\n\n<p class=\"eplus-wrapper\">Solving Equations &#8211; A General Rule<\/p>\n\n\n\n<ul class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">Remove parentheses and combine like terms on each side of the equation.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To isolate the variable term, you can use <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\" target=\"_blank\" rel=\"noopener\" title=\"\">addition<\/a> or<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" target=\"_blank\" rel=\"noopener\" title=\"\"> subtraction<\/a>.<\/li>\n\n\n\n<li class=\"eplus-wrapper\">To solve for a variable, use <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" target=\"_blank\" rel=\"noopener\" title=\"\">multiplication<\/a> or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" target=\"_blank\" rel=\"noopener\" title=\"\">division<\/a>.<\/li>\n<\/ul>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>There are numerous ways in which one may define an equation. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated &#8230; <a title=\"Equation &#8211; Definition, Types, Examples, Practice Problems\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/equation\" aria-label=\"More on Equation &#8211; Definition, Types, Examples, Practice Problems\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-2205","post","type-post","status-publish","format-standard","hentry","category-all"],"featured_image_src":null,"author_info":{"display_name":"Mithun Jhawar","author_link":"https:\/\/www.splashlearn.com\/math-vocabulary\/author\/mithun-jhawarsplashlearn-com\/"},"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/comments?post=2205"}],"version-history":[{"count":15,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2205\/revisions"}],"predecessor-version":[{"id":37721,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/2205\/revisions\/37721"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=2205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=2205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=2205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}