{"id":36306,"date":"2023-11-23T20:23:00","date_gmt":"2023-11-23T20:23:00","guid":{"rendered":"https:\/\/www.splashlearn.com\/math-vocabulary\/?page_id=36306"},"modified":"2023-11-30T15:26:53","modified_gmt":"2023-11-30T15:26:53","slug":"like-and-unlike-algebraic-terms-definition-facts-examples-faqs","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms","title":{"rendered":"Like and Unlike Algebraic Terms &#8211; Definition, Facts, Examples, FAQs"},"content":{"rendered":"<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-6071e23e-68ca-4958-bf0f-e8098c75f735\" 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\/like-and-unlike-algebraic-terms#0-what-are-like-and-unlike-terms-in-algebra>What Are Like and Unlike Terms in Algebra?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms#3-how-to-identify-like-terms-and-unlike-terms>How to Identify Like Terms and Unlike Terms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms#7-difference-between-like-and-unlike-terms>Difference Between Like and Unlike Terms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms#9-solved-examples-on-like-and-unlike-terms>Solved Examples on Like and Unlike Terms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms#10-practice-problems-on-like-and-unlike-terms>Practice Problems on Like and Unlike Terms<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms#11-frequently-asked-questions-about-like-and-unlike-terms>Frequently Asked Questions about Like and Unlike Terms<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"0-what-are-like-and-unlike-terms-in-algebra\">What Are Like and Unlike Terms in Algebra?<\/h2>\n\n\n\n<p><strong>Like terms and unlike terms in algebra are two important concepts that are very crucial when we carry out operations like addition and subtraction on algebraic expressions\/ equations.<\/strong><\/p>\n\n\n\n<p>The smaller individual expressions separated by the arithmetic operations to complete the larger or whole algebraic expression or equation are called <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/term\">algebraic terms<\/a>.<\/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\/add-like-fractions\" 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\/fractions_add_like_frac_sum_upto_1_pt.png\" alt=\"Add Like Fractions 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 Like Fractions 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-like-fractions-greater-than-1\" 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\/fractions_find_sum_pt.png\" alt=\"Add Like Fractions Greater than 1 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 Like Fractions Greater than 1 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-like-fractions-to-get-a-sum-greater-than-1\" 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\/fractions_add_like_frac_sum_greater_than_1_pt.png\" alt=\"Add Like Fractions to Get a Sum Greater than 1 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 Like Fractions to Get a Sum Greater than 1 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-like-fractions-using-number-lines\" 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\/fractions_add_like_frac_sum_upto_1_nl_pt.png\" alt=\"Add Like Fractions using Number Lines 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 Like Fractions using Number Lines 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-unlike-fractions\" 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\/fractions_add_unlike_pt.png\" alt=\"Add Unlike Fractions 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 Unlike Fractions 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\/compare-fractions-with-like-denominators\" 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\/fractions_make_way_18_gm.png\" alt=\"Compare Fractions with Like Denominators 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\">Compare Fractions with Like Denominators 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\/compare-fractions-with-like-numerators\" 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\/fractions_make_way_17_gm.png\" alt=\"Compare Fractions with Like Numerators 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\">Compare Fractions with Like Numerators 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\/compare-fractions-with-unlike-denominators\" 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\/fractions_make_way_19_gm.png\" alt=\"Compare Fractions with Unlike Denominators 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\">Compare Fractions with Unlike Denominators 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\/compare-like-decimals\" 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\/decimals_compare_dec_1_pt.png\" alt=\"Compare Like Decimals 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\">Compare Like Decimals 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\/compare-like-decimals-using-place-value-chart\" 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\/decimals_compare_dec_pv_1_pt.png\" alt=\"Compare Like Decimals Using Place Value Chart 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\">Compare Like Decimals Using Place Value Chart 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\" id=\"1-what-are-like-terms\">What Are Like Terms?<\/h2>\n\n\n\n<p>Like terms in algebra are the terms in an expression whose variable part is the same and also the corresponding exponents for each variable are equal. The coefficient of these variables can be different.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"317\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/like-terms.png\" alt=\"\" class=\"wp-image-36311\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/like-terms.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/like-terms-300x153.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>In simple words, the variable part of the \u201clike terms\u201d look exactly the same. Same variables are raised to the same powers.&nbsp;<\/p>\n\n\n\n<p>In addition or subtraction, or when simplifying algebraic expressions, we always combine like terms.<\/p>\n\n\n\n<p><strong>Like terms examples:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x and 2x are like terms.&nbsp;<\/li>\n\n\n\n<li>st and -5st are like terms.<\/li>\n\n\n\n<li>$xy^{2} z^{7}$ and $65xy^{2}z^{7}$ are like terms.<\/li>\n\n\n\n<li>abc and 2abc are like terms.<\/li>\n\n\n\n<li>5 and 9 are like terms.<\/li>\n<\/ul>\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\/add-like-fractions-using-area-models\" 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-like-fractions-using-area-models.jpeg\" alt=\"Add Like Fractions using Area Models 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\/addition-of-unlike-fractions\" 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\/addition-of-unlike-fractions.jpeg\" alt=\"Addition of Unlike Fractions 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\/addition-of-unlike-mixed-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\/addition-of-unlike-mixed-numbers.jpeg\" alt=\"Addition of Unlike Mixed 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\/compare-unlike-fractions-using-1-as-benchmark\" 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\/compare-unlike-fractions-using-1-as-benchmark.jpeg\" alt=\"Compare Unlike Fractions using 1 as Benchmark 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\/compare-unlike-fractions\" 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\/compare-unlike-fractions.jpeg\" alt=\"Compare Unlike Fractions 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\/difference-of-unlike-fractions-and-mixed-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\/difference-of-unlike-fractions-and-mixed-numbers.jpeg\" alt=\"Difference of Unlike Fractions and Mixed 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\/difference-of-unlike-mixed-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\/difference-of-unlike-mixed-numbers.jpeg\" alt=\"Difference of Unlike Mixed 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\/find-common-denominator-compare-unlike-fractions\" 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\/find-common-denominator-compare-unlike-fractions.jpeg\" alt=\"Find Common Denominator & Compare Unlike Fractions 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\/subtract-like-fractions-using-area-models\" 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\/subtract-like-fractions-using-area-models.jpeg\" alt=\"Subtract Like Fractions using Area Models 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\/subtract-unlike-fractions-from-mixed-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\/subtract-unlike-fractions-from-mixed-numbers.jpeg\" alt=\"Subtract Unlike Fractions From Mixed 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><p class=\"recommended-games-container-desc\"><a href=\"https:\/\/www.splashlearn.com\/worksheets\">More Worksheets<\/a><\/p><button class=\"scroll-right-arrow\"><\/button><\/div><script type=\"text\/javascript\">\n        document.addEventListener(\"DOMContentLoaded\", function() {\n            const container = 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                    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\" id=\"2-what-are-unlike-terms\">What Are Unlike Terms?<\/h2>\n\n\n\n<p>Unlike terms can be defined as the algebraic terms whose variable part is totally different, or the variables are the same but their exponents are different.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"335\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/unlike-terms.png\" alt=\"Unlike terms\" class=\"wp-image-36312\" title=\"Unlike terms\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/unlike-terms.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/unlike-terms-300x162.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p>We cannot add or subtract two unlike terms. So, we always keep them separate.<\/p>\n\n\n\n<p><strong>Unlike terms examples:&nbsp;<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>x and y are like terms.&nbsp;<\/li>\n\n\n\n<li>xy and $-2x^{3}y$ are like terms.<\/li>\n\n\n\n<li>6abc and 6pq are like terms.<\/li>\n\n\n\n<li>xyz and $x^{2}yz$ are like terms.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-how-to-identify-like-terms-and-unlike-terms\">How to Identify Like Terms and Unlike Terms<\/h2>\n\n\n\n<p>We can identify like and unlike terms by simply checking the variables and their powers.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Like Terms<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Unlike terms<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">s, 2s, -4s, 10s, 999s, -999s<\/td><td class=\"has-text-align-left\" data-align=\"left\">$a,\\; ab,\\; a^{2}b,\\;pqr,\\;m^{6}n^{7}$<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">$x^{2},\\; -7x^{2},\\; 90x^{2},\\; 12345x^{2},\\; -x^{2}$\u00a0<\/td><td class=\"has-text-align-left\" data-align=\"left\">$x, y, x^{2} y^{2}$<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-visualizing-like-and-unlike-terms\">Visualizing Like and Unlike Terms<\/h2>\n\n\n\n<p>Now, you know how to identify like terms and unlike terms. There\u2019s also an interesting visual approach to understand like and unlike terms. Let\u2019s check it out!<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><tbody><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"170\" class=\"wp-image-36313\" style=\"width: 150px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/3-and-3-are-like-terms.png\" alt=\"3 and -3 are like terms\"><\/td><td>3 and -3 are like terms.&nbsp;Both are constants.&nbsp;Signs do not matter. The coefficients of like terms can be different (Here, the coefficients are 1 and -1).Here, the variable part does not exist in both the terms.&nbsp;<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"191\" class=\"wp-image-36315\" style=\"width: 350px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/xy-and-yx-are-like-terms-visual.png\" alt=\"xy and yx are like terms - visual\"><\/td><td><br>xy and yx are like terms.&nbsp;<br>Basically, xy = yx&nbsp;<br>They have the same meaning.&nbsp;<br>The order of the multiplication does not matter.<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"222\" class=\"wp-image-36316\" style=\"width: 150px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/like-terms-x2-and-4x2-1.png\" alt=\"Like terms x2 and 4x2\"><\/td><td><br>Can you see the similarity in the patterns formed by the like terms?\u00a0<br>$x^{2}$ and $4x^{2}$ are like terms.\u00a0<br>Coefficients of like terms can be different.\u00a0<br>The variable part must be the same.<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"189\" class=\"wp-image-36317\" style=\"width: 350px;\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/11\/visualize-unlike-terms.png\" alt=\"Visualize unlike terms\"><\/td><td>Now, take a look at the visual representation of unlike terms.<br>They do not look similar.<br>$x^{2} y$ and $xy^{2}$ are unlike terms.\u00a0<br>The variable parts do not match.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-addition-and-subtraction-of-like-terms\">Addition and Subtraction of Like Terms<\/h2>\n\n\n\n<p>We can simplify algebraic expressions or equations by combining the like terms for addition or subtraction. Note that when we combine like terms, we take their signs along with them.<\/p>\n\n\n\n<p>To add like terms, only focus on the coefficients. Add the coefficients and keep the variable part as it is. The variables stay the same.&nbsp;<\/p>\n\n\n\n<p>Similarly, to subtract like terms, subtract the coefficients and keep the variables the same.<\/p>\n\n\n\n<p>Also, you must follow the rules of addition and subtraction keeping the signs of the terms in mind.<\/p>\n\n\n\n<p><strong>Example 1:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>8x<sup>2<\/sup> \u2013 5x<sup>2<\/sup> = (8 \u2013 3)x<sup>2<\/sup> = 5x<sup>2<\/sup><\/li>\n\n\n\n<li>11z + 13z + 16z = (11 + 13 + 16)z = 40z<\/li>\n\n\n\n<li>-9+5=-4<\/li>\n<\/ul>\n\n\n\n<p><strong>Example 2: <\/strong>Simplify<strong> x + y &#8211; x<sup>2<\/sup>y + 7y &#8211; 87x &#8211; xyz + 11x<sup>2<\/sup>y &#8211; 9 + 8x.<\/strong><\/p>\n\n\n\n<p>Combine the like terms.<\/p>\n\n\n\n<p><strong>x + y &#8211; x<sup>2<\/sup>y + 7y &#8211; 87x &#8211; xyz+ 11x<sup>2 <\/sup>y &#8211; 9 + 8x<\/strong><\/p>\n\n\n\n<p><strong>= (x + 8x &#8211; 87x) + (y + 7y) &#8211; x<sup>2<\/sup>y + 11x<sup>2<\/sup>y &#8211; xyz &#8211; 9<\/strong><\/p>\n\n\n\n<p><strong>= 78x + 8y + 10&#215;2<strong><sup>2<\/sup><\/strong>y &#8211; xyz &#8211; 9\u00a0<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-addition-and-subtraction-of-unlike-terms\">Addition and Subtraction of Unlike Terms<\/h2>\n\n\n\n<p>The simplification of expressions or combining like terms cannot be done on unlike terms, as the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variables<\/a> and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/exponent\">exponents<\/a> are not similar.&nbsp;<\/p>\n\n\n\n<p>Consider an algebraic expression, 8xy + 6y &#8211; 9x &#8211; 10x<sup>2<\/sup>. There are different variables, exponents, and coefficients. This expression cannot be simplified as all the terms are different from each other.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-difference-between-like-and-unlike-terms\">Difference Between Like and Unlike Terms<\/h2>\n\n\n\n<p>Following is the difference between like and unlike terms:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th class=\"has-text-align-left\" data-align=\"left\"><strong>Like Terms<\/strong><\/th><th class=\"has-text-align-left\" data-align=\"left\"><strong>Unlike Terms<\/strong><\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Terms with the same variables raised to the same exponents.&nbsp;<\/td><td class=\"has-text-align-left\" data-align=\"left\">Terms with different variables or same variables with different exponents.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Like terms can be simplified by combining them.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Unlike terms cannot be simplified by combining them.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Addition and Subtraction of like terms can be done.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Addition and Subtraction of unlike terms cannot be done.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">13x<sup>2<\/sup> + 5x<sup>2<\/sup> is an example of like terms.<\/td><td class=\"has-text-align-left\" data-align=\"left\">7z &#8211; 25r is an example of unlike terms.<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Like terms are also called similar terms.<\/td><td class=\"has-text-align-left\" data-align=\"left\">Unlike terms are also called dissimilar terms.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned about like and unlike terms, which are essential concepts in algebraic expressions. Understanding the distinction between these terms is crucial for simplifying expressions and solving equations. Let&#8217;s reinforce our knowledge by solving examples and practicing MCQs for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-solved-examples-on-like-and-unlike-terms\">Solved Examples on Like and Unlike Terms<\/h2>\n\n\n\n<p><strong>1. Identify like terms in the algebraic expression 7x \u2013 8y + 10x \u2013 26y.<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The like terms are the terms with the same variable and the same power.&nbsp;<\/p>\n\n\n\n<p>So, the like terms are:&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>7x and 10x&nbsp;<\/li>\n\n\n\n<li>&nbsp;\u2013 8y and \u2013 26y.&nbsp;<\/li>\n<\/ul>\n\n\n\n<p><strong>2. Simplify 5x + 8y.<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>We can not simplify 5x + 8y any further since 5x and 8y are unlike terms.&nbsp;<\/p>\n\n\n\n<p><strong>3. Simplify: <\/strong><strong>2x\u00b2 + 6x + 4y + 3x + 15x\u00b2<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>2x\u00b2 + 6x + 4y + 3x + 15x\u00b2<\/p>\n\n\n\n<p>Combining the like terms, we get<\/p>\n\n\n\n<p>= (2x\u00b2 + 15x\u00b2) + (6x + 3x) + 4y<\/p>\n\n\n\n<p>= 17x\u00b2 + 9x + 4y<\/p>\n\n\n\n<p><strong>4. What should be added to 5x\u00b2 \u2013 2x to get 2x\u00b2 + 3x \u2013 1?<\/strong><\/p>\n\n\n\n<p><strong>Solution:<\/strong>&nbsp;<\/p>\n\n\n\n<p>Let \u2018a\u2019 be the expression added to 5x\u00b2 \u2013 2x to get 2x\u00b2 + 3x \u2013 1.&nbsp;<\/p>\n\n\n\n<p>a + 5x\u00b2 \u2013 2x = 2x\u00b2 + 3x \u2013 1<\/p>\n\n\n\n<p>a = 2x\u00b2 + 3x \u2013 1 \u2013 (5x\u00b2 \u2013 2x)<\/p>\n\n\n\n<p>a = 2x\u00b2 + 3x \u2013 1 \u2013 5x\u00b2 + 2x<\/p>\n\n\n\n<p>a = (2x\u00b2 \u2013 5x\u00b2) + (3x + 2x) \u2013 1<\/p>\n\n\n\n<p>a = \u2013 3x\u00b2 + 5x \u2013 1<\/p>\n\n\n\n<p><strong>5. Simplify the expression: <\/strong><strong>20xy \u2013 16yx.&nbsp;<\/strong><\/p>\n\n\n\n<p><strong>Solution:&nbsp;<\/strong><\/p>\n\n\n\n<p>The variables and the power in 20xy and 16yx are the same.&nbsp;<\/p>\n\n\n\n<p>The only difference is the order.&nbsp;<\/p>\n\n\n\n<p>Since the multiplication is commutative, 20xy and \u2013 16yx are like terms.&nbsp;<\/p>\n\n\n\n<p>20xy \u2013 16yx = 4xy = 4yx<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-practice-problems-on-like-and-unlike-terms\">Practice Problems on Like and Unlike Terms<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Like and Unlike Algebraic Terms - Definition, Facts, Examples, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Which of the following are \u201clike terms\u201d?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$6xy^{2}$ and $10yx^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$6y^{2}$ and $-10x^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">6x and 10 y<\/div><div class=\"spq_answer_block\" data-value=\"3\">$6xy^{2} and $-10y^{2}x$<\/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: $6xy^{2} and $-10y^{2}x$<br\/>The variables and their corresponding powers in $6xy^{2}$ and $-10y^{2}x$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.<\/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\">$12x + 10xy =$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$22xy$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$22x + y$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$22x^{2}y$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$2x(6 + 5y)$<\/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: $2x(6 + 5y)$<br\/>$12x + 10xy = 2x(6 + 5y)$<br>\r\nTerms cannot be added since they are not like terms.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Solve: $15x^{2} + 2xy + 3x^{2} + 6x + xy$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$18x^{2} + 9xy$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$18x^{2} + 9x$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$18x^{2} + 9y$<\/div><div class=\"spq_answer_block\" data-value=\"3\">Can not be simplified<\/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: $18x^{2} + 9xy$<br\/>$15x^{2} + 2xy + 3x^{2} + 6x + xy$<br>\r\n$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$<br>\r\n$= 18x^{2} + 6x + 3xy$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">4<\/span><h3 class=\"sqp_question_text\">Identify like terms.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$12x^{2}y$ and $xy$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\u2013 8x^{2}y^{2}$ and $5x^{2}y^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$8x^{2}y$ and $10xy^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$12x, 12y$<\/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: $\u2013 8x^{2}y^{2}$ and $5x^{2}y^{2}$<br\/>$\u2013 8x^{2}y^{2}$ and $5x^{2}y^{2}$ are like terms since they have the same variables raised to the same powers.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Simplify the expression: $2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$28xy \u2013 3x^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$28xy + 3x^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\u2013 28xy \u2013 3x^{2}$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$\u2013 28xy + 3x^{2}$<\/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: $28xy + 3x^{2}$<br\/>$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$<br>\r\n$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$<br>\r\n$= 28xy + 3x^{2}$<\/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\": \"Like and Unlike Algebraic Terms - Definition, Facts, Examples, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Like and Unlike Algebraic Terms\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Which of the following are \u201clike terms\u201d?\",\n                    \"text\": \"Which of the following are \u201clike terms\u201d?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The variables and their corresponding powers in $$6xy^{2}$$ and $$-10y^{2}x$$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6xy^{2}$$ and $$10yx^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The variables and their corresponding powers in $$6xy^{2}$$ and $$-10y^{2}x$$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$6y^{2}$$ and $$-10x^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The variables and their corresponding powers in $$6xy^{2}$$ and $$-10y^{2}x$$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"6x and 10 y\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The variables and their corresponding powers in $$6xy^{2}$$ and $$-10y^{2}x$$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$6xy^{2} and $$-10y^{2}x$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The variables and their corresponding powers in $$6xy^{2}$$ and $$-10y^{2}x$$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The variables and their corresponding powers in $$6xy^{2}$$ and $$-10y^{2}x$$ are the same. So, they are like terms. The order of the variables doesn't matter since the multiplication is commutative.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"$$12x + 10xy =$$\",\n                    \"text\": \"$$12x + 10xy =$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$12x + 10xy = 2x(6 + 5y)$$<br>\r\nTerms cannot be added since they are not like terms.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$22xy$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$12x + 10xy = 2x(6 + 5y)$$<br>\r\nTerms cannot be added since they are not like terms.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$22x + y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$12x + 10xy = 2x(6 + 5y)$$<br>\r\nTerms cannot be added since they are not like terms.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$22x^{2}y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$12x + 10xy = 2x(6 + 5y)$$<br>\r\nTerms cannot be added since they are not like terms.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$2x(6 + 5y)$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$12x + 10xy = 2x(6 + 5y)$$<br>\r\nTerms cannot be added since they are not like terms.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$12x + 10xy = 2x(6 + 5y)$$<br>\r\nTerms cannot be added since they are not like terms.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Solve: $$15x^{2} + 2xy + 3x^{2} + 6x + xy$$\",\n                    \"text\": \"Solve: $$15x^{2} + 2xy + 3x^{2} + 6x + xy$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$15x^{2} + 2xy + 3x^{2} + 6x + xy$$<br>\r\n$$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$$<br>\r\n$$= 18x^{2} + 6x + 3xy$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$18x^{2} + 9x$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$15x^{2} + 2xy + 3x^{2} + 6x + xy$$<br>\r\n$$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$$<br>\r\n$$= 18x^{2} + 6x + 3xy$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$18x^{2} + 9y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$15x^{2} + 2xy + 3x^{2} + 6x + xy$$<br>\r\n$$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$$<br>\r\n$$= 18x^{2} + 6x + 3xy$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"Can not be simplified\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$15x^{2} + 2xy + 3x^{2} + 6x + xy$$<br>\r\n$$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$$<br>\r\n$$= 18x^{2} + 6x + 3xy$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$18x^{2} + 9xy$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$15x^{2} + 2xy + 3x^{2} + 6x + xy$$<br>\r\n$$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$$<br>\r\n$$= 18x^{2} + 6x + 3xy$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$15x^{2} + 2xy + 3x^{2} + 6x + xy$$<br>\r\n$$= (15x^{2} + 3x^{2}) + 6x + (xy + 2xy)$$<br>\r\n$$= 18x^{2} + 6x + 3xy$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Identify like terms.\",\n                    \"text\": \"Identify like terms.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$ are like terms since they have the same variables raised to the same powers.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12x^{2}y$$ and $$xy$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$ are like terms since they have the same variables raised to the same powers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8x^{2}y$$ and $$10xy^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$ are like terms since they have the same variables raised to the same powers.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$12x, 12y$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$ are like terms since they have the same variables raised to the same powers.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$ are like terms since they have the same variables raised to the same powers.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$\u2013 8x^{2}y^{2}$$ and $$5x^{2}y^{2}$$ are like terms since they have the same variables raised to the same powers.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Simplify the expression: $$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$\",\n                    \"text\": \"Simplify the expression: $$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"$$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$<br>\r\n$$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$$<br>\r\n$$= 28xy + 3x^{2}$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$28xy \u2013 3x^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$<br>\r\n$$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$$<br>\r\n$$= 28xy + 3x^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u2013 28xy \u2013 3x^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$<br>\r\n$$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$$<br>\r\n$$= 28xy + 3x^{2}$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\u2013 28xy + 3x^{2}$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"$$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$<br>\r\n$$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$$<br>\r\n$$= 28xy + 3x^{2}$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$28xy + 3x^{2}$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"$$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$<br>\r\n$$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$$<br>\r\n$$= 28xy + 3x^{2}$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"$$2xy + 60xy \u2013 35xy + 4x^{2} + xy \u2013 x^{2}$$<br>\r\n$$= (2xy + 60xy \u2013 35xy + xy) + (4x^{2} \u2013 x^{2})$$<br>\r\n$$= 28xy + 3x^{2}$$\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"11-frequently-asked-questions-about-like-and-unlike-terms\">Frequently Asked Questions about Like and Unlike Terms<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-5a653268-8908-4d5a-b64d-4a94cff15197\" 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-0-5a653268-8908-4d5a-b64d-4a94cff15197\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5a653268-8908-4d5a-b64d-4a94cff15197\"><strong>Can we multiply and divide unlike terms?<\/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-0-5a653268-8908-4d5a-b64d-4a94cff15197\">\n\n<p>Yes, we can multiply and divide unlike terms.<\/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-1-5a653268-8908-4d5a-b64d-4a94cff15197\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5a653268-8908-4d5a-b64d-4a94cff15197\"><strong>What does combining like algebraic terms mean?<\/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-1-5a653268-8908-4d5a-b64d-4a94cff15197\">\n\n<p>Combining like algebraic terms refers to the process of adding or subtracting terms that have the same variables raised to the same powers. When terms are like terms, they can be simplified by performing the arithmetic operation (<a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\">addition<\/a> or <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\">subtraction<\/a>) on their numerical coefficients while keeping the variables unchanged. For example: 5x &#8211; 10y + 34x + 2y &#8211; 3xy can be further simplified to 39x &#8211; 8y -3xy.<\/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-2-5a653268-8908-4d5a-b64d-4a94cff15197\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5a653268-8908-4d5a-b64d-4a94cff15197\"><strong>Can we combine unlike algebraic terms?<\/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-2-5a653268-8908-4d5a-b64d-4a94cff15197\">\n\n<p>No, unlike algebraic terms in an algebraic expression cannot be combined or simplified further as the variable-part does not match.<\/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-3-5a653268-8908-4d5a-b64d-4a94cff15197\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5a653268-8908-4d5a-b64d-4a94cff15197\"><strong>How do you separate like and unlike terms?<\/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-3-5a653268-8908-4d5a-b64d-4a94cff15197\">\n\n<p>Look at the variable part of the terms, and then it becomes easy to separate like and unlike terms. Like terms will have the same variable part and unlike terms will have the different variable part.<\/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-4-5a653268-8908-4d5a-b64d-4a94cff15197\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5a653268-8908-4d5a-b64d-4a94cff15197\"><strong>Why is it important to identify like and unlike terms?<\/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-4-5a653268-8908-4d5a-b64d-4a94cff15197\">\n\n<p>Identifying like and unlike terms is crucial for simplifying expressions and solving equations accurately. This simplification helps in reducing the complexity of algebraic expressions and solving equations more efficiently.<\/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-5-5a653268-8908-4d5a-b64d-4a94cff15197\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-5a653268-8908-4d5a-b64d-4a94cff15197\"><strong>What is the definition of like terms in algebra?<\/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-5-5a653268-8908-4d5a-b64d-4a94cff15197\">\n\n<p>In algebra, like terms refer to terms that have the same variables raised to the same powers.\u00a0 For example, 3x and 5x are like terms because they both involve the variable &#8220;x&#8221; raised to the power of 1.<\/p>\n\n<\/div><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>What Are Like and Unlike Terms in Algebra? Like terms and unlike terms in algebra are two important concepts that are very crucial when we carry out operations like addition and subtraction on algebraic expressions\/ equations. The smaller individual expressions separated by the arithmetic operations to complete the larger or whole algebraic expression or equation &#8230; <a title=\"Like and Unlike Algebraic Terms &#8211; Definition, Facts, Examples, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/like-and-unlike-algebraic-terms\" aria-label=\"More on Like and Unlike Algebraic Terms &#8211; Definition, Facts, Examples, FAQs\">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-36306","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\/36306","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=36306"}],"version-history":[{"count":5,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36306\/revisions"}],"predecessor-version":[{"id":36323,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/36306\/revisions\/36323"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=36306"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=36306"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=36306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}