{"id":1050,"date":"2022-04-13T11:29:08","date_gmt":"2022-04-13T11:29:08","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=1050"},"modified":"2024-05-20T12:15:26","modified_gmt":"2024-05-20T12:15:26","slug":"evaluate-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate","title":{"rendered":"Evaluate Expressions &#8211; Definition, Solved Examples, Facts, FAQs"},"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-5adc2d85-e727-424f-b617-be1c68830450\" 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\/algebra\/evaluate#0-what-does-%E2%80%9Cevaluate-expressions%E2%80%9D-mean-in-math>What Does \u201cEvaluate Expressions\u201d Mean in Math?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate#3-what-are-terms-coefficients-variables-and-constants>What Are Terms, Coefficients, Variables, and Constants?<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate#6-how-to-translate-word-phrases-to-algebraic-expressions>How to Translate Word Phrases to Algebraic Expressions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate#8-solved-examples-on-evaluating-expressions>Solved Examples on Evaluating Expressions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate#9-practice-problems-on-evaluating-expressions>Practice Problems on Evaluating Expressions<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate#10-frequently-asked-questions-about-evaluating-expressions>Frequently Asked Questions about Evaluating Expressions<\/a><\/li><\/ul><\/div><\/div><\/div>\n\n\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%\">\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%\">\n<h2 class=\"wp-block-heading\" id=\"0-what-does-%E2%80%9Cevaluate-expressions%E2%80%9D-mean-in-math\">What Does \u201cEvaluate Expressions\u201d Mean in Math?<\/h2>\n\n\n\n<p><strong>To evaluate simply means finding the value of something. In mathematics, the term &#8220;evaluate&#8221; refers to finding the numerical value or result of a mathematical expression or equation.<\/strong>&nbsp;<\/p>\n\n\n\n<p>For example, to evaluate the expression &#8220;5 + 3&#8221; means to perform the addition and find the sum, which is 8.<\/p>\n\n\n\n<p>Evaluating algebraic expressions refers to solving them to determine the specific numeric answer. In order to evaluate an algebraic expression, you need to replace each variable with a numerical value and then carry out the necessary mathematical operations.<\/p>\n\n\n\n<p>In essence, evaluating in math is about calculating and obtaining a numerical value or solution for a given mathematical statement or problem.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"628\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/evaluating-expressions-example.png\" alt=\"Evaluating expressions - example\" class=\"wp-image-35295\" title=\"Evaluating expressions - example\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/evaluating-expressions-example.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/evaluating-expressions-example-296x300.png 296w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\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\/evaluate-algebraic-expressions-with-one-operation\" 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\/algebra_evaluate_algebric_exp_1_pt.png\" alt=\"Evaluate Algebraic Expressions with One Operation 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\">Evaluate Algebraic Expressions with One Operation 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\/evaluate-algebraic-expressions-with-two-operations\" 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\/algebra_evaluate_algebric_exp_2_pt.png\" alt=\"Evaluate Algebraic Expressions with Two Operations 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\">Evaluate Algebraic Expressions with Two Operations 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\/evaluate-expressions-with-2-or-more-operations\" 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\/algebra_evaluate_num_exp_pt.png\" alt=\"Evaluate Expressions with 2 or More Operations 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\">Evaluate Expressions with 2 or More Operations 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\/evaluate-expressions-with-two-operations\" 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\/algebra_evaluate_exp_pt.png\" alt=\"Evaluate Expressions with Two Operations 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\">Evaluate Expressions with Two Operations 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\/form-algebraic-expressions\" 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\/algebra_choose_exp_1_pt.png\" alt=\"Form Algebraic Expressions 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\">Form Algebraic Expressions 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 = 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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-is-an-algebraic-expression\">What Is an Algebraic Expression?<\/h2>\n\n\n\n<p>Algebraic <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\">expressions<\/a> are mathematical expressions that are made of constants, variables, and algebraic operations.<\/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\/evaluate-expressions-involving-exponents\" 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\/evaluate-expressions-involving-exponents.jpeg\" alt=\"Evaluate Expressions Involving Exponents 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\/evaluate-expressions-involving-parentheses\" 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\/evaluate-expressions-involving-parentheses.jpeg\" alt=\"Evaluate Expressions Involving Parentheses 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\/evaluate-expressions-using-pemdas\" 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\/evaluate-expressions-using-pemdas.jpeg\" alt=\"Evaluate Expressions Using PEMDAS 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-how-to-evaluate-expressions-in-math\">How to Evaluate Expressions in Math<\/h2>\n\n\n\n<p>Evaluating an algebraic expression means determining the value of the expression for the given value of each variable in the expression. Replace each variable in the expression with the specified value, and then simplify the resulting expression by specifying the order of operations.<\/p>\n\n\n\n<p><strong>Example 1<\/strong>: Consider an algebraic expression x+5, Let\u2019s evaluate it for x=7.&nbsp;<\/p>\n\n\n\n<p>Substitute the value of x in the expression.<\/p>\n\n\n\n<p>7+5=12.<\/p>\n\n\n\n<p><strong>Example 2<\/strong>: Consider an algebraic expression y2-5y+2. Let\u2019s evaluate it at y=-1.<\/p>\n\n\n\n<p>Substituting y=-1 in the expression, we get<\/p>\n\n\n\n<p>&nbsp;(-1)2-5(-1)+2=1+5+2=8<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"3-what-are-terms-coefficients-variables-and-constants\">What Are Terms, Coefficients, Variables, and Constants?<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"464\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/terms-coefficients-variables-and-constants.png\" alt=\"Terms, coefficients, variables, and constants\" class=\"wp-image-35296\" title=\"Terms, coefficients, variables, and constants\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/terms-coefficients-variables-and-constants.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2023\/10\/terms-coefficients-variables-and-constants-300x225.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Terms<\/strong>:<\/li>\n<\/ul>\n\n\n\n<p>In algebra, an algebraic expression is formed by a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/term\">term<\/a> or a group of terms together. Terms are single numbers, variables, or the product of a number and variables.<\/p>\n\n\n\n<p>It can be a single mathematical expression or component that can consist of numbers, variables, or a combination of both, along with any mathematical operations.&nbsp;<\/p>\n\n\n\n<p><strong>Examples of terms<\/strong>: In an algebraic expression x + 2y + 10, there are three terms: x, 2y, and 10.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Like Terms<\/strong>:<\/li>\n<\/ul>\n\n\n\n<p>The terms whose variables and their exponent power are the same are called like terms. However, the coefficients of these variables can be different.\u00a0<\/p>\n\n\n\n<p>These like terms can be combined to simplify the expression to derive the answer.&nbsp;<\/p>\n\n\n\n<p><strong>Example of like terms<\/strong>: 10y and 3y are like terms.&nbsp;&nbsp;<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Variables:<\/strong><\/li>\n<\/ul>\n\n\n\n<p>A <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\">variable<\/a> refers to a letter of the alphabet or a symbol used to denote an unknown number, value, or quantity.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Coefficients<\/strong>:<\/li>\n<\/ul>\n\n\n\n<p>A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial. It is usually a number, but sometimes may be replaced by a letter in an expression. In simple words, it is the numerical value that is a <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplier\">multiplier<\/a> of the variable.<\/p>\n\n\n\n<p><strong>Example<\/strong>: In the expression ax<sup>2<\/sup> + bx + c, x is the variable, &#8216;a&#8217; is the coefficient of x<sup>2<\/sup>, and &#8216;b&#8217; is the coefficient of x.<\/p>\n\n\n\n<p>In an expression, 5y + 7, the coefficient of y is 5.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-how-to-simplify-expressions-by-combining-like-terms\">How to Simplify Expressions by Combining Like Terms<\/h2>\n\n\n\n<p>We can only perform the operations like addition and subtraction when there are two or more like terms.&nbsp;<\/p>\n\n\n\n<p><strong>Example<\/strong>: Consider the expression 4x+2y -5x+6y+8y. Evaluate it for x=2 and y=-1.&nbsp;<\/p>\n\n\n\n<p>If we put&nbsp; x=2 and y=-1 directly in the expression, it will be time-consuming.<\/p>\n\n\n\n<p>Instead, we will first combine the like terms and simplify the expression.<\/p>\n\n\n\n<p>4x+2y -5x+6y+8y&nbsp;<\/p>\n\n\n\n<p>= (4x -5x)+(6y+8y+2y)<\/p>\n\n\n\n<p>=-x+16y<\/p>\n\n\n\n<p>Thus, the simplified expression is -x+16y.&nbsp;<\/p>\n\n\n\n<p>We can easily evaluate it for x=2 and y=-1.<\/p>\n\n\n\n<p>-2+16(-1)=-2-16=-18<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"5-equality-expressions-and-evaluation\">Equality, Expressions, and Evaluation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Equality<\/strong>: It allows us to equate two expressions or values using the <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/counting-and-comparison\/equal-sign#:~:text=The%20equal%20sign%20in%20math,two%20small%20parallel%20horizontal%20lines.\">equal sign (=)<\/a>.<\/li>\n\n\n\n<li><strong>Expressions<\/strong>: Expressions are mathematical phrases composed of variables, constants, and operations.<\/li>\n\n\n\n<li><strong>Evaluation<\/strong>: It is the process of calculating the value of an expression or equation.<\/li>\n<\/ul>\n\n\n\n<p>Equality is the link that connects expressions and evaluation. It enables us to solve equations, determine variable values, and find the result of mathematical expressions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"6-how-to-translate-word-phrases-to-algebraic-expressions\">How to Translate Word Phrases to Algebraic Expressions<\/h2>\n\n\n\n<p>Sometimes we have to write algebraic expressions based on word phrases. The following table will help you understand the translation.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"wj-table-class\"><thead><tr><th><strong>Operation<\/strong><\/th><th><strong>Phrase<\/strong><\/th><th class=\"has-text-align-center\" data-align=\"center\"><strong>Expression<\/strong><\/th><\/tr><\/thead><tbody><tr><td rowspan=\"5\"><br><br><br><br>                   Addition<\/td><td>a plus b<\/td><td class=\"has-text-align-center\" data-align=\"center\" rowspan=\"5\"><br><br><br><br>a + b<\/td><\/tr><tr><td>the sum of a and b<\/td><\/tr><tr><td>a increased by b<\/td><\/tr><tr><td>total of a and b<\/td><\/tr><tr><td>b added to a<\/td><\/tr><tr><td rowspan=\"4\"><br><br><br>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;   Subtraction<\/td><td>a minus b<\/td><td class=\"has-text-align-center\" data-align=\"center\" rowspan=\"4\"><br><br><br>a &#8211; b<\/td><\/tr><tr><td>difference of a and b<\/td><\/tr><tr><td>b subtracted from a<\/td><\/tr><tr><td>a decreased by b<\/td><\/tr><tr><td rowspan=\"2\"><br>               Multiplication<\/td><td>a times b<\/td><td class=\"has-text-align-center\" data-align=\"center\" rowspan=\"2\"><br>a \u00d7 b<\/td><\/tr><tr><td>Product of a and b<\/td><\/tr><tr><td rowspan=\"4\"><br><br>                   Division<\/td><td>a divided by b<\/td><td class=\"has-text-align-center\" data-align=\"center\" rowspan=\"4\"><br><br><br>a $\\div$ b<\/td><\/tr><tr><td>the quotient of a and b<\/td><\/tr><tr><td>the ratio of a and b<\/td><\/tr><tr><td>b by a<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Example<\/strong>: 5 subtracted from the product of 2a and 3b.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Product of 2a and 3b:&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>2a \u00d7 3b = 6ab<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Subtract 5 from 6ab:&nbsp;<\/li>\n<\/ul>\n\n\n\n<p>6ab &#8211; 5.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"7-conclusion\">Conclusion<\/h2>\n\n\n\n<p>In this article, we learned how to evaluate algebraic expressions. We also discussed important concepts associated with evaluating expressions. Let\u2019s solve a few examples and practice MCQs for better comprehension.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"8-solved-examples-on-evaluating-expressions\">Solved Examples on Evaluating Expressions<\/h2>\n\n\n\n<p><strong>1. Evaluate the expression <\/strong><strong>3y &#8211; 8<\/strong><strong> at <\/strong><strong>y = &#8211; 4<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p>Substituting y = &#8211; 4 in 3y &#8211; 8.<\/p>\n\n\n\n<p>3 \u00d7 (- 4) &#8211; 8 = &#8211; 12 &#8211; 8 = &#8211; 20<\/p>\n\n\n\n<p><strong>2. Evaluate the expression 2x<sup>2<\/sup> &#8211; 8x &#8211; 9 at x = &#8211; 1.<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p>Substituting x = &#8211; 1 in 2x<sup>2<\/sup> &#8211; 8x &#8211; 9.<\/p>\n\n\n\n<p><strong>2(- 1)<sup>2<\/sup> &#8211; 8( &#8211; 1)- 9 = 2 + 8- 9 = 1<\/strong><\/p>\n\n\n\n<p><strong>3. Simplify <\/strong><strong>3x &#8211; 9y + 2x + 4y<\/strong><strong> and evaluate it at <\/strong><strong>x = 0<\/strong><strong> and <\/strong><strong>y = &#8211; 1<\/strong><strong>.<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>:<\/p>\n\n\n\n<p>3x &#8211; 9y + 2x + 4y<\/p>\n\n\n\n<p>Combining the like terms, we get<\/p>\n\n\n\n<p>(3x + 2x) + (- 9y + 4y) = 5x &#8211; 5y<\/p>\n\n\n\n<p>Substituting&nbsp; x = 0 and y = &#8211; 1<\/p>\n\n\n\n<p>5 \u00d7 0 &#8211; 5 \u00d7 (- 1) = 0 + 5 = 5<\/p>\n\n\n\n<p><strong>4. <\/strong><strong>Identify terms, coefficients, variables, and constants.<\/strong><\/p>\n\n\n\n<p><strong>14a<sup>2<\/sup>b &#8211; 2ab &#8211; 6y<sup>2<\/sup> + 17<\/strong> &nbsp;<\/p>\n\n\n\n<p><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p>The terms are <strong>14a<sup>2<\/sup> b,- 2ab,- 6y<sup>2<\/sup> <\/strong>and 17.&nbsp;<\/p>\n\n\n\n<p>Variables are a, b, and y.<\/p>\n\n\n\n<p>Coefficient of <strong>a<sup>2<\/sup>b <\/strong>is 14.<\/p>\n\n\n\n<p>Coefficient of <strong>ab<\/strong><strong> <\/strong>is -2.<\/p>\n\n\n\n<p>Coefficient of <strong>y<sup>2<\/sup> <\/strong>is -6.<\/p>\n\n\n\n<p>17 is the constant.<\/p>\n\n\n\n<p><strong>5. <\/strong><strong>Determine the like terms:<\/strong><\/p>\n\n\n\n<p><strong>-7xy<sup>2<\/sup> + 4xy + 16z<sup>3<\/sup> &#8211; 21 + z<sup>3<\/sup> + 8xy + 20x<sup>2<\/sup> y &#8211; 8 + 12xy<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p>Pairs of like terms are:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>-7xy<sup>2<\/sup> <\/strong>and<strong> 20xy<sup>2<\/sup><\/strong><\/li>\n\n\n\n<li><strong>4xy<\/strong><strong> <\/strong>and 8xy<\/li>\n\n\n\n<li><strong>16z<sup>3<\/sup> <\/strong>and<strong> z<sup>3<\/sup><\/strong><\/li>\n\n\n\n<li><strong>-21<\/strong><strong> <\/strong>and <strong>&#8211;<\/strong>8<\/li>\n\n\n\n<li>8xy and 12xy<\/li>\n<\/ul>\n\n\n\n<p><strong>6. Convert the following word phrases into algebraic expressions.<\/strong><\/p>\n\n\n\n<p><strong>ab subtracted from the product of 7x and 8y<sup>2<\/sup>.<\/strong><\/p>\n\n\n\n<p><strong>Solution<\/strong>:&nbsp;<\/p>\n\n\n\n<p>Product of <strong>7x <\/strong>and<strong> 8y<sup>2<\/sup> <\/strong>= 7x8y<strong><sup>2<\/sup><\/strong> = 56 xy<strong><sup>2<\/sup><\/strong><\/p>\n\n\n\n<p>On subtracting ab from 56xy2, we get 56xy<strong><sup>2<\/sup><\/strong> &#8211; ab.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"9-practice-problems-on-evaluating-expressions\">Practice Problems on Evaluating Expressions<\/h2>\n\n\n\n<div class=\"spq_wrapper\"><h2 style=\"display:none;\">Evaluate Expressions - Definition, Solved Examples, Facts, FAQs<\/h2><p style=\"display:none;\">Attend this quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"1\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">What will be the value of 2x - 9 at x = 0?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">9<\/div><div class=\"spq_answer_block\" data-value=\"1\">-9<\/div><div class=\"spq_answer_block\" data-value=\"2\">2<\/div><div class=\"spq_answer_block\" data-value=\"3\">0<\/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: -9<br\/>Substituting x = 0 in 2x - 9, we get<br>\r\n$2 \\times 0 \\;-\\; 9 = 0 \\;-\\; 9 = \\;-\\; 9$<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"2\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">On evaluating the expression xy + 16 + 7x - 6y at x = 1 and y = - 1, we get<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">15<\/div><div class=\"spq_answer_block\" data-value=\"1\">12<\/div><div class=\"spq_answer_block\" data-value=\"2\">28<\/div><div class=\"spq_answer_block\" data-value=\"3\">11<\/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: 28<br\/>Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$\\left[1 \\times (-\\;1)\\right] + 16 + \\left[7 \\times 1\\right] + \\left[(-\\; 6) \\times (-\\; 1)\\right]$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28<\/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\">Simplify: ab - 9xy - 16 ab + 2xy<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">- 15ab - 7xy<\/div><div class=\"spq_answer_block\" data-value=\"1\">15ab + 7xy<\/div><div class=\"spq_answer_block\" data-value=\"2\">- 15 ab + 7xy<\/div><div class=\"spq_answer_block\" data-value=\"3\">-22abxy<\/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: - 15ab - 7xy<br\/>On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy<\/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\">In the algebraic expression $-6a^{2}b + 8x\\; -\\; 7y + 16 \\;-\\; a^{2}b \\;-\\; 5xy$, the like terms are:<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$-\\;7x;\\;-\\;5xy$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$-\\;6a^{2}b;\\;-\\;a^{2}b$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$8x;\\;-\\;5xy$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$-\\;7y;\\;16$<\/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: $-\\;6a^{2}b;\\;-\\;a^{2}b$<br\/>The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $-\\;6a^{2}b;\\;-\\;a^{2}b$.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">5<\/span><h3 class=\"sqp_question_text\">Convert the following word problem into algebraic expression. 12 added to the quotient of x and y and the sum multiplied by 3.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">$\\frac{3x}{y} + 36$<\/div><div class=\"spq_answer_block\" data-value=\"1\">$\\frac{3x}{y} + 12$<\/div><div class=\"spq_answer_block\" data-value=\"2\">$\\frac{3y}{x} + 36$<\/div><div class=\"spq_answer_block\" data-value=\"3\">$3\\left[\\frac{x}{y} + 36\\right]$<\/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: $3\\left[\\frac{x}{y} + 36\\right]$<br\/>Quotient of x and $y = \\frac{x}{y}$.<br>\r\n12 added to $\\frac{x}{y}$ gives $\\frac{x}{y} + 12$.<br>\r\n3 multiplied to $\\frac{x}{y} + 12$ gives $3\\left[\\frac{x}{y} + 36\\right]$.<\/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\": \"Evaluate Expressions - Definition, Solved Examples, Facts, FAQs\",        \n        \"about\": {\n                \"@type\": \"Thing\",\n                \"name\": \"Evaluate Expressions\"\n        },  \n        \"hasPart\": [{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"What will be the value of 2x - 9 at x = 0?\",\n                    \"text\": \"What will be the value of 2x - 9 at x = 0?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Substituting x = 0 in 2x - 9, we get<br>\r\n$$2 \\\\times 0 \\\\;-\\\\; 9 = 0 \\\\;-\\\\; 9 = \\\\;-\\\\; 9$$\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"9\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substituting x = 0 in 2x - 9, we get<br>\r\n$$2 \\\\times 0 \\\\;-\\\\; 9 = 0 \\\\;-\\\\; 9 = \\\\;-\\\\; 9$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"2\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substituting x = 0 in 2x - 9, we get<br>\r\n$$2 \\\\times 0 \\\\;-\\\\; 9 = 0 \\\\;-\\\\; 9 = \\\\;-\\\\; 9$$\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"0\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substituting x = 0 in 2x - 9, we get<br>\r\n$$2 \\\\times 0 \\\\;-\\\\; 9 = 0 \\\\;-\\\\; 9 = \\\\;-\\\\; 9$$\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"-9\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Substituting x = 0 in 2x - 9, we get<br>\r\n$$2 \\\\times 0 \\\\;-\\\\; 9 = 0 \\\\;-\\\\; 9 = \\\\;-\\\\; 9$$\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Substituting x = 0 in 2x - 9, we get<br>\r\n$$2 \\\\times 0 \\\\;-\\\\; 9 = 0 \\\\;-\\\\; 9 = \\\\;-\\\\; 9$$\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"On evaluating the expression xy + 16 + 7x - 6y at x = 1 and y = - 1, we get\",\n                    \"text\": \"On evaluating the expression xy + 16 + 7x - 6y at x = 1 and y = - 1, we get\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$$\\\\left[1 \\\\times (-\\\\;1)\\\\right] + 16 + \\\\left[7 \\\\times 1\\\\right] + \\\\left[(-\\\\; 6) \\\\times (-\\\\; 1)\\\\right]$$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$$\\\\left[1 \\\\times (-\\\\;1)\\\\right] + 16 + \\\\left[7 \\\\times 1\\\\right] + \\\\left[(-\\\\; 6) \\\\times (-\\\\; 1)\\\\right]$$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"12\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$$\\\\left[1 \\\\times (-\\\\;1)\\\\right] + 16 + \\\\left[7 \\\\times 1\\\\right] + \\\\left[(-\\\\; 6) \\\\times (-\\\\; 1)\\\\right]$$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$$\\\\left[1 \\\\times (-\\\\;1)\\\\right] + 16 + \\\\left[7 \\\\times 1\\\\right] + \\\\left[(-\\\\; 6) \\\\times (-\\\\; 1)\\\\right]$$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 2,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"28\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$$\\\\left[1 \\\\times (-\\\\;1)\\\\right] + 16 + \\\\left[7 \\\\times 1\\\\right] + \\\\left[(-\\\\; 6) \\\\times (-\\\\; 1)\\\\right]$$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Substituting x=1 and y=-1 in  xy+16+7x-6y,<br>\r\n$$\\\\left[1 \\\\times (-\\\\;1)\\\\right] + 16 + \\\\left[7 \\\\times 1\\\\right] + \\\\left[(-\\\\; 6) \\\\times (-\\\\; 1)\\\\right]$$<br>\r\n=- 1 + 16 + 7 + 6<br>\r\n= 28\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Simplify: ab - 9xy - 16 ab + 2xy\",\n                    \"text\": \"Simplify: ab - 9xy - 16 ab + 2xy\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"15ab + 7xy\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"- 15 ab + 7xy\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"-22abxy\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"- 15ab - 7xy\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"On combining like terms, we get<br>\r\n(ab - 16ab) + (-9xy + 2xy) = - 15ab - 7xy\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"In the algebraic expression $$-6a^{2}b + 8x\\\\; -\\\\; 7y + 16 \\\\;-\\\\; a^{2}b \\\\;-\\\\; 5xy$$, the like terms are:\",\n                    \"text\": \"In the algebraic expression $$-6a^{2}b + 8x\\\\; -\\\\; 7y + 16 \\\\;-\\\\; a^{2}b \\\\;-\\\\; 5xy$$, the like terms are:\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;7x;\\\\;-\\\\;5xy$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$8x;\\\\;-\\\\;5xy$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$-\\\\;7y;\\\\;16$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 1,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"The like terms have the same variables raised to the same power.<br>\r\nSo, the like terms are $$-\\\\;6a^{2}b;\\\\;-\\\\;a^{2}b$$.\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Convert the following word problem into algebraic expression. 12 added to the quotient of x and y and the sum multiplied by 3.\",\n                    \"text\": \"Convert the following word problem into algebraic expression. 12 added to the quotient of x and y and the sum multiplied by 3.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Quotient of x and $$y = \\\\frac{x}{y}$$.<br>\r\n12 added to $$\\\\frac{x}{y}$$ gives $$\\\\frac{x}{y} + 12$$.<br>\r\n3 multiplied to $$\\\\frac{x}{y} + 12$$ gives $$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$.\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3x}{y} + 36$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Quotient of x and $$y = \\\\frac{x}{y}$$.<br>\r\n12 added to $$\\\\frac{x}{y}$$ gives $$\\\\frac{x}{y} + 12$$.<br>\r\n3 multiplied to $$\\\\frac{x}{y} + 12$$ gives $$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3x}{y} + 12$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Quotient of x and $$y = \\\\frac{x}{y}$$.<br>\r\n12 added to $$\\\\frac{x}{y}$$ gives $$\\\\frac{x}{y} + 12$$.<br>\r\n3 multiplied to $$\\\\frac{x}{y} + 12$$ gives $$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$.\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"$$\\\\frac{3y}{x} + 36$$\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Quotient of x and $$y = \\\\frac{x}{y}$$.<br>\r\n12 added to $$\\\\frac{x}{y}$$ gives $$\\\\frac{x}{y} + 12$$.<br>\r\n3 multiplied to $$\\\\frac{x}{y} + 12$$ gives $$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$.\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"$$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Quotient of x and $$y = \\\\frac{x}{y}$$.<br>\r\n12 added to $$\\\\frac{x}{y}$$ gives $$\\\\frac{x}{y} + 12$$.<br>\r\n3 multiplied to $$\\\\frac{x}{y} + 12$$ gives $$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$.\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Quotient of x and $$y = \\\\frac{x}{y}$$.<br>\r\n12 added to $$\\\\frac{x}{y}$$ gives $$\\\\frac{x}{y} + 12$$.<br>\r\n3 multiplied to $$\\\\frac{x}{y} + 12$$ gives $$3\\\\left[\\\\frac{x}{y} + 36\\\\right]$$.\"\n                      }\n                    } \n\n                    }]}<\/script>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"10-frequently-asked-questions-about-evaluating-expressions\">Frequently Asked Questions about Evaluating Expressions<\/h2>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-089b541e-4808-4eb6-a7c5-b67d28df9013\" 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-0-089b541e-4808-4eb6-a7c5-b67d28df9013\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-089b541e-4808-4eb6-a7c5-b67d28df9013\"><strong>What is the difference between evaluating expressions and simplifying expressions?<\/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-0-089b541e-4808-4eb6-a7c5-b67d28df9013\">\n\n<p>Finding the value of an expression by substitution of values for given variables is known as evaluation. The process of reducing an expression to a simplified form which is easier to work with is known as simplification.<\/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-1-089b541e-4808-4eb6-a7c5-b67d28df9013\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-089b541e-4808-4eb6-a7c5-b67d28df9013\"><strong>What are unlike terms in an algebraic expression?<\/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-1-089b541e-4808-4eb6-a7c5-b67d28df9013\">\n\n<p>Unlike terms are the terms whose variable-part does not match. They either have different variables with same power, or same variables with different power, or different variables with different power.<\/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-2-089b541e-4808-4eb6-a7c5-b67d28df9013\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-089b541e-4808-4eb6-a7c5-b67d28df9013\"><strong>What is the difference between algebraic expression and 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-2-089b541e-4808-4eb6-a7c5-b67d28df9013\">\n\n<p>An algebraic expression is either a constant, a variable, or a combination of constants and variables involving algebraic operations. On the other hand, an algebraic equation is made up of two algebraic expressions connected by an equal sign.<\/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-3-089b541e-4808-4eb6-a7c5-b67d28df9013\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-089b541e-4808-4eb6-a7c5-b67d28df9013\"><strong>Why is it important to use the order of operations to evaluate algebraic expressions?<\/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-3-089b541e-4808-4eb6-a7c5-b67d28df9013\">\n\n<p>Addition, subtraction, multiplication, and division are the mathematical operations. The order of operations is important because it guarantees that people can all read and solve a problem in the way.<\/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-4-089b541e-4808-4eb6-a7c5-b67d28df9013\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-089b541e-4808-4eb6-a7c5-b67d28df9013\"><strong>Why is the simplification of an expression important?<\/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-4-089b541e-4808-4eb6-a7c5-b67d28df9013\">\n\n<p>Simplification of expressions is a handy mathematics skill because it gives us a chance to change complex or awkward expressions into simpler forms.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>What Does \u201cEvaluate Expressions\u201d Mean in Math? To evaluate simply means finding the value of something. In mathematics, the term &#8220;evaluate&#8221; refers to finding the numerical value or result of a mathematical expression or equation.&nbsp; For example, to evaluate the expression &#8220;5 + 3&#8221; means to perform the addition and find the sum, which is &#8230; <a title=\"Evaluate Expressions &#8211; Definition, Solved Examples, Facts, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/evaluate\" aria-label=\"More on Evaluate Expressions &#8211; Definition, Solved Examples, Facts, 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-1050","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\/1050","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=1050"}],"version-history":[{"count":13,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1050\/revisions"}],"predecessor-version":[{"id":41751,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/1050\/revisions\/41751"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=1050"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=1050"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=1050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}