{"id":993,"date":"2022-04-13T08:27:32","date_gmt":"2022-04-13T08:27:32","guid":{"rendered":"https:\/\/www.splashlearn.com\/article-test-new\/?page_id=993"},"modified":"2023-08-12T07:34:39","modified_gmt":"2023-08-12T07:34:39","slug":"algebra-definition-with-examples","status":"publish","type":"post","link":"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra","title":{"rendered":"Algebra &#8211; Definition, Examples, Practice Problems, 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-d300be55-41db-4ea9-934a-a559ccce84bb\" 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\/algebra#0-algebra-a-puzzle>Algebra A Puzzle<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra#1-writing-the-statements-in-algebraic-form>Writing the Statements in Algebraic Form<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra#2-solved-examples-on-algebra>Solved Examples on Algebra<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra#3-practice-problems-on-algebra>Practice Problems on Algebra<\/a><\/li><li><a href=https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra#4-frequently-asked-questions-on-algebra>Frequently Asked Questions on Algebra<\/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<p class=\"eplus-wrapper\"><strong>Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.<\/strong>&nbsp; In algebra, we use numbers like 2, \u22127, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"376\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-1.png\" alt=\"Variable in Algebra\" class=\"wp-image-5382\" title=\"Variable in Algebra\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-1.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-1-300x182.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Signs used in algebra&nbsp;<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\">Mathematical operations like <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/multiplication\/multiplication\" title=\"\">multiplication<\/a> (\u00d7), <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/division\/division\" title=\"\">division<\/a> (\u00f7), <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/addition\/addition\" title=\"\">addition<\/a> (+), and <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/subtraction\/subtract\" title=\"\">subtraction<\/a> (\u2212) are used to form a meaningful mathematical <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/number-sense\/expression\" title=\"\">expression<\/a>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">There are other signs and symbols that are also frequently used in algebra.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">equal to (=), not equal to (\u2260), less than (&lt;), greater than (\uff1e), less than equal to(\u2264), greater than equal to ( \u2265).<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"400\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-2.png\" alt=\"Signs and symbol used in algebra\" class=\"wp-image-5383\" title=\"Signs and symbol used in algebra\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-2.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-2-300x194.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">A straightforward example of an equation in algebra is x + 5 = 10.<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"0-algebra-a-puzzle\">Algebra A Puzzle<\/h2>\n\n\n\n<p class=\"eplus-wrapper\">Algebra is all about puzzles.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Here is one for you.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>&nbsp;\u2b1c+ 10 = 13<\/strong><\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>\u2b1c<\/strong> plus 10 is equal to 13.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We have to find the number in this box, and what number, when added to 10, gives us 13. Simple, it&#8217;s three; we can see that 3 plus 10 equals 13. The puzzle we see here contains only numbers.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We can also say that x plus 10 equals 13. Find x.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full eplus-wrapper\"><img loading=\"lazy\" decoding=\"async\" width=\"620\" height=\"296\" src=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-3.png\" alt=\"puzzle : numbers in algebra\" class=\"wp-image-5384\" title=\"puzzle : numbers in algebra\" srcset=\"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-3.png 620w, https:\/\/www.splashlearn.com\/math-vocabulary\/wp-content\/uploads\/2022\/06\/Algebra-3-300x143.png 300w\" sizes=\"auto, (max-width: 620px) 100vw, 620px\" \/><\/figure>\n\n\n\n<p class=\"eplus-wrapper\">We use the letter in place of the box. These letters are also called <a href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/variable\" title=\"\">variables<\/a>, sometimes referred to as the unknown since their values are unknown to us.<\/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\/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\/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 = document.querySelector(\"#recommended-games-container-id\");\n            const slidesContainer = container.querySelector(\".recommended-games-container-slides\");\n            const cards = slidesContainer.querySelectorAll(\".game-card-container-outer\");\n            const scrollRightArrow = container.querySelector(\".scroll-right-arrow\");\n\n            function adjustContainerStyles() {\n                const numCards = cards.length;\n\n                if (numCards === 1) {\n                    container.style.maxWidth = \"30%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 2) {\n                    container.style.maxWidth = \"50%\";\n                    container.style.textAlign = \"center\";\n                } else if (numCards === 3) {\n                    container.style.maxWidth = \"75%\";\n                    container.style.textAlign = \"center\";\n                } else {\n                    container.style.maxWidth = \"\";\n                    container.style.textAlign = \"\";\n                }\n            }\n\n            function checkScrollPosition() {\n                const maxScrollLeft = slidesContainer.scrollWidth - slidesContainer.clientWidth;\n                if ((slidesContainer.scrollLeft + 10) >= maxScrollLeft) {\n                    scrollRightArrow.style.display = \"none\"; \/\/ Hide the arrow if fully scrolled\n                } else {\n                    scrollRightArrow.style.display = \"block\"; \/\/ Show the arrow if not fully scrolled\n                }\n            }\n\n            scrollRightArrow.addEventListener(\"click\", function() {\n                const scrollAmount = 300; \/\/ Adjust based on the container's width and your needs\n                slidesContainer.scrollLeft += scrollAmount;\n                setTimeout(checkScrollPosition, 100); \/\/ Delay to allow scroll update\n            });\n\n            adjustContainerStyles();\n            checkScrollPosition();\n            slidesContainer.addEventListener(\"scroll\", checkScrollPosition);\n        });\n    <\/script><h2 class=\"wp-block-heading eplus-wrapper\" id=\"1-writing-the-statements-in-algebraic-form\">Writing the Statements in Algebraic Form.<\/h2>\n\n\n\n<ol class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">The total cost of 1 kg apple and 2 kg of guava is $3. If <em>x <\/em>represents the cost of 1 kg apple and <em>y <\/em>&nbsp;represents the cost of 1 kg guava, then this statement is represented in the form of an algebraic expression as:<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><em>x<\/em> + 2<em>y<\/em> = 3<\/p>\n\n\n\n<ol start=\"2\" class=\"eplus-wrapper wp-block-list\">\n<li class=\"eplus-wrapper\">If the area of the rectangle is 36 cm<sup>2<\/sup>. Its length is represented as <em>l <\/em>&nbsp;and width is represented as <em>b<\/em>. Then this statement is represented as :<\/li>\n<\/ol>\n\n\n\n<p class=\"eplus-wrapper\"><em>l&nbsp; <\/em>\u00d7 <em>b<\/em> = 36<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"2-solved-examples-on-algebra\">Solved Examples on Algebra<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Question 1: <\/strong>William had a few chocolates with him. Jack came across and took away five of his chocolates. And then he had just seven chocolates remaining with him. How many chocolates did he have before Jack came to him?&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Answer: <\/strong>Assume William had x chocolates with him, and Jack took away five of his chocolates.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x \u2212 5 = 7<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, we subtract five from x. Moreover, after all this, William was left with seven chocolates. This entire puzzle will then equal seven.&nbsp;<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x \u2212 5 + 5 = 7 + 5<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x = 12<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Question 2: <\/strong>A magician was invited to perform at a birthday party. The magician arrived at the party with 18 balloons. On the way, 7 balloons got blown away. So how many balloons did the magician have in the beginning?<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Answer: <\/strong>We can solve this problem using algebra, x \u2212 7 = 18.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, we subtract seven from x, and after that, we are left with 18 balloons.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now, all we have to do is find x.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x \u2212 7 + 7= 18 + 7<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x = 18 + 7<\/p>\n\n\n\n<p class=\"eplus-wrapper\">x = 25<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Question 3: <\/strong>Amman wants to visit a zoo. A ticket for the entry to the zoo cost $4. He has only $3. How much more money does he need to buy the ticket?<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><strong>Answer: <\/strong>Let Amman need $<em>y <\/em>more to buy the ticket.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">So, we will solve this problem using algebra, 3 + <em>y <\/em>= 4<\/p>\n\n\n\n<p class=\"eplus-wrapper\">We add <em>y <\/em>to 3 to get 4.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">Now we need to find the value of <em>y<\/em>.<\/p>\n\n\n\n<p class=\"eplus-wrapper\">3 + <em>y <\/em>\u2212 3 = 4 \u2212 3<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>y <\/em>= 4 \u2212 3<\/p>\n\n\n\n<p class=\"eplus-wrapper\"><em>y <\/em>= 1<\/p>\n\n\n\n<h2 class=\"wp-block-heading eplus-wrapper\" id=\"3-practice-problems-on-algebra\">Practice Problems on Algebra<\/h2>\n\n\n\n<p class=\"eplus-wrapper\"><div class=\"spq_wrapper\"><h2 style=\"display:none;\">Algebra<\/h2><p style=\"display:none;\">Attend this Quiz & Test your knowledge.<\/p><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">1<\/span><h3 class=\"sqp_question_text\">Write this statement as an equation: 4 times a number equals 40.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">4 \u00d7 y = 40<\/div><div class=\"spq_answer_block\" data-value=\"1\">4 + y = 40<\/div><div class=\"spq_answer_block\" data-value=\"2\">4 = y \u00d7 40 <\/div><div class=\"spq_answer_block\" data-value=\"3\">4 \u00d7 40 = y<\/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: 4 \u00d7 y = 40<br\/>Times here means multiplication (\u00d7). <br>\r\nA number is not specified so we take a variable y and write the equation  4 \u00d7 y = 40.<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"0\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">2<\/span><h3 class=\"sqp_question_text\">There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">85<\/div><div class=\"spq_answer_block\" data-value=\"1\">95<\/div><div class=\"spq_answer_block\" data-value=\"2\">80<\/div><div class=\"spq_answer_block\" data-value=\"3\">5<\/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: 85<br\/>Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85<\/span><\/div><\/div><\/div><div class=\"spq_question_wrapper\" data-answer=\"3\"><span class=\"spq_question_header\"><span class=\"sqp_question_number\">3<\/span><h3 class=\"sqp_question_text\">Evaluate the expression 4t + 7 for t = 2.<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">11<\/div><div class=\"spq_answer_block\" data-value=\"1\">7<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">15<\/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: 15<br\/>4t + 7 = 4(2) + 7 = 8 + 7 = 15<\/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\">There are only 5 books on the study table, but you have 14 books. How many books are missing from the study table?<\/h3><\/span><div class=\"spq_answer_block\" data-value=\"0\">5<\/div><div class=\"spq_answer_block\" data-value=\"1\">9<\/div><div class=\"spq_answer_block\" data-value=\"2\">4<\/div><div class=\"spq_answer_block\" data-value=\"3\">19<\/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\/>Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 9<\/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       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     \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?\",\n                    \"text\": \"There were 90 kites in a shop, and the shopkeeper was left with only 5 kites. How many kites does the shopkeeper sell?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"95\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"80\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 0,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"85\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let the shopkeeper sell x kites. <br>\r\n90 \u2212 x = 5 <br>\r\nSo x = 85\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"Evaluate the expression 4t + 7 for t = 2.\",\n                    \"text\": \"Evaluate the expression 4t + 7 for t = 2.\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"4t + 7 = 4(2) + 7 = 8 + 7 = 15\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"11\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4t + 7 = 4(2) + 7 = 8 + 7 = 15\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 1,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"7\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4t + 7 = 4(2) + 7 = 8 + 7 = 15\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"4t + 7 = 4(2) + 7 = 8 + 7 = 15\"\n                                    }\n                                }],\n                    \"acceptedAnswer\": {\n                      \"@type\": \"Answer\",\n                      \"position\": 3,\n                      \"encodingFormat\": \"text\/html\",\n                      \"text\": \"15\",\n                      \"comment\": {\n                          \"@type\": \"Comment\",\n                          \"text\": \"4t + 7 = 4(2) + 7 = 8 + 7 = 15\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"4t + 7 = 4(2) + 7 = 8 + 7 = 15\"\n                      }\n                    } \n\n                    },{\n                    \"@type\": \"Question\",   \n                    \"eduQuestionType\": \"Multiple choice\",\n                    \"learningResourceType\": \"Practice problem\",\n                    \"name\": \"There are only 5 books on the study table, but you have 14 books. How many books are missing from the study table?\",\n                    \"text\": \"There are only 5 books on the study table, but you have 14 books. How many books are missing from the study table?\",\n                    \"comment\": {\n                      \"@type\": \"Comment\",\n                      \"text\": \"Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 9\"\n                    },\n                    \"encodingFormat\": \"text\/html\",\n                    \"suggestedAnswer\": [ {\n                                \"@type\": \"Answer\",\n                                \"position\": 0,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"5\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 9\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 2,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"4\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 9\"\n                                    }\n                                }, {\n                                \"@type\": \"Answer\",\n                                \"position\": 3,\n                                \"encodingFormat\": \"text\/html\",\n                                \"text\": \"19\",\n                                \"comment\": {\n                                    \"@type\": \"Comment\",\n                                    \"text\": \"Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 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\": \"Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 9\"\n                        },\n                      \"answerExplanation\": {\n                        \"@type\": \"Comment\",\n                        \"text\": \"Let x books be missing from the study table. <br>\r\n14 \u2212 x = 5 <br> \r\nSo, x = 9\"\n                      }\n                    } \n\n                    }]}<\/script><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"4-frequently-asked-questions-on-algebra\">Frequently Asked Questions on Algebra<\/h2>\n<\/div>\n<\/div>\n\n\n<div class=\"wp-block-ub-content-toggle\" id=\"ub-content-toggle-542b4790-3409-49e3-837e-e3b3d13481a6\" 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-0-542b4790-3409-49e3-837e-e3b3d13481a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-542b4790-3409-49e3-837e-e3b3d13481a6\"><strong>Six less than a number equals two. What is the number?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><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-0-542b4790-3409-49e3-837e-e3b3d13481a6\">\n\n<p class=\"eplus-wrapper\">Let us assume the number to be a variable. Let the number be x. As per the question, we can write x &#8211; 6 = 2. On solving this, we get x = 8. Therefore, the required number is 8.<\/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-1-542b4790-3409-49e3-837e-e3b3d13481a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-542b4790-3409-49e3-837e-e3b3d13481a6\"><strong>What are the different types of Algebraic Expressions?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><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-1-542b4790-3409-49e3-837e-e3b3d13481a6\">\n\n<p class=\"eplus-wrapper\">Different types of algebraic expression include:&nbsp;Monomial (Example :7f), Binomial (Example: 4l + 3m), Trinomial (Example: 3x + 5y + 6z), Quadratic (Example: 5x<sup>2<\/sup> + 2x \u2212 9 ) cubic (Example: 2x<sup>3<\/sup> \u2212 4x<sup>2<\/sup> + 3x \u22124 ).<\/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-2-542b4790-3409-49e3-837e-e3b3d13481a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-542b4790-3409-49e3-837e-e3b3d13481a6\"><strong>What are the four rules of algebra?<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><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-2-542b4790-3409-49e3-837e-e3b3d13481a6\">\n\n<p class=\"eplus-wrapper\">Commutative Rule of Addition, Commutative Rule of Multiplication, Associative Rule of Addition, Associative Rule of Multiplication, Distributive Rule of Multiplication.<\/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-3-542b4790-3409-49e3-837e-e3b3d13481a6\" tabindex=\"0\">\n                    <p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-542b4790-3409-49e3-837e-e3b3d13481a6\"><strong>What are the basic terms of Algebra?\u00a0<\/strong><\/p><div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap left\"><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-3-542b4790-3409-49e3-837e-e3b3d13481a6\">\n\n<p class=\"eplus-wrapper\">Basic terms in algebra are numbers, constants, equations, variables, linear equations, quadratic equations, etc.<\/p>\n\n<\/div><\/div>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.&nbsp; In algebra, we use numbers like 2, \u22127, 0.068 etc., which have a definite or fixed value. In algebra we use variables like x, y, and z along with numbers. Signs used in algebra&nbsp; Mathematical operations like &#8230; <a title=\"Algebra &#8211; Definition, Examples, Practice Problems, FAQs\" class=\"read-more\" href=\"https:\/\/www.splashlearn.com\/math-vocabulary\/algebra\/algebra\" aria-label=\"More on Algebra &#8211; Definition, Examples, Practice Problems, 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-993","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\/993","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=993"}],"version-history":[{"count":25,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/993\/revisions"}],"predecessor-version":[{"id":32859,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/posts\/993\/revisions\/32859"}],"wp:attachment":[{"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/media?parent=993"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/categories?post=993"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.splashlearn.com\/math-vocabulary\/wp-json\/wp\/v2\/tags?post=993"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}