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The lesson then explains equations versus inequalities, including the rule for flipping inequality signs when multiplying or dividing by negative numbers. Practice items require evaluating expressions and selecting the correct inequality or expression model for given scenarios.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/algebra-learning-objectives-translating-english-into-math-simplifying-expressions-equations-and-inequalities/263939/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/algebra-learning-objectives-translating-english-into-math-simplifying-expressions-equations-and-inequalities/263939.png","ImageObject",300,407,{"name":42,"@type":43},"วิน","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-25","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you translate English phrases into algebraic expressions?","Question",{"text":63,"@type":64},"Use numbers, operations, and variables to represent relationships described in words. Assign the same letter to represent the same number throughout the expression, and use different letters for different numbers.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does simplifying a linear expression mean?",{"text":68,"@type":64},"It means performing all possible operations inside the expression, especially combining like terms. Like terms share the same variable and exponent, such as 5x and 4x.",{"name":70,"@type":61,"acceptedAnswer":71},"When solving inequalities, what rule applies with negative numbers?",{"text":72,"@type":64},"If you multiply or divide both sides of an inequality by a negative value, you must flip the inequality sign to keep it true.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},263939,1789375851,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":80,"read_time":145},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","Algebra  \nLearning Objectives  \nBy the end of this lesson, you will be able to:  \n• Write, evaluate, and compute with expressions and polynomials  \n• Write, manipulate, and solve linear equations and inequalities  \n• Write, manipulate, and solve quadratic equations  \n• Compare, represent, and evaluate functions  \nTranslating English into Math  \nAn algebraic expression uses numbers, operations, and variables to show number relationships.  \nVariables are letters that represent unknown numbers.  \nEach time a letter is used within the same expression, it represents the same number. Use different letters to represent different numbers.  \n2x + 3x + x 8d – 2a + 3b  \nTranslating English into Math  \n\n| Algebraic Expressions in Words | In Symbols |\n| --- | --- |\n| the product of 5 and a number | 5x |\n| a number decreased by 12 | x – 12 |\n| the sum of 3 and the square of a number | 3 + x2 |\n| 6 less than the quotient of a number and 2 | x2 − 6 |\n| one-half a number increased by 15 | 12x + 15 |\n| 4 times the difference of –3 and a number | 4(–3 – x) |\n| the square root of the sum of a number and 3 | x + 3\u003Cbr>|\n\nTranslating English into Math  \n1. A minor-league baseball team is giving a local charity the sum of $1500 and $0.50 for each ticket over 2000 sold for one game. Let t represent the number of tickets sold. If the team sells more than 2000 tickets, which of the following expressions could be used to find the amount of the donation?  \nA. $1500 + $0.50t  \nB. $1500 + $0 . 50(2000 – t)  \nC. $1500 + $0 . 50(t – 2000)  \nD. $1500(2000 – t)($0 . 50)  \nSimplifying and Evaluating Expressions  \nSimplifying a linear expression means performing all the operations you can within an expression.  \nWhen working with variables, you must remember an important rule: you can add and subtract like terms only.  \n5x + 2y – 7z + 4x  \nThe only like terms are 5x and 4x.  \nThey can be combined: 5x + 4x = 9x  \n9x + 2y – 7z  \nSimplifying and Evaluating Expressions  \n2. What is the value of 36x − 8 y2 when x = 3 andy = – 6?  \nA. 3,600  \nB. 1,200  \nC. –180  \nD. –288  \nEquations and Inequalities  \nAn equation is a mathematical statement that demonstrates the equality between two expressions.  \n4 × 2 = 8  \nAn inequality is a mathematical statement that connects two unequal expressions.  \nUnlike equations, you must flip the inequality sign when you multiply or divide by a negative value.  \nInstead of an equal sign, an inequality will contain one of the following symbols:  \n• Greater than (>) –2x + 11 ≤ –7 −2x􀁤 − 18  \n•• LesGresatthearnth(a) or equal to (≥)  – 11 –11  − 2  􀁤  − 2  x 9  \n• Less than or equal to (≤) –2x ≤ –18  \nEquations and Inequalities  \n3. Annie is planning a business meeting for her company. She has a budget of $1,325 for renting a meeting room at a local hotel and providing lunch. She expects 26 people to attend the meeting. The cost of renting the meeting room is $270. Which inequality shows how to find the amount, x, Annie can spend on lunch for each person?  \nA. 26x + 270  > 1,325  \nB. 26x + 270  \u003C 1,325  \nC. 270x + 26  > 1,325  \nD. 270x + 26  \u003C 1,325  \nMixed Practice  \n4. There are s steps from the pedestal to the head of the Statue of Liberty. The number of steps in the Washington Monument is 27 less than 6 times the number of steps in the Statue of Liberty. Which expression represents the number of steps in the Washington Monument in terms of s?  \nA. 6s – 27  \nB. 27 \u003C 6s  \nC. 6(s + 27)  \nD. 6s \u003C 27","cbCaily1ch2Q5UNf","https://ap.wps.com/l/cbCaily1ch2Q5UNf","pdf",639888,43,"English","# Learning Objectives\n# Translating English into Math\n## Algebraic Expressions in Words and In Symbols\n# Simplifying and Evaluating Expressions\n# Equations and Inequalities\n# Mixed Practice","[{\"question\":\"How do you translate English phrases into algebraic expressions?\",\"answer\":\"Use numbers, operations, and variables to represent relationships described in words. Assign the same letter to represent the same number throughout the expression, and use different letters for different numbers.\"},{\"question\":\"What does simplifying a linear expression mean?\",\"answer\":\"It means performing all possible operations inside the expression, especially combining like terms. Like terms share the same variable and exponent, such as 5x and 4x.\"},{\"question\":\"When solving inequalities, what rule applies with negative numbers?\",\"answer\":\"If you multiply or divide both sides of an inequality by a negative value, you must flip the inequality sign to keep it true.\"}]","Algebra - Learning Objectives - Translating English into Math, Simplifying Expressions, Equations and Inequalities | PDF",108]