[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-408820-105":59,"doc-detail-408820-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","chapter-7-introduction-to-algebra","Chapter 7 - Introduction to Algebra","","Chapter 7 introduces foundational algebra vocabulary and shows how algebraic language connects letters, numbers, and operations. It defines essential terms such as variable, coefficient, term, expression, equation/equality, inequality, solution, base, and exponent. The chapter then explains how to interpret algebra word problems by translating verbal statements into algebraic expressions and selecting the correct operations using keyword cues. Practice exercises reinforce setting up expressions from real-world phrases.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/chapter-7-introduction-to-algebra/408820/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/chapter-7-introduction-to-algebra/408820.png","ImageObject",300,407,{"name":92,"@type":93},"Mary Man","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-09-28",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is algebra, and how does it relate to real-life problems?","Question",{"text":112,"@type":113},"Algebra is a branch of mathematics that uses letters, numbers, and operations to show how things are related. It can be used to solve problems that arise in real life.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does the difference between an equation and an inequality look like in symbols?",{"text":117,"@type":113},"An equation compares two expressions with an equal sign (=). An inequality compares expressions using symbols like ≠, \u003C, >, ≤, ≥, or ≈ to show different relationships.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you solve algebra word problems correctly?",{"text":121,"@type":113},"Read the problem carefully, identify which terms are known constants and which are unknown variables, then determine the operation needed. Use vocabulary and keyword lists to match verbal ideas to the proper algebraic expressions.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},408820,1790695634,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":36,"preview_page_count":4},7421720224475,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","# Chapter 7Introduction to Algebra\n\n## 7.1 Algebra Vocabulary\n\nAlgebra is the branch of mathematics that uses a combination of letters,numbers,and operations(addition,subtraction,multiplication,and division)to show how two or more things are relatedto each other.Solving algebra problems can be made simple if you learn the language and rules.Algebra can also be used to solve problems that arise in real life.The table below shows the basicvocabulary for solving algebra problems.  \ncbngo⁴+ variable4x(x is the variable)coefficient4x(4 is the coefficient)term5x²+x-2(5x²,x,and 2 are terms)constant5x+2y+4(4 is a constant) sentence2x=7 or 5≤xequation/equality4x=8inequality7x\u003C30 or x≠6solutionif 3x=9,then x=3base6³(6 is the base)exponent6³(3 is the exponent)  \nDefinition  \na mathematical combination of numbers,variables,and operations  \na letter that can be replaced by a numbera number multiplied by a variable or vari-ables  \nnumbers or variables separated by +or-signs  \n a term that does not have a variabletwo algebraic expressions connected by=,≠,\u003C,>,≤,≥,or≈  \na sentence with an equal sign  \na sentence with one of the following signs:≠,\u003C,>,≤,≥,or≈  \nnumbers that will make a sentence truethe number used as a factor  \nthe number of times the base is multipliedby itself  \nUse the vocabulary words below to complete the paragraph.Some words will be used morethan once.You may have to add or remove an ‘s³to make the word fit in the sentence.  \n 1. can be used to solve real world mathematical problems and situations.Solving 1. problems can be made simple by learning to use a few new words. 1. uses symbols,integers,and letters to represent mathematical ideas.This combination ofsymbols,integers,and letters arecalled 2.  2. are like instructions for solving a puzzle or riddle.Each 3. ,orpart of the 2. ,separated by+and-signs,are actually detailed instructions for finding thefinal answer.For example,“52”is one of the 3. in the 2. \"5²+7”.It(5²)is read \"5to the second power\"or \"5 squared\".This tells me that I must multiply 5,the 4. ,by itself,because 2 is the 5. .After I complete that step,then I only need to add 7 to find my finalanswer of 32.When I write 5²+7=32,it is no longer a(n) 2. ;it is now a(n) 6. This 6. is called a(n)_ 7. because of the=sign.Some 6. do not have an=signbecause they describe two 2. and one is either greater than(>)or less than(\u003C)the other.This type of 6. is known as a(n) 8. .Sometimes letters are used to describe unknownamounts.These letters are called 9. _.If the 9. has a number in front of it,as in 16x,then 16 is the 10. of the 9. ,x.  \n·  \n1.  \nalgebra  \n2.  \nequation(s)  \n3.  \ninequality  \n4.  \nbase  \nequality  \n5.  \nexpression(s)  \n6.  \n7.  \ncoefficient  \n8.  \nexponent  \n9.  \nvariable(s)  \n10.  \nterm(s)  \n7.2 Understanding Algebra Word Problems  \n## 7.2 Understanding Algebra Word Problems\n\nAlgebra word problems are used to describe real life situations and solve real life problems.Thekey to correctly solving a word problem is to correctly express the verbal ideas in algebraic form.This is where the word \"expression\"gets its meaning in algebra.A simple list of what to do willhelp you solve algebra word problems.Vocabulary will help you determine which operation shouldbe completed to correctly answer the problem.  \nDo  \n1.Read the problem CAREFULLY.  \n2.Decide what is known.These terms are expressed as constants (integers).  \n3.Decide what is unknown.These terms are expressed as variables.(Whether or not the variablehas a coefficient is based on each problem.)  \n4.Decide what the question is asking.Determine the operation needed to be done.  \nThe list of keywords below will help you identify the operation that needs to be done.  \n\n| Operation   | Keywords   |\n| --- | --- |\n| Addition   | increased by,is added,totals,combined,more than,plus,more,sum,and   |\n| Subtraction   | difference,subtracted from,subtracted by,decreased by,minus,less,lower than   |\n| Multiplication   | times,each,of,double,twice,half,multiply,produ","cbCaihIpnLrYixEE","https://ap.wps.com/l/cbCaihIpnLrYixEE","pdf",9664600,16,"English","# 7.1 Algebra Vocabulary\n## 7.2 Understanding Algebra Word Problems\n# 7.3 Setting Up Algebraic Expressions and Equations from Verbal Statements","[{\"question\":\"What is algebra, and how does it relate to real-life problems?\",\"answer\":\"Algebra is a branch of mathematics that uses letters, numbers, and operations to show how things are related. It can be used to solve problems that arise in real life.\"},{\"question\":\"What does the difference between an equation and an inequality look like in symbols?\",\"answer\":\"An equation compares two expressions with an equal sign (=). An inequality compares expressions using symbols like ≠, \\u003c, \\u003e, ≤, ≥, or ≈ to show different relationships.\"},{\"question\":\"How do you solve algebra word problems correctly?\",\"answer\":\"Read the problem carefully, identify which terms are known constants and which are unknown variables, then determine the operation needed. Use vocabulary and keyword lists to match verbal ideas to the proper algebraic expressions.\"}]","Chapter 7 - Introduction to Algebra | PDF",1790580650]