[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-207043-105":59,"doc-detail-207043-en":125},{"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":118,"head_meta":120,"extra_data":122,"updated_unix":124},105,"en","aqa-gcse-maths-algebra-toolkit-algebraic-notation-algebraic-vocabulary","AQA GCSE Maths - Algebra Toolkit - Algebraic Notation & Algebraic Vocabulary","","Algebra Toolkit revision notes for AQA GCSE Maths, focused on algebraic notation and key vocabulary. Covers how symbols are used differently in arithmetic versus algebra, including addition, subtraction, multiplication, division, powers (indices), roots, and the effect of the order of operations and brackets. Explains how to translate worded situations into expressions and equations, with a worked example using variables. Defines and distinguishes key terms such as term, factor, expression, equation, formula, and identity, emphasizing their roles in solving and understanding algebra.",{"@graph":69,"@context":117},[70,84,100],{"@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/aqa-gcse-maths-algebra-toolkit-algebraic-notation-algebraic-vocabulary/207043/",{"url":83,"name":65,"@type":85,"author":86,"headline":65,"publisher":89,"fileFormat":92,"inLanguage":63,"description":67,"dateModified":93,"datePublished":94,"encodingFormat":92,"isAccessibleForFree":95,"interactionStatistic":96},"DigitalDocument",{"name":87,"@type":88},"Bill Black","Person",{"url":74,"name":90,"@type":91},"DocShare","Organization","application/pdf","2026-09-07","2026-09-05",true,{"@type":97,"interactionType":98,"userInteractionCount":8},"InteractionCounter",{"@type":99},"ViewAction",{"@type":101,"mainEntity":102},"FAQPage",[103,109,113],{"name":104,"@type":105,"acceptedAnswer":106},"What is the difference between arithmetic notation and algebraic notation?","Question",{"text":107,"@type":108},"In arithmetic, addition and subtraction use + and −, while in algebra multiplication uses implied notation and division uses fractions. The meaning of symbols depends on whether you are working with numbers or algebraic expressions.","Answer",{"name":110,"@type":105,"acceptedAnswer":111},"How do brackets and the order of operations work in algebra?",{"text":112,"@type":108},"Brackets take priority, so expressions inside parentheses are worked out first. After that, multiplication outside the brackets is applied, consistent with the usual order of operations.",{"name":114,"@type":105,"acceptedAnswer":115},"What are the differences between an expression, equation, formula, and identity?",{"text":116,"@type":108},"An expression has no equals sign and cannot be solved, while an equation has an equals sign and can be solved for missing values. A formula is a rule written using letters that may be rearranged into an equation with more information. An identity uses an identity sign and is true for all values, so it cannot be solved.","https://schema.org",{"og:url":83,"og:type":119,"og:title":65,"og:site_name":90,"og:description":67},"article",{"robots":121,"canonical":83},"index,follow",{"doc_id":123,"site_id":62},207043,1788597666,{"code":4,"msg":5,"data":126},{"doc_id":123,"user_id":127,"nickname":87,"user_avatar":128,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":129,"file_id":130,"file_url":131,"file_type":132,"file_size":133,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":134,"language":135,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":136,"faqs":137,"seo_title":138,"seo_description":67,"update_tm":124,"read_time":41},24189269381491,"https://ap-avatar.wpscdn.com/avatar/160000cf11732dd8392?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788146458752108895","Head to www.savemyexams. com for more awesome resources  \n AQA GCSE Maths  \nAlgebra Toolkit  \nContents  \n Algebraic Notation & Vocabulary  \n Algebra Basics  \nPage 1 of 12  \n© 2015 − 2025 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers  \nYour notes  \nHead to www.savemyexams. com for more awesome resources  \nAlgebraic Notation & Vocabulary  \nAlgebraic Notation What is algebraic notation?  \n When writing expressions in algebra (as opposed to sums in numbers) there are conventions and symbols that are used that take on a particular meaning  \n This is what we mean by algebraic notation  \n In number work, for adding and subtracting, we use + and –  \n In algebra, we still do!  \n Examples:  \na + b  \nc + d – e  \n However for multiplication, no symbol is used, and for division, fractions are used  \n Examples:  \nab (means a × b)  \na  \n b (means a ÷ b)  \n3ab (means 3 × a × b)  \n We can have combinations of these of course  \n Examples:  \nab + ~~ ~~c~~3~~ (means a×b + c÷3)  \nThe order of operations still apply in algebra soa×b and c÷d would happen before the addition  \n Powers (indices) and roots are used the same way as with numbers  \n Examples:  \na2 means a × a  \n4a2 means 4 × a2  \nWith the order of operations, a2 will happen before multiplying by 4  \n Brackets also work in the same way as with numbers  \n Examples  \n3 ( a + b) means 3 × ( a + b) but with brackets taking priority, when known, a + b would be worked out |rst, then we would multiply by 3  \n5x(2x + 3) means 5 × x × (2 × x + 3) , again with the brackets worked out |rst How will I need to use algebraic notation?  \n Algebraic expressions are used in many parts of the course  \n You need to be able to understand their meaning and work with them  \n e. g. for rearranging a formula  \n You may be given a situation in words that you then have to write in algebra  \n Which could lead to an equation you may then have to solve  \nPage 2 of 12  \n© 2015 − 2025 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers  \nYour notes  \nHead to www.savemyexams. com for more awesome resources  \n Worked example  \nAtthe start of a competition, Raheem hasp conkers and Howard has 2q conkers.  \nAtthe end of the competition Raheem still has the same number of conkers he started with but Howard won 6 and lost none.  \n(a) Write down an expression for the number of conkers that Howard has atthe end of the competition.  \nHoward has 2q + 6  \nAtthe end of the competition, Raheem and Howard have a total of 40 conkers.  \n(b) Write an equation in terms of p and q that shows the number of conkers Raheemand Howard have in total atthe end of the competition.  \np + 2q + 6 = 40  \nThis can besimpli|ed top + 2q = 34  \nPage 3 of 12  \n© 2015 − 2025 Save My Exams, Ltd. · Revision Notes, Topic Questions, Past Papers  \nYour notes  \nHead to www.savemyexams. com for more awesome resources  \nAlgebraic Vocabulary  \nYou need to know the meanings ofthe word term and factor, asthey are the basic building blocks in algebra.  \nYou need to knowthe diyerences between an expression, equation, formula, identity and inequality in order to fully understand algebra and proofs. You may be asked to identify which is which.  \nWhatisa term?  \n Aterm is either…  \n …a letter (variable) on its own, e. g. x  \n . . a number on its own, e. g. 20  \n …a number multiplied by a letter, e. g. 5x  \n The number in front of a letter is called a coezcient  \n The coezcient of x in the term 6x is 6  \n The coezcient of y in the term-5y is-5  \n Terms that are just numbers (with no letters) are called constants  \n Terms can include powers and more than one letter  \n E. g. 6xy, 4x2 , ab3c,…  \nWhat isa factor?  \n A factor is any number or letter that divides a term exactly (with no remainder)  \n E. g. all the factors of 4xy are 1 , 2 , 4 , x, 2x, 4x, y, 2y, 4y, xy, 2xy and 4xy  \n A term can be separated into factors that multiply together to give that term  \n E. g. two factors of 5x are 5 andx  \n To factorise means to write something as a ","cbCait4Ok7Qhz9zy","https://ap.wps.com/l/cbCait4Ok7Qhz9zy","pdf",699901,12,"English","# Algebraic Notation & Vocabulary\n## Algebraic Notation\n## Worked example\n## Algebraic Vocabulary","[{\"question\":\"What is the difference between arithmetic notation and algebraic notation?\",\"answer\":\"In arithmetic, addition and subtraction use + and −, while in algebra multiplication uses implied notation and division uses fractions. The meaning of symbols depends on whether you are working with numbers or algebraic expressions.\"},{\"question\":\"How do brackets and the order of operations work in algebra?\",\"answer\":\"Brackets take priority, so expressions inside parentheses are worked out first. After that, multiplication outside the brackets is applied, consistent with the usual order of operations.\"},{\"question\":\"What are the differences between an expression, equation, formula, and identity?\",\"answer\":\"An expression has no equals sign and cannot be solved, while an equation has an equals sign and can be solved for missing values. A formula is a rule written using letters that may be rearranged into an equation with more information. An identity uses an identity sign and is true for all values, so it cannot be solved.\"}]","AQA GCSE Maths - Algebra Toolkit - Algebraic Notation & Algebraic Vocabulary | PDF"]