[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-571854-105":53,"doc-detail-571854-en":126},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":119,"head_meta":121,"extra_data":123,"updated_unix":125},105,"en","algebra-cheat-sheet-fast-review-formulas-and-properties","Algebra Cheat Sheet - Fast review formulas and properties","","Algebra Cheat Sheet provides a compact reference for core algebra skills, including PEMDAS order of operations, properties of real numbers (commutative, associative, distributive, zero, identity, inverse), exponent and radical basics, and common factoring methods such as GCF, product/sum, difference of two squares, and the quadratic formula. It also summarizes line, slope, quadratic, and exponential functions, central tendency measures, sequence formulas, transformations of parabolas, and essential area and perimeter formulas plus quick mnemonic tips.",{"@graph":63,"@context":118},[64,80,101],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":46,"@type":70,"position":76},"https://docshare.wps.com/template/paper-templates/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/algebra-cheat-sheet-fast-review-formulas-and-properties/571854/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/algebra-cheat-sheet-fast-review-formulas-and-properties/571854.png","ImageObject",442,249,{"name":88,"@type":89},"Theodore","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-15","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":9},"InteractionCounter",{"@type":100},"ViewAction",{"@type":102,"mainEntity":103},"FAQPage",[104,110,114],{"name":105,"@type":106,"acceptedAnswer":107},"What does PEMDAS stand for in the cheat sheet?","Question",{"text":108,"@type":109},"PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. Follow that order when simplifying expressions.","Answer",{"name":111,"@type":106,"acceptedAnswer":112},"Which properties of real numbers are listed?",{"text":113,"@type":109},"The sheet lists the commutative, associative, and distributive properties, plus zero property, identity property, and inverse relationships.",{"name":115,"@type":106,"acceptedAnswer":116},"How are transformations of a parabola represented?",{"text":117,"@type":109},"It describes transformation rules for functions of the form 􀁔(􀁕) with shifts and scalings, explaining how each change affects the graph (e.g., vertical shifts, horizontal shifts, and reflections).","https://schema.org",{"og:url":78,"og:type":120,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":122,"canonical":78},"index,follow",{"doc_id":124,"site_id":56},571854,1792053575,{"code":4,"msg":5,"data":127},{"doc_id":124,"user_id":128,"nickname":88,"user_avatar":129,"doc_module":9,"category_id":45,"category_name":46,"doc_title":59,"doc_description":61,"doc_content":130,"file_id":131,"file_url":132,"file_type":133,"file_size":134,"view_count":9,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":47,"language":135,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":136,"faqs":137,"seo_title":138,"seo_description":61,"update_tm":139,"read_time":73},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Algebra Cheat Sheet  \nOrder of Operations PEMDAS:  \nP=Parenthesis E= Exponents M= Multiplication D= Division A= Addition S= Subtraction  \nProperties of Real Numbers:  \nCommutative Property: 􀀱 + 􀀲 = 􀀲 + 􀀱  \nAssociative Property: (􀀱 + 􀀲) + 􀀳 = 􀀱 + (􀀲 + 􀀳 ) Distributive Property: 􀀱(􀀲 + 􀀳 ) = 􀀱􀀲 + 􀀱􀀳 Zero Property:  \nIdentity: 􀀱 + 0 = 􀀱  \nInverse: 􀀱 + −􀀱 = 0  \n􀀱􀀲 = 􀀲􀀱  \n(􀀱􀀲)􀀳 = 􀀱 (􀀲􀀳)  \n􀀱 × 0 = 0  \n􀀱 × 1 = 􀀱  \n􀀱 ×  \n!  \n)  \n= 1  \nReal Numbers:  \n\n| Real Numbers:\u003Cbr>… − 2, −√2, 0, \\#! , 1, 􀀷, √3,…\u003Cbr>Rational Numbers:\u003Cbr>…, − ~~ ~~3~~2~~ , −1, − 1~~2~~ , 0, 1~~2~~ , 1, 3~~2~~ ,…\u003Cbr>Integers:\u003Cbr>…, −3, −2, −1, 0, 1, 2, 3,…\u003Cbr>Whole Numbers:\u003Cbr>0, 1, 2, 3,4, 5,… Natural Numbers:\u003Cbr>1, 2, 3,4, 5,… | Irrational Numbers:\u003Cbr>…, −√2, 􀀷, √3,… |\n| --- | --- |\n\n______________________________________________________________________________  \nExponent Rules:  \n􀀡 ! × 􀀡 ! = 􀀡 !\"! = 􀀡 \\#􀀡􀀡!~~!~~​ = 􀀡 !$! = 􀀡 %(􀀡 & )\\# = 􀀡 & ×\\# = 􀀡 (  \n(􀀡􀀦)\\# = 􀀡 \\#􀀦 \\#  \nCombining Like Terms:  \n􀀡 + 􀀡 = 2􀀡 3􀀡 − 􀀡 = 2􀀡  \n3􀀡 \\# + 􀀡 \\# + 5 = 4􀀡 \\# + 5  \n5􀀡 \\# − 2􀀡 \\# + 10􀀡 − 5􀀡 = 3􀀡 \\# + 5􀀡  \n10􀀡 \\# + 4􀀡 − (8􀀡 \\# + 2􀀡 ) =  \n10􀀡 \\# + 4􀀡 − 8􀀡 \\# − 2􀀡 = 2􀀡 \\# + 2􀀡  \n©MathSux. All rights reserved. 1  \nFactoring Methods to Know:  \nGreatest Common Factor (GCF)  \nProduct/Sum  \nQuadratic Formula: 􀀡 = $*±√*\\#)!~~ ~~$-). Completing the Square Difference of Two Squares (DOTS)  \nFunctions and their Equations:  \n\n| Equation of a Line:\u003Cbr>􀀦 = 􀀸􀀡 + 􀀲􀀸 = 􀀹􀀺􀀻􀀼􀀽\u003Cbr>􀀲 = 􀀦 − 􀀾􀀿􀁀􀀽􀁁􀀳􀀽􀀼􀁀 |  |\n| --- | --- |\n| Slope Formula:\u003Cbr>􀀦\\# − 􀀦!\u003Cbr>􀀸 = =􀀡\\# − 􀀡! | 􀁂􀀽􀁁􀁀􀀾􀀳􀀱􀀺 􀀳ℎ􀀱􀀿􀁄􀀽\u003Cbr>ℎ􀀻􀁁􀀾􀁅􀀻􀀿􀁀􀀱􀀺 􀀳ℎ􀀱􀀿􀁄􀀽 |\n\n\n| Quadratic Equation:\u003Cbr>􀀱􀀡\\# + 􀀲􀀡 + 􀀳 = 0\u003Cbr>Vertex Formula: |  |\n| --- | --- |\n| 􀀡 = | −􀀲\u003Cbr>2􀀱 |\n| Quadratic Equation in vertex form:\u003Cbr>􀀦 = 􀀱 (􀀡 − ℎ)\\# + 􀁉 Vertex:(ℎ, 􀁉) |  |\n\nExponential Equation:  \n􀀦 = 􀀱 􀀲 /  \nExponential Growth:  \n􀀲 > 1  \nExponential Decay:  \n0 \u003C 􀀲 \u003C 1  \nFunctions and their Graphs:  \n\n|  | Line\u003Cbr>􀀦 = 􀀡 |  |\n| --- | --- | --- |\n|  | |  |\n\n\n| Quadratic\u003Cbr>\\#\u003Cbr>􀀦 = 􀀡 |  |\n| --- | --- |\n|  |  |\n\n| Exponential\u003Cbr>􀀦 = 2/ |  |  |\n| --- | --- | --- |\n|  |  |  |\n\nMeasures of Central Tendency:  \nMean: Average  \nMedian: Middle (put numbers in order and find middle)  \nMode: “Most”(number that appears the most)  \nQ1 : Quartile 1=Median of first half of data  \nQ2 : Quartile 2=Median of all data  \nQ3 : Quartile 3=Median of second half of data ©MathSux. All rights reserved. 2  \nBox and Whisker Plot:  \n| Geometric Sequence Formula:\u003Cbr>(Use when a sequence is formed by multiplying or dividing a number)\u003Cbr>0 $!\u003Cbr>􀀱0 = 􀀱!􀁁\u003Cbr>􀀱0 = 􀁐􀀽􀁁􀀸 􀁖􀀱􀀺􀁍􀀽\u003Cbr>􀀱! = 􀁒􀀾􀁁􀀹􀁀 􀁐􀀽􀁁􀀸\u003Cbr>􀀿 = 􀁐􀀽􀁁􀀸 􀁗􀁍􀀸􀀲􀀽􀁁\u003Cbr>􀁁 = 􀁑􀀻􀀸􀀸􀀻􀀿 􀁘􀀱􀁀􀀾􀀻\u003Cbr>Compound Interest Formula:\u003Cbr>􀁊 = 􀁋 (1 + 􀁁􀀿)01\u003Cbr>􀁋 = 􀁋􀁁􀀾􀀿􀀳􀀾􀀼􀀺􀀽\u003Cbr>􀁁 = 􀁌􀀿􀁀􀀽􀁁􀀽􀀹􀁀 􀁁􀀱􀁀􀀽\u003Cbr>􀀿 = 􀀿􀁍􀀸􀀲􀀽􀁁 􀀻􀁎 􀀳􀀻􀀸􀀼􀀻􀁍􀀿􀁏􀀾􀀿􀁄􀀹 􀀼􀀽􀁁 􀀦􀀽􀀱􀁁\u003Cbr>􀁀 = 􀁐􀀻􀁀􀀱􀀺 􀀿􀁍􀀸􀀲􀀽􀁁 􀀻􀁎 􀀦􀀽􀀱􀁁􀀹\u003Cbr>Solve for F: 􀁑 = 23 (􀁒 − 32)\u003Cbr>􀁑 = 5 (􀁒 − 32)  9  2  2\u003Cbr>3 3 9~~5~~ 􀁑 = 􀁒 − 32 9\u003Cbr>􀁑 + 32 = 􀁒 5\u003Cbr>| Arithmetic Sequence Formula:\u003Cbr>(Use when a sequence is formed by adding or subtracting a number)\u003Cbr>􀀱0 = 􀀱! + (􀀿 − 1)􀁏\u003Cbr>􀀱0 = 􀁐􀀽􀁁􀀸 􀁖􀀱􀀺􀁍􀀽\u003Cbr>􀀱! = 􀁒􀀾􀁁􀀹􀁀 􀁐􀀽􀁁􀀸\u003Cbr>􀀿 = 􀁐􀀽􀁁􀀸 􀁗􀁍􀀸􀀲􀀽􀁁\u003Cbr>􀁏 = 􀁑􀀻􀀸􀀸􀀻􀀿 􀁙􀀾􀁎􀁎􀀽􀁁􀀽􀀿􀀳􀀽\u003Cbr>Simplifying Radicals:\u003Cbr>√4 = 2\u003Cbr>\u003Cbr>√40 = √4 ∙ 10 = √4√10 = 2√10\u003Cbr>2√18 + √32 = 2√9  ∙ 2  + √16  ∙ 2 = 2√9√2 + √16√2\u003Cbr>= 2 ∙  3√2 + 4√2\u003Cbr>= 6√2 + 4√2 |\n| --- | --- |\n\nTransformations of a Parabola: 􀁔 (􀁕) = 􀁕􀀴 :  \n©MathSux. All rights reserved.  \n3  \n| Function Transformation | What does it do to the graph? | Graph |\n| --- | --- | --- |\n| 􀁜 = 􀁔 (􀁕) + 􀁝 | 􀁑 > 0 􀀸􀀻􀁂􀀽􀀹 􀁍􀀼\u003Cbr>􀁑 \u003C 0 􀀸􀀻􀁂􀀽􀀹 􀁏􀀻􀁞􀀿 | \u003Cbr>􀀡 (􀀣) = 􀀣􀀢 + 􀀧 |\n| 􀁜 = 􀁔 (􀁕 + 􀁝) | 􀁑 > 0 􀀸􀀻􀁂􀀽􀀹 􀀺􀀽􀁎􀁀\u003Cbr>􀁑 \u003C 0 􀀸􀀻􀁂􀀽􀀹 􀁁􀀾􀁄ℎ􀁀 | \u003Cbr>􀀡 (􀀣) = (􀀣􀀢 + 􀀧) |\n| 􀁜 = 􀁝􀁔 (􀁕) | 􀁑 > 1 􀀸􀀻􀁂􀀽􀀹 􀀳􀀺􀀻􀀹􀀽􀁁 􀁀􀀻 􀀦 − 􀀱􀀡􀀾􀀹 0 \u003C 􀁑 \u003C 1 􀀸􀀻􀁂􀀽􀀹 􀁎􀁍􀁁􀁀ℎ􀀽􀁁 􀁎􀁁􀀻􀀸 􀀦 − 􀀱􀀡􀀾􀀹 | \u003Cbr>􀀡 (􀀣) = 􀀧􀀣􀀢 |\n| 􀁜 = −􀁔(􀁕) | 􀁘􀀽􀁎􀀺􀀽􀀳􀁀􀀾􀀻􀀿 􀀾􀀿 􀁀ℎ􀀽 􀀡 − 􀀱􀀡􀀾􀀹 | \u003Cbr>􀀡 (􀀣) = −􀀣􀀢 |\n| 􀁜 = 􀁔 (−􀁕) | 􀁘􀀽􀁎􀀺􀀽􀀳􀁀􀀾􀀻􀀿 􀀾􀀿 􀁀ℎ􀀽 􀀦 − 􀀱􀀡􀀾􀀹 | \u003Cbr>􀀡 (􀀣) = −􀀣􀀢 |\n\n©MathSux. All rights reserved.  \n4  \nArea and Perimeter:  \n\n| Shape |  |  |  | Perimeter | Area |\n| --- | --- | --- | --- | --- | --- |\n| Triangle | 􀀯\u003Cbr>|  |  | 􀁋 = 􀀱 + 􀀲 + 􀀳 | 􀁊 = 1~~2~~ 􀀱􀀲 |\n| Square | | 􀀱 |  | 􀁋 = 4􀀹 | 􀁊","cbCaibYBI4vgxru6","https://ap.wps.com/l/cbCaibYBI4vgxru6","pdf",754292,"English","# Order of Operations (PEMDAS)\n# Properties of Real Numbers\n# Exponent Rules and Combining Like Terms\n# Factoring Methods\n# Functions and Equations\n## Line, Slope, and Quadratic Forms\n## Exponential Models\n# Measures of Central Tendency\n# Sequences, Interest, and Radicals\n# Transformations of a Parabola\n# Area and Perimeter\n## Common Shapes\n# Tips and Tricks","[{\"question\":\"What does PEMDAS stand for in the cheat sheet?\",\"answer\":\"PEMDAS stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. Follow that order when simplifying expressions.\"},{\"question\":\"Which properties of real numbers are listed?\",\"answer\":\"The sheet lists the commutative, associative, and distributive properties, plus zero property, identity property, and inverse relationships.\"},{\"question\":\"How are transformations of a parabola represented?\",\"answer\":\"It describes transformation rules for functions of the form 􀁔(􀁕) with shifts and scalings, explaining how each change affects the graph (e.g., vertical shifts, horizontal shifts, and reflections).\"}]","Algebra Cheat Sheet - Fast review formulas and properties | PDF",1791924088]