[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-143214-105":59,"doc-detail-143214-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","algebra-practice-problems-chapter-1-preliminaries","Algebra - Practice Problems - Chapter 1 Preliminaries","","Algebra – Practice Problems by Paul Dawkins is organized into a structured set of problem-solving topics covering foundational skills and progressively more advanced techniques. It starts with preliminaries such as integer and rational exponents, radicals, polynomials, factoring, rational expressions, and complex numbers. The book then builds toward solving equations and inequalities, including linear, quadratic, radical, and absolute value forms, followed by graphing and functions topics like lines, circles, and function definitions.",{"@graph":69,"@context":123},[70,84,106],{"@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/algebra-practice-problems-chapter-1-preliminaries/143214/",{"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/algebra-practice-problems-chapter-1-preliminaries/143214.png","ImageObject",300,407,{"name":92,"@type":93},"Olivia Brown","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-09-21","2026-08-25",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are included in the preliminaries chapter?","Question",{"text":113,"@type":114},"The preliminaries cover integer and rational exponents, radicals, polynomials, factoring polynomials, rational expressions, and complex numbers.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Which types of equations and inequalities does the book address?",{"text":118,"@type":114},"It includes linear equations, multi-variable equations, quadratic equations (two parts plus a summary), equations reducible to quadratic form, equations with radicals, and linear, polynomial, rational, and absolute value inequalities.",{"name":120,"@type":111,"acceptedAnswer":121},"How does the book transition into graphing and functions?",{"text":122,"@type":114},"After equation and inequality practice, it moves to graphing fundamentals such as lines and circles, then to function definitions, graphing functions, combining functions, and inverse functions.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},143214,1787693702,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":140,"language":141,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":67,"update_tm":130,"read_time":145},16904993612988,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Practice Problems  \nPaul Dawkins  \nAlgebra – Practice Problems i  \nTable of Contents  \nPreface ................................................................................................................................................................. iii  \nOutline.................................................................................................................................................................. iv  \nChapter 1 : Preliminaries ....................................................................................................................................... 1  \nSection 1-1 : Integer Exponents ................................................................................................................................2  \nSection 1-2 : Rational Exponents ...............................................................................................................................3  \nSection 1-3 : Radicals.................................................................................................................................................4  \nSection 1-4 : Polynomials ..........................................................................................................................................6  \nSection 1-5 : Factoring Polynomials ..........................................................................................................................7  \nSection 1-6 : Rational Expressions .............................................................................................................................9  \nSection 1-7 : Complex Numbers ..............................................................................................................................11  \nChapter 2 : Solving Equations and Inequalities .................................................................................................... 12  \nSection 2-1 : Solutions and Solution Sets ................................................................................................................14  \nSection 2-2 : Linear Equations ................................................................................................................................. 15  \nSection 2-3 : Applications of Linear Equations ........................................................................................................16  \nSection 2-4 : Equations With More Than One Variable...........................................................................................17  \nSection 2-5 : Quadratic Equations-Part I ...............................................................................................................18  \nSection 2-6 : Quadratic Equations-Part II ..............................................................................................................20  \nSection 2-7 : Quadratic Equations : A Summary......................................................................................................21  \nSection 2-8 : Applications of Quadratic Equations ..................................................................................................22  \nSection 2-9 : Equations Reducible to Quadratic in Form.........................................................................................23  \nSection 2-10 : Equations with Radicals ....................................................................................................................24  \nSection 2-11 : Linear Inequalities ............................................................................................................................25  \nSection 2-12 : Polynomial Inequalities ....................................................................................................................26  \nSection 2-13 : Rational Inequalities .........................................................................................................................27  \nSection 2-14 : Absolute Value Equations .......","cbCaigGWaa3TQOEA","https://ap.wps.com/l/cbCaigGWaa3TQOEA","pdf",1406808,75,"English","# Preface\n# Outline\n# Chapter 1 : Preliminaries\n## Section 1-1 : Integer Exponents\n## Section 1-2 : Rational Exponents\n## Section 1-3 : Radicals\n## Section 1-4 : Polynomials\n## Section 1-5 : Factoring Polynomials\n## Section 1-6 : Rational Expressions\n## Section 1-7 : Complex Numbers\n# Chapter 2 : Solving Equations and Inequalities\n## Section 2-1 : Solutions and Solution Sets\n## Section 2-2 : Linear Equations\n## Section 2-3 : Applications of Linear Equations\n## Section 2-4 : Equations With More Than One Variable\n## Section 2-5 : Quadratic Equations-Part I\n## Section 2-6 : Quadratic Equations-Part II\n## Section 2-7 : Quadratic Equations : A Summary\n## Section 2-8 : Applications of Quadratic Equations\n## Section 2-9 : Equations Reducible to Quadratic in Form\n## Section 2-10 : Equations with Radicals\n## Section 2-11 : Linear Inequalities\n## Section 2-12 : Polynomial Inequalities\n## Section 2-13 : Rational Inequalities\n## Section 2-14 : Absolute Value Equations\n## Section 2-15 : Absolute Value Inequalities\n# Chapter 3 : Graphing and Functions\n## Section 3-1 : Graphing\n## Section 3-2 : Lines\n## Section 3-3 : Circles\n## Section 3-4 : The Definition of a Function\n## Section 3-5 : Graphing Functions\n## Section 3-6 : Combining Functions\n## Section 3-7 : Inverse Functions\n# Chapter 4 : Common Graphs\n## Section 4-1 : Lines, Circles and Piecewise Functions\n## Section 4-2 : Parabolas","[{\"question\":\"What topics are included in the preliminaries chapter?\",\"answer\":\"The preliminaries cover integer and rational exponents, radicals, polynomials, factoring polynomials, rational expressions, and complex numbers.\"},{\"question\":\"Which types of equations and inequalities does the book address?\",\"answer\":\"It includes linear equations, multi-variable equations, quadratic equations (two parts plus a summary), equations reducible to quadratic form, equations with radicals, and linear, polynomial, rational, and absolute value inequalities.\"},{\"question\":\"How does the book transition into graphing and functions?\",\"answer\":\"After equation and inequality practice, it moves to graphing fundamentals such as lines and circles, then to function definitions, graphing functions, combining functions, and inverse functions.\"}]","Algebra - Practice Problems - Chapter 1 Preliminaries | PDF",189]