[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-485001-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-485001-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","reference-sheet-for-algebra-i-ngls","Reference Sheet for Algebra I - NGLS","","This comprehensive reference sheet provides essential mathematical formulas and conversion factors for Algebra I based on the Next Generation Learning Standards (NGLS). The document is structured into clear sections, including unit conversions between imperial and metric measurement systems, and foundational algebraic equations. It covers quadratic equations, slope calculations, linear equations in slope-intercept and point-slope forms, exponential equations, and compound interest formulas. Furthermore, it details sequences—specifically arithmetic and geometric sequences—and provides statistical tools for data analysis, such as calculating the Interquartile Range (IQR) and identifying statistical outliers using boundary formulas. Designed as a quick-reference guide, it serves as an indispensable aid for students and educators engaging in algebraic problem-solving, mathematical modeling, and data interpretation tasks. The clarity of the presented formulas ensures students can quickly recall and apply these standard mathematical principles in various academic contexts.",{"@graph":14,"@context":72},[15,34,55],{"@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/reference-sheet-for-algebra-i-ngls/485001/",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/reference-sheet-for-algebra-i-ngls/485001.png","ImageObject",300,407,{"name":42,"@type":43},"404brain","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-07","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What formula is used for the axis of symmetry in a quadratic equation?","Question",{"text":62,"@type":63},"The equation for the axis of symmetry is x = -b / 2a.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do you calculate the interquartile range (IQR)?",{"text":67,"@type":63},"The interquartile range is calculated by subtracting the first quartile from the third quartile (IQR = Q3 - Q1).",{"name":69,"@type":60,"acceptedAnswer":70},"What is the formula for calculating annual compound interest?",{"text":71,"@type":63},"The annual compound interest formula is A = P(1 + r)^n.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},485001,1793105726,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":30,"preview_page_count":4},1099529839291,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Reference Sheet for Algebra I (NGLS)  \nConversions  \n1 mile = 5280 feet  \n1 mile = 1760 yards  \n1 pound = 16 ounces  \n1 ton = 2000 pounds  \n\n| Quadratic\u003Cbr>Equation | y = ax 2 + bx + c |\n| --- | --- |\n| Quadratic\u003Cbr>Formula | −b ± b2 − 4ac x = ~~ ~~\u003Cbr>2a |\n| Equation of the Axis of Symmetry | bx = − ~~ ~~\u003Cbr>2a |\n| Slope | y2 − y1 m =\u003Cbr>x2 − x1 |\n| Linear Equation Slope Intercept | y = mx + b |\n| Linear Equation Point Slope | y − y1 = m ( x − x1 ) |\n\nConversions Across Measurement Systems  \n1 inch = 2.54 centimeters  \n1 meter = 39.37 inches  \n1 mile = 1.609 kilometers  \n1 kilometer = 0.6214 mile  \n1 pound = 0.454 kilogram  \n1 kilogram = 2.2 pounds  \n\n| Exponential Equation | y = abx |\n| --- | --- |\n| Annual Compound Interest | A = P ( 1 + r)n |\n| Arithmetic\u003Cbr>Sequence | an = a1 + d ( n − 1) |\n| Geometric\u003Cbr>Sequence | n-1 an = a1r |\n| Interquartile Range (IQR) | IQR = Q3 − Q1 |\n| Outlier | Lower Outlier Boundary = Q1 − 1.5 ( IQR ) |\n|  | Upper Outlier Boundary = Q3 + 1.5 ( IQR ) |","cbCailznoaxa3sT1","https://ap.wps.com/l/cbCailznoaxa3sT1","pdf",90567,"English","# Conversions and Measurement\n## Imperial Conversions\n## Metric Conversions\n# Algebraic Equations\n## Quadratic and Linear Equations\n## Exponential and Sequences\n# Statistical Formulas\n## IQR and Outliers","[{\"question\":\"What formula is used for the axis of symmetry in a quadratic equation?\",\"answer\":\"The equation for the axis of symmetry is x = -b / 2a.\"},{\"question\":\"How do you calculate the interquartile range (IQR)?\",\"answer\":\"The interquartile range is calculated by subtracting the first quartile from the third quartile (IQR = Q3 - Q1).\"},{\"question\":\"What is the formula for calculating annual compound interest?\",\"answer\":\"The annual compound interest formula is A = P(1 + r)^n.\"}]","Reference Sheet for Algebra I - NGLS | PDF",1790803465]