[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-266550-105":59,"doc-detail-266550-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","formula-sheet-companion-for-psat-top-ten-formulas","Formula Sheet Companion for PSAT - Top Ten Formulas","","Formula Sheet Companion for PSAT presents the ten most important math formulas to prioritize when studying for PSAT math. It explains key relationships such as slope-intercept form, exponent rules, percent increase/decrease, absolute-percent change, average/mean, and distance-rate-time, then applies each formula through PSAT-style example problems. Students can use the examples to practice and verify answers with the provided answer key, building confidence for test questions mixed across math topics.",{"@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/formula-sheet-companion-for-psat-top-ten-formulas/266550/",{"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/formula-sheet-companion-for-psat-top-ten-formulas/266550.png","ImageObject",300,407,{"name":92,"@type":93},"Skyler","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-09-20","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":14},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the purpose of this formula sheet for PSAT math?","Question",{"text":112,"@type":113},"It lists the ten most important formulas students should learn first and shows how they appear in PSAT-style example problems. The examples are meant to help you practice and check answers with the key at the end.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Which formula is highlighted first, and how is it described?",{"text":117,"@type":113},"The first highlight focuses on the slope-intercept formula (listed as #1). It is presented as a commonly required formula, and the document explains multiple ways it can appear in test questions.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the document handle percent-related problems?",{"text":121,"@type":113},"It provides formulas for increasing or decreasing a value by a percent, using expressions like (r + 1) and (1 - r) forms. It also includes a percent change approach for finding percent change from starting and ending values.","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},266550,1789408845,{"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":14,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":24,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":143},2336464648746,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Top Ten Formulas you need for the PSAT Example problems included!  \nBackground  \nThe PSAT is not like a most of the tests you’ve had in school. It covers material from years’ worth of math classes, and questions from different areas of math are all mixed together. At Test Prep for Success, we’ve looked through dozens of past SAT and PSAT tests and compiled a list of all the formulas you will need to know. Check out our Ultimate Formula Sheet for the entire list.  \nHowever, if you’re just starting to study, you need to prioritize. The formulas on this sheet are the 10 most important things you need to learn for PSAT math RIGHT NOW. Test out your skills with the examples, and check your answers using the key on the last page. You got this!  \n\\#1 􀢟 = 􀢓􀢞 + 􀢈  \nWe counted! Almost 17% of SAT questions require you to be familiar with the slope-intercept formula, easily boosting it to the number one position. Here are three different ways you will see it on the test:  \nExample 1A) A contracting company purchased construction equipment valued at $630,000 . The value of the equipment depreciates by the same amount each year, so that after 10 years the value will be $130,000 . Which of the following equations gives the value, y, of the equipment x years after it was purchased for the time period 0 ≤ 􀝔 ≤ 10 ?  \nA) 􀝕 = 130000 + 50000􀝔  \nB) 􀝕 = 130000 − 50000􀝔  \nC) 􀝕 = 630000 + 50000􀝔  \nD) 􀝕 = 630000 − 50000􀝔  \nExample 1B) A model for the speed of sound in air is 􀝒 = 331 + 0. 6􀜶 where v is the speed of sound in meters per second and T is the air temperature in °C. Given this model, what does the number 0.6 represent?  \nA. The speed of sound at an air temperature of 0°C.  \nB. The speed of sound at an air temperature of 331°C.  \nC. The increase in the speed of sound for each increase of 1°C in air temperature.  \nD. The increase in the speed of sound for each increase of 0.6°C in air temperature.  \n\\#2 􀢓 = 􀢟􀢞􀫛􀫛~~ ~~−􀢟􀢞􀫚􀫚  \nThis is the slope formula, which is also known as“rise over run.”  \nExample 2A) In the xy-plane, line k passes through the points (0,3) and (6,0) . Which of the following isan equation of line k?  \nA) 􀝕 = −2􀝔 + 3  \n1  \nB) 􀝕 = −  􀝔 + 3  \n2  \n1  \nC) 􀝕 =  􀝔 − 3  \n2  \nD) 􀝕 = 2􀝔 − 3  \nExample 2B) At a certain dairy farm milk production increased from 450 thousand gallons in 2000 to 3.6 million gallons in 2010. Which of the following linear functions f best models the production, in thousands of gallons, t years after 2000?  \nA) 􀝂 (􀝐) = 9􀝐 + 450  \nB) 􀝂 (􀝐) = 315􀝐 + 450  \nC) 􀝂 (􀝐) = −9􀝐 + 450  \nD) 􀝂(􀝐) = −315􀝐 + 450  \nExample 2C) The line graphed in the xy-plane below models the cost of a ball bearing with respect to the quantity of ball bearings ordered.  \nAccording to the graph, by how many dollars is the cost of a ball bearing reduced for each additional ball bearing ordered?  \nA) 0.025  \nB) 0.25  \nC) 4  \nD) 6.25  \n\\#3 􀡱􀢞􀢖􀢕􀢔􀢋􀢔􀢚 􀡾􀢛􀢒􀢋􀢙  \nTo get a top score on the PSAT, you will need to know these three exponent rules like the back of your hand. Sometimes you will use all three in the same question.  \nMultiplication Rule for Exponents: ab ⋅ac = ab+c  \nb  \na b−c  \nDivision Rule for Exponents: ~~ ~~c~~ ~~ = a  \na  \nPower Rule for Exponents: ( ab )c = abc  \nExample 3) If 􀵫􀯫􀳌􀯫􀳍􀳍􀵯~~ ~~2 = 􀝔 −􀯔 for all nonzero values of a and b, what is b in terms of a?  \nA) 􀜾 = −􀜽  \nB) 􀜾 = 􀜽2  \nC) 􀜾 = 3􀜽  \nD) 􀜾 = − 􀯔2  \n\\#4 (􀫚 + 􀢘) and (􀫚 − 􀢘)  \nThe r value is the percent in decimal form. Use the formula (􀫚 + 􀢘) whenever you want to increase a value by a percent, such as multiplying by 1.15 when you are leaving a 15% tip. Use (􀫚 − 􀢘) whenever you want to decrease a value by a percent, like multiplying by 0.75 when an item is on sale for 25% off.  \nExample 4A) Kathie bought a teapot at a kitchen supply store that gave a 25% discount off the original price. The total amount she paid was t dollars, including a 6% sales tax on the discounted price. Which of the following represents the original price of the teapot in terms of t?  \nA) 0.81􀝐  \nB) 0.􀯧81  \nC) (","cbCaiuhCRlYgzUF1","https://ap.wps.com/l/cbCaiuhCRlYgzUF1","pdf",425141,"English","# Background\n## Top Ten Formulas for PSAT Math\n# Formula Sets and Examples\n## #1 Slope-Intercept\n## #2 Rise Over Run\n## #3 Exponent Rules\n## #4 Percent Increase/Decrease\n## #5 Percent Change\n## #6 Average/Mean\n## #7 Distance = Rate × Time\n## #8 Probability from Tables","[{\"question\":\"What is the purpose of this formula sheet for PSAT math?\",\"answer\":\"It lists the ten most important formulas students should learn first and shows how they appear in PSAT-style example problems. The examples are meant to help you practice and check answers with the key at the end.\"},{\"question\":\"Which formula is highlighted first, and how is it described?\",\"answer\":\"The first highlight focuses on the slope-intercept formula (listed as #1). It is presented as a commonly required formula, and the document explains multiple ways it can appear in test questions.\"},{\"question\":\"How does the document handle percent-related problems?\",\"answer\":\"It provides formulas for increasing or decreasing a value by a percent, using expressions like (r + 1) and (1 - r) forms. It also includes a percent change approach for finding percent change from starting and ending values.\"}]","Formula Sheet Companion for PSAT - Top Ten Formulas | PDF",13]