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It emphasizes skills like factors, primes, proportions, percents, exponents, and absolute value.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are least common multiple (LCM) and greatest common factor (GCF) determined in the guide?",{"text":68,"@type":64},"LCM and GCF are found by using prime factorization. Shared prime factors produce the GCF, while the full combined prime factors produce the LCM.",{"name":70,"@type":61,"acceptedAnswer":71},"How does the review suggest solving percent problems?",{"text":72,"@type":64},"It recommends converting percents to fractions over 100 or decimals, then using cross-multiplication or an equation. For percent change, it uses the percent increase/decrease formula and applies it to the original and new prices.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},267813,1789425409,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":108,"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":80,"read_time":143},2336475104736,"https://ap-avatar.wpscdn.com/avatar/22000c4c5e0e5b17e70?x-image-process=image/resize,m_fixed,w_180,h_180&k=1786591360781797222","SAT MATH REVIEW  \n\n| The concepts covered on the SAT math sections include arithmetic and number theory, algebra and functions, geometry, and data analysis. You will not need to know matrices, logarithms, formal trigonometry, radians, standard deviation, or calculus. |  |\n| --- | --- |\n| I. Numbers and Arithmetic\u003Cbr>􀁸 Properties of integers\u003Cbr>􀁸 Factors and multiples\u003Cbr>􀁸 Fractions, ratios and proportions\u003Cbr>􀁸 Percents | 􀁸 Exponents\u003Cbr>􀁸 Absolute value\u003Cbr>􀁸 Sets and sequences |\n\nIntegers are whole numbers, negative and positive. Zero is an integer, but is neither positive nor negative. Rational numbers are numbers that can be expressed as fractions. Real numbers include integers, rational numbers, and irrational numbers such as π, e, and 2.  \nConsecutive integers are integers in a sequence, each being 1 more than the previous integer:  \n􀝊 , 􀝊 + 1 , 􀝊 + 2 …  \n􀁸 If the sum of three consecutive integers is greater than 84, what is the smallest possible value of the first integer?  \n􀝊 + (􀝊 + 1) + (􀝊 + 2) > 84  \n3􀝊 + 3 > 84  \n􀝊 > 27  \nThe smallest possible value of n is 28.  \nThe sum of the consecutive integers from 1 to an integer n is equal to  \n(n + 1) × 􀝊 2  \n􀁸 Take the set of consecutive integers from 1 to 30. The sum of the first and last integers is  \n1 + 30 = 31, the sum of the second and second from last integers is 2 + 29 = 31, and the sum of the third and third from last integers is 3 + 28 = 31. There will be 30/2 pairs of integers that each add to 31, so the total sum will be 31 × 30/2 = 465.  \nAdding or multiplying even or odd integers will result in a sum or product that is predictably even or odd:  \n􀁸 even + even = even 􀁸 even ⨯ even = even  \n􀁸 odd + odd = even 􀁸 odd ⨯ odd = odd  \n􀁸 odd + even = odd 􀁸 odd ⨯ even = even  \nAn integer can be divided into a limited set of factors; there are an infinite number of multiples that can be divided by a specific integer. An integer with only 2 factors (itself and 1) is a prime number. 1 is not a prime number, but 2 is.  \nThe least common multiple of two integers is the smallest positive integer that is a multiple of both integers. The greatest common factor of two integers is the largest integer that is a factor of both integers. You can determine both of these by finding the prime factors of each integer.  \n􀁸 What is the difference between the least common multiple and the greatest common factor of 100 and 80?  \nPrime factors of 100: 2 ⨯ 2 ⨯ 5 ⨯ 5  \nPrime factors of 80: 2 ⨯ 2 ⨯ 2 ⨯ 2 ⨯ 5  \n100 and 80 share two 2s and one 5. Multiplying these prime factors together gives us their greatest common factor: 2 ⨯ 2 ⨯ 5 = 20.  \nIn total, four 2s and two 5s appear in these prime factorizations, excluding repeats. Multiplying these prime factors together gives us their least common multiple: 2 × 2 × 2 × 2 × 5 × 5 = 400.  \nThe difference between the LCM and the GCF is 400 – 20 = 380.  \nA fraction generally expresses a part/whole relationship between two quantities. A ratio generally expresses a part/part relationship among two or more quantities.  \n􀁸 If the ratio of boys to girls in the class is 12 to 17 = 12:17 = 1217, then the fraction of boys in the entire class is 12117 = 1229 .  \n􀁸 If the ratio of green to blue to red marbles in the jar is 5:4:3, then the fraction of green marbles in the jar is 5+54+3 = 512 .  \nA proportion is an equation where two ratios are set equal to each other. Solve proportions by cross-multiplying.  \nIf  \n􀜽 􀜿  \n~~ ~~ = ~~ ~~  \n􀜾 􀝀 ,  \nthen 􀜽􀝀 = 􀜾􀜿 .  \n􀁸 A train has travelled 40 miles in the past 45 minutes. If the train is moving at a constant speed, what distance will it have travelled after 4 hours?  \nConvert to the same units: 45 minutes = 0.75 hours.  \nSet up a proportion:  \n40 miles 􀝔 miles ~~ ~~ = ~~ ~~  \n0.75 hours 4 hours  \nCross-multiply and solve: 40 × 4 = 0. 75􀝔  \n0. 75􀝔 = 160  \n􀝔 = 213 13 miles  \nA percent can be represented as a fraction whose denominator is 100 or as a decimal: 75% = 75/100 = 0.75. Solve a percent problem by converting the perc","cbCainPsnZYTrgZN","https://ap.wps.com/l/cbCainPsnZYTrgZN","pdf",1780033,"English","# Numbers and Arithmetic\n## Integers and number properties\n## Factors, multiples, primes\n## Fractions, ratios, proportions, percents\n# Algebra and Functions\n## Exponents rules\n## Absolute value and solving equations","[{\"question\":\"What math topics are covered in the SAT math review?\",\"answer\":\"The review covers arithmetic and number theory, algebra and functions, geometry, and data analysis. It emphasizes skills like factors, primes, proportions, percents, exponents, and absolute value.\"},{\"question\":\"How are least common multiple (LCM) and greatest common factor (GCF) determined in the guide?\",\"answer\":\"LCM and GCF are found by using prime factorization. Shared prime factors produce the GCF, while the full combined prime factors produce the LCM.\"},{\"question\":\"How does the review suggest solving percent problems?\",\"answer\":\"It recommends converting percents to fractions over 100 or decimals, then using cross-multiplication or an equation. For percent change, it uses the percent increase/decrease formula and applies it to the original and new prices.\"}]","SAT Math Review - Study Guide | PDF",101]