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The guide also covers data analysis and probability, core geometry on angles, similar and right triangles, circle equations, inequalities, basic trigonometry, and an overview of complex numbers and operations.",{"@graph":14,"@context":65},[15,34,56],{"@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/sat-math-topics-core-skills-for-key-functions-and-geometry/266929/",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/sat-math-topics-core-skills-for-key-functions-and-geometry/266929.png","ImageObject",300,407,{"name":42,"@type":43},"Paura","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-14",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",17,{"@type":57,"mainEntity":58},"FAQPage",[59],{"name":60,"@type":61,"acceptedAnswer":62},"How should you approach systems of equations on SAT Math?","Question",{"text":63,"@type":64},"The guide’s goal is to eliminate a variable. Use add/subtract (possibly with multiplication) for elimination, or use substitution to replace one variable with an expression.","Answer","https://schema.org",{"og:url":32,"og:type":67,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":69,"canonical":32},"index,follow",{"doc_id":71,"site_id":7},266929,1789412916,{"code":4,"msg":74,"data":75},"success",[76,80,84,87,92,97,102,107,112,115,119],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":77,"show_sort_weight":78,"slug":79},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":81,"show_sort_weight":82,"slug":83},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":85,"slug":86},70,"exam",{"id":88,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},5,"Comic",60,"comic",{"id":93,"doc_module":4,"doc_module_name":25,"category_name":94,"show_sort_weight":95,"slug":96},6,"Technology",50,"technology",{"id":98,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},7,"Healthcare",40,"healthcare",{"id":103,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},8,"Research & Report",30,"research-report",{"id":108,"doc_module":4,"doc_module_name":25,"category_name":109,"show_sort_weight":110,"slug":111},9,"Religion & Spirituality",20,"religion-spirituality",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":113,"show_sort_weight":110,"slug":114},"World Cup","world-cup",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":116,"slug":118},10,"Lifestyle","lifestyle",{"id":120,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":88,"slug":122},19,"General","general",{"code":4,"msg":74,"data":124},{"doc_id":71,"user_id":125,"nickname":42,"user_avatar":126,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":127,"file_id":128,"file_url":129,"file_type":130,"file_size":131,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":132,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":133,"faqs":134,"seo_title":135,"seo_description":12,"update_tm":72,"read_time":88},13056712833777,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","SAT Math Topics  \nRatios, Proportions, Percentages  \n• Relationships between units →ratios; multiple ratios →proportions  \n• Units are key – they give clues as to how to set up ratios and proportions  \n• Part/whole = part/whole, or just interpret the words (e.g.,“20% of a number is 4”→0 .2x = 4) .  \n• Percent change = 100* (final – original)/original; remember the discounted shirt problem General Functions  \n• Function substitution – plug in an x value to get an output y value  \n• Factoring – common factor first, difference of squares, general quadratic Polynomial Functions  \n• The following are equivalent: factors, x-intercepts, zeros/solutions/roots – if you know one, you know them all  \n• Polynomial operations (add, subtract, mult, div)  \nLinear Functions  \n• General equation: y = mx + b; interpret m and b; m = slope = rise/run = average rate of change  \n• Line plot and line of best fit interpretation  \n• “Point lies on line”,“Line passes through point”: plug in the (x,y) coordinate(s)  \n• Number of intersections: 0 → parallel lines, 1 → crossing lines, infinite → the same lines Quadratic Functions  \n• Intercept form (factored form) →vertex x-coordinate is in the middle of the two intercepts; substitute to get the y-coordinate  \n• Vertex form: get the vertex form from the intercept form  \n• Solve quadratic equations by setting = 0 and factoring  \nExponential Functions  \n• Standard forms: y = a(b)x = a(1 + r)x , where b = base, a = initial value, r = rate of change  \n• Exponent rules:  \n• 22 * 23 = 22+3  \n• 25 / 22 = 25-2  \n• (22)3 = 22*3  \n• 3½ = √3  \nRational Functions  \n• Apply standard fraction techniques: least common denominator for add/subtract  \n• Simplifying rational functions by factoring and canceling like terms  \n• A rational function is a division problem: any value of x that makes the bottom 0 is not allowed Radical Functions  \n• Simplifying: √18 = √9 ∗ 2  = √9√2 = 3√2  \n• Simplifying: 2 = 2 22 = 2    \n• Simplifying: √21−~~ ~~1 = √21−~~ ~~1 2211 = √21+1 (difference of squares technique)  \nSystems of Equations  \n• Goal: to eliminate a variable  \n• Techniques: add/subtract (maybe with multiplication), substitution  \nData Analysis and Probability  \n• Mean, median, mode – based on a list of data values  \n• Mean, median, mode – based on a frequency table  \n• Probability = (\\# of items of interest)/(total \\# of items)  \n• Probabilities from two-way table  \nGeometry  \n• Many topics, but focus on intersecting lines (angles), triangle angles, parallel line angles  \n• Similar triangles have proportional sides  \n• Right triangles (perhaps with SOHCAHTOA or Pythagorean)  \n• The (small central angle/total angle) is proportional to (small arc length/total arc length) and to (small sector area/total sector area)  \n• Circle equation: x2 + y2 = r2, with shifts left/right/up/down to change the center from the origin Inequalities  \n• Algebraic operations (add/subtract/mult/div) work the same as with equations with two exceptions:  \nmultiplication or division by a negative causes the inequality to switch  \n• Plugging in test values is a great approach Basic Trig  \n• 2π radians = 1 revolution of a circle = 360⁰  \n• SOHCAHTOA, Pythagorean for right triangles  \nComplex Numbers  \n• Complex numbers are of the form x + iy and can be graphed as a coordinate (x,y)  \n• The modulus |x + iy| = √􀝔 2 + 􀝕 2 (the distance of the coordinate from the origin via Pythag thm)  \n• i = √−1, so i2 = –1  \n• Complex number operations (add, subtract, mult) work just polynomials  \n• Division problems work just like radical divisions discussed above: 1􀯜 = 1􀯜 ∙ 11􀯜􀯜 = 1+2􀯜~~ ~~ (difference of squares technique)  \nGeneral Techniques  \n• Assume problems are “easy” rather than “hard” – they usually are  \n• The SAT makes problems “hard” by requiring multiple steps to solve; so, look for words that delineate“steps”  \n• You have a technique if you get stuck:  \n• find what they want (write a target expression if possible)  \n• look at the kinds of things they are tal","cbCaiqrcm6LsCOPy","https://ap.wps.com/l/cbCaiqrcm6LsCOPy","pdf",180405,"English","# Ratios, Proportions, Percentages\n# General Functions\n# Polynomial Functions\n# Linear Functions\n# Quadratic Functions\n# Exponential Functions\n# Rational Functions\n# Radical Functions\n# Systems of Equations\n# Data Analysis and Probability\n# Geometry\n# Inequalities\n# Basic Trig\n# Complex Numbers\n# General Techniques","[{\"question\":\"How should you approach systems of equations on SAT Math?\",\"answer\":\"The guide’s goal is to eliminate a variable. Use add/subtract (possibly with multiplication) for elimination, or use substitution to replace one variable with an expression.\"}]","SAT Math Topics - core skills for key functions and geometry | PDF"]