[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-266546-105":3,"doc-detail-266546-en":81,"detail-sidebar-cat-0-en-105":95},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","the-simple-digital-sat-math-cheat-sheet-quick-reference-practice","The Simple Digital SAT Math Cheat Sheet - quick reference - practice","","Concise, high-yield reference for mastering core Digital SAT Math topics. Covers linear equations and inequalities, systems, slope forms, and absolute value; rational expressions and equations with emphasis on domain restrictions and extraneous solutions; linear functions, graphs, slope interpretation, intercepts, and model-fit concepts; plus ratios, percents, statistics, probability, and two-way tables. Includes advanced math essentials for quadratics/polynomials (forms, vertex, discriminant, factoring, roots) and key geometry/trigonometry formulas, with problem-solving and solution-check reminders.",{"@graph":14,"@context":73},[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/the-simple-digital-sat-math-cheat-sheet-quick-reference-practice/266546/",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/the-simple-digital-sat-math-cheat-sheet-quick-reference-practice/266546.png","ImageObject",300,407,{"name":42,"@type":43},"River Wang","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",18,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you find slope and intercepts on SAT linear graphs?","Question",{"text":63,"@type":64},"Use slope-intercept form y=mx+b, where m is slope and b is the y-intercept. For the x-intercept, set y=0 and solve for x; for two points, compute slope then plug into y=mx+b to get b.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the main mistake to avoid when solving rational equations?",{"text":68,"@type":64},"Avoid accepting extraneous solutions. Multiply by the LCD to solve, then plug solutions back into the original equation to verify denominators are not zero.",{"name":70,"@type":61,"acceptedAnswer":71},"How do you determine how many real roots a quadratic has?",{"text":72,"@type":64},"Use the discriminant b^2-4ac. If it is greater than 0 there are 2 real roots; equal to 0 there is 1 repeated root; less than 0 there are 0 real roots (complex roots).","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},266546,1789408838,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":22,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":80,"read_time":30},1099514067438,"https://ap-avatar.wpscdn.com/avatar/100002539ee87300030?x-image-process=image/resize,m_fixed,w_180,h_180&k=1780474512215547542","[The Simple Digital SAT Math Cheat Sheet](The Simple Digital SAT Math Cheat Sheet www.albert.io)[ www.albert.io](The Simple Digital SAT Math Cheat Sheet www.albert.io)  \n\n| Linear Equations & Inequalities (35%) |\n| --- |\n| Slope-Intercept & Standard Form |\n| y = mx + b: m = slope (rise/run), b = y-intercept. Graph: plot b, use m for 2nd pt.\u003Cbr>Standard form: Ax + By = C. Slope = −A/B. x-int = C/A, y-int = C/B.\u003Cbr>Slope formula: m = (y₂ − y₁)/(x₂ − x₁) . Undefined when x₁ = x₂ (vertical line) .\u003Cbr>Parallel lines: same slope, diff y-int. Perpendicular: neg. reciprocals (m₁·m₂ = −1) .\u003Cbr>Point-slope form: y − y₁ = m(x − x₁) . Use when given slope + 1 point.\u003Cbr>Systems of Equations |\n| \\# Solutions Condition Graph |\n| One Diff. slopes Lines cross |\n| None Same slope, diff b Parallel |\n| Infinite Same line Overlap |\n| Substitution: isolate 1 var → plug into other. Elimination: match coeffs → add/subtract.\u003Cbr>Inequalities & Absolute Value |\n| Flip sign when ×/÷ by neg. |x| \u003C a → −a \u003C x \u003C a. |x| > a → x \u003C −a or x > a.\u003Cbr>Compound: \"and\" = intersection, \"or\" = union. Graph on \\# line to visualize.\u003Cbr>System of inequalities: graph each → solution = shaded overlap. Test a point. |\n| ⚠ \"At most\" = ≤, \"at least\" = ≥, \"fewer than\" = \u003C,\"more than\" = > . Read carefully. |\n| ✓ For no-solution systems: set slopes equal & showy-ints differ. Faster than full solve. |\n\n\n| Rational Expressions & Equations |\n| --- |\n| Simplifying & Operations |\n| Factor num. & denom. → cancel common factors only. Never cancel terms (only factors ×, not +) . Domain restrictions: denom ≠ 0. Set each denom factor = 0 → exclude those x-vals.\u003Cbr>Multiply: (a/b)(c/d) = ac/bd. Divide: (a/b)÷(c/d) = (a/b)(d/c) . Factor first, cancel.\u003Cbr>Same denom: (a/c) ± (b/c) = (a±b)/c. Diff. denom: find LCD → rewrite each → combine.\u003Cbr>Complex fractions: multiply num. & denom by LCD of all inner fractions → simplify in 1 step.\u003Cbr>Solving Rational Equations |\n| Multiply both sides by LCD → clears all fractions → solve resulting polynomial.\u003Cbr>Extraneous solution: \"solution\" that makes original denom = 0. Plug back to verify always.\u003Cbr>Work & Rate Problems |\n| Rate = 1/time. Combined rate: 1/A + 1/B = 1/T. Two workers: T = AB/(A+B) .\u003Cbr>Distance/rate/time: d = rt. Two travelers: set up table w/ d, r, t; use shared qty for eq.\u003Cbr>Mixture problems: amt₁·conc₁ + amt₂·conc₂ = total. Cross-multiply for simple single-fraction eqs. |\n| \u003Cbr>⚠ ALWAYS check solutions in ORIGINAL —extraneous = \\#1 trap on rational Qs.\u003Cbr>\u003Cbr>✓ If 1-var fraction = constant, cross-multiply directly (faster than LCD) . |\n\n\n| Linear Functions & Graphs |\n| --- |\n| Interpreting Models |\n| Slope = rate of change. In context: \"per [x-unit],[y] changes by m [units] .\"\u003Cbr>y-intercept = initial value at x = 0. x-intercept: set y = 0 → solve for x.\u003Cbr>Two points given → find slope m → plug point into y = mx + b → solve for b.\u003Cbr>Fixed + variable pattern: y = (rate)(x) + (start) . E.g. ,$50 fee + $12/hr → y = 12x + 50.\u003Cbr>Table of values → check if Δy/Δx is constant. If constant → linear; write eq. from any row.\u003Cbr>Domain, Range & Constraints |\n| Real-world constraints: x ≥ 0, y ≥ 0 (can't be negative) . Domain/range match the context.\u003Cbr>Discrete vs. continuous: \\# of people = integers only. Time, distance = continuous.\u003Cbr>Scatterplots & Model Fit |\n| Line of best fit: trend line. Use to predict. Interpolate inside (reliable), extrapolate outside (risky) .\u003Cbr>Residual = actual − predicted. Pos. residual → model underestimates. Neg. → overestimates.\u003Cbr>Residual plot: if curved pattern → linear model wrong. Try quadratic or exponential.\u003Cbr>Correlation r: −1 ≤ r ≤ 1. Closer to ±1 → stronger. r = 0 → no linear trend. r ≠ causation. |\n| \u003Cbr>✓ Answer in context w/ units: \"per [x-unit],[y] changes by [m][y-units] .\"\u003Cbr>⚠ Correlation ≠ causation. Even r = 0.99 doesn't prove X causes Y. |\n| Problem-Solving & Data Analysis (15%) |\n| Ratios & Percents |\n| Ratio a:b means a/(a+b) of total is a. Proportion: a/b = c/d → cross-multiply: ad = bc.\u003Cb","cbCaiv7uGSoUGpdh","https://ap.wps.com/l/cbCaiv7uGSoUGpdh","pdf",166181,"English","# Linear Equations & Inequalities\n## Rational Expressions & Equations\n## Linear Functions & Graphs\n## Problem-Solving & Data Analysis\n## Quadratics & Polynomials (Advanced Math)\n## Geometry & Trigonometry","[{\"question\":\"How do you find slope and intercepts on SAT linear graphs?\",\"answer\":\"Use slope-intercept form y=mx+b, where m is slope and b is the y-intercept. For the x-intercept, set y=0 and solve for x; for two points, compute slope then plug into y=mx+b to get b.\"},{\"question\":\"What is the main mistake to avoid when solving rational equations?\",\"answer\":\"Avoid accepting extraneous solutions. Multiply by the LCD to solve, then plug solutions back into the original equation to verify denominators are not zero.\"},{\"question\":\"How do you determine how many real roots a quadratic has?\",\"answer\":\"Use the discriminant b^2-4ac. If it is greater than 0 there are 2 real roots; equal to 0 there is 1 repeated root; less than 0 there are 0 real roots (complex roots).\"}]","The Simple Digital SAT Math Cheat Sheet - quick reference - practice | PDF",{"code":4,"msg":82,"data":96},[97,101,105,108,113,118,123,128,133,136,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":98,"show_sort_weight":99,"slug":100},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":106,"slug":107},70,"exam",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":110,"show_sort_weight":111,"slug":112},5,"Comic",60,"comic",{"id":114,"doc_module":4,"doc_module_name":25,"category_name":115,"show_sort_weight":116,"slug":117},6,"Technology",50,"technology",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":121,"slug":122},7,"Healthcare",40,"healthcare",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":126,"slug":127},8,"Research & Report",30,"research-report",{"id":129,"doc_module":4,"doc_module_name":25,"category_name":130,"show_sort_weight":131,"slug":132},9,"Religion & Spirituality",20,"religion-spirituality",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":134,"show_sort_weight":131,"slug":135},"World Cup","world-cup",{"id":137,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":137,"slug":139},10,"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":109,"slug":143},19,"General","general"]