{"id":90489,"date":"2025-06-25T13:32:20","date_gmt":"2025-06-25T08:02:20","guid":{"rendered":"https:\/\/www.seminarsonly.com\/news\/?p=90489"},"modified":"2025-06-25T15:52:39","modified_gmt":"2025-06-25T10:22:39","slug":"algebra-2-regents-cheat-sheet","status":"publish","type":"post","link":"https:\/\/seminarsonly.com\/news\/algebra-2-regents-cheat-sheet\/","title":{"rendered":"Algebra 2 Regents Cheat Sheet"},"content":{"rendered":"<h3 data-start=\"0\" data-end=\"37\"><span style=\"color: #008000;\"><em><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Here\u2019s a streamlined <strong data-start=\"21\" data-end=\"56\">Algebra\u202f2 Regents \u201ccheat sheet\u201d<\/strong> to help you prep efficiently: <\/span><strong data-start=\"0\" data-end=\"16\" data-is-only-node=\"\">Print &amp; Save<\/strong>: as a handy reference while studying. <span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"13\" data-is-only-node=\"\">Highlight<\/strong> the formulas you don&#8217;t automatically remember.<\/span><\/em><\/span><\/h3>\n<hr data-start=\"39\" data-end=\"42\" \/>\n<h2 data-start=\"44\" data-end=\"74\"><span style=\"color: #800000;\">\ud83d\udcd0 Key Formulas &amp; Concepts<\/span><\/h2>\n<h4 data-start=\"76\" data-end=\"98\"><span style=\"color: #000080;\">1. <strong data-start=\"84\" data-end=\"98\">Quadratics<\/strong><\/span><\/h4>\n<ul data-start=\"99\" data-end=\"260\">\n<li data-start=\"99\" data-end=\"140\">\n<p data-start=\"101\" data-end=\"140\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"15\" data-is-only-node=\"\">Vertex form<\/strong>: <span class=\"katex\"><span class=\"katex-mathml\">y=a(x\u2212h)2+ky = a(x &#8211; h)^2 + k<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">y<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">a<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">h<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">k<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"141\" data-end=\"182\">\n<p data-start=\"143\" data-end=\"182\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"21\" data-is-only-node=\"\">Quadratic formula<\/strong>: <span class=\"katex\"><span class=\"katex-mathml\">x=\u2212b\u00b1b2\u22124ac2ax = \\frac{-b \\pm \\sqrt{b^2 &#8211; 4ac}}{2a}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<span class=\"mord mathnormal mtight\">a<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2212<span class=\"mord mathnormal mtight\">b<\/span><span class=\"mbin mtight\">\u00b1<\/span><span class=\"mord sqrt mtight\"><span class=\"svg-align\"><span class=\"mord mathnormal mtight\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"sizing reset-size3 size1 mtight\">2<\/span><\/span><\/span><span class=\"mbin mtight\">\u2212<\/span>4<span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">c<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"183\" data-end=\"260\">\n<p data-start=\"185\" data-end=\"260\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"16\" data-is-only-node=\"\">Discriminant<\/strong>: <span class=\"katex\"><span class=\"katex-mathml\">D=b2\u22124acD = b^2 &#8211; 4ac<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">D<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">b<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><span class=\"mord mathnormal\">a<\/span><span class=\"mord mathnormal\">c<\/span><\/span><\/span><\/span> (dictates number\/type of roots)<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"262\" data-end=\"281\"><span style=\"color: #000080;\">2. <strong data-start=\"270\" data-end=\"281\">Circles<\/strong><\/span><\/h4>\n<ul data-start=\"282\" data-end=\"359\">\n<li data-start=\"282\" data-end=\"359\">\n<p data-start=\"284\" data-end=\"359\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Standard equation: <span class=\"katex\"><span class=\"katex-mathml\">(x\u2212h)2+(y\u2212k)2=r2(x &#8211; h)^2 + (y &#8211; k)^2 = r^2<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">h<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">y<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">k<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">r<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"361\" data-end=\"387\"><span style=\"color: #000080;\">3. <strong data-start=\"369\" data-end=\"387\">Slopes &amp; Lines<\/strong><\/span><\/h4>\n<ul data-start=\"388\" data-end=\"507\">\n<li data-start=\"388\" data-end=\"467\">\n<p data-start=\"390\" data-end=\"467\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Slope (rate of change): <span class=\"katex\"><span class=\"katex-mathml\">m=y2\u2212y1x2\u2212x1m = \\frac{y_2 &#8211; y_1}{x_2 &#8211; x_1}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">2<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">1<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">y<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">2<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">y<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"468\" data-end=\"507\">\n<p data-start=\"470\" data-end=\"507\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Slope-intercept form: <span class=\"katex\"><span class=\"katex-mathml\">y=mx+by = mx + b<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">y<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">m<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">b<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"509\" data-end=\"539\"><span style=\"color: #000080;\">4. <strong data-start=\"517\" data-end=\"539\">Sequences &amp; Series<\/strong><\/span><\/h4>\n<ul data-start=\"540\" data-end=\"709\">\n<li data-start=\"540\" data-end=\"583\">\n<p data-start=\"542\" data-end=\"583\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Arithmetic: <span class=\"katex\"><span class=\"katex-mathml\">an=a1+(n\u22121)da_n = a_1 + (n &#8211; 1)d<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mord mathnormal\">d<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"584\" data-end=\"667\">\n<p data-start=\"586\" data-end=\"667\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Sum of arithmetic series: <span class=\"katex\"><span class=\"katex-mathml\">Sn=n\u2009(a1+an)2S_n = n\\,\\frac{(a_1 + a_n)}{2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">n<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\">1<\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"mbin mtight\">+<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"msupsub\"><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"668\" data-end=\"709\">\n<p data-start=\"670\" data-end=\"709\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Geometric (recursive): <span class=\"katex\"><span class=\"katex-mathml\">an=an\u22121\u00d7ra_n = a_{n-1} \\times r<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">a<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span>1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">r<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"711\" data-end=\"739\"><span style=\"color: #000080;\">5. <strong data-start=\"719\" data-end=\"739\">Exponents &amp; Logs<\/strong><\/span><\/h4>\n<ul data-start=\"740\" data-end=\"909\">\n<li data-start=\"740\" data-end=\"783\">\n<p data-start=\"742\" data-end=\"783\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">General growth: <span class=\"katex\"><span class=\"katex-mathml\">A=P(1\u00b1r)tA = P(1 \\pm r)^t<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mbin\">\u00b1<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">r<\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"784\" data-end=\"827\">\n<p data-start=\"786\" data-end=\"827\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Compounded: <span class=\"katex\"><span class=\"katex-mathml\">A=P(1+rn)ntA = P\\left(1 + \\frac{r}{n}\\right)^{nt}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"minner\"><span class=\"mopen delimcenter\"><span class=\"delimsizing size1\">(<\/span><\/span><span class=\"mord\">1<\/span><span class=\"mbin\">+<\/span><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\"><span class=\"delimsizing size1\">)<\/span><\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"828\" data-end=\"909\">\n<p data-start=\"830\" data-end=\"909\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Continuous: <span class=\"katex\"><span class=\"katex-mathml\">A=PertA = Pe^{rt}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mord\"><span class=\"mord mathnormal\">e<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"911\" data-end=\"935\"><span style=\"color: #000080;\">6. <strong data-start=\"919\" data-end=\"935\">Trigonometry<\/strong><\/span><\/h4>\n<ul data-start=\"936\" data-end=\"1257\">\n<li data-start=\"936\" data-end=\"1129\">\n<p data-start=\"938\" data-end=\"951\">Identities:<\/p>\n<ul data-start=\"954\" data-end=\"1129\">\n<li data-start=\"954\" data-end=\"997\">\n<p data-start=\"956\" data-end=\"997\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">sin\u20612\u03b8+cos\u20612\u03b8=1\\sin^2\\theta + \\cos^2\\theta = 1<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mop\">sin<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mop\">cos<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"1000\" data-end=\"1043\">\n<p data-start=\"1002\" data-end=\"1043\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">1+tan\u20612\u03b8=sec\u20612\u03b81 + \\tan^2\\theta = \\sec^2\\theta<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mop\">tan<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">sec<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">\u03b8<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"1046\" data-end=\"1129\">\n<p data-start=\"1048\" data-end=\"1129\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><span class=\"katex\"><span class=\"katex-mathml\">1+cot\u20612\u03b8=csc\u20612\u03b81 + \\cot^2\\theta = \\csc^2\\theta<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">1<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mop\">cot<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">csc<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">\u03b8<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"1130\" data-end=\"1257\">\n<p data-start=\"1132\" data-end=\"1173\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Function form: <span class=\"katex\"><span class=\"katex-mathml\">y=Asin\u2061(bx\u2212h)+ky = A\\sin(bx &#8211; h) + k<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">y<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mop\">sin<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">b<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">h<\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">k<\/span><\/span><\/span><\/span><\/span><\/p>\n<ul data-start=\"1176\" data-end=\"1257\">\n<li data-start=\"1176\" data-end=\"1257\">\n<p data-start=\"1178\" data-end=\"1257\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Amplitude = <span class=\"katex\"><span class=\"katex-mathml\">\u2223A\u2223|A|<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\">\u2223<\/span><\/span><\/span><\/span>, Period = <span class=\"katex\"><span class=\"katex-mathml\">2\u03c0\u2223b\u2223\\frac{2\\pi}{|b|}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u2223<span class=\"mord mathnormal mtight\">b<\/span>\u2223<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<span class=\"mord mathnormal mtight\">\u03c0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<h4 data-start=\"1259\" data-end=\"1290\"><span style=\"color: #000080;\">7. <strong data-start=\"1267\" data-end=\"1290\">Probability &amp; Stats<\/strong><\/span><\/h4>\n<ul data-start=\"1291\" data-end=\"1674\">\n<li data-start=\"1291\" data-end=\"1334\">\n<p data-start=\"1293\" data-end=\"1334\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Independent events: <span class=\"katex\"><span class=\"katex-mathml\">P(A\u2229B)=P(A)P(B)P(A\u2229B) = P(A)P(B)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mbin\">\u2229<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">B<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">B<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"1335\" data-end=\"1378\">\n<p data-start=\"1337\" data-end=\"1378\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Conditional: <span class=\"katex\"><span class=\"katex-mathml\">P(A\u2223B)=P(A\u2229B)P(B)P(A|B) = \\frac{P(A \u2229 B)}{P(B)}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord\">\u2223<\/span><span class=\"mord mathnormal\">B<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">P<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">B<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">P<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">A<\/span><span class=\"mbin mtight\">\u2229<\/span><span class=\"mord mathnormal mtight\">B<\/span><span class=\"mclose mtight\">)<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"1379\" data-end=\"1462\">\n<p data-start=\"1381\" data-end=\"1462\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">\u201cOr\u201d formula: <span class=\"katex\"><span class=\"katex-mathml\">P(A\u222aB)=P(A)+P(B)\u2212P(A\u2229B)P(A\u222aB) = P(A) + P(B) &#8211; P(A \u2229 B)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mbin\">\u222a<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">B<\/span><span class=\"mclose\">)<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">B<\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mbin\">\u2229<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">B<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li data-start=\"1463\" data-end=\"1592\">\n<p data-start=\"1465\" data-end=\"1506\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Normal distribution (empirical rule):<\/span><\/p>\n<ul data-start=\"1509\" data-end=\"1592\">\n<li data-start=\"1509\" data-end=\"1592\">\n<p data-start=\"1511\" data-end=\"1592\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">~68% within 1\u03c3, ~95% within 2\u03c3, ~99.7% within 3\u03c3<\/span><\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li data-start=\"1593\" data-end=\"1674\">\n<p data-start=\"1595\" data-end=\"1674\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">Confidence (approx): mean \u00b1 2\u202fSD<\/span><\/p>\n<\/li>\n<\/ul>\n<h4 data-start=\"1676\" data-end=\"1701\"><span style=\"color: #000080;\">8. <strong data-start=\"1684\" data-end=\"1701\">Miscellaneous<\/strong><\/span><\/h4>\n<ul data-start=\"1702\" data-end=\"1827\">\n<li data-start=\"1702\" data-end=\"1745\">\n<p data-start=\"1704\" data-end=\"1745\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"28\" data-is-only-node=\"\">Circle\/Slope\/Line Review<\/strong> above covers most essentials.<\/span><\/p>\n<\/li>\n<li data-start=\"1746\" data-end=\"1827\">\n<p data-start=\"1748\" data-end=\"1827\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">On the Regents exam, you\u2019ll get a <strong data-start=\"34\" data-end=\"53\">reference sheet<\/strong> with quadratics, trig identities, and probability formulas.<\/span><\/p>\n<\/li>\n<\/ul>\n<h3>Also Read : <a href=\"https:\/\/www.seminarsonly.com\/news\/how-does-rank-choice-voting-work-in-nyc\/\">How Does Rank Choice Voting Work in NYC<\/a><\/h3>\n<hr data-start=\"1829\" data-end=\"1832\" \/>\n<h2 data-start=\"1834\" data-end=\"1867\"><span style=\"color: #800000;\">\ud83e\udde0 Exam Strategy &amp; Vocabulary<\/span><\/h2>\n<ul data-start=\"1869\" data-end=\"2121\">\n<li data-start=\"1869\" data-end=\"1953\">\n<p data-start=\"1871\" data-end=\"1953\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">When you see &#8220;compound interest&#8221;, use the <span class=\"katex\"><span class=\"katex-mathml\">A=P(1+rn)ntA = P(1 + \\frac{r}{n})^{nt}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">P<\/span><span class=\"mopen\">(<\/span><span class=\"mord\">1<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> formula<\/span>.<\/p>\n<\/li>\n<li data-start=\"1954\" data-end=\"2038\">\n<p data-start=\"1956\" data-end=\"2038\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">&#8220;Inverse&#8221; means swap x and y to find <span class=\"katex\"><span class=\"katex-mathml\">f\u22121(x)f^{-1}(x)<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">f<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">\u22121<\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>.<\/p>\n<\/li>\n<li data-start=\"2039\" data-end=\"2121\">\n<p data-start=\"2041\" data-end=\"2121\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\">For phrases like period\/amplitude, recall their definitions in trig graphs<\/span> .<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"2123\" data-end=\"2126\" \/>\n<h2 data-start=\"2128\" data-end=\"2161\"><span style=\"color: #800000;\">\ud83d\udcce Bonus: Printable Resources<\/span><\/h2>\n<ul data-start=\"2163\" data-end=\"2412\">\n<li data-start=\"2163\" data-end=\"2246\">\n<p data-start=\"2165\" data-end=\"2246\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"33\" data-is-only-node=\"\">MathSux.org Cheat Sheet &amp; PDF<\/strong>: quick download for formulas and graphs<\/span><\/p>\n<\/li>\n<li data-start=\"2247\" data-end=\"2330\">\n<p data-start=\"2249\" data-end=\"2330\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"24\" data-is-only-node=\"\">NYSED EngageNY Guide<\/strong>: official test guide with sample questions<\/span><\/p>\n<\/li>\n<li data-start=\"2331\" data-end=\"2412\">\n<p data-start=\"2333\" data-end=\"2412\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"25\" data-is-only-node=\"\">Quiz Gecko Flashcards<\/strong>: great for memorizing flashcard-style formulas<\/span><\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"2414\" data-end=\"2417\" \/>\n<h2 data-start=\"2419\" data-end=\"2452\"><span style=\"color: #800000;\">\u2705 How to Use This Cheat Sheet<\/span><\/h2>\n<ol data-start=\"2454\" data-end=\"2672\">\n<li data-start=\"2454\" data-end=\"2498\">\n<p data-start=\"2457\" data-end=\"2498\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"16\" data-is-only-node=\"\">Print &amp; Save<\/strong>: as a handy reference while studying.<\/span><\/p>\n<\/li>\n<li data-start=\"2499\" data-end=\"2543\">\n<p data-start=\"2502\" data-end=\"2543\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"13\" data-is-only-node=\"\">Highlight<\/strong> the formulas you don&#8217;t automatically remember.<\/span><\/p>\n<\/li>\n<li data-start=\"2544\" data-end=\"2588\">\n<p data-start=\"2547\" data-end=\"2588\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"30\" data-is-only-node=\"\">Pair with sample questions<\/strong>\u2014especially from EngageNY\u2014to test each topic.<\/span><\/p>\n<\/li>\n<li data-start=\"2589\" data-end=\"2672\">\n<p data-start=\"2592\" data-end=\"2672\"><span class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"><strong data-start=\"0\" data-end=\"24\" data-is-only-node=\"\">Watch MathSux videos<\/strong> for deep dives on weak spots<\/span><\/p>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Here\u2019s a streamlined Algebra\u202f2 Regents \u201ccheat sheet\u201d to help you prep efficiently: Print &amp; Save: as a handy reference while studying. Highlight the formulas you don&#8217;t automatically remember. \ud83d\udcd0 Key&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5919],"tags":[],"class_list":["post-90489","post","type-post","status-publish","format-standard","hentry","category-usa"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.2 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Algebra 2 Regents Cheat Sheet - Seminarsonly.com<\/title>\n<meta name=\"description\" content=\"Here\u2019s a streamlined Algebra\u202f2 Regents \u201ccheat sheet\u201d to help you prep efficiently: Print &amp; Save: as a handy reference while studying. 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