<h2>How SAT Math Is Structured in the Digital Era</h2> <p>The Digital SAT Math section has 44 questions across two 35-minute modules. The second module adapts based on your performance in the first — score well in Module 1 and you get harder (and higher-value) questions in Module 2. This means accuracy in the first module is critical: one careless error can cost you more than it would on a static test.</p> <h2>The Top 10 SAT Algebra Concepts</h2> <ol> <li><strong>Linear equations and inequalities</strong> — solving for x, interpreting slope and y-intercept.</li> <li><strong>Systems of equations</strong> — substitution, elimination, and recognising when a system has no solution or infinitely many solutions.</li> <li><strong>Quadratic equations</strong> — factoring, the quadratic formula, vertex form, and the relationship between roots and coefficients.</li> <li><strong>Exponential growth and decay</strong> — f(x) = a·bˣ and real-world applications (population, compound interest).</li> <li><strong>Polynomial operations</strong> — adding, multiplying, and factoring polynomials.</li> <li><strong>Rational expressions</strong> — simplifying, finding restrictions, solving equations with fractions.</li> <li><strong>Function notation and transformations</strong> — f(x+2), f(x)–3, interpreting domain and range.</li> <li><strong>Absolute value equations</strong> — recognising two-case solutions.</li> <li><strong>Proportional reasoning</strong> — direct and inverse proportion, unit rates.</li> <li><strong>Radicals and rational exponents</strong> — simplifying, rationalising denominators.</li> </ol> <h2>The Top 10 SAT Statistics and Data Concepts</h2> <ol> <li>Mean, median, and mode in context — especially how adding/removing outliers shifts the mean vs. median.</li> <li>Standard deviation — understanding spread, NOT calculating it by hand.</li> <li>Scatter plots, lines of best fit, and correlation — interpreting r² values and residuals.</li> <li>Margin of error and confidence intervals — understanding what they mean, not computing them.</li> <li>Probability — basic probability, complementary events, conditional probability.</li> <li>Two-way tables — marginal and conditional frequency, joint probability.</li> <li>Weighted average problems.</li> <li>Surveys, samples, and generalisation — representative vs. biased samples.</li> <li>Normal distribution — interpreting percentiles and z-scores conceptually.</li> <li>Bar charts, histograms, and box plots — extracting and comparing data.</li> </ol> <h2>The Plug-In Strategy: When and How to Use It</h2> <p>When a question has variables in both the question and the answer choices (e.g., "If f(x) = 3x + k and f(2) = 11, what is f(5)?"), plug in concrete numbers rather than solving algebraically. This works for at least 15–20% of SAT Math questions and eliminates careless algebraic errors. Key rule: after plugging in, eliminate all answer choices that don't produce the target number — usually only one answer survives.</p> <h2>Study Plan for 750–800</h2> <p>If you are scoring 650–699: focus on accuracy over speed. Practice without a calculator first (Module 1 is mostly no-calculator). If you are scoring 700–730: the gap is in hard questions — work specifically on Systems of 3 variables, quadratic word problems, and two-way table conditional probability. If you are at 730–749: the remaining gap is almost entirely careless errors. Use the "check your work by a different method" technique on every problem.</p>