# SAT Math study guides

Canonical: https://duckyhelper.com/learn/sat-math/
Updated: 2026-10-01

The digital SAT Math section has 44 questions in two 35-minute modules, across four domains: Algebra, Advanced Math, Problem-Solving and Data Analysis, and Geometry and Trigonometry. Each guide below covers one skill: a plain explanation, worked examples from easy to SAT-hard, the mistakes that cost points, honest shortcuts (including Desmos), and five original practice questions. Start at the top and work down, or jump to the skill you keep missing.

- [Linear equations in one variable on the SAT](https://duckyhelper.com/learn/sat-math/linear-equations/): How to solve linear equations in one variable on the SAT, plus no solution and infinitely many solutions questions. Worked examples and 5 practice questions.
- [Linear functions and slope on the SAT](https://duckyhelper.com/learn/sat-math/linear-functions/): Find and interpret slope and intercepts on the SAT from points, tables, graphs and word problems. Worked examples, common traps and 5 practice questions.
- [Systems of linear equations on the SAT](https://duckyhelper.com/learn/sat-math/systems-of-equations/): Solve SAT systems of linear equations by substitution, elimination or Desmos, and spot no solution and infinitely many solutions fast. 5 practice questions.
- [Linear inequalities on the SAT](https://duckyhelper.com/learn/sat-math/linear-inequalities/): Solve linear inequalities, turn word problems into inequalities, and check points in systems of inequalities on the SAT. Worked examples, 5 practice questions.
- [Percentages on the SAT](https://duckyhelper.com/learn/sat-math/percentages/): Solve SAT percent questions with multipliers: percent of, percent change, discounts and tax, reverse percents and repeated changes. Examples and practice.
- [Ratios, rates, proportions and units on the SAT](https://duckyhelper.com/learn/sat-math/ratios-rates-and-units/): Solve SAT ratio, rate, proportion and unit conversion questions by tracking units, including the area conversion trap. Examples and 5 practice questions.
- [Equivalent expressions on the SAT](https://duckyhelper.com/learn/sat-math/equivalent-expressions/): Rewrite SAT expressions by distributing, factoring, using exponent rules and adding fractions, then match coefficients. Examples and 5 questions.
- [Functions and function notation on the SAT](https://duckyhelper.com/learn/sat-math/functions/): Evaluate f(x), read functions from graphs and tables, compose f(g(x)) and shift graphs on the SAT. Worked examples, common traps and 5 practice questions.
- [Quadratics on the SAT](https://duckyhelper.com/learn/sat-math/quadratics/): Solve SAT quadratics by factoring or the quadratic formula, find the vertex, and count real solutions with the discriminant. Examples and 5 practice questions.
- [Exponential growth and decay on the SAT](https://duckyhelper.com/learn/sat-math/exponential-functions/): Write and read SAT exponential growth and decay models: growth factor, percent rate, doubling time and changing the time unit. Examples and 5 questions.
- [Nonlinear equations and systems on the SAT](https://duckyhelper.com/learn/sat-math/nonlinear-equations-and-systems/): Solve SAT radical, absolute value and rational equations, and line plus parabola systems, without falling for extraneous solutions. Examples and 5 questions.
- [Mean, median and spread on the SAT](https://duckyhelper.com/learn/sat-math/statistics/): Find mean, median and range on the SAT, compare standard deviations, use the total trick, and see how outliers move each measure. Examples and 5 questions.
- [Probability and two-way tables on the SAT](https://duckyhelper.com/learn/sat-math/probability/): Answer SAT probability questions with two-way tables: find the right total, handle "given that" conditional probability, and combine events. With practice.
- [Scatterplots, margin of error and study design on the SAT](https://duckyhelper.com/learn/sat-math/scatterplots-and-inference/): Read lines of best fit and residuals, use margin of error, and judge what a sample or experiment can prove on the SAT. Worked examples and 5 practice questions.
- [Lines, angles and triangles on the SAT](https://duckyhelper.com/learn/sat-math/lines-angles-and-triangles/): The angle and triangle facts the SAT uses again and again: parallel lines, triangle sums, isosceles and similar triangles. Examples and 5 practice questions.
- [Area and volume on the SAT](https://duckyhelper.com/learn/sat-math/area-and-volume/): Use the SAT reference sheet for area and volume, work backward to a missing length, and scale shapes correctly. Worked examples and 5 practice questions.
- [Right triangles and trigonometry on the SAT](https://duckyhelper.com/learn/sat-math/right-triangles-and-trigonometry/): Right triangle trig for the SAT: SOHCAHTOA, special right triangles, sin x = cos(90 - x) and radians. Worked examples, common traps and 5 practice questions.
- [Circles on the SAT](https://duckyhelper.com/learn/sat-math/circles/): Solve SAT circle questions: read the circle equation, complete the square to find center and radius, and find arc length and sector area in degrees or radians.
- [How to use Desmos on the SAT](https://duckyhelper.com/learn/sat-math/desmos-calculator/): How to use the built-in Desmos calculator on the digital SAT: systems, parabolas, regressions, statistics and equivalence checks, and when it is slower.
- [The hardest SAT math question types, and how to beat them](https://duckyhelper.com/learn/sat-math/hardest-questions/): The question types that make SAT math hard: hidden constants, no-solution systems, discriminants, circles, percent chains and tangent lines, with practice.

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