The Ultimate SAT Math Course (+FREE Worksheets & Tests)
Welcome to the most complete free SAT Math course on the web. Whether you’re aiming for a perfect 800 or just trying to clear the score you need for your dream school, this hub pulls together every SAT Math lesson, practice test, formula sheet, calculator guide, and book recommendation we offer — all in one place, all free.
The SAT Math section breaks down into four content areas: Heart of Algebra (linear equations and systems), Problem Solving and Data Analysis (ratios, percents, statistics), Passport to Advanced Math (quadratics, exponentials, polynomials), and Additional Topics in Math (geometry and trigonometry). Knowing where the test puts its weight is half the battle — work the topics below in roughly that order and you’ll see your practice scores climb.
Bookmark this page. Every link below opens a focused lesson with worked examples and free practice problems.
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SAT Math Test Prep Resources
Before you dive into the topic-by-topic lessons, get the lay of the land. These guides cover what’s on the test, how it’s scored, what calculator to bring, and how to put together a study plan that actually fits your schedule.
Understanding the SAT Math Test
- A Comprehensive Guide to the SAT Test
- Overview of the SAT Mathematics Test
- What Skills Do I Need for the SAT Math Test?
- SAT Math vs. High School Math
- How Many Questions Are on the SAT Test?
- How Long Is the SAT Test?
- What Is a Good SAT Score?
- What Is a Perfect SAT Score?
- When Do SAT Scores Come Out?
- What Does SAT Stand For?
- SAT Math vs. ACT Math: Key Differences
- How to Decide Between the ACT and SAT
- SAT vs. PSAT: What You Need to Know
Building Your SAT Math Study Plan
- Top Proven Strategies to Increase Your SAT Math Score
- How to Get a Perfect Score of 800 on SAT Math
- How to Get 800 on the SAT Math
- What to Consider When Retaking the ACT or SAT
SAT Math Calculator Guides
Free SAT Math Practice Tests and Worksheets
- A Comprehensive Collection of Free SAT Math Practice Tests
- Top 10 Free Websites for SAT Math Preparation
Best SAT Math Prep Books
- Top 10 SAT Math Prep Books
- Best SAT Math Prep Books
- Best Books for Students Preparing for the SAT Math Test
SAT Math Complete Course
The SAT Math test is built on four content areas. The sections below mirror that structure, with focused lessons on every concept the test loves to ask about. Don’t try to power through everything in one sitting — work one section at a time and check your understanding with the practice problems before moving on.
Heart of Algebra: Linear Equations and Systems
- Identifying Expressions and Equations
- Equivalent Expressions
- Properties to Write Equivalent Expressions
- One-Step Equations
- Multi-Step Equations
- Rearranging a Multi-Variable Equation
- Two-Variable Equations from Tables
- Graphing Two-Variable Equations
- Writing Inequalities from Number Lines
- Graphing Single-Variable Inequalities
- One-Step Inequalities
- Linear Equation and Inequality Word Problems
Problem Solving: Ratios, Rates, and Percentages
- Writing a Ratio
- Ratio Tables
- Finding Equivalent Ratios
- Equivalent Rates
- Word Problems: Rates and Ratios
- Similarity and Ratios
- Representing Percentages
- Solving Percentage Word Problems
- Converting Between Percent, Fractions, and Decimals
- Percent Problems
- Simple Interest Problems
- Unit Prices
Data Analysis, Statistics, and Probability
- Mean, Median, Mode, and Range
- Mean, Median, Mode from Charts
- Identifying Outliers
- Range, Quartiles, and Interquartile Range
- Pie Graphs
- Line Plots
- Frequency Distribution Tables
- Interpreting Categorical Data
- Finding the Probability of an Event
Passport to Advanced Math: Quadratics, Polynomials, Exponentials
- Writing a Quadratic Function
- Multiplying Rational Expressions
- Adding and Subtracting Rational Expressions
- Multiplying Radical Expressions
- Radical Equations
- Exponents in Multiplication
- Powers of Ten
- Prime Factorization with Exponents
- Integers Raised to Rational Exponents
- Factoring Variable Expressions
- Distributive Property: Factoring
- Infinite Geometric Series
- Solving Arithmetic Series
Additional Topics: Geometry and Trigonometry
- Triangles
- Triangle Inequality
- Sides and Angles of a Triangle
- Area of a Triangle
- Area of a Parallelogram
- Area of a Trapezoid
- Area of Compound Figures
- Cubes
- Rectangular Prisms
- Word Problems: Volume
- Objects on a Coordinate Plane
- Understanding Quadrants
- Reciprocal Trigonometric Functions
- Angles of Rotation
The Perfect Crash Course for the SAT Math Test
Frequently Asked Questions
How long does it take to prepare for the SAT Math test?
If your math foundations are solid and you just need to learn the test format, 4–6 weeks of focused study is usually enough. If you’re rebuilding rusty algebra and geometry, plan on 2–3 months — about an hour a day, four to five days a week. The biggest gains come from working the four content areas in order, then taking a full-length practice test every Sunday so you can see exactly where you’re losing points.
What math topics are on the SAT?
The SAT Math section covers four areas: Heart of Algebra (linear equations, inequalities, systems), Problem Solving and Data Analysis (ratios, percentages, statistics), Passport to Advanced Math (quadratic and exponential functions, polynomials), and Additional Topics in Math (geometry and trigonometry). Heart of Algebra and Problem Solving together account for the majority of questions, so prioritize those if your time is short.
Can I use a calculator on the SAT Math test?
The current digital SAT allows a calculator on the entire math section. The on-screen Desmos graphing calculator is built in, but you can also bring your own approved physical calculator (the TI-84 family is the safest bet). Practice with whatever you’ll use on test day so you’re not learning the menus under time pressure. See our SAT calculator guide for details.
What’s a good SAT Math score?
A 600 puts you above average; a 700+ is competitive at most universities; an 800 is the maximum and required for the most selective schools. For most students, your first goal should be the score your target colleges’ middle 50% range — once you can hit that consistently in practice tests, your real score usually lands right there.
Are these SAT Math lessons really free?
Yes — every lesson, worksheet, and practice test linked above is free to use. The prep books on this page are the ones our students reach for the most when they want a single, structured resource to work through cover to cover.
The Complete High School Math Bundle
If you want every SAT-relevant book in one set — Algebra I, Algebra II, Geometry, Pre-Calculus — the bundle below covers every prerequisite topic the SAT will throw at you.
Have any questions about the SAT Math Test?
Drop your question in the comments below — about a specific topic, the digital format, study planning, anything — and we’ll reply.
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