SAT · math · advanced math
Master SAT Advanced Math
Build the algebra skills behind quadratics, polynomials, radicals, rational expressions, and more.
Overview
Advanced Math is where the SAT asks you to work with the algebraic ideas that power higher-level math. In this domain, you go beyond basic solving and learn how equations, expressions, and functions behave, how to rewrite them efficiently, and how to choose the best strategy under time pressure.
You’ll see problems involving quadratics, polynomials, exponents, radicals, rational expressions, and absolute value. These questions often reward pattern recognition, careful algebra, and strong fluency with structure. Instead of doing long calculations, success often comes from noticing what a form means, what a graph must do, or which manipulation will simplify the problem fastest.
This domain matters because it shows up in many forms on the SAT: multiple-choice, student-produced response, and both calculator and no-calculator settings. A strong foundation in Advanced Math can raise your score quickly because the same core skills repeat across many question types.
Just as important, these are the tools you’ll use in future courses like Algebra 2, precalculus, statistics, and science classes. Mastering Advanced Math on the SAT helps you become faster, more accurate, and more confident with complex algebra.
Why this domain matters
Why it matters
- Advanced Math makes up a major portion of SAT Math and tests the algebraic reasoning skills that colleges expect you to have.
- Many questions in this domain can be solved efficiently once you recognize key structures such as factored form, vertex form, or expressions with common denominators.
- The skills in this domain carry directly into future coursework, especially when working with functions, equations, and quantitative models.
What you'll learn
- How to solve and interpret quadratic equations and functions, including factoring, using the quadratic formula, and analyzing key features of graphs.
- How to simplify polynomial expressions and solve polynomial equations by using structure, factoring, and equivalent forms.
- How to work with exponential and radical equations, including isolating expressions, checking for extraneous solutions, and interpreting growth patterns.
- How to simplify, combine, and solve problems with rational expressions while tracking restrictions on variables.
- How to solve absolute value equations and understand how absolute value represents distance and creates piecewise-style behavior.
Topics & practice quizzes
Start with the suggested set, then work through every practice quiz for that topic.
Quadratic equations and functions
Start here- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 9Set 9
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 10Set 10
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 11Set 11
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 12Set 12
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 13Set 13
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 14Set 14
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 15Set 15
- SAT Quadratic Equations And Functions Practice Questions (Free + Explanations) | Quiz 16Set 16
Polynomial expressions and equations
Start here- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 1Set 1
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 2Set 2
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 3Set 3
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 4Set 4
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 5Set 5
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 6Set 6
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 7Set 7
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 8Set 8
- SAT Polynomial Expressions And Equations Practice Questions (Free + Explanations) | Quiz 9Set 9
Exponential and radical equations
Start here- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 1Set 1
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 2Set 2
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 3Set 3
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 4Set 4
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 5Set 5
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 6Set 6
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 7Set 7
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 8Set 8
- SAT Exponential And Radical Equations Practice Questions (Free + Explanations) | Quiz 9Set 9
Rational expressions
Start here- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 1Set 1
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 2Set 2
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 3Set 3
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 4Set 4
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 5Set 5
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 6Set 6
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 7Set 7
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 8Set 8
- SAT Rational Expressions Practice Questions (Free + Explanations) | Quiz 9Set 9
Absolute value equations
Start here- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 1Set 1
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 2Set 2
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 3Set 3
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 4Set 4
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 5Set 5
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 6Set 6
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 7Set 7
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 8Set 8
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 9Set 9
- SAT Absolute Value Equations Practice Questions (Free + Explanations) | Quiz 10Set 10
Boost your SAT Math score
- Adaptive practice
- Weak area targeting
- Detailed explanations