Math · SAT Practice

Free SAT Advanced Math Practice Questions

SAT Advanced Math covers nonlinear equations and functions that go beyond basic algebra. This includes quadratic equations and functions, polynomial operations, radical and rational equations, and exponential functions. Advanced Math is the second-largest category in SAT Math.

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What's Covered

Quadratic equations and functions
Polynomial operations and factors
Exponential and radical functions
Rational expressions
Systems with nonlinear equations
Function notation and composition

Sample Question

Which of the following is equivalent to x² + 6x + 9?

A(x + 3)²
B(x − 3)²
C(x + 9)(x + 1)
D(x + 6)²

Explanation

x² + 6x + 9 is a perfect square trinomial. It factors as (x + 3)² = x² + 6x + 9.

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Frequently Asked Questions

How much of the SAT Math section is Advanced Math?

Advanced Math makes up about 28% of the Math section — roughly 12–13 questions.

Do I need a calculator for Advanced Math on the SAT?

Some Advanced Math questions appear in the no-calculator module. You should be comfortable factoring and solving quadratics by hand.

What's the hardest Advanced Math topic on the SAT?

Most students find nonlinear systems and function composition the hardest. DuckSAT has dedicated drills for both.

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