SAT Advanced Math
Quadratics, polynomials, exponentials, and nonlinear systems.
SAT Advanced Math represents ~35% of the Math section (13 to 15 questions), focusing on nonlinear functions: quadratic equations, parabolas, polynomials, radical expressions, and exponential growth/decay models.
Advanced Math distinguishes top-tier scorers. It tests your fluency with quadratic forms (standard, vertex, factored), operations with rational expressions, radical equations, and exponential functions.
For what value of c will the quadratic equation x² - 6x + c = 0 have exactly one real solution?
Core Rules & Common Traps
| Rule / Concept | How It's Tested | The Trap to Avoid |
|---|---|---|
| Quadratic Discriminant | b² - 4ac > 0 (2 real roots), b² - 4ac = 0 (1 real root / tangent), b² - 4ac < 0 (no real roots). | Forgetting to set the quadratic to 0 before identifying a, b, and c. |
| Vertex Form of a Parabola | y = a(x - h)² + k directly exposes the vertex (h, k) and maximum/minimum value. | Sign error on h: (x - 3)² has vertex at x = +3, not -3. |
What this domain covers
Strategy that actually works
Frequently asked questions
What is the most important Advanced Math formula?
The vertex formula x = -b / (2a) and the discriminant b² - 4ac are the two highest-yield quadratic formulas on the Digital SAT.
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