SAT Quadratic Equations: A Guide to Advanced Math

Quadratic equations are a major component of the "Passport to Advanced Math" domain on the SAT. This guided path will teach you the essential skills, from algebraic solving methods to the crucial interpretation of their graphs (parabolas).

Section 1: Core Solving Methods

The Foundation: What is a Quadratic?

Start with the core definition of a quadratic equation and use our interactive verifier to understand what the "roots" of an equation represent.

Method 1: Solving by Factoring

Learn the step-by-step process of factoring quadratic expressions to find the roots, a crucial skill for the no-calculator section.

Method 2: The Quadratic Formula

Master the universal tool for solving any quadratic equation. Our interactive calculator shows you how to apply the formula step by step.

Section 2: SAT Strategies & Applications

Graphs & Number of Solutions (NEW)

Visually connect the discriminant ($$b^2-4ac$$) to the graph of a parabola and understand how it determines the number of real solutions.

Modeling with Quadratic Functions (NEW)

Learn the step-by-step process of translating a real-world SAT word problem (like a projectile's path) into a quadratic function.

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