SAT Math Pro — Advanced Practice Set

📐 Core Concepts & Key Formulas

Review these before starting. These are tested on every SAT Math section.

Algebra

Systems of equations, quadratics, inequalities, absolute value, functions

Advanced Math

Polynomial operations, rational expressions, complex numbers, exponential models

Problem Solving

Ratios, proportions, percentages, unit conversion, data interpretation

Geometry

Area, volume, circles, triangles, trigonometry, coordinate geometry

📌 Must-Memorize Formulas

Quadraticx = (−b ± √(b²−4ac)) / 2a

Distanced = √((x₂−x₁)² + (y₂−y₁)²)

Circle(x−h)² + (y−k)² = r²

SOHCAHTOAsin=opp/hyp, cos=adj/hyp, tan=opp/adj

Vertexx = −b/2a, y = f(−b/2a)

Percent% change = (new−old)/old × 100

Slopem = (y₂−y₁)/(x₂−x₁)

Exponentaᵐ · aⁿ = aᵐ⁺ⁿ, (aᵐ)ⁿ = aᵐⁿ

💡 Example Problem (SAT Style)

Here's how hard SAT questions look and how to approach them:

Example: If f(x) = 2x² − 3x + 1 and g(x) = x − 2, what is f(g(3))?

Step-by-step solution: Step 1: Find g(3) = 3 − 2 = 1
Step 2: Find f(1) = 2(1)² − 3(1) + 1 = 2 − 3 + 1 = 0
Answer: 0 → (B)

⚡ SAT Strategy: Always work inside-out for composite functions. Never rush — check each step. On hard questions, eliminate obviously wrong answers first.