SAT Math Study Guide

SAT Math Study Guide

Key Areas to Master:

1. Algebra
  • Solving linear equations & inequalities
  • Systems of equations
  • Manipulating expressions (factoring, expanding)
2. Problem Solving & Data Analysis
  • Ratios, proportions, and percentages
  • Unit conversions
  • Mean, median, mode, range
  • Interpreting graphs and tables
3. Advanced Math
  • Quadratic equations (factoring, completing the square, quadratic formula)
  • Polynomial operations
  • Rational expressions
  • Exponents and radicals
4. Geometry & Trigonometry
  • Triangle properties (Pythagorean Theorem, special triangles)
  • Circles (arc length, sector area, equations)
  • Coordinate geometry (slope, midpoint, distance)
  • Basic trig (sin, cos, tan for right triangles)

Formulas to Know:

  • Slope: m=(y2−y1)/(x2−x1)m = (y₂ − y₁)/(x₂ − x₁)
  • Distance: [(x2−x1)2+(y2−y1)2]\sqrt{[(x₂ − x₁)² + (y₂ − y₁)²]}
  • Midpoint: ((x1+x2)/2,(y1+y2)/2)((x₁ + x₂)/2, (y₁ + y₂)/2)
  • Quadratic Formula: x=[−b±(b2−4ac)]/(2a)x = [−b ± \sqrt{(b² − 4ac)}] / (2a)
  • Circle: (x−h)2+(y−k)2=r2(x − h)² + (y − k)² = r²
  • Volume of a cylinder: V=πr2hV = πr²h
  • Pythagorean theorem: a2+b2=c2a² + b² = c²
  • Area of triangle: A=12bhA = \frac{1}{2}bh

Practice Strategy:

  • Do 5–10 problems daily from official College Board or Khan Academy resources.
  • Time yourself—pace is key.
  • Focus on accuracy, then speed.