Module 3 · Advanced Algebra
Chapter 13: Quadratic Equations
Advanced Math
5 topics
What this chapter covers
The 5 topics below make up Quadratic Equations on the Digital SAT. Click any topic to open its notes, examples and practice test.
Study material & tests
📚 Study this chapter
Notes, worked examples and hint-guided practice for every topic.
Start learning →
🎯 Topic tests
8 auto-graded questions per topic, pulled from the question bank.
Practice by topic →
📝 Chapter test
25 fresh mixed-difficulty questions, timed, with full solutions.
Take chapter test →
Formula Reference Sheet
This chapter
Forms & solving
| Standard form | ax² + bx + c = 0 |
|---|---|
| Zero-product rule | if AB = 0 then A = 0 or B = 0 |
| Square-root method | x² = k ⇒ x = ±√k |
| Quadratic formula | x = (−b ± √(b² − 4ac)) / 2a |
Discriminant
| Discriminant | D = b² − 4ac |
|---|---|
| Two real roots | D > 0 |
| One real root | D = 0 |
| No real roots | D < 0 |
Digital SAT reference
Area & Circumference
| Circle area | A = πr² |
|---|---|
| Circle circumference | C = 2πr |
| Rectangle | A = ℓw |
| Triangle | A = ½ b h |
Volume
| Rectangular box | V = ℓwh |
|---|---|
| Cylinder | V = πr²h |
| Sphere | V = 4⁄3 πr³ |
| Cone | V = 1⁄3 πr²h |
| Pyramid | V = 1⁄3 ℓwh |
Right triangles
| Pythagorean theorem | a² + b² = c² |
|---|---|
| 30°–60°–90° | sides x : x√3 : 2x |
| 45°–45°–90° | sides s : s : s√2 |
Constants
| Degrees in a circle | 360° |
|---|---|
| Radians in a circle | 2π |
| Angles of a triangle | sum = 180° |
🖩 Graphing Calculator