Math

Standard form.

Definition

A conventional way of writing equations. For linear equations, standard form is Ax + By = C where A, B, and C are integers and A is positive. For quadratic equations, it is ax² + bx + c = 0. Standard form makes certain calculations, like finding intercepts, straightforward.

Examples

Real-world.

  • 1 Linear: 3x + 2y = 12 is in standard form
  • 2 Quadratic: x² − 5x + 6 = 0 is in standard form
  • 3 Converting y = 2x − 7 to standard form gives −2x + y = −7, or 2x − y = 7
Key Fact

Linear: Ax + By = C; Quadratic: ax² + bx + c = 0

Studied in

1 unit use this concept.