Algebra

Solve equations in standard form ax^2 + bx + c = 0 by checking the discriminant first, then reading the real, repeated, complex, or linear result.

Solve a one-variable equation in the form ax + b = c by isolating x with two inverse moves, then checking special zero-coefficient cases.

Solve a 2x2 system by reading it as two lines, using the determinant to identify one intersection, no solution, or infinitely many solutions.

Calculate slope as rise over run between two ordered coordinate points, with clear handling for positive, negative, zero, and undefined slope cases.

Find the center of a line segment by averaging matching coordinates, x with x and y with y, regardless of which endpoint is entered first.

Find the straight-line distance between two coordinate points by turning delta x and delta y into the legs of a right triangle.