Online Equation Generator

The Online Equation Generator creates sets of algebraic problems across common forms. It is designed for teachers, tutors, and students; it can generate linear, quadratic, systems, absolute value, and exponential equations. Users can set number_of_problems, choose equation_type, set coefficient ranges, and decide whether to include solutions. The generator ensures solvable equations and offers reproducibility via seed.

The system selects a form, constructs coefficients with constraints, and derives a corresponding solution for each problem. For linear problems it may generate ax + b = c and compute x = (c - b)/a; for quadratic problems it can build ax^2 + bx + c = 0 from chosen roots; for a two-equation system it produces a solvable pair with a unique solution; for absolute-value form it yields |ax + b| = c; for exponential form it produces a^x = b with x = log_b/log_a. It returns prompts plus optional solutions in a structured format suitable for download or programmatic consumption. Seed control guarantees reproducibility, which is essential for consistent assessments across classes.

What makes it valuable is its ability to tailor difficulty, enforce integer solutions when desired, and deliver ready-to-grade problem sets with answer keys. Educators can generate large worksheets quickly, students can practice modularly, and developers can ingest the data for LMS imports or automated testing. The tool supports multiple export formats (JSON, CSV, or plain text) and provides input validation to prevent invalid equations (such as a = 0 in linear form).