Step-by-Step Algebra Worksheet for Four Defined Forms
This private browser worksheet handles expanded linear equations in x, expanded quadratics up to x², two linear equations in x and y, and one-variable linear inequalities. It rejects syntax outside that boundary instead of guessing.
Each accepted problem shows coefficient collection, the relevant formula or determinant, the answer, and substitution checks where they apply. Graphs are illustrative views of the parsed equation; they are not symbolic proofs or substitutes for the numeric verification.
Practice mode generates problems from the same four tested families. No equation or answer is stored, sent to AI, placed in a URL, or uploaded. Copy, TXT, and print-to-PDF actions run only when you choose them.
Frequently Asked Questions
Which equation forms are accepted?
Expanded linear equations in x, expanded quadratics up to x², two linear equations in x and y, and one-variable linear inequalities. Parentheses, radicals, functions, variable denominators, and powers above x² are intentionally rejected.
How are singular 2×2 systems classified?
The determinant and replacement determinants distinguish equivalent equations with infinitely many solutions from distinct parallel lines with no solution.
When does the inequality sign reverse?
Reverse it when multiplying or dividing both sides by a negative number. For example, dividing -2x > 6 by -2 gives x < -3.
What does the discriminant show?
For a nonzero quadratic coefficient, D > 0 gives two distinct real roots, D = 0 gives one repeated real root, and D < 0 gives a complex-conjugate pair.