Use a free algebra calculator with worked steps for equations, quadratics, sequences, simultaneous equations and straight lines.
Enter the known values to see the answer and the working.
Algebra represents relationships that remain true while values change. The OpenSchoolbag solver adapts MATHGPTNOW’s coefficient-based functions for linear equations, quadratics, sequences, simultaneous equations and straight lines. It is designed to reveal a transformation or substitution, not to guess what an unfamiliar word problem means. Translate the question first, then use the displayed result to check equivalence, signs and conditions.
Name the unknown and define what it measures. Copy every coefficient, constant, bracket and sign into a standard form before entering values. For two equations, keep the variable order consistent. For a line, label each coordinate pair. A solver can process the equation entered, but it cannot detect that the equation does not represent the original situation.
An equation is a statement that two expressions have the same value. Adding, subtracting, multiplying or dividing both sides by an allowed value preserves that balance. When comparing your paper work with the tool, find the first line where the two forms stop being equivalent. That line is more useful than simply replacing the final answer.
A zero leading coefficient changes a quadratic into a different type of equation. Parallel or identical simultaneous equations do not have one unique intersection. A vertical line has no finite gradient because its change in x is zero. These are mathematical conditions, not software failures, and the validation message explains which assumption is missing.
Place a reported linear value into the original equation and calculate both sides. For simultaneous equations, test the ordered pair in both equations. For a quadratic, test every reported root. For a sequence, generate nearby terms and compare the pattern. Substitution is the quickest way to turn a calculator result into evidence.
Read the purpose before entering values. Each mode answers a different mathematical question and needs a different final check.
| Mode and full guide | Use it to | Check the result |
|---|---|---|
| Linear equationOpen calculator → | Solve an equation in the form ax + b = c. | Substitute x and confirm that the left side equals c. |
| Quadratic rootsOpen calculator → | Use the discriminant and quadratic formula for ax² + bx + c = 0. | Substitute each root and inspect whether the discriminant predicts two, one or complex roots. |
| SequencesOpen calculator → | Find a term and partial sum for arithmetic or geometric sequences. | Generate the preceding term and confirm the difference or ratio. |
| Simultaneous equationsOpen calculator → | Solve two linear equations in x and y when they have one intersection. | Test the ordered pair in both original equations. |
| Straight lineOpen calculator → | Find gradient, intercept and the rule through two non-vertical points. | Substitute both points into the final line equation. |
The term is not literally moved. The same quantity is added or subtracted on both sides, and the simplified result appears with the opposite sign. Writing the balancing operation prevents this useful shortcut from becoming an unexplained sign rule.
When the discriminant b² − 4ac is negative, the graph does not meet the real x-axis. The square root of a negative value introduces i. If complex numbers are outside the learner’s current course, record the condition and use an appropriate real-number interpretation.
Elimination is efficient when one pair of coefficients already match or can be made to match easily. Substitution is often clearer when one variable is already isolated. Both methods should produce the same ordered pair when a unique solution exists.
No. It solves the listed symbolic forms after the learner chooses a model. Define variables, write equations and check units first. If the final value is impossible in context, revisit the model even when the algebra is internally correct.
Next, check skills in the maths test; You can also compare Mathematics learning support; You can also practise arithmetic foundations.