Algebra Calculators

MiniWebtool’s Absolute Value Equation Solver separates an absolute-value equation into cases and works through the resulting solutions. The step-by-step algebra shows how the absolute-value conditions lead to each answer.

Understand when absolute-value conditions require AND or OR with MiniWebtool’s Absolute Value Inequality Solver. Choose the comparison and enter the expression and boundary value to obtain a solution with explanations of the cases.

Solve classic age word problems step by step with MiniWebtool’s Age Word Problem Solver: one person N years older than another, ratios in Y years, three-person age ratios and father-son puzzles. It sets up the algebra, solves the system, verifies it and draws a timeline.

Choose the form you need in MiniWebtool’s Algebraic Expression Simplifier: simplify an expression, expand products, factor terms, or combine like terms. Enter the algebraic expression and follow the steps behind the rewritten result.

MiniWebtool’s Binomial Theorem Expansion Calculator expands (a + b)ⁿ from the two terms and a nonnegative integer power. Worked coefficients and a Pascal’s triangle view explain how the terms arise.

Solve classic coin word problems step by step with MiniWebtool’s Coin Word Problem Solver: N coins totalling a given amount, twice as many quarters as dimes, three-coin mixtures with count relationships, and fewest coins to make an amount. Watch animated coin stacks.

Follow a quadratic’s transformation into a perfect-square expression with MiniWebtool’s Completing the Square Calculator. The algebraic steps lead to vertex form and roots, shown alongside a parabola with the vertex and solutions marked.

Find all roots of ax³ + bx² + cx + d = 0 in MiniWebtool’s Cubic Equation Solver. Coefficients lead to Cardano-method steps, discriminant analysis, and a graph showing how the polynomial relates to its roots.

MiniWebtool’s Descartes' Rule of Signs Calculator counts coefficient sign changes in f(x) and f(−x). Enter coefficients from highest degree downward to see possible counts of positive and negative real roots, rather than the roots themselves.

MiniWebtool’s Distance-Speed-Time Triangle Calculator solves the missing part of distance, speed, and time. Select the unknown and use the units or time notation you have; additional modes handle multi-leg averages and round trips.

Enter a function such as 1/(x-2), sqrt(x-3) or |x-2| in MiniWebtool’s Domain and Range Calculator to get its domain and range in interval notation, with steps and a graph. Paste several functions, one per line, to do a whole worksheet at once.

Multiply out an algebraic expression in MiniWebtool’s Expand Polynomials Calculator. Choose a method to follow distribution, binomial-power, or multinomial expansion steps, with diagrams that connect the expanded terms to the original factors.

MiniWebtool’s Exponential Equation Solver handles six structured forms where the unknown appears in an exponent. Select the form and parameters to see logarithmic or substitution steps, domain checks, and a graph of the solution.

Substituting one function inside another can give different answers depending on the order. MiniWebtool’s Function Composition Calculator finds both f(g(x)) and g(f(x)), showing the algebraic steps from your two expressions.

MiniWebtool’s Function Grapher plots up to three expressions on shared axes. Set the viewing ranges to compare curves and inspect detected intercepts and vertical asymptotes alongside the graph.

Check a function’s symmetry algebraically with MiniWebtool’s Function Odd Even Neither Checker. It compares f(−x) with f(x) and −f(x), presents a step-by-step classification, and supports the result with a symmetry graph and numerical checks.

MiniWebtool’s Inequality Solver finds solution sets for supported linear, quadratic, polynomial, and rational inequalities. Algebraic steps, interval notation, and a number-line display make boundaries and excluded values easier to inspect.

Reverse a function’s input-output relationship with MiniWebtool’s Inverse Function Calculator. The algebraic steps show how to interchange variables and solve for the inverse, helping you inspect the resulting expression and any relevant restrictions.

MiniWebtool’s Linear Equation Solver isolates the variable in a single-variable linear equation. Each algebraic manipulation is shown, and the answer is substituted back to verify that it satisfies the original equation.

Rearrange a formula without substituting numbers first. MiniWebtool’s Literal Equation Solver isolates your chosen variable in a multivariable equation and shows the algebraic steps used to express it in terms of the others.

Solve equations containing logarithms with MiniWebtool’s Logarithmic Equation Solver. It supports common, natural, and custom bases, showing algebraic steps and domain checks so candidate answers can be assessed against the original equation.

Solve concentration balances in MiniWebtool’s Mixture Problem Solver. Choose a blend, water dilution, pure-solute addition, or drain-and-replace scenario, then enter known amounts and concentrations to calculate the missing quantity.

Draw curves defined by radius and angle in MiniWebtool’s Polar Equation Plotter. Overlay up to three equations, adjust the range and resolution, and export PNG or SVG views of spirals, roses, and other polar shapes.

Recognize and apply common factoring patterns with MiniWebtool’s Polynomial Factoring Calculator. It shows factorization steps for supported expressions and verifies the result, connecting factors with patterns such as common factors, squares, and cubes.

MiniWebtool’s Polynomial Long Division Calculator divides one polynomial by another and displays each subtraction stage. The final quotient and remainder are accompanied by explanations of how leading terms determine the next quotient term.

Solve a fourth-degree equation with MiniWebtool’s Quartic Equation Solver. Ferrari-method working accompanies real and complex roots, factored form, and a graph for inspecting where the polynomial crosses the real axis.

Squaring a radical equation can introduce answers that fail the original equation. MiniWebtool’s Radical Equation Solver works through equations with square or cube roots and checks for these extraneous solutions.

Turn sqrt(50) into 5√2 and follow the factorization behind it with MiniWebtool’s Radical Simplifier. It handles square roots and higher-order radicals, with an option to rationalize the denominator.

Denominators matter when solving equations with rational expressions. MiniWebtool’s Rational Equation Solver clears fractions, solves the resulting equation, and checks candidate answers against excluded values, with steps and an accompanying graph.

Polynomial fractions need both algebra and domain restrictions. MiniWebtool’s Rational Expression Calculator simplifies expressions or combines two through arithmetic, showing factoring steps and values excluded by the denominators.

Separate possible roots from verified roots with MiniWebtool’s Rational Root Theorem Calculator. Integer polynomial coefficients produce a rational-candidate list, followed by testing and factoring steps that identify which candidates actually work.

Convert Ax + By = C with MiniWebtool’s Standard Form to Slope-Intercept Converter. Supply an equation or its coefficients to see the rearrangement, graph, and line properties, including cases that cannot use y = mx + b.

MiniWebtool’s Synthetic Division Calculator divides a polynomial by x − a using its coefficients. Follow the synthetic-division row to find the quotient and remainder without writing every polynomial term repeatedly.

Graph overlapping constraints with MiniWebtool’s System of Inequalities Grapher. Enter linear inequalities and an axis window to see each boundary and the shaded feasible region shared by the conditions.

MiniWebtool’s System of Linear Equations Solver finds solutions from entered coefficients using a selected method. Review the elimination, determinant, or matrix steps to see how the equations relate to the result.

Explore numerical solutions with MiniWebtool’s System of Nonlinear Equations Solver. Newton–Raphson iterations, the Jacobian, and convergence views explain the search; numerical searches may miss solutions or fail to converge.

Solve relative-motion exercises with MiniWebtool’s Train Meeting Problem Solver. Speeds, separation, head starts, and train lengths support head-on meetings, overtaking, and crossing scenarios with step-by-step working.

Explore a trig equation over a chosen interval with MiniWebtool’s Trigonometric Equation Solver. Enter the equation and bounds to see solution values, working, and graphical or unit-circle context for the result.

MiniWebtool’s Vertex and Axis of Symmetry Calculator finds a quadratic’s turning point and symmetry line. Enter the function to follow the algebra and view the maximum or minimum on a parabola diagram.

Solve shared-work scenarios with MiniWebtool’s Work Rate Problem Solver. Choose combined workers, a missing solo time, filling versus draining, alternating shifts, or a delayed start to follow the rate-based solution.

Find axis crossings with MiniWebtool’s X and Y Intercept Calculator. Enter an equation to see x-intercepts and the y-intercept, with algebraic steps and a diagram placing the points on the graph.