Algebra Calculator
Instantly solve linear and quadratic equations, inequalities, systems, polynomials, and algebraic fractions step-by-step with clear working and rules.
Algebra Calculators
19 calculators
Related topics
Complex Number Calculator
Instantly add, subtract, multiply, divide, and convert complex numbers between rectangular ($a + bi / a + bj$) and polar ($r \angle \theta$) forms with step-by-step solutions.
Equation Solver
Solve linear, quadratic, polynomial, radical, and absolute value equations step-by-step, check extraneous solutions, and find roots instantly with this free online Equation Solver.
Factoring Calculator
Break down any polynomial, trinomial, or number into its simplest factors step-by-step with this free online Factoring Calculator.
Graphing Calculator
Instantly plot functions, inequalities, parametric & polar equations step-by-step with interactive trace, table of values, and window adjustments.
Inequality Calculator
Solve linear, compound, quadratic, rational, and absolute value inequalities step-by-step, get interval notation, and number line graphs with this free online Inequality Calculator.
Linear Equation Calculator
Solve any linear equation step-by-step with fractions, decimals, or negative numbers, and visualize the line with this free Linear Equation Calculator
Linear Regression Calculator
Instantly calculate simple linear regression equations ($Y = mX + b$), slope, $Y$-intercept, $R^2$ coefficient of determination, prediction intervals, and scatter plots from paired $X, Y$ data.
Matrix Calculator
Instantly add, subtract, multiply, transpose, and solve matrix determinants or inverses step-by-step with real-time grid adjustments and dimension checks.
Point-Slope Form Calculator
Instantly calculate point-slope equations ($y - y_1 = m(x - x_1)$), slope-intercept form ($y = mx + b$), and standard form ($Ax + By = C$) from a point and slope or two points.
Polynomial Calculator
Add, subtract, multiply, divide, and factor polynomials step-by-step, or find real and complex roots instantly with this free online Polynomial Calculator.
Prime Factorization Calculator
Instantly find the prime factorization of any whole number step-by-step with exponent forms, factor trees, division ladder steps, and GCF/LCM applications.
Quadratic Equation Solver
Solve any quadratic equation instantly with this free quadratic formula calculator, returning real or complex roots along with complete step-by-step solutions.
Simplify Calculator
Instantly simplify fractions, radicals, algebraic terms, and rational expressions step-by-step using GCF reduction, factoring, and exponent rules.
Simultaneous Equation Solver
Solve linear and non-linear simultaneous equations step-by-step using substitution, elimination, or matrix methods with this free online solver.
Slope Calculator
Instantly calculate line slope ($m$), rise over run, angle in degrees, percentage slope, parallel/perpendicular slopes, and $y$-intercept from two coordinate points or linear equations.
Standard Form to Vertex Form Calculator
Instantly convert quadratic equations from standard form ($ax^2 + bx + c$) to vertex form ($a(x - h)^2 + k$) step-by-step with vertex $(h, k)$ coordinates, axis of symmetry, and parabolic graph plots.
System of Equations Calculator
Solve linear and non-linear systems of equations step-by-step using substitution, elimination, or matrix methods with this free online calculator.
Vertex of a Parabola Calculator
Instantly calculate parabola vertex (h, k) coordinates, axis of symmetry, min/max values, focus, directrix, and step-by-step standard to vertex form conversions.
About Algebra Calculators
Algebra calculators solve equations and expressions that contain one or more unknown variables. The tool takes the known coefficients or values in an equation and applies algebraic rules to isolate and solve for the unknown. Algebra calculators cover equation types including linear equations, quadratic equations, systems of equations, and inequalities.
What Does an Algebra Calculator Do?
An algebra calculator takes an equation or expression as input and solves for the unknown variable. The user enters the known coefficients, and the calculator applies the correct algebraic method to return the value of the variable, or the full set of values if multiple solutions exist.
How Does an Algebra Calculator Work?
An algebra calculator works by identifying the equation type first, then applying the solving method specific to that type.
What Is a Linear Equation?
A linear equation is an equation in which the variable appears only to the first power, written in the form ax + b = c. Solving it involves isolating x through addition, subtraction, multiplication, or division on both sides.
What Is a Quadratic Equation?
A quadratic equation is an equation in which the variable is raised to the second power, written in the form ax² + bx + c = 0. It is solved using the quadratic formula, factoring, or completing the square, and can produce up to two solutions.
What Are the Main Types of Algebra Calculators?
There are several main types of algebra calculators, based on the equation structure they solve.
Linear equation calculators solve single-variable equations with no exponents.
Quadratic equation calculators solve equations where the variable is squared.
System of equations calculators solve two or more equations simultaneously to find values that satisfy all of them.
Inequality calculators solve expressions using greater-than or less-than relationships instead of equals signs.
Polynomial calculators solve or simplify expressions with multiple terms and higher-degree variables.