Algebra Calculator

  • Percent to Decimal & Fraction Calculator
    Convert any percentage to its decimal value and a reduced (simplified) fraction instantly. Free, accurate percent-to-decimal and percent-to-fraction tool.
  • Mixture Problem Calculator
    Solve mixture and concentration blending problems. Combine two solutions of different strengths and find the final concentration, total volume, and solute.
  • Completing the Square / Vertex Calculator
    Find the vertex, minimum or maximum of a quadratic ax^2 + bx + c. Computes vertex x = -b/(2a) and the extreme value c - b^2/(4a) instantly.
  • Quadratic Factoring Calculator
    Factor any quadratic ax²+bx+c into binomial form a(x−r₁)(x−r₂). Enter a, b, c to get the roots, discriminant, and factored expression instantly.
  • Solve for a Variable (Formula Rearranger)
    Solve any linear equation of the form a·x + b = c·x + d for x. Handles unique solutions, identities (all values), and no-solution cases instantly.
  • Simplify Square Root to Radical Form Calculator
    Simplify any square root into simplest radical form a√b. Enter a number to get the coefficient, radicand, and decimal value instantly.
  • Convert Between Radical and Exponential Form
    Convert exponential form to radical form (and back) and evaluate x^(m/n). Enter base, numerator and denominator to get the nth root of x^m instantly.
  • Linear Equation from a Table of Values Calculator
    Find the linear equation y = mx + b from two points in a table of values. Computes slope and y-intercept instantly with steps.
  • Percent Proportion Solver for X
    Solve the percent proportion part/whole = percent/100 for any unknown. Find the part, the whole, or the percent instantly with steps.
  • Completing the Square: Circle Equation Calculator
    Convert a general circle equation x²+y²+Dx+Ey+F=0 to standard form. Find the center and radius instantly by completing the square.
  • Linear System of 3 Unknowns Solver
    Solve a system of 3 linear equations in 3 unknowns (x, y, z) by Gauss-Jordan elimination. Shows the unique solution and the reduced row echelon form.
  • Quadratic Function Analyzer Calculator
    Analyze any quadratic ax²+bx+c: find the vertex, axis of symmetry, real roots, discriminant, and y-intercept instantly with steps.
  • Square Root of a Negative Number Calculator
    Simplify the square root of a negative number into i·√n form. Enter any number to get the imaginary coefficient instantly with steps.
  • Quadratic Equation Calculator
    Solve any quadratic equation ax²+bx+c=0 instantly. Get real or complex roots and the discriminant using the quadratic formula. Free and accurate.
  • Power Set Calculator
    Compute the power set of any set: get the number of subsets (2^n) and a full list of every subset, including the empty set, instantly.
  • 3D Line Equation From Two Points Calculator
    Find the parametric and symmetric equation of a line in 3D from two points. Get the direction vector, components, and distance instantly.
  • Is-Of Percentage Proportion Calculator
    Solve the percentage proportion is/of = %/100 for any missing value. Enter any two of is, of, or percent and get the third instantly.
  • Binomial Probability Calculator
    Calculate binomial probability P(X=k) with the formula C(n,k)·pᵏ·(1−p)^(n−k). Get exact, cumulative probabilities, mean and standard deviation.
  • Present & Future Value Algebra Calculator
    Solve for present value or future value using FV = PV(1+r)ⁿ. Enter amount, rate per period, and number of periods to get instant results.
  • Scale Factor Calculator for Similar Figures
    Find the scale factor between similar figures, or solve for a missing dimension. Uses k = new ÷ original and new = k × original with area factor k².
  • Solve for Missing Value to Reach a Target Average
    Find the missing value(s) you need to hit a target average. Enter your known numbers, total count, and goal average to solve instantly.
  • Three Numbers in a Ratio Calculator
    Split a total into three parts using a ratio a:b:c. Free share splitter that divides any amount proportionally with a worked example and formula.
  • De Moivre Theorem Calculator
    Raise any complex number a + bi to a power n using De Moivre theorem. Get the polar and rectangular form, modulus, and argument instantly.
  • Factor Difference of Cubes Calculator
    Factor a difference of cubes a³−b³ into (a−b)(a²+ab+b²). Enter a and b to get the factored form, each term, and the numeric value instantly.

Categories