Algebra Calculator

This free Algebra Calculator solves equations and simplifies expressions quickly.

x =

Calculation Result

x = 2

Solution Steps:

1. 2x + 3 = 7
2. 2x = 7 - 3
3. 2x = 4
4. x = 4 ÷ 2
5. x = 2
Expression Type
Linear Equation
Variables
x
Degree
1
Solution Count
1

Quick Calculations

Calculation History

Date Expression Result

How Algebra Calculator Works

Easily solve your algebra problems online! Our free Algebra Calculator allows you to solve equations and simplify expressions step by step. For example, you can enter any algebraic question and see the solution instantly with clear explanations.

In addition, this tool supports linear, quadratic, and polynomial equations, helping you find unknown variables within seconds. Moreover, it is very easy to use — just type your problem, click “Solve”, and get the result right away.

As a result, students and teachers can save time and understand algebra more effectively. Furthermore, using this calculator regularly improves your problem-solving skills. So, try it today and make algebra learning faster and simpler!

Why Use an Algebra Calculator?

An algebra calculator helps you:

  • Solve complex algebraic equations quickly
  • Verify your manual calculations
  • Learn step-by-step solutions to algebraic problems
  • Simplify complex algebraic expressions
  • Factor polynomials and expand expressions

Algebra Topics Covered

Linear Equations

  • One variable equations
  • Simple linear equations
  • Equations with fractions
  • Word problems

Quadratic Equations

  • Standard form equations
  • Factoring method
  • Quadratic formula
  • Completing the square

Polynomials

  • Polynomial operations
  • Factoring polynomials
  • Polynomial division
  • Roots of polynomials

Algebraic Expressions

  • Simplification
  • Expansion
  • Factorization
  • Evaluation

Common Algebraic Operations

This calculator performs various algebraic operations:

  • Solving Equations: Finds values of variables that satisfy the equation
  • Simplification: Reduces expressions to their simplest form
  • Expansion: Expands expressions by multiplying out parentheses
  • Factoring: Factors expressions into simpler multiplicative components
  • Evaluation: Computes the value of expressions for given variable values

Algebra Rules and Properties

The calculator applies fundamental algebraic properties:

  • Commutative Property: a + b = b + a, a × b = b × a
  • Associative Property: (a + b) + c = a + (b + c), (a × b) × c = a × (b × c)
  • Distributive Property: a × (b + c) = a × b + a × c
  • Identity Properties: a + 0 = a, a × 1 = a
  • Inverse Properties: a + (-a) = 0, a × (1/a) = 1 (a ≠ 0)

Tips for Using the Algebra Calculator

  • Use parentheses to clearly indicate order of operations
  • Specify multiplication with * symbol (e.g., 2*x instead of 2x)
  • Use ^ for exponents (e.g., x^2 for x squared)
  • For equations, use = to separate left and right sides
  • Check the solution steps to understand the solving process

Limitations of Algebra Calculators

While algebra calculators are powerful tools, they have limitations:

  • May not handle extremely complex symbolic manipulations
  • Some problems require human intuition and creative problem-solving
  • Context-specific problems (word problems) may need interpretation
  • Some advanced algebraic concepts may be beyond the calculator's capabilities