This calculator solves many algebra problems with steps shown. Finds slopes, line equations, completes the square, performs synthetic division, partial fraction decomposition, operations on fractions and polynomials, handles arithmetic/geometric sequences, and many more.

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Use the Algebra Calculator for your algebra problems. Visit this intuitive online tool to get answers with detailed explanations. From finding GCD and LCM to solving quadratic equations and performing polynomial long division, it can handle many algebra problems with ease.

## How to use the Algebra Calculator?

### Select a Calculator

Depending on your specific algebra problem, choose the relevant calculator from our extensive collection. We offer various calculators covering various topics.

### Input Your Data

Once you've selected the appropriate calculator, enter the data into the appropriate fields.

### Calculation

After inputting all the available data, click the "Calculate" button to initiate the calculation process.

### Result

Our Algebra Calculator will quickly process your input and display the solution.

## What Is Algebra?

Algebra is a branch of mathematics that studies the general properties of operations on different values and the solution of equations associated with these operations. This branch of mathematics can be described as a generalization and extension of arithmetic. In this section, numbers and other mathematical objects are marked with letters and other symbols so that their properties can be written and explored in a very general way.

## What Categories Does Algebra Typically Cover as a Branch of Mathematics?

Algebra is a fundamental branch of mathematics that covers a variety of topics and concepts. Some typical categories in algebra include:

**Elementary Algebra:**This is the basic form of algebra taught in middle and high schools. It involves solving equations, working with inequalities, and manipulating algebraic expressions.**Abstract Algebra:**Abstract algebra is a more advanced branch with algebraic structures such as groups, rings, fields, and vector spaces. It explores the properties and relationships of these structures.**Linear Algebra:**Linear algebra focuses on vector spaces and linear transformations. It includes matrices, determinants, vector spaces, eigenvalues, and eigenvectors. Linear algebra has many practical applications in physics, computer graphics, and engineering.**Algebraic Geometry:**This category combines algebra and geometry to study solutions to polynomial equations. It has applications in areas such as cryptography and robotics.**Universal Algebra:**Universal algebra generalizes various algebraic structures and studies their common properties and operations.

## What Calculators Does eMathHelp Offer?

### Arithmetic Sequence Calculator

Easily find the nth term and the sum of an arithmetic sequence with this intuitive calculator.

### Complete the Square Calculator

Master quadratic expressions.

### Cube Root Calculator

Quickly calculate the cube root of any number.

### Decimal to Fraction Calculator

Convert decimals into fractions in a snap, making it easier to work with fractions.

### Decimal to Percent Calculator

Easily convert decimals to percents and vice versa for different algebra tasks.

### Descartes' Rule of Signs Calculator

Determine the number of positive and negative roots of a polynomial equation using Descartes' Rule of Signs.

### Direct, Inverse, and Joint Variation Calculator

Explore the relationships between variables in direct, inverse, and joint variation equations.

### Discriminant Calculator

Find the discriminant of a quadratic equation to determine the nature of its roots.

### Divide Polynomials Calculator

Divide polynomials step by step.

### Factor Polynomial Calculator

Factorize polynomials into their irreducible components, making algebraic manipulations simpler.

### FOIL Calculator

Perform the FOIL (first, outer, inner, last) method for multiplying binomials.

### Fraction to Decimal Calculator

Efficiently convert fractions to decimals.

### Fraction to Percent Calculator

Convert fractions into percents and vice versa.

### Geometric Sequence Calculator

Find the nth term and the sum of a geometric sequence using this calculator.

### Graphing Calculator

Visualize functions and equations to make them easier to analyze.

### Greatest Common Divisor (GCD) Calculator

Quickly compute the GCD of two or more numbers.

### Improper Fraction to Mixed Number Calculator

Convert improper fractions into mixed numbers.

### Least Common Multiple (LCM) Calculator

Determine the least common multiple of two or more numbers with ease.

### Line Equation Calculator

Calculate the equation of a line using two points on the line.

### Line Slope Calculator

Find the slope of a line given two points.

### Long Division of Numbers Calculator

Perform long division of numbers with step-by-step guidance.

### Mixed Number to Improper Fraction Calculator

Convert mixed numbers into improper fractions.

### Multiply Polynomials Calculator

Multiply polynomials with ease, simplifying complex expressions.

### Operations on Fractions Calculator

Perform addition, subtraction, multiplication, and division of fractions with ease.

### Operations on Polynomials Calculator

Simplify polynomial expressions by performing operations like addition, subtraction, multiplication, and division.

### Order of Operations (PEMDAS) Calculator

Follow the correct order of operations (parentheses, exponents, multiplication, division, addition, subtraction) in algebraic expressions.

### Parallel/Perpendicular Line Calculator

Find parallel and perpendicular lines passing through a given point.

### Percent to Decimal Calculator

Effortlessly convert percents into decimal values.

### Percent to Fraction Calculator

Convert percents into fractions.

### Polynomial Long Division Calculator

Divide polynomials using long division with a step-by-step guide.

### Prime Factorization Calculator

Find the prime factorization of an integer.

### Rational Zeros Theorem Calculator

Find the rational roots of a polynomial equation with the Rational Zeros Theorem.

### Remainder Theorem Calculator

Calculate the remainder when dividing a polynomial by a binomial using the remainder theorem.

### Scientific Notation Calculator

Convert numbers into scientific notation to simplify further calculations.

### Slope Intercept Form with Two Points Calculator

Determine the equation of a line in slope-intercept form using two given points.

### Solve Quadratic Equation Calculator

Solve quadratic equations using different methods with step-by-step instructions.

### Square Root Calculator

Compute square roots quickly and accurately.

### Synthetic Division Calculator

Divide polynomials by binomials using synthetic division.

### FAQ

#### What are the basics of algebra?

Algebra is a branch of mathematics that studies symbols, variables, and equations. It covers fundamental concepts such as variables, equations, expressions, and functions. Algebraic operations include addition, subtraction, multiplication, division, and exponentiation.

#### How do you solve algebraic expressions?

Solving algebraic expressions involves simplifying or finding the values of variables or expressions in equations. You can do this by systematically applying algebraic operations to isolate the variable on one side of the equation. Our Algebra Calculator can help you with this process.

#### What types of algebraic problems can the calculator handle?

Our Algebra Calculator can handle a wide range of algebraic problems, including solving equations, factoring polynomials, simplifying expressions, working with functions, and much more. It is a versatile tool for various algebra problems.

#### Can the Algebra Calculator help with learning algebra?

Absolutely! The Algebra Calculator not only provides solutions but also provides explanations for many problems. It can be a valuable study tool to help you understand various algebraic concepts and improve your problem-solving skills.