# Algebra Terms

Get down with the lingo

### Complex Rational Expression

The result when a rational expression is divided by a nonzero rational expression.

### Denominator

### Distributive Property

Multiplication of numbers that distributes over addition and subtraction: a(b ± c) = ab ± ac.

### Equation

An expression that states the equivalence of two algebraic expressions.

### Equivalent Equations

Different equations that have the same solution(s).

### Factoring

Breaking up an algebraic expression into two or more expressions that can be multiplied together to get the original expression.

### Greatest Common Factor (GCF)

The largest positive integer that evenly divides (with zero remainder) two or more nonzero numbers. It is also known as the **greatest common divisor** or **highest common factor**. For example, the **GCF** of 18 and 24 is 6.

### Independent Variable

Variable in a function that assumes a value freely or independently.

### Inequality

A relation between two algebraic expressions that aren't equal. It uses the symbols >, <, ≤, and ≥.

### Irrational

Any real number that can't be expressed as a fraction \frac{p}{q}, *q* ≠ 0. Irrational numbers do not have a finite or repeating decimal representation. For example, \sqrt{2}, π, and *e* are irrational numbers.

### Like Terms

Two terms with the same variables raised to the same exponent. Like terms may have different coefficients.

### Monomial

A polynomial with one term.

### Multivariable Polynomial

A polynomial with more than one variable.

### Numerator

The top part of a fraction. "I'll be back... on top of the denominator." - Numerator II: Judgment Day

### Polynomial

An algebraic expression constructed from variables and constants using addition subtraction, multiplication, and positive integer exponents.

### Quadratic Polynomial

A polynomial of degree two.

### Rational Expression

The expression that results when a polynomial is divided by a nonzero polynomial

### Solution

The value of a variable that satisfies an equation or inequality.

### Trinomial

A polynomial with three terms.

### Variable

A value that changes. Variables are commonly represented by the letters *x*, *y*, or *z*.