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# Algebra Terms

## Get down with the lingo

The number that when added to the given number results in the additive identity 0. The additive inverse of x is -x, as x + (-x) = 0.

### Algebraic Expressions

An expression that contains one or more terms and operations to combine them. Each term contains variable(s), constant(s), or a product of variables and
constants.

### Binomial

A polynomial with two terms.

### Constant

A value that does not change. Stay gold, Ponyconstant!

### Descending Order

Arranging from high to low in value.

### Degree Of A Polynomial

The exponent of a term. The highest degree is the degree of a polynomial.

### Dependent Variables

A variable in a function that changes due to the independent variable.

### Distributive Property

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

### Equations

An expression that states the equation of two algebraic expressions.

### Equivalent Equations

Two different pairs of 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

The largest positive integer that evenly divides (with 0 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 Variables

Variables in a function that assume values freely or independently.

### Inequality

A relation between two unequal algebraic expressions using the symbols <, >, ≤, and ≥.

### Irrational

Any real number that cannot 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 that have the same variables raised to the same exponent. Like terms may have different coefficients.

### Monomial

A polynomial with one term.

### Multivariable Polynomials

Polynomial with more than one variable.

### Polynomial

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

A polynomial of degree 2.

### Solution

The value(s) of variable(s) that satisfy an equation or inequality.

### Trinomial

A polynomial with three terms.

### Variable

A value that changes. Variables are commonly represented by the letters xy or z.