# Word Problems Terms

## Get down with the lingo

### Additive Inverse

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.### Coefficient

A number or a constant multiplied by a term in an algebraic expression. Coefficients always go first. Or is that "ladies"…?### Constant

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

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

The rule where multiplication of numbers distributes over addition and subtraction:*a*(

*b*±

*c*) =

*ab*±

*ac*. Start distributin' the news.

### 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.### Independent Variables

Variables in a function that assume values freely or independently.### Inequality

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

Two terms that have the same variables raised to the same exponent. Like terms may have different coefficients.### Quadruple

Four times a number.### Solution

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

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

*y*, or

*z*.

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