# Word Problems

# Algebra 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 andconstants.

### Binomial

A polynomial with two terms.### 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!### 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.### Quadratic Polynomials

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*x*,

*y*or

*z*.

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