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Algebra Terms Short List
Algebra Terms students have the most trouble with
71
Mathematics
Undergraduate 1
08/08/2009

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Term
Absolute Value of A Number
Definition

The distance of the number

from zero on the number line.

Term
Additive Inverses
Definition

Numbers that are the same distance

from zero on the number line,

but not opposite sides;

also called opposites.

Term
Binomial
Definition
A polynomial of two terms.
Term
Binomial Factor
Definition
A factor that has two terms.
Term
Coefficient
Definition
The number part of a variable term.
Term
Combining Like Terms
Definition

Using the Distributive Property to add

the coefficients of like variable terms;

adding like terms of variable expressions.

Term
Consecutive Even Integers
Definition
Even integers that follow one another in order.
Term
Consecutive Integers
Definition
Integers that follow one another in order.
Term
Consecutive Odd Integers
Definition
Odd integers that follow one another in order.
Term
Constant Term
Definition

A term that includes no variable part;

also called a constant.

Term
Dependent Variable
Definition

In a funtion, the variable whose value depends on the value of another variable known

as the independent variable.

Term
Equation
Definition

A statement of the equality

of two mathematical expressions.

Term
Equivalent Equations
Definition
Equations that have the same solution.
Term
Evaluating A Variable Expression
Definition

Replacing each variable by its

value and then simplifying the

resulting numerical expression.

Term
Factor Completely
Definition

Refers to writing a polynomial as a product

of factors that are nonfactorable over the intergers.

Term
Factor of A Number
Definition
In multiplication, a number being multiplied.
Term
Factor A Polynomial
Definition

To write the polynomial as a product

of other polynomials.

Term
First-degree equation In Two Variables
Definition

An equation of the form y=mx+b, where m

is the coefficient and b is a constance;

also called a linear equation in two variables

Term
Formula
Definition

A literal equation

that states rules about measurements.

Term
Function
Definition

A relation in which no two ordered pairs

that have the same first coordinate

have different second coordinates.

Term
Graph A Point In the Plane
Definition

To place a dot at the location given

by the ordered pair;

also called plotting a point in the plane.

Term
Graph of an Ordered Pair
Definition

The dot drawn at the coordinants

of the point in a plane.

Term
Greater Than
Definition
A number a is greater thananother number b, written a > b on the number line.
Term
Greatest Common Factor (GCF)
Definition

The greatest common factor of two or more integers is the GCF of the coefficients

and the common variable factors.

Term
Independent Variable
Definition

In a function, the variable that varies independently and whose value determines the value

of the dependent variable.

Term
Inequality
Definition

An expression that contains the symbol

>, <, ≥ (is greater than or equal to),

or ≤ (is less than or equal to).

Term
Integers
Definition
The numbers {..., -3, -2, -1, 0, 1, 2 , 3, ...}
Term
Irrational Number
Definition

The decimal representation of an irrational number never repeats or terminates

and can only be approximated.

Term
Least Common Denominator (LCD)
Definition

The smallest number that is a multiple of each

denominator in question.

Term
Least Common Multiple (LCM)
Definition

The LCM of two or more numbers is the smallest

number that contains the prime factorizations of each number.

Term
Less Than
Definition

A number a is less than another number b,

written a < b on the number line.

Term
Like Terms
Definition

Terms of a variable expression

that have the same variable part.

Term
Monomial
Definition

A number, a variable, or a product of numbers

and variables; a polynomial of one term.

Term
Multiplicative Inverse
Definition
The reciprocal of a number.
Term
Natural Numbers
Definition
The numbers {1, 2, 3, ...}
Term
Negative Slope
Definition

A property of a line that

slants downward to the right.

Term
Nonfactorable Over the Intergers
Definition

A polynomial that does

not factor using only intergers.

Term
Numerical Coefficient
Definition

The numerical part of a

variable term. When the

numerical coefficient is 1

or -1, the 1 is usually not written.

Term
Opposite of A Polynomial
Definition

The polonomial created when

the sign of each term of the

original polynomial is changed.

Term
Ordered Pair
Definition

Pair of numbers of the form

that can be used to identify

a point in the plane determined

by the axes ofa rectangular

coordinate system.

Term
Order of Operations Agreement
Definition

A set of rules that tell us in what order

to perform the operations

that occur in a numerical expression.

Term
Perfect-Square Trinomial
Definition

A trinomial that is a product

of a binomial and itself.

Term
Polynomial
Definition

A variable expression in which

the terms are monomials.

Term
Prime Factorization
Definition

Expressing a number as a product

of prime numbers.

Term
Prime Number
Definition
Number whose only factors are 1 and the number.
Term
Prime Polynomial
Definition

A polynomial that is nonfactorable

over the integers.

Term
Pythagorean Theorem
Definition

The square of the hypotenuse of a right triangle

is equal to the sum of the squares of the two legs.

Term
Ratio
Definition

The quotient of two quatities

that have the same unit.

Term
Rational Expression
Definition

A fraction in which the numerator

or denominator is a polynomial.

Term
Rational Number
Definition

A number that can be written in the form of a/b, where a and b are integers

and b is not equal to zero.

Term
Real Numbers
Definition
The rational numbers and the irrational numbers.
Term
Reciprocal of A Fraction
Definition

Fraction that results when the numerator

and the denominator of a fraction are interchanged.

Term
Relation
Definition
Any set of ordered pairs.
Term
Set
Definition
A collection of objects.
Term
Slope
Definition

The measure of the slant of a line.

The symbol for slope is m.

Term
Slope-intercept Form
Definition

The slope-intercept form of an equation

of a straight line is y=mx+b.

Term
Solution of an equation
Definition
A number that, when substituted for the variable, results in a true equation.
Term
Solution of an equation in two variables
Definition
An ordered pair whose coordinates make the equation a true statement.
Term
Solution Set of an Inequality
Definition

A set of numbers, each element of which,

when substitued for the variable,

results in a true inequality.

Term
Solving an Equation
Definition
Finding a solution of the equation
Term
Terms of A Variable Expression
Definition
The addends of the expression.
Term
Trinomial
Definition
A polynomial of three terms.
Term
Undefined Slope
Definition
A property of a vertical line.
Term
Value of a Variable
Definition
The number assigned to the variable.
Term
Variable
Definition
A letter of the alphabet used to stand for a number that is unknown or that can change.
Term
Variable Expression
Definition
An expression that contains one or more variables.
Term
Variable Part
Definition

In a variable term, the variable or variables

and their exponents.

Term
Variable Term
Definition

A term composed of a numerical coefficient

and a variable part.

Term
x-intercept
Definition
The point at which a graph crosses the x-axis.
Term
y-intercept
Definition
The point at which a graph crosses the y-axis.
Term
Zero Slope
Definition
A property of a horizontal line.
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