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Variable

A symbol used to represent one or more numbers.

Values of the Variable

What the variable means.

variable expression

An expression that contains a variable.

Numerical Expression/Numeral

An expression that names a particular number.

Value of the Expression

The number named by a numerical expression.

Simplifying the Expression

Replacing a numerical expression by the simplest name for its value.

Grouping Symbol

A device, such as parentheses, used to enclose an expression that should be simplified first.

Equation

Formed by placing an equals sign between two numerical or variable expressions.

Open Sentences

Sentences containing variables.

Domain

The given set of numbers that a variable may represent.

Solution/Root

Any value of a variable that turns an open an open sentence into a true statement.

solution set

The set of all solutions of an open sentence.

Addition

Increased, sum, more than, plus, and, add to, increase, total, together, more, with.

Subtraction

Less, take away, difference, minus, decrease, less than, subtract from.

Multiplication

By, of, square area, twice, volume, product, cubed, circumference, times, multiply by.

Division

Numerator, divided by, quotient, square root, by, goes into, ratio, fraction, over, denominator.

PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

No Solution

{} Null set.

solve

Means you must put {} Braces.

Evaluate or Simplify

No {} Braces.

origin

Point labeled zero.

Whole Numbers

Consists of zero and all positive numbers.

Integers

Tick marks on a number line.

real numbers

Consists of any number that is positive, zero, and negative.

Inequality Symbols

They are used to show the order of two real numbers.

opposites

Each number has a pair such as 4 and -4.

absolute value

The positive number of any pair of opposite non-zero real numbers.

real numbers

Include all positive and negative numbers and zero such as positive and negative fractions, decimals, and rational and irrational numbers.

Rational numbers

Any number that can be written as a fraction.

Irrational Numbers

Any positive or negative non-repeating or non-terminating decimal, such as pie or the square root of 2 which cannot be written as a fraction.

Integers

Positive and negative whole numbers and zero.

Variable

A letter that can be replaced by a number.

Coefficient

a number multiplied by a variable or variables.

term

numbers or variables separated by + or -- signs.

constant

A term that does not have a variable.

numerical expression

Two or more terms using only constants (numbers).

algebraic expression

Two or more terms that include one or more variables.

Sentence

Two algebraic expressions connected by =, not equal to, <, >,

Equation

A sentence with an equal sign.

inequality

A sentence with one of the following signs: not equal to, <, >,

Base

The number used as a factor.

exponent

The number of times the base is multiplied by itself.