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Arithmetic Operation
Addition, subtraction, multiplication and division

Expression
A collection of numbers, operation signs and inclusion symbols that stand for a number

Evaluating
To evaluate an expression means to find the number for which the expression stands for

Variable
A letter that represents a number

Substituting
Replace a variable with a constant

Equation
A sentance which says that one expression is equal to another expression

Solution
A number you can substitute for the variable that makes the sentance true

Transforming an Equation
Do the same operation to each member of the equation

Additive Inverses, or Opposites
Two numbers are if their sum equals zero

Positive Number
Greater than zero

Negative Numbers
Less than zero

Integers
Numbers that do not include the fractions in between them (3, 2, 1, 0, 1, 2, 3)

Real Numbers
All numbers on the number line, filling the entire line, leaving no gaps

Subtraction
Adding its opposite

Multiplicative Inverse, or Reciprocal
Two nonzero numbers are if their product equals 1

Commute
Interchange two numbers positions

Associate
Group two numbers in an expression with a parentheses so that the operation between them is done first

Property
A fact that is true concerning a mathematical system

Axiom
A property that forms the basis of a mathematical system, it is true without proof

Distributive Axiom
x (y + z) = xy + xz

Multiplication Distributes Over Subtraction (Property)
x (y  z) = xy  xz

Like Terms
Two terms with the same variables raised to the same powers

Numerical Coefficient
The constant that is multiplied by the variables

Common Factor
A factor of each term in the expression

Commutative Axiom for Addition
x + y = y + x

Commutative Axiom for Multiplication
xy = yx

Associative Axiom for Addition
(x + y) + z = x + (y + z)

Associative Axiom for Multiplication
(xy)z = x(yz)

Distributive Axiom for Multiplication Over Addition
x(y + z) = xy + xz

Additive Identity Axiom
x + 0 = x

Multiplicative Identity Axiom
x(1) = x

Additive Inverse Axiom
x + (x) = 0

Multiplicative Inverse Axiom
x(1/x) = 1

Multiplication Property of 1
1(x) = x

Multiplication Property of 0
0(x) = 0

Transitive Axiom of Equality
If x = y and y = z, then x = z

Symmetric Axiom of Equality
If x = y, then y = x

Reflexive Axiom of Equality
x = x

Addition Property of Equality
If x = y, then x + z = y + z

Multiplication Property of Equality
If x = y, then xz = yz

Identity
An equation that is true for all values of the variable

Conditional Equation
One that is true for some values of the variable and not for other values of the variable

Polynomial
An expression that has no operations other than addition, subtraction, and multiplication by or of the variable(s)

Degree
(Of a polynomial with one variable) is the exponent of the highest power of that variable

Factoring a Polynomial
Transform a polynomial to a product of two or more factors

Prime Polynomial
A polynomial whose onlu factors are 1 and the polynomial itself

Conjugate Binomial
Binomials that are the same except for the sign between the terms

Difference of Two Squares
A(squared)  b(squared = (a +b)(ab)

Square Root
(Square Root of N)(Squared) = n

Rational Number
Number that can be written as a ratio of two integers

Irrational Number
A real number that can't be written as a ration of two integers

Closure Under Multiplication
If x and y are any real numbers, then xy is a unique real number

Closure Under Addition
If x and y are any real numbers, then x + y is a unique reak number

Closure
 A set of numbers is closed under an operation if there is just one answer, and the answer is in the given set
 That is,
 (number in set)(operation)(number in set)
 = (unique number in set)

Quadrative Formula
x equals the opposite of b, plus or minus the square root of the quantity b squared minus 4ac, all divided by 2a

Absolute Value
The number itself or the opposite of the number, whichever is positive

Solving an Equation
Writing a solution set

Square Root Property of Equality
 If two positve numbers are equal, then their positive square roots are equal
 if a = b, then ( a = ( b

Square Root of a Perfect Square
( ( number)2 = number

Verticle Motion Formula
d = rt  5t2

Discriminant
the expression b2  4ac

