# Shared Flashcard Set

## Details

Algebra II
Single Variable Linear Models
11
Mathematics
07/17/2010

Term
 Associative Property
Definition
 The order in which three or more real numbers are added or multiplied can be grouped in any fashion giving the same result.   (a+b)+c = a+(b+c) or (ab)c= a(bc)
Term
 Distributive Property
Definition
 When multiplying a term by a quantity containing a sum of two or more terms, each item in the sum must be multiplied by the outside term. a(b+c) = ab+ac
Term
 Identity Property of Addition and Multiplication
Definition
 In addition, adding zero yields the identity of the original number. In multiplication, multiplying by 1 yields the identity of the original number   a+0 = a     or     a(1) = a
Term
 Opposite
Definition
 A number with the same distance from zero. Opposites are considered additive inverses.   a and -a are opposites and additive inverses
Term
Definition
 two numbers who have a sum of zero. Additive inverses are opposites.     a+ (-a) = 0
Term
 Multiplicative Inverse
Definition
 two numbers that when multiplied yield a result of 1. These are also called reciprocals.   (a/b)(b/a) = 1        or        a(1/a) = 1
Term
 reciprocal
Definition
 two numbers whose product is 1.     a/b and b/a ; a and 1/a are reciprocals
Term
 Commutative Property
Definition
 The order in which two real numbers are added or multiplied gives the same result.     a+b=b+a       or        a(b) = b(a)
Term
 Absolute Value
Definition
 The distance a number is away from zero.     |-a|= a or |a| = a
Term
 inequality
Definition
 A mathematical statement that two quantities are greater, less, greater than or equal to, or less than than or equal to each other.   a > 5 or a < -3
Term
 Equation
Definition
 A mathematical statement in which two quantities are expressed as equals.   a + 4 = 3
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