Chapter 1 Vocabulary

27 terms

algebraic expression

an expression that contains addition, subtraction, multiplication or division

variables

a letter used to represent a number

difference

a quantity obtained by subtraction

product

a quantity obtained by multiplication

quotient

a quantity obtained by division

PEMDAS

the abbreviation used to stand for the order of operations, Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

open sentence

an expression or equation conatining one or more variables

replacement set

the set from which values for a variable may be chosen

solution set

the set of replacement values for the variable in an open sentence which make the statement true

equation

an open sentence that contains an equal sign, =

For any number a, a + 0 = a

Multiplicative Identity

For any number a, a(1) = a

Multiplicative Property of 0

For any number a, a(0) = 0

Multiplicative Inverse Property

For every number a/b, a and b not zero, there is exactly one number b/a such that (a/b)(b/a) = 1

Reflexive Property

For any number a, a = a

Symmetric Property

For any numbers a and b, if a = b, then b = a

Transitive Property

For any numbers a, b, and c, if a = b and b = c, then a = c

Substitution Property

If a = b, then a may be replaced by b in any expression

Distributive Property

For any numbers a, b, and c, a(b + c) = ab + ac

term

a number, a variable, or a product or quotient of numbers and variables

like terms

terms that contain the same variables, with corresponding variables having the same powers

simplest form

an expression with no like terms or parentheses

equivalent expression

two expressions with the same expression

Commutative Property

For any numbers a and b, a + b = b + a, a(b) = b(a)

Associative Property

For any numbers a, b and c, (a + b) + c = a + (b + c) and (ab)c = a(bc)

factors

the elements of a multiplication problem