Pre-Calc Unit 1

a

-(-a)=

expression

A combination of numbers, variables, and operation symbols is called an algebraic

Simplified

An algebraic expression is​ _______ when parentheses have been removed and like terms have been combined.

formula, modeling, models

An equation that expresses a relationship between 2 or more variables, such as H= (9/10)(220-a), is called a ---. The process of finding such equations to describe real world phenomena is called mathematical ---. Such equations, together w/ the meaning assigned to the variables, are called mathematical ---

Rational, Irrational

Every real number is either​ _______ or​ _______ number.

b to the nth power

If n is a counting number, b^n, read ---, indicates that there are n factors of b

ab+ac

If​ a, b, and c are real​ numbers, the distributive property states that ​a(b+c)= ---

0:, inverse, 0, identity

The Inverse Property of Addition states that a+(-a)= ---. The sum of a real number and its additive --- is --- the additive ---.

inverse, 1, identity

The Inverse Property of Multiplication states that a*(1/a)=1, a does not equal 0: the product of a nonzero real number and its multiplicative --- is --- the multiplicative ---.

a+(b+c), a(bc)

The associative properties state that ​(a+b)+c= --- and (ab)c= ---.

b+a, ba

The commutative properties state that a+b= --- and ab= ---

absolute value, x, -x

The notation IxI is read the --- of x. If x is greater than or equal to 0, then x= ---. If x is less than or equal to 0, then IxI = ---

intersection, A∩B

The set of elements common to both set A and set B is called the​ _______ of sets A and​ B, and is symbolized by​ _______.

Union, A∪B

The set of elements that are members of set A or set B or of both sets is called the​ _______ of sets A and​ B, and is symbolized by​ _______.

Rational

The set of numbers in the form a/b, where a and b are integers and b does not equal ​0, is called the set of ​ _______ numbers.

Irrational

The set of numbers whose decimal representations are neither terminating nor repeating is called the set of --- numbers

Integers

The set​ {...,−​4,−​3,−​2,−​1, ​0, 1,​ 2, 3,​ 4, ...} is called the set of

Whole Numbers

The set​ {0, 1,​ 2, 3,​ 4, 5,​ ...} is called the set of​ _______ numbers .

Natural numbers

The set​ {1, 2,​ 3, 4,​ 5, ...} is called the set of ---