Intermediate Algebra (11th edition)

1.1

set
elements (members)
finite set
infinite set
empty set (null set)
variable
set-builder notation
number line
coordinate
graph
additive inverse
(opposite, negative)

signed numbers

absolute value

equation

inequality

interval

interval notation

three-part inequality

1.2

sum

difference

product

quotient

reciprocal

(multiplicative inverse)

1.3

factors

exponent (power)

base

exponential expression

square root

principal (positive)

square root

negative square root

algebraic expression

1.4

identity element for

addition

identity element for

multiplication

term

coefficient (numerical

coefficient)

like terms

combining like terms

KEY TERMS

SUMMARY

CHAPTER 1

set containing the
elementsaandb
0 or empty set 56

5 a,b 6 has property
set-builder notation
absolute value of x
is less than
is less than or equal to
is greater than
is greater than or
equal to

»

>

◊

<

x

5 xx P 6 infinity

negative infinity

set of all real

numbers

the interval

the interval

5 x|x 6 a 6

1 ˆ,a 2

5 x|x 7 a 6

1 a,ˆ 2

1 ˆ,ˆ 2

ˆ

ˆ the interval

mfactors of a

radical symbol

positive (or

principal) square

root of a

a



am

5 x|a 6 x...b 6

1 a,b 4

NEW SYMBOLS

1.Theempty setis a set
A.with 0 as its only element
B.with an infinite number of elements
C.with no elements
D.of ideas.

2.Avariableis
A.a symbol used to represent an
unknown number
B.a value that makes an equation
true
C.a solution of an equation
D.the answer in a division problem.

3.Theabsolute valueof a number is
A.the graph of the number
B.the reciprocal of the number
C.the opposite of the number
D.the distance between 0 and the
number on a number line.

4.Thereciprocalof a nonzero number

ais

A.a B. C. D.1.

5.Afactoris

A.the answer in an addition problem

B.the answer in a multiplication

problem

C.one of two or more numbers that

are added to get another number

D.any number that divides evenly into

a given number.

6.Anexponential expressionis

A.a number that is a repeated factor

in a product

B.a number or a variable written with

an exponent

C.a number that shows how many

times a factor is repeated in a product

(^1) a -a
D.an expression that involves
addition.
7.Atermis
A.a numerical factor
B.a number or a product of a
number and one or more
variables raised to powers
C.one of several variables with the
same exponents
D.a sum of numbers and variables
raised to powers.
8.Anumerical coefficientis
A.the numerical factor in a term
B.the number of terms in an
expression
C.a variable raised to a power
D.the variable factor in a term.

TEST YOUR WORD POWER

See how well you have learned the vocabulary in this chapter.

CHAPTER 1 Summary 39

 is an element of
(a set)
 is not an
element of
 is not equal to