Unit 1: Algebra II

Lakukan tugas rumah & ujian kamu dengan baik sekarang menggunakan Quizwiz!

4x2−y+0z4

binomial

A ___ is a polynomial with three terms.

trinomial

The ___ Identify Element defines 0 as such that a+0=0+a=aa+0=0+a=a for all real numbers.

additive

The __ Property of Addition states that for any a, b,a, b, and c,a+(b+c)=(a+b)+c.c,a+(b+c)=(a+b)+c.

associative

The ___ Property of Multiplication states that for any numbers a,b,a,b, and c,a⋅(b⋅c)=(a⋅b)⋅c.c,a⋅(b⋅c)=(a⋅b)⋅c.

associative

A ___ is as polynomial with two terms.

binomial

____ is the property of an operation and a set that the performance of the operation on members of the set always yields a member of the set.

closure

The ___ Property of Addition states that for any numbers aa and b,a+b=b+ab,a+b=b+a .

commutative

The ___ Property of Multiplication states that for any numbers aa and b,a⋅b=b⋅a.b,a⋅b=b⋅a.

commutative

The ___ Property of Multiplication over Addition states that for any numbers a,b,a,b, and c,a⋅(b+c)=(a⋅b)+(a⋅c).c,a⋅(b+c)=(a⋅b)+(a⋅c).

distributive

The set of first coordinates of each ordered pair in a relation is the ___.

domain

A relation in which each domain element is paired with exactly one range element is a ___.

function

{(4,5),(5,7),(6,9),(7,0)}

function relation

_____ are numbers {0,+1,−1,+2,−2,...}{0,+1,-1,+2,-2,...}ℤ .

integers

{−2,−1,0,1,2}

integers

An ___ is a relation found by interchanging the domain and range values in each ordered pair of a relation.

inverse

The Additive ___ Property states that for every number a,a, there is a number −a,-a, such that a+(−a)=(−a)+a=0.a+(-a)=(-a)+a=0.

inverse

π : rational or irrational

irrational

√2 : rational or irrational

irrational

____ are real numbers which cannot be written as the ratio of two integers; designed withℚ_

irrational numbers

A ___ is a polynomial with one term.

monomial

x3y2zx3y2z

monomial

The ___ Identity Property defines 1 as the multiplicative identity element because for every number a,a⋅1=1⋅a=a.a,a⋅1=1⋅a=a.

multiplicative

The ___ Inverse Property states that for every number aa except 0, there is a number a−1=1aa-1=1a such that a⋅(a−1)=(a−1)⋅a=1.a⋅(a-1)=(a-1)⋅a=1.

multiplicative

It is closed under addition and multiplication but not closed under subtraction or division.

natural numbers

____ are numbers {1,2,3,4...}{1,2,3,4...} and designed with ℕ .

natural numbers

{4,5,6,7}

natural numbers whole numbers integers

A ___ is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

polynomial

The ___ is the set of second coordinates of each ordered pair in a relation.

range

0.333... : rational or irrational

rational

5 : rational or irrational

rational

_____ are numbers of the form {ab∣a,b∈Z,b≠0}{ab∣a,b∈ℤ,b≠0} and designated with ℚ .

rational numbers

It is closed under addition and subtraction, multiplication and division, with the exception of division by 0 which is not defined.

rational numbers real numbers

_____ are the rational numbers together with the irrational numbers; designed with

real numbers

The ___ Property of Equality states that for any number a,a=a.a,a=a.

reflexive

A ___ is any set of ordered pairs.

relation

{(0,2),(1,3),(0,−2),(2,4)} (could be more than one)

relation

{(−1,2),(−2,1),(−3,0),(−4,−1)}

relation function

The ___ Property of Equality states that for any numbers aa and b,b, if a=b,a=b, then b=a.b=a.

symmetric

Of the three properties, reflexive, symmetric, and transitive that define the relation "is equal to," which one could also apply to "is less than" and "is greater than?"

transitive

The ___ Property of Equality states that for any numbers a,b,a,b, and c,c, if a=ba=b and b=c,b=c, then a=c.a=c.

transitive

The ___ Property states that for any numbers aa and b,b, either a<b,a<b,a=b,a=b, or a>b.a>b.

trichotomy

ax−by+4z

trinomial

Numbers {0,1,2,3,4...}{0,1,2,3,4...} are called __.

whole numbers

{0,8,9,10}

whole numbers integers

{0,5,10,15}

whole numbers intergers


Set pelajaran terkait

Passpoint - Foundations of Psychiatric Nursing

View Set

Week 1: The Effective Counsellor

View Set

Nursing exam 5 Tables and masks!

View Set

UNIT 1: Foundations of Nursing Practice

View Set

Cisco Chapter 1 Intro to Networks

View Set