# Study sets matching "algebra chapter 2"

Study sets

Diagrams

Classes

Users

Whole Numbers

Integers

Rational Numbers

Opposites

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

All whole numbers (both positive and negative) and zero.

numbers that can be expressed in the form a/b, where a and b a…

two numbers that have the same absolute value but have differe…

Whole Numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Integers

All whole numbers (both positive and negative) and zero.

Change in the quantity

Subtracting a real number

An increasing quantity has a...

A decreasing quantity has a...

Change in the quantity= ending amount - beginning amount

To subtract a real number, add its opposite. A-b=a+(-b)

Positive change

Negative change

Change in the quantity

Change in the quantity= ending amount - beginning amount

Subtracting a real number

To subtract a real number, add its opposite. A-b=a+(-b)

Conversion factor

cross products(of a proportion)

equivalent equations

formula

a ratio of two equivalent measures in different units

in a proportion, a/b=c/d, the products ad and bc are equal.

equations that have the same solution

an equation that states a relationship among quantities

Conversion factor

a ratio of two equivalent measures in different units

cross products(of a proportion)

in a proportion, a/b=c/d, the products ad and bc are equal.

Addition of Property Equality (p. 81)

Conversion Factor (p. 117)

Cross Products (p, 125)

Cross Products Property (p. 125)

Adding the same number to each side of an equation produces an…

A ratio of two equivalent measures in different units

Used to solve proportions

the product of the means equals the products of the extremes

Addition of Property Equality (p. 81)

Adding the same number to each side of an equation produces an…

Conversion Factor (p. 117)

A ratio of two equivalent measures in different units

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

A term used informally to describe the relationship of a graph…

A transformation which vertically compresses or stretches the…

The set of all input values for a relation or function.

A function where f(−x) = f(x) for all values of x defined for…

COMPRESS

A term used informally to describe the relationship of a graph…

DILATION

A transformation which vertically compresses or stretches the…

Consecutive Integers

Dimensional analysis

Equivalent expressions

Extremes

Integers in counting order

Process of carrying units through a computation

Have the same solution

The first and last terms of the proportion

Consecutive Integers

Integers in counting order

Dimensional analysis

Process of carrying units through a computation

Inequality

Solution of an Inequality

Solution Set

Graph of an Inequality

A mathematical sentence that compares expressions.

A value that makes an inequality true.

The set of all solutions of an inequality.

A graph that shows the solution set of an inequality on a numb…

Inequality

A mathematical sentence that compares expressions.

Solution of an Inequality

A value that makes an inequality true.

Point-Slope Formula

Vertical Lines

Horizontal Lines

Slope-Intercept Form

y-y1=m(x-x1)

-Written in the form x=a, where a represents the line's x-inte…

-Written in the form y=a, where a represents the lines y-inter…

y=mx+b

Point-Slope Formula

y-y1=m(x-x1)

Vertical Lines

-Written in the form x=a, where a represents the line's x-inte…

commutative property of addition

identity property of addition

inverse property of addition

3

5 + (6 + 3) = (3 + 6) +5... the position of the factors change w…

9 + 0 = 9... any number added to zero is itself

8 + (-8) = 0... any number added to its inverse is zero

How many terms are there in the following expression?... 3x + 7y…

commutative property of addition

5 + (6 + 3) = (3 + 6) +5... the position of the factors change w…

identity property of addition

9 + 0 = 9... any number added to zero is itself

function

Linear Function

nonlinear function

Domain (x values)

a relationship that pairs each input value with exactly one ou…

Has a constant rate of change and is a straight line

does not have a constant rate of change and is a curved line

pairing of numbers in one set, with range make a relation

function

a relationship that pairs each input value with exactly one ou…

Linear Function

Has a constant rate of change and is a straight line

Addition property of equality

Celsius

conversion factor

cross product property

for every real number a,b, and c, if a=b, then a+b = b+c

The ________ scale, invented by Swedish Astronomer Anders ____…

a ratio of two equivalent measures in different units

if a/b = c/d, then ad = bc

Addition property of equality

for every real number a,b, and c, if a=b, then a+b = b+c

Celsius

The ________ scale, invented by Swedish Astronomer Anders ____…

X value terms

Y value terms

Function

Vertical Line test

domain, input values, independent variables

range, output values, dependent variables

specific domain, range relationship where every domain has onl…

If a vertical line intersects a graph at more than one point t…

X value terms

domain, input values, independent variables

Y value terms

range, output values, dependent variables

equivalent equations

Formula

Identity

Multi-Step Equation

Equations that have the same solitions

A rule for the relationship between certain quantities

Some equations are true for all the values of the variable

Equations that require more than one step to solve

equivalent equations

Equations that have the same solitions

Formula

A rule for the relationship between certain quantities

Function

Domain

Range

one-to-one function

Each input has at most one unique output. Passes vertical line…

All possible x values, independent variable, inputs.

All possible y values, dependent variable, outputs.

Each output is only mapped to at most once. Passes the horizon…

Function

Each input has at most one unique output. Passes vertical line…

Domain

All possible x values, independent variable, inputs.

equivelent equations

isolate

inverse operation

identity

equations that have the same solutions

use properties of equality and inverse operations to get a var…

operations that undo one another

an equation that is true for every value

equivelent equations

equations that have the same solutions

isolate

use properties of equality and inverse operations to get a var…

Rational Number

Irrational number

Real number

reciprocal

A number that can be written as a ratio of two numbers

A number that cannot be written as a ratio of two numbers

A set of rational and irrational numbers

The flip of a number

Rational Number

A number that can be written as a ratio of two numbers

Irrational number

A number that cannot be written as a ratio of two numbers

Commutative

Associative

Additive Identity

Additive Inverse

Numbers can be flipped- -8+7=7+(-8)

Order of the numbers can change- (4+-2)+5=4+(-2+5)

A.K.A., zero property- 9+0=9

negative/positive=zero- 9+-9=0

Commutative

Numbers can be flipped- -8+7=7+(-8)

Associative

Order of the numbers can change- (4+-2)+5=4+(-2+5)

relation

domain

range

function

a set of pairs of input and output values

a relation of the set of inputs, also called x-coordinates, of…

a set of outputs, also called y-coordinates, of the ordered pa…

a relation in which each element of the domain corresponds wit…

relation

a set of pairs of input and output values

domain

a relation of the set of inputs, also called x-coordinates, of…

compound inequality

inequality

intersection

solution of an inequality

Two inequalities that are combined into one statement by the w…

A statement that compares TWO expressions by using one of the…

The intersection of TWO sets is the set of all elements that a…

A value or values that make the inequality true

compound inequality

Two inequalities that are combined into one statement by the w…

inequality

A statement that compares TWO expressions by using one of the…

Real numbers

Rational numbers

Irrational numbers

Intergers

A number that can be positive, negative, and have decimal plac…

One that can be written as a ratio of 2 intergers

Any number that is not rational. It cannot be written as a rat…

A number that has no fractional part, and no digits after the…

Real numbers

A number that can be positive, negative, and have decimal plac…

Rational numbers

One that can be written as a ratio of 2 intergers

conversion factor

cross products

formula

inverse operations

a ratio of equivalent measurements used to convert a quantity…

the product of numbers on the diagonal when comparing two rati…

a mathematical relationship or rule expressed in symbols. [p.…

two of the order of operations that undo each other. [p. 88]

conversion factor

a ratio of equivalent measurements used to convert a quantity…

cross products

the product of numbers on the diagonal when comparing two rati…