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Commutative Property

Associative Property

Identity Property of Addition

Additive Identity

You can add or multiply numbers in any order. 2 + 3 is the sa…

Changing the grouping (parentheses) of numbers you are adding…

The sum of a number and 0 is the number.

Zero .... because you can add zero to anything and its value…

Commutative Property

You can add or multiply numbers in any order. 2 + 3 is the sa…

Associative Property

Changing the grouping (parentheses) of numbers you are adding…

absolute value

additive inverse

coordinate

inequality

the distance a number is from zero on the number line

an integer and its opposite

a number that corresponds with a point on a number line

a mathematical sentence that contains < >

absolute value

the distance a number is from zero on the number line

additive inverse

an integer and its opposite

one-to-one function

onto function

discrete function

continuous function

each x pairs to exactly one y

there is at least one x paired to each y

relation in which the domain is a set of individual points

relation has infinite number of elements and can be graphed w…

one-to-one function

each x pairs to exactly one y

onto function

there is at least one x paired to each y

Property of the Opposite of a Sum

Commutative Property for Multiplication

Commutative Property for Addition

Closure Property for Addition and Mult…

The opposite of a sum of real numbers is equal to the sum of…

The order in which you multiply numbers, does not change the…

The order in which you add numbers, does not change the outco…

The sum and the product of any two real numbers is also one r…

Property of the Opposite of a Sum

The opposite of a sum of real numbers is equal to the sum of…

Commutative Property for Multiplication

The order in which you multiply numbers, does not change the…

absolute value (p. 63)

additive inverse (p. 71)

coordinate (p. 62)

inequality (p. 62)

The distance a number is from zero on the number line.

An integer and its opposite.

A number that corresponds with a point on a number line.

A mathematical sentence that contains <, >, ≠, ≤, or ≥.

absolute value (p. 63)

The distance a number is from zero on the number line.

additive inverse (p. 71)

An integer and its opposite.

Absolute Value -

Additive Inverse -

Coordinate -

Inequality -

The distance a number is from zero on the number line.

An integer and its opposite.

A number that corresponds with a point on a number line.

A mathematical sentence that contains <,>,<,>, or a not equal…

Absolute Value -

The distance a number is from zero on the number line.

Additive Inverse -

An integer and its opposite.

slope

slope triangle

rise

run

the ratio of rise over run of a line; its steepness or flatness

a triangle drawn to show rise and run

the amount of change on the y-coordinates

the amount of change on the x-coordinates

slope

the ratio of rise over run of a line; its steepness or flatness

slope triangle

a triangle drawn to show rise and run

Relation

Domain

Range

Mapping diagram

A set of pairs of input and output values. Can be written as…

The set of all inputs, or x-coordinates, of the ordered pairs

The set of all outputs, or y-coordinates, of the ordered pairs

Links elements of the domain with corresponding elements of t…

Relation

A set of pairs of input and output values. Can be written as…

Domain

The set of all inputs, or x-coordinates, of the ordered pairs

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

Numbers can be added in any order in the answer is the same:…

Numbers can be multiplied in any order and the answer is the…

Numbers are kept in the same order but our group differently.…

Numbers are kept in the same order but Are group differently.…

Commutative property of addition

Numbers can be added in any order in the answer is the same:…

Commutative property of multiplication

Numbers can be multiplied in any order and the answer is the…

Formula

Equivalent Equations

Multiple Step Equation

Consecutive Integers

An equation that states a rule for the relationship between c…

Equations that have the same solution.

Equations with more than one operation.

Integers in counting order.

Formula

An equation that states a rule for the relationship between c…

Equivalent Equations

Equations that have the same solution.

Axiom or postulate

Axioms of closure

Commutative axioms

Associative axioms

Statements that are assumed to be true

For all real numbers A and B, A + B and AB are unique real nu…

For all real numbers A and B, A + B = B + A and AB =BA

For all real numbers A, B, and C, (A + B)+C= A+(B+C) and (AB)…

Axiom or postulate

Statements that are assumed to be true

Axioms of closure

For all real numbers A and B, A + B and AB are unique real nu…

absolute value function

bivariate data

constant function

continuous relation

a function that contains an algebraic expression within absol…

data with two variables (such as year and number of visitors)

f(x) = a, where a is any number; the domain is all real numbe…

when the domain of a relation has an infinite number of eleme…

absolute value function

a function that contains an algebraic expression within absol…

bivariate data

data with two variables (such as year and number of visitors)

Axiom of Additive Inverses

Property of the Reciprocal of a Product

Axiom of Multiplicative Inverses

Multiplicative Property of -1

a+(-a)=0 and -a+a=0

1/ab=1/a * 1/b

a** 1/a=1 and 1/a ** a=1

a(-1)=-a and (-1)a=-a

Axiom of Additive Inverses

a+(-a)=0 and -a+a=0

Property of the Reciprocal of a Product

1/ab=1/a * 1/b

Compound inequality

Conjunction

Coordinate

Disjunction

2 or more inequalities expressed in one sentence

Compound Statement of two or more statements joined by the wo…

Number that corresponds to a point on a number line

A compound statement of 2 or more statements joined by the wo…

Compound inequality

2 or more inequalities expressed in one sentence

Conjunction

Compound Statement of two or more statements joined by the wo…

formula

solve an equation

equivalent equations

multi-step equation

relationship between certain quantities

to find the value of the variable that makes the equation true

have the same solution

an equation that requires more than one step to solve

formula

relationship between certain quantities

solve an equation

to find the value of the variable that makes the equation true

Relation

Domain

Range

Function

A set of pairs of input and output values

The set of all input values (x- coordinates)

The set of all outputs values (y - coordinates)

A relation in which each element of the domain corresponds wi…

Relation

A set of pairs of input and output values

Domain

The set of all input values (x- coordinates)

When for every x, there is one y

Domain (Dx)

Range (Ry)

Vertical line test... (If a vertical line…

When is a relation a function?

The set of all possible independent values

The set of all possible dependent values

How can you test, on a graph, if a relation is a function?

When for every x, there is one y

When is a relation a function?

Domain (Dx)

The set of all possible independent values

Equivalent Equations

Identity

Inverse Operations

Literal Equations

Equations that have the same solution

An equation that is true for every possible value of the vari…

Opposite operations, undos another operation

An equation that involves two or more variables

Equivalent Equations

Equations that have the same solution

Identity

An equation that is true for every possible value of the vari…

equivelent equations

isolate

inverse operation

identity

equations that have the same solutions

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

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 va…

addition property of equality

consecutive integers

division property of equality

equivalent equations

The property that states the same number can be added to both…

_____ are integers that are in counting order such as 4, 5, 6…

The property that states both sided of an equation can be div…

_____ are equations that have the same solution

addition property of equality

The property that states the same number can be added to both…

consecutive integers

_____ are integers that are in counting order such as 4, 5, 6…

Slope

x-intercept

y-intercept

Slope-intercept form

Measure of steepness of a line can be positive, negative, zer…

Location where a function crosses the x axis. The location is…

Location where a function crosses the y axis. The location is…

y=mx+b where m is the slope and b is the point where the y ax…

Slope

Measure of steepness of a line can be positive, negative, zer…

x-intercept

Location where a function crosses the x axis. The location is…

What is the difference quotient?

Define domain

Define range

Define a function

DQ = [f(x+h) - f(x)] / h

The x-values a relation can have. Ask yourself 2 questions: 1…

The y-values a relation can have.

A relation whose graph passes a vertical line test.... Each x is…

What is the difference quotient?

DQ = [f(x+h) - f(x)] / h

Define domain

The x-values a relation can have. Ask yourself 2 questions: 1…

dimensional analysis

equivalent equation

formula

identity

the process of carrying units throughtoit a computation

equation that has the same solution

an equation that states a rule for the relationship between c…

an equation that is true for every value of the variable

dimensional analysis

the process of carrying units throughtoit a computation

equivalent equation

equation that has the same solution

absolute value function

axis of symmetry

boundary

constant of variation

a function of the form f(x) = |mx + b| + c, where m does not…

a line that divides a figure into two parts that are mirror i…

a line in the cordinate plane that separated the solutions of…

the ratios of the two variables in a direct variation and the…

absolute value function

a function of the form f(x) = |mx + b| + c, where m does not…

axis of symmetry

a line that divides a figure into two parts that are mirror i…

Equivalent Equation

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Equations that have the solution

If a = b, then a +c = b + c

If a = b, then a - c = b - c

If a = b, then a**c = b**c

Equivalent Equation

Equations that have the solution

Addition Property of Equality

If a = b, then a +c = b + c

One to one function

Discrete function

Continuous function

Vertical line test

Each element of the domain pairs to exactly 1 unique element…

A graph where the points are not connected(set of ordered pai…

When the domain of a relation has an infinite number of eleme…

If a vertical line can be drawn such that the graph is inters…

One to one function

Each element of the domain pairs to exactly 1 unique element…

Discrete function

A graph where the points are not connected(set of ordered pai…

additive identity

multiplication identity

commutative property of addition

commutative property of multiplication

the sum of a number, and the additive identity, 0, is the num…

the product of a number and the multiplication identity, 1, i…

changing the order of the addends will not change the sum: *a…

changing the order of the factors will not change the product…

additive identity

the sum of a number, and the additive identity, 0, is the num…

multiplication identity

the product of a number and the multiplication identity, 1, i…

real numbers

real number line

origin

negative numbers

the set of numbers consisting of the positive numbers, negati…

a line that pictures real numbers as points

the point labeled zero of a number line

any of the numbers less than zero

real numbers

the set of numbers consisting of the positive numbers, negati…

real number line

a line that pictures real numbers as points

Vertical angles

Linear Equation

Solution

Solve

angles formed by intersecting lines; across from each other;…

Equation whose graph is a line;degree 1 equation

the number that makes the equation true

isolated the variable

Vertical angles

angles formed by intersecting lines; across from each other;…

Linear Equation

Equation whose graph is a line;degree 1 equation

equation

solution set of an equation

linear equation in one variable

√x or x² or 1/x

a mathematical statement that two expressions are equivalent

the value or values of the variable that makes the equation t…

can be written in the form ax=b where a and b are constants a…

a variable in a linear equations is not _______

equation

a mathematical statement that two expressions are equivalent

solution set of an equation

the value or values of the variable that makes the equation t…

dimensional analysis

equivalent equations

formula

identity

the process of carrying units throughout a computation

equations that have the same solution

a rule for the relationship between cetain quantities

an equation that is true for every value of the variable

dimensional analysis

the process of carrying units throughout a computation

equivalent equations

equations that have the same solution

absolute value function

bivariate data

continuous relation

dependent variable

a function that contains an algebraic expression within absol…

data consisting of pairs of values

a relation in which the domain is a set of individual points

the other variable in a function, usually y, whose values dep…

absolute value function

a function that contains an algebraic expression within absol…

bivariate data

data consisting of pairs of values

relation

Function

onto function

one-to-one function

a connection between numbers or things... -a set of ordered pairs

a special kind of relation... an equation where if any x is plug…

if every y is connected to an x- can't have one or more lefto…

if every x goes to a different y... -each y has a corresponding…

relation

a connection between numbers or things... -a set of ordered pairs

Function

a special kind of relation... an equation where if any x is plug…

Quadratic Function

Parabola

Vertex of Parabola

Vertex form of Quadratic

Function that can be written in the form f(x)=a(x-h)²+k or f(…

U-shaped curve of quadratic function graph

Highest or lowest point of a parabola; (h, k)

f(x)=a(x-h)²+k

Quadratic Function

Function that can be written in the form f(x)=a(x-h)²+k or f(…

Parabola

U-shaped curve of quadratic function graph

quadratic function

parabola

vertex of a parabola

vertex form

a function that can be written in the form f(x) = ax2+bx+c, w…

the graph of a quadratic function

the lowest or highest point on a parabola

y=a(x-h)^2+k

quadratic function

a function that can be written in the form f(x) = ax2+bx+c, w…

parabola

the graph of a quadratic function

one-to-one function

onto function

discrete relation

continuous relation

A function where each element of the range is paired with exa…

Each element of the range corresponds to an element of the do…

A relation in which the domain is a set of individual points.

A relation that can be graphed with a line or smooth curve.

one-to-one function

A function where each element of the range is paired with exa…

onto function

Each element of the range corresponds to an element of the do…

absolute value function

axis of symmetry

direct variation

domain

a V-shaped function written in the form of **y = |x|**.

a line that divides a graph into two congruent reflected halv…

a linear function defined by an equation of the form y=kx, wh…

all possible x-coordinate values.

absolute value function

a V-shaped function written in the form of **y = |x|**.

axis of symmetry

a line that divides a graph into two congruent reflected halv…