#### Study sets matching "chapter 1 math algebra"

#### Study sets matching "chapter 1 math algebra"

The ___________ are whole numbers.

The _____________of a polygon is its d…

The position of each digit in a number…

A(n)____________is a shorthand notatio…

0, 1, 2, 3, 4, 5, . .

Perimeter

Place value

Exponent

The ___________ are whole numbers.

0, 1, 2, 3, 4, 5, . .

The _____________of a polygon is its d…

Perimeter

simplify

evaluate

inverse operations

coefficient

make (something) simpler or easier to do or understand.

find a numerical expression or equivalent for (an equation, f…

opposite operations that undo each other.

a numerical or constant quantity placed before and multiplyin…

simplify

make (something) simpler or easier to do or understand.

evaluate

find a numerical expression or equivalent for (an equation, f…

Variable

Values

Variable expression

Evaluating the expression

A letter used to represent one or more numbers

Numbers of the variable

Collection of numbers, variables, and operations

Replacing each variable in an expression by a number

Variable

A letter used to represent one or more numbers

Values

Numbers of the variable

algebraic expression

base

coefficient

coordinate system

An expression consisting of one or more numbers and variables…

In an expression of the form x^n, it is the x.

The numerical factor of a term.

The grid formed by the intersection of two number lines, the…

algebraic expression

An expression consisting of one or more numbers and variables…

base

In an expression of the form x^n, it is the x.

Quantity

Variable

Algebraic expression

Numerical expression

Anything than can be measured or counted.

A symbol, usually a letter, that represents one or more numbe…

A mathematical phrase that includes one or more variables.

A mathematical phrase involving numbers and operation symbols…

Quantity

Anything than can be measured or counted.

Variable

A symbol, usually a letter, that represents one or more numbe…

Algebraic Expressions

Variable

Term

Product

Consists of sums and/or products of numbers and variables

A symbol used to represent a number

An expression may be a number, a variable, or a product or qu…

The answer to a multiplication problem

Algebraic Expressions

Consists of sums and/or products of numbers and variables

Variable

A symbol used to represent a number

variable

Algebraic expression

Numerical expression

power

A symbol, usually a letter, that represents one or more value…

A mathematical phrase that includes one or more variables.

A mathematical phrase involving numbers and operations.

A number that can be expressed using a base and an exponent.

variable

A symbol, usually a letter, that represents one or more value…

Algebraic expression

A mathematical phrase that includes one or more variables.

coordinate

independent

mean

origin

The number corresponding to a point on the number line or an…

When one quantity changes in a way that does not depend on th…

Also known as the average of several numbers is one way of de…

The point on a coordinate plane where the x-axis and y-axis i…

coordinate

The number corresponding to a point on the number line or an…

independent

When one quantity changes in a way that does not depend on th…

factors

exponent

base

powers

two or more numbers that are multiplied together to form a pr…

tells how many times the bse is used as a factor

the common factor

numbers expressed using exponents

factors

two or more numbers that are multiplied together to form a pr…

exponent

tells how many times the bse is used as a factor

absolute value

algebraic expression

coefficient

compound inequality

the distance of a number from zero on a number line.

an expression that contains at least one variable.

a number multiplied by a variable in an algebraic expression.

two or more inequalities joined together by either "and" or "…

absolute value

the distance of a number from zero on a number line.

algebraic expression

an expression that contains at least one variable.

algebraic expression

base

counterexample

equivalent expressions

a mathematical phrase involving at least one variable and som…

the number that is being multiplied in a power.

an example that proves a statement (or conjecture) false.

two expressions that when simplified reduce to the same value.

algebraic expression

a mathematical phrase involving at least one variable and som…

base

the number that is being multiplied in a power.

algebraic expression

variable

constant

numerical expression

may contain variables, constants, and/or operations

a letter or symbol used to represent a value that can change

is a value that does not change

may contain only constants and/or operations

algebraic expression

may contain variables, constants, and/or operations

variable

a letter or symbol used to represent a value that can change

Asymptote

Dependent variable

Domain

Equation

A line that a graph of a curve approaches as the x‑values app…

When one quantity depends for its value on one or more other…

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

A mathematical sentence in which two expressions appear on ei…

Asymptote

A line that a graph of a curve approaches as the x‑values app…

Dependent variable

When one quantity depends for its value on one or more other…

absolute value

algebraic expression

coefficient

compound inequality

the distance of a number from zero on a number line.

an expression that contains at least one variable.

a number multiplied by a variable in an algebraic expression.

two or more inequalities joined together by either "and" or "…

absolute value

the distance of a number from zero on a number line.

algebraic expression

an expression that contains at least one variable.

variable

algebraic expression

order of operations

rate, unit rate

a letter used to represent numbers such as n

is a mathematical phrase that can contain ordinary numbers, v…

PEMDAS or GEMDAS

When rates are expressed as a quantity of 1, such as 2 feet p…

variable

a letter used to represent numbers such as n

algebraic expression

is a mathematical phrase that can contain ordinary numbers, v…

sum

variable

difference

product

the result of adding two or more numbers together

having no fixed value, usually represented by a letter

result of subtracting one number from another

the result of multiplying two or more numbers together

sum

the result of adding two or more numbers together

variable

having no fixed value, usually represented by a letter

Algebraic Expression Example

Algebraic Expression

Base

Coefficient Examples

one or more numbers and variables along with one or more arit…

in a power, the number that is the common factor

Algebraic Expression Example

Algebraic Expression

one or more numbers and variables along with one or more arit…

Variable

Algebraic Expression

Evaluating the Expression

Order of Operations

A letter or symbol that can be replaced by any number

Contains a letter and/or numbers and operations

Replace a variable with a value and compute the result

Parentheses, Exponents, Multiplication or Division, Addition…

Variable

A letter or symbol that can be replaced by any number

Algebraic Expression

Contains a letter and/or numbers and operations

What does the function y=a•f(x) do?

What does the function y=f(-x) do?

What does the function y=-f(x) do?

What happens on a graph with the funct…

If a is greater than one it streched the graph vertically (to…

It reflects the graph in the y axis

It reflects the graph in the x axis

If k is less than j, the Y value will vertically shrink. If k…

What does the function y=a•f(x) do?

If a is greater than one it streched the graph vertically (to…

What does the function y=f(-x) do?

It reflects the graph in the y axis

variable

values

Variable expression

evaluating the expression

A letter used to represent one or more numbers

A number or date represent in a variable X=5

a collection of numbers, variables, and operations.... examples…

Replacing each variable in an expression by a number

variable

A letter used to represent one or more numbers

values

A number or date represent in a variable X=5

domain

function

graph

input value

The set of all possible inputs of a relation

A relation where each input has exactly one output

A diagram showing the relation between variable quantities, t…

The independent variable in a relation

domain

The set of all possible inputs of a relation

function

A relation where each input has exactly one output

Conjecture

Inductive reasoning

Numerical expression

Evaluate

An educated quess

Making a conjecture based off of patterns or past events

Contain numbers and operations such as addition, subtraction,…

To find the numerical value of an expression

Conjecture

An educated quess

Inductive reasoning

Making a conjecture based off of patterns or past events

conjecture

inductive reasoning

commutative property

associative property

An educated guess

When you make an educated guess based on a pattern

Example: 6 + 4 = 4 + 6

Example: (2 + 7) + 3 = 2 + (7 + 3)

conjecture

An educated guess

inductive reasoning

When you make an educated guess based on a pattern

additive inverse

absolute value

algebraic expression

coefficient

the opposite of any number

a number's distance from zero

a mathematical phrase that includes one or more variables

the numerical factor when a term has a variable

additive inverse

the opposite of any number

absolute value

a number's distance from zero

Domain

Range

Function

Parent Graph

The set of all input values that will have an output.

The set of outputs that can come from the input values.

A relation in which there is exactly one output for every inp…

The simplest form of each family of functions.

Domain

The set of all input values that will have an output.

Range

The set of outputs that can come from the input values.

reciprocal

power

exponent

base

multiplicative inverse

expression used to abbreviate repeated multiplication of the…

the number of times the base is multiplied by itself

factor to be multiplied by itself in a power

reciprocal

multiplicative inverse

power

expression used to abbreviate repeated multiplication of the…

Natural Numbers

Whole Numbers

Integers

Rational Numbers

The positive counting numbers

The positive counting numbers and zero

The positive and negative counting numbers and zero

Any number that can be written as a fraction of two integers…

Natural Numbers

The positive counting numbers

Whole Numbers

The positive counting numbers and zero

quantity

variable

algebraic expression

numerical expression

Anything that can be measured or counted.

A symbol, usually a letter, that represents one or more numbe…

Mathematical phrase that includes one or more variables.

A mathematical phrase involving numbers and operation symbols…

quantity

Anything that can be measured or counted.

variable

A symbol, usually a letter, that represents one or more numbe…

counting (natural)

Whole Numbers

Integers

rational numbers

1, 2, 3...

all natural numbers and adds zero to the mix

all whole and natural positive and negative numbers with abso…

all integers plus 2.5, 3/2, -1.6, square root symbols

counting (natural)

1, 2, 3...

Whole Numbers

all natural numbers and adds zero to the mix

Additive Identity

Additive Inverse

Algebraic Expression

Base

For any number a, a+0=0+a=a

Two integers, x and -x; The sum of any number and this is zero

An expression consisting of one or more numbers and variables…

In a power, it is the large number; It indicates which number…

Additive Identity

For any number a, a+0=0+a=a

Additive Inverse

Two integers, x and -x; The sum of any number and this is zero

conjecture

rule

theorem

equation

An unproven statement about a general mathematical concept.

A proven statement about a general mathematical concept.

A proven statement about a general mathematical concept.

A mathematical sentence that includes an equals sign to compa…

conjecture

An unproven statement about a general mathematical concept.

rule

A proven statement about a general mathematical concept.

algebraic expression

base

coefficient

coordinate system

An expression consisting of one or more numbers and variables…

In an expression of the form x^n, it is the x.

The numerical factor of a term.

The grid formed by the intersection of two number lines, the…

algebraic expression

An expression consisting of one or more numbers and variables…

base

In an expression of the form x^n, it is the x.

absolute value

algebraic expression

coefficient

compound inequality

the distance a number is from zero on a number line. (p. 41)

a mathematical phrase involving at least one variable and som…

a number multiplied by a variable in an algebraic expression.…

2 or more inequalities joined together by "and" or "or". (p.…

absolute value

the distance a number is from zero on a number line. (p. 41)

algebraic expression

a mathematical phrase involving at least one variable and som…

positive numbers

negative numbers

integers

absolute value

the numbers to the right of the zero

the numbers to the left of the zero

the numbers... -3, -2, -1, 0, 1, 2, 3

the distance between 0 and a number on the number line

positive numbers

the numbers to the right of the zero

negative numbers

the numbers to the left of the zero

variables

algebraic expression

factors

product

numbers used to represent certain numbers or values (ex. x)

one or more numbers and variables along with one or more arit…

quantities being multiplied

the result

variables

numbers used to represent certain numbers or values (ex. x)

algebraic expression

one or more numbers and variables along with one or more arit…

factor

prime number

composite number

prime factorization

a number that can be divided evenly into a whole number with…

a number that has exactly two factors, one and itself

a number greater than 1 that has more than two factors

a composite number expressed as a product of prime numbers

factor

a number that can be divided evenly into a whole number with…

prime number

a number that has exactly two factors, one and itself

Algebraic Expression Example

Algebraic Expression

Coefficient Examples

Coefficient

an expression consisting of one or more numbers and variables…

the numerical factor of a term

Algebraic Expression Example

Algebraic Expression

an expression consisting of one or more numbers and variables…

multiplicative identity

associative property

reflexive property

multiplicative property of zero

for any number a, the product of a and 1 is a

the way you group three or more numbers when adding or multip…

any quantity is equal to itself. For any number a, a= a

for any number a, the product of a and 0 is 0

multiplicative identity

for any number a, the product of a and 1 is a

associative property

the way you group three or more numbers when adding or multip…

additive identity

additive inverse

multiplicative identity

multiplicative property of zero

the sum of any number and 0 is equal to the number. thus, 0 i…

two numbers with the sum of zero

7•n= 7, the solution of the equation is 1. since the product…

the product of a number and zero is zero (ex. 9•0=0)

additive identity

the sum of any number and 0 is equal to the number. thus, 0 i…

additive inverse

two numbers with the sum of zero

domain

function

graph

input value

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

A relation in which for each input value there is one and onl…

A graph represents numerical information spatially. The numbe…

The input value is the independent variable in a relation. We…

domain

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

function

A relation in which for each input value there is one and onl…

open sentence

solving the open sentance

solution

equation

mathematical statement with one or more variables

the process of finding a value for a variable that results in…

the replacement value

sentence that contains an equal sign

open sentence

mathematical statement with one or more variables

solving the open sentance

the process of finding a value for a variable that results in…

Dependent Quantity

Independent Quantity

Relation

Domain

The quantity that changes as a result of the independent quan…

The quantity that is free to change.

A set of ordered pairs

The set of input values

Dependent Quantity

The quantity that changes as a result of the independent quan…

Independent Quantity

The quantity that is free to change.

Absolute Value Equation

Conjecture

Equation

Equivalent equations

An equation that contains an absolute value... expression ... Examp…

An unproven statement about a general... mathematical concept

A statement that two expressions are equal... Examples: 4x=16; a…

Equations that have the same solution(s)... Example: 2x - 8 = 0…

Absolute Value Equation

An equation that contains an absolute value... expression ... Examp…

Conjecture

An unproven statement about a general... mathematical concept