How can we help?

You can also find more resources in our Help Center.

variable expression

numeric expression

simplifying expression

grouping symbols

an expression that contains a variable (a symbol used to repr…

an expression, such as 4.50 x 4, that names a particular number

replacing a numerical expression by the simplest name for its…

a device, such as a pair of parentheses, used to enclose an e…

variable expression

an expression that contains a variable (a symbol used to repr…

numeric expression

an expression, such as 4.50 x 4, that names a particular number

properties of equality

equivalent equations

solutions of equations

identity

When you perform a math operation to one side of an equation,…

Equations that have the same solution set over a given domain

values of the variable that make equations true.

an equation that is true for every value of the variables

properties of equality

When you perform a math operation to one side of an equation,…

equivalent equations

Equations that have the same solution set over a given domain

variable expression

numeric expression

simplifying expression

grouping symbols

an expression that contains a variable (a symbol used to repr…

an expression, such as 4.50 x 4, that names a particular number

replacing a numerical expression by the simplest name for its…

a device, such as a pair of parentheses, used to enclose an e…

variable expression

an expression that contains a variable (a symbol used to repr…

numeric expression

an expression, such as 4.50 x 4, that names a particular number

commutative property of addition

commutative property of multiplication

associative property of addition

associative property of multiplication

changing the order of addends does not change the sum, i.e. i…

changing the order of factors does not change the product, i.…

when we add more than two numbers the grouping of the addends…

when we multiply more than two numbers the grouping of the fa…

commutative property of addition

changing the order of addends does not change the sum, i.e. i…

commutative property of multiplication

changing the order of factors does not change the product, i.…

whole numbers

integers

rational numbers

irrational numbers

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

...,-3,-2,-1,0,1,2,3,...

numbers such as (3/4), (1/3), and (-4/1) (or -4) that can be…

real numbers that are not rational, such as √2 and π. when wr…

whole numbers

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

integers

...,-3,-2,-1,0,1,2,3,...

variable

variable expression

numerical expression

power

a symbol (like x or y) that is used in mathematical or logica…

consists of constants (numbers), variables, and operations

an expression that includes numbers and operations

a mathematical expression with a base and an exponent

variable

a symbol (like x or y) that is used in mathematical or logica…

variable expression

consists of constants (numbers), variables, and operations

Graph of an Inequality

< or >

_< or _>

Equivalent Inequalities

One variable is the set of points that represent all solution…

open circle

closed circle

inequalities that have the same solutions

Graph of an Inequality

One variable is the set of points that represent all solution…

< or >

open circle

Absolute value

Algebraic expression

Area

Binomial

the distance a number is from zero (y=|x|)

contains numbers, variables, and operations (no equal sign)

the amount of space within a 2-dimensional figure

an expression that contains two terms

Absolute value

the distance a number is from zero (y=|x|)

Algebraic expression

contains numbers, variables, and operations (no equal sign)

real number

integer

opposite

absolute value

any positive or negative number that can be shown on the numb…

the whole numbers and their opposites plus zero

two numbers that are the same distance from zero on the numbe…

The distance a number is from zero on a number line

real number

any positive or negative number that can be shown on the numb…

integer

the whole numbers and their opposites plus zero

Random sample

Stratified random sample

Systematic sample

Convenience sample

Every member of the population has an equal chance of bing se…

The population is divided into distinct groups. Members are s…

A rule is used to select members of the population.

Only members of the population who are easily accessible are…

Random sample

Every member of the population has an equal chance of bing se…

Stratified random sample

The population is divided into distinct groups. Members are s…

variable

variable expression

numerical expression

power

a symbol (like x or y) that is used in mathematical or logica…

consists of constants (numbers), variables, and operations

an expression that includes numbers and operations

a mathematical expression with a base and an exponent

variable

a symbol (like x or y) that is used in mathematical or logica…

variable expression

consists of constants (numbers), variables, and operations

Real Number

Real Number Line

Origin

Positive Numbers

The set of numbers consisting of the positive numbers, the ne…

A line that pictures real numbers as points.

The point labeled zero on a number line.

Any of the numbers greater than zero.

Real Number

The set of numbers consisting of the positive numbers, the ne…

Real Number Line

A line that pictures real numbers as points.

variable

algebraic expression

power

exponent

a letter used to represent one or more numbers

consists of numbers, variables, and operations

expression that represents repeated multiplication of the sam…

the number of times a base is used as a factor

variable

a letter used to represent one or more numbers

algebraic expression

consists of numbers, variables, and operations

variable

variable expression

numerical expression

power

a symbol (like x or y) that is used in mathematical or logica…

consists of constants (numbers), variables, and operations

an expression that includes numbers and operations

a mathematical expression with a base and an exponent

variable

a symbol (like x or y) that is used in mathematical or logica…

variable expression

consists of constants (numbers), variables, and operations

relation

domain x

range y

function

mapping, or pairing, of input values with output values

the set of input values

the set of output values

relation with only one output value for each input value

relation

mapping, or pairing, of input values with output values

domain x

the set of input values

Dependent Quantity

Independent Quantity

Relation

Domain

When one quantity depends on another in a problem situation.…

The quantity that the dependent quantity depends upon.(x)

The mapping between a set of input values (EX. a list of data…

The set of input values

Dependent Quantity

When one quantity depends on another in a problem situation.…

Independent Quantity

The quantity that the dependent quantity depends upon.(x)

variable

algebraic expression

power

exponent

a letter used to represent one or more numbers

consists of numbers, variables, and operations

expression that represents repeated multiplication of the sam…

the number of times a base is used as a factor

variable

a letter used to represent one or more numbers

algebraic expression

consists of numbers, variables, and operations

Variable

Value

Variable expression

Power

A variable is a letter used to represent an unknown number.

Numbers are the values of a variable.

A collection of numbers, variables, and operations.

An expression like 4 to the 6th

Variable

A variable is a letter used to represent an unknown number.

Value

Numbers are the values of a variable.

variable

variable expression

numerical expression

power

a symbol (like x or y) that is used in mathematical or logica…

consists of constants (numbers), variables, and operations

an expression that includes numbers and operations

a mathematical expression with a base and an exponent

variable

a symbol (like x or y) that is used in mathematical or logica…

variable expression

consists of constants (numbers), variables, and operations

real number

integer

opposite

absolute value

any positive or negative number that can be shown on the numb…

the whole numbers and their opposites plus zero

two numbers that are the same distance from zero on the numbe…

The distance a number is from zero on a number line

real number

any positive or negative number that can be shown on the numb…

integer

the whole numbers and their opposites plus zero

real number

integer

opposite

absolute value

any positive or negative number that can be shown on the numb…

the whole numbers and their opposites plus zero

two numbers that are the same distance from zero on the numbe…

The distance a number is from zero on a number line

real number

any positive or negative number that can be shown on the numb…

integer

the whole numbers and their opposites plus zero

constant

variable

numerical expression

variable expression

a number (without a variable)

a symbol representing one or more numbers

a phrase that only includes numbers and operations

a mathematical phrase that includes a variable

constant

a number (without a variable)

variable

a symbol representing one or more numbers

Equivalent equations

Inverse operations

Solution step

similar triangles

equations with the same solutions as the original equation

operations that undo each other, such as addition and subtrac…

The result of applying a transformation to an equation when s…

Two triangles are similar if they have equal corresponding an…

Equivalent equations

equations with the same solutions as the original equation

Inverse operations

operations that undo each other, such as addition and subtrac…

variable

variable expression

numerical expression

power

a symbol (like x or y) that is used in mathematical or logica…

consists of constants (numbers), variables, and operations

an expression that includes numbers and operations

a mathematical expression with a base and an exponent

variable

a symbol (like x or y) that is used in mathematical or logica…

variable expression

consists of constants (numbers), variables, and operations

Origin

Graph of a number

Opposites

Absolute value

The point on a number line or graph labeled zero.

The point on a number line that corresponds to the number

Two numbers that are the same distance from the origin, but o…

The distance between the origin and the point representing th…

Origin

The point on a number line or graph labeled zero.

Graph of a number

The point on a number line that corresponds to the number

Multiplying two similar binomials.

Two similar binomials with a common te…

Multiplying two identical binomials.

A = bh

(1x + 1)(1x + 1)

(x + 1a)(x + 1b)

(y + 1)(y + 1)

Area of a rectangle.

Multiplying two similar binomials.

(1x + 1)(1x + 1)

Two similar binomials with a common te…

(x + 1a)(x + 1b)

Dot Plot

Data distribution

Discrete Data

Symmetric distribution

Graph that shows how discrete data are distributed using a nu…

The way in which the data is spread out or clustered together

Data that has only a finite number of values or data that can…

The left and right halves of the graph are nearly mirror imag…

Dot Plot

Graph that shows how discrete data are distributed using a nu…

Data distribution

The way in which the data is spread out or clustered together

absolute value

algebraic expression

coefficient

constant

the distance a number x is from zero on the number line.....d…

an expression that contain at least one variable

a number that is multiplied by a variable...... example: in 2x +…

a value that does not change... example: in 2x + 3, 3 is the con…

absolute value

the distance a number x is from zero on the number line.....d…

algebraic expression

an expression that contain at least one variable

inequality

solution to inequality

intersection

union

A statement that compares two expressions with symbols such a…

Value or values that make an inequality a true statement

set of all elements that are common to both sets

set of all elements that are in either set

inequality

A statement that compares two expressions with symbols such a…

solution to inequality

Value or values that make an inequality a true statement

substitute

substitution property

Substitution Method... Step 1:

Substitution Method... Step 2:

replace a quantity with its equal

states that a quantity may be substituted for its equal. ... So…

Substitute an equivalent expression for a variable into one o…

Solve the resulting equation for the other variable. (We solv…

substitute

replace a quantity with its equal

substitution property

states that a quantity may be substituted for its equal. ... So…

contradiction

equation

formula

identity

no solution when solving for variable

mathematical statement with 2 expressions equal to each other

equation that states a rule for a relationship among quantities

equations that is True for all variables ( all real numbers)

contradiction

no solution when solving for variable

equation

mathematical statement with 2 expressions equal to each other

algebraic expression

3

variable

terms

a collection of numbers and letters combined using arithmetic…

which is the numeric coefficient in the term 3n

a letter which represents an unknown value

quantities in expressions separated by addition and subtracti…

algebraic expression

a collection of numbers and letters combined using arithmetic…

3

which is the numeric coefficient in the term 3n

coefficient

constant

corresponding sides of polygons

corresponding angles

a number that is multiplied by a variable.

a value that does not change.

sides in the same relative position in polygons with an equal…

angles in the same relative position in polygons with an equa…

coefficient

a number that is multiplied by a variable.

constant

a value that does not change.

variable

algebraic expression

evaluate an algebraic expression

power

A factor that can change in an experiment

an expression that contains at least one variable

to find the value of an algebraic expression by substituting…

A number produced by raising a base to an exponent

variable

A factor that can change in an experiment

algebraic expression

an expression that contains at least one variable

Power

Exponent

Base

Simplify

A number produced by raising a base to an exponent

A mathematical notation indicating the number of times a quan…

a number that is multiplied repeatedly

to write an expression in a simpler form

Power

A number produced by raising a base to an exponent

Exponent

A mathematical notation indicating the number of times a quan…

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 rat…

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 rat…

what word is interchangeable with enth…

since enthalpy is very hard to measure…

symbol for enthalpy? enthalpy change?

when is enthalpy of products > enthalp…

energy

enthalpy change

H, ΔH

endothermic, pos, absorbed, system (reaction), surroundings (…

what word is interchangeable with enth…

energy

since enthalpy is very hard to measure…

enthalpy change

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.

x-axis

y-axis

domain

range

the horizontal axis of the coordinate plane.

the vertical axis of the coordinate plane.

the input of the function (x-values).

the output of the function (y-values).

x-axis

the horizontal axis of the coordinate plane.

y-axis

the vertical axis of the coordinate plane.

Binomial Theorem

Conjugate Root Theorem

end behavior

expand

a theorem that gives the expansion formula for (a+b)^n.

(a + bi)*(a - bi) = a^2 + b^2

the behavior of the graph as x approaches positive infinity o…

to complete the multiplication of two or more binomials.

Binomial Theorem

a theorem that gives the expansion formula for (a+b)^n.

Conjugate Root Theorem

(a + bi)*(a - bi) = a^2 + b^2

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…

Algebraic Expression

Equation

P.E.M.D.A.S

Rational Number

A mathematical phrase that can include numbers, variables, an…

A mathematical sentence that uses the equal sign. The example…

Acronym used to remember the order of operations. For PEMDAS…

Any number that can be written in the form a/b, where a and b…

Algebraic Expression

A mathematical phrase that can include numbers, variables, an…

Equation

A mathematical sentence that uses the equal sign. The example…