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Term

Numerical Coefficient

Like terms

Combine like terms

A number or the product of a number and variables raised to p…

The numerical factor

Same Last Name... Exactly... Same Variable and same Exponent

Add the coefficients and keep the last name

Term

A number or the product of a number and variables raised to p…

Numerical Coefficient

The numerical factor

variable

coefficient

constant

term

a variable is a letter that represents a number. this number…

a coefficient is a number or symbol that is multiplying a var…

a constant is a quantity that does not change in value, i.e.…

a constant, a variable or a constant multiplied by a variable…

variable

a variable is a letter that represents a number. this number…

coefficient

a coefficient is a number or symbol that is multiplying a var…

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…

sum

product

coefficient

identity

the total of adding numbers

the total of multiplying numbers

the numerical factor of a term that contains a variable

an equation that is true for every value for the variable

sum

the total of adding numbers

product

the total of multiplying numbers

Equivalent equations

Addition property of equality

Subtraction property of equality

Isolate

Equations that have the same solution.

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

Subtracting the same number from each side of an equation pro…

Using properties of equality and inverse operations to get a…

Equivalent equations

Equations that have the same solution.

Addition property of equality

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

conversion factor

cross products

equivalent equations

inverse operations

a ratio of two equivalent measures in different units

the product of the diagonal when comparing two ratios

equations that have the same solution

operations that undo each other

conversion factor

a ratio of two equivalent measures in different units

cross products

the product of the diagonal when comparing two ratios

Parent Function

Line of Best Fit

Scatterplot

Reflection

Simplest form of a set of functions that form a family

The trend line that finds the most accurate model of related…

Graph that relates two different sets of data by plotting the…

Flips the graph of a function across a line

Parent Function

Simplest form of a set of functions that form a family

Line of Best Fit

The trend line that finds the most accurate model of related…

formula

solve an equation

equivalent equations

multi-step equations

a rule for the relationship between certain quantities

means to find the value of the variable that makes the equati…

have the same solution

undo each operation by working backward

formula

a rule for the relationship between certain quantities

solve an equation

means to find the value of the variable that makes the equati…

correlation

direct variation

domain

function

a measure of the relationship between two variables. (p. 92)

an equation of the form y=kx, where k does not equal 0. (p. 68)

the input set of a function. (p. 61)

an equation that, when given an input, gives a specific outpu…

correlation

a measure of the relationship between two variables. (p. 92)

direct variation

an equation of the form y=kx, where k does not equal 0. (p. 68)

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…

Order of Operations

variable

terms

constants

rules that tell which operation to do first

a letter that represents a number

parts of an expression separated by a + or a - sign

numbers, or qualities, that do not change

Order of Operations

rules that tell which operation to do first

variable

a letter that represents a number

Formula

Equivalent Equations

Equation

Addition Property of Equality

A rule for the relationship between certain quantities.

Have the same solution.

A mathematical sentence that contains an equal sign.

For any real numbers a, b, and c, if a=b, then a+c=b+c

Formula

A rule for the relationship between certain quantities.

Equivalent Equations

Have the same solution.

Order of Operations

variable

terms

constants

rules that tell you which operations to do first

a letter that represents a number

parts of an expression separated by a + or - sign

numbers, or quantities, that do not change

Order of Operations

rules that tell you which operations to do first

variable

a letter that represents a number

relation

domain

range

function

a mapping, or pairing, of input vales with output values

the set of input values of a relation

the set of output values of a relation

a relation for which each input has exactly one output

relation

a mapping, or pairing, of input vales with output values

domain

the set of input values of a relation

5√2

(13/2 , -45/2)

(17,-10)

(16,-11)

Find the distance between the points (4,-25) and (9,-20)

Find the midpoint of (4,-25) and (9,-20)

Find the other endpoint given the midpoint (12,-8) and endpoi…

Find the other endpoint given the midpoint (12,-15) and endpo…

5√2

Find the distance between the points (4,-25) and (9,-20)

(13/2 , -45/2)

Find the midpoint of (4,-25) and (9,-20)

absolute value function

boundary

constant function

dependent variable

a function where f(x) ≥ 0 for all values of x

a line or curve that separates the coordinate plane into two…

a linear function of the from f(x) = b

the variable whose values depend on the values of the indepen…

absolute value function

a function where f(x) ≥ 0 for all values of x

boundary

a line or curve that separates the coordinate plane into two…

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.

changing from one unit to another via conversion factors... aka…

equations that have the same solution

In a proportion, the numerator of the first fraction and the…

Consecutive Integers

integers in counting order, such as 4, 5, 6 or n, n+1, and n+2.

Dimensional Analysis

changing from one unit to another via conversion factors... aka…

coordinate plane

function

input

ordered pair

A plane formed by the intersection of a horizontal number lin…

An input-output relationship that has exactly one output for…

The value substituted into an expression or function.

A pair of numbers that can be used to locate a point on a coo…

coordinate plane

A plane formed by the intersection of a horizontal number lin…

function

An input-output relationship that has exactly one output for…

COMPRESS

DILATION

DOMAIN

EVEN FUNCTION

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

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 grap…

DILATION

A transformation which vertically compresses or stretches the…

conversion factor

cross products

equivalent equations

formula

a ratio of two equivalent measures in different units

in A/B and C/D, AD and BC are cross products

Equations that have the same solutions

An equation that states the relationship among quantities

conversion factor

a ratio of two equivalent measures in different units

cross products

in A/B and C/D, AD and BC are cross products

Consecutive Integers

Dimensional Analysis

Equivalent Equations

Extremes

Integers in counting order

The process of carrying units throughout a computation

Equations that have the same solution

The outer terms of the proportion

Consecutive Integers

Integers in counting order

Dimensional Analysis

The process of carrying units throughout a computation

Dimensional analysis

Equivalent equations

Extremes

Formula

The process of carrying units throughout a computation.

Equations that have the same solution.

In the ratio a/b = c/d , a and d are the extremes.

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

Dimensional analysis

The process of carrying units throughout a computation.

Equivalent equations

Equations that have the same solution.

1 step Equation

2 step Equation

Multi - Step Equation

Identity

get the variable by itself by undoing the problem... - addition…

get the variable by itself by undoing the problem, reverse th…

get the variable by itself by undoing the problem, reverse th…

both sides of equal sign are same

1 step Equation

get the variable by itself by undoing the problem... - addition…

2 step Equation

get the variable by itself by undoing the problem, reverse th…

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…

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…

Real numbers

Natural numbers

Whole numbers

Integers

Encompasses all number systems

The positive counting numbers (1,2,3,...)

The positive counting numbers including zero (0,1,2,3,...)

The set of positive and negative whole numbers

Real numbers

Encompasses all number systems

Natural numbers

The positive counting numbers (1,2,3,...)

An equation is a function if...

Definition of a function

Vertical Line Test

Even Function

each x-value has only one y-value

a correspondence from a first set, called the domain, to a se…

if any vertical line intersects a graph in more than one poin…

f(-x) = f(x), reflected over y-axis

An equation is a function if...

each x-value has only one y-value

Definition of a function

a correspondence from a first set, called the domain, to a se…

conversion factor

cross product

equivalent equations

formula

a ratio of 2 equivalent measures in different units.

when you multiply the d of one fraction by the n of the other…

equations that have the same solutions.

an equation that states a relationship among quantities.

conversion factor

a ratio of 2 equivalent measures in different units.

cross product

when you multiply the d of one fraction by the n of the other…

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 (=)

absolute value

the distance a number is from zero on the number line

additive inverse

an integer and its opposite

formula (2.1)

solve an equation (2.2)

equivalent equations (2.2)

subtraction property of equality (2.2)

a rule for the relationship between certain quantities

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

have the same solution

if an equation is true and the same number is subtracted from…

formula (2.1)

a rule for the relationship between certain quantities

solve an equation (2.2)

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

Equivalent Fractions

Least Common Denominator (LCD)

Simplest Form

Proper Fraction

Fractions that represent the same number

The least common multiple of the denominators of two or more…

a fraction is in simplest form if its numerator and denominat…

A fraction whose numerator is less than its denominator

Equivalent Fractions

Fractions that represent the same number

Least Common Denominator (LCD)

The least common multiple of the denominators of two or more…

opposites

additive inverse

mean

transformation

two numbers with the same absolute value but different signs…

a number and its opposite... example: -4 and 4

another word for finding the average of a set.

moving a shape so that it is in a different position, but sti…

opposites

two numbers with the same absolute value but different signs…

additive inverse

a number and its opposite... example: -4 and 4

absolute value

definition of algebraic subtraction

axiom

coordinate

the absolute value of a number n, represented as |n|, is its…

for all rational numbers a & b, a-b = a + (-b)

a property that is accepted to be true without proof.

the number that corresponds to the point.

absolute value

the absolute value of a number n, represented as |n|, is its…

definition of algebraic subtraction

for all rational numbers a & b, a-b = a + (-b)

x-intercept

y-intercept

Rate of Change

Constant Rate of Change

Where the line crosses the x axis and y=0

Where the line crosses the y axis and x=0

A ratio (fraction) that compares how one quantity changes (on…

A rate of change that changes that same way every time

x-intercept

Where the line crosses the x axis and y=0

y-intercept

Where the line crosses the y axis and x=0

Order of Operations

Variable

Terms

Constants

Rules that tell you which operations to do first

A letter that represents a number

Parts of an expression separated by a + or - sign

Numbers, or quantities, that do not change

Order of Operations

Rules that tell you which operations to do first

Variable

A letter that represents a number

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…

The Distributive Property

Distribute: x (2 + x)

8x + 16y - 24z

Like terms

The FACTOR on the outside of the parentheses distributes (mul…

2x + x²

Distribute: 8 (x + 2y - 3z)

Terms that are separated by "+" or "-" can only be combined i…

The Distributive Property

The FACTOR on the outside of the parentheses distributes (mul…

Distribute: x (2 + x)

2x + x²

absolute value function

constant of variation

dependent variable

direct variation

a function of form f(x)

the constant of variation is the value of k in the direct var…

if y depends on the variable x then y is the dependent variable

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

absolute value function

a function of form f(x)

constant of variation

the constant of variation is the value of k in the direct var…

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

first differences

solution

intersection point

compound inequality

determined by calculating the difference between successive p…

any value that makes the open sentence true

the ordered pair that satisfies both functions at the same time

an inequality that is formed by the union, "or," or the inter…

first differences

determined by calculating the difference between successive p…

solution

any value that makes the open sentence true

relation

domain

range

function

a set of pairs of input and output values

set of all inputs, or x-coordinates

set of all outputs, or y coordinates

a relation in which each element of the domain is paired with…

relation

a set of pairs of input and output values

domain

set of all inputs, or x-coordinates