Upward Bound - Mega Vocab Review

additive inverse

the opposite of a number; used when subtracting numbers;

a line that best models a set of data

equation that contains an absolute value expression

vertical difference between data point and point on the line of best fit

y-axis

the vertical number line on the coordinate plane

the set of all elements that are common to both sets, denoted by ∩; an "AND" situation

a transformation that pushes all points on a graph away from the y-axis or toward the y-axis

any ordered pair that makes the inequality true

simplest form

a fraction in which the greatest common factor of the numerator and denominator is one; there are no numbers the numerator and denominator can be divided by evenly

a function containing |x|, graph is shaped like a V

relationship between data sets

the vertical number line on the coordinate plane

identity

equation that is true for all values of the variable

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

the number in a power that is repeatedly multiplied;

an inequality containing an absolute value

surface area

total area of the faces of a three-dimensional object

a linear function that models a real life situation

a number which when multiplied by itself gives the original number;

the opposite of a number; used when subtracting numbers;

intersection

the set of all elements that are common to both sets, denoted by ∩; an "AND" situation

I = Prt

method of solving a system of linear equations that involves getting one of the variables terms to be opposites of each other and then adding the equations vertically

ordered list of numbers

open circle

used when graphing < or > on a number line to show that the value is not included

d = rt

a group of functions that have similar characteristics

the set of y values in a relation

function

a special type of relation that pairs each domain value with exactly one range value

value that makes an equation true

a common multiple of the denominators of two or more fractions

perpendicular number lines that make up the coordinate plane

standard form of a linear equation

Ax + By = C

estimating a value between known numbers

a number whose positive square root is a whole number

a system of linear equations with one or more solutions, the graphs intersect

constant function

function of the form y = constant or f(x) = constant, such as y = -2, graph is a horizontal line

statement that two expressions are equal

a statement that compares two expressions using one of the following signs: >, <, ≤, ≥, ≠

any ordered pair that makes the inequality true

absolute value function

a function containing |x|, graph is shaped like a V

a diagram that shows how a specific relation maps input values to output values

graphs with only distinct points, not all values in the domain work

a method of finding the best line of fit for a linear relationship

opposites

numbers that are the same distance from zero on the number line, but on the opposite sides of zero, two numbers whose sum is zero

an inequality containing an absolute value

a linear equation written in the form y = mx + b, where m represents slope and b represent the y-intercept

the output of a function; it's value depends in the independent variable; graphed on the y-axis; the variable that is "controlled"

reciprocal

one of a pair of numbers whose product is 1, also known as the multiplicative inverse, sometimes called the "flip of a number", used when dividing fractions

d = rt

intersecting lines that form 90° angles; their slopes are opposite reciprocals

a graph in which two sets of data are plotted as ordered pairs on a coordinate plane; the results are used to identify trends and any type of correlation.

power

an expression written with an exponent and a base

one of the four areas defined by the axes of the coordinate plane, the first quadrant is located in the upper right and the remaining three are numbered in a counter-clockwise direction from there

an inequality containing an absolute value

a function that consists of different function rules for different parts of the domain

square root

a number which when multiplied by itself gives the original number;

distance a number is away from zero on the number line

the second value in an ordered pair, indicates the number of units to move up or down from the origin;

graphs connected by lines or curves

exponent

the number that tells how many times the base is used as a factor in a power;

difference between terms in an arithmetic sequence

a method of finding the best line of fit for a linear relationship

intersecting lines that form 90° angles; their slopes are opposite reciprocals

base

the number in a power that is repeatedly multiplied;

greater than

vertical difference between data point and point on the line of best fit

C = (5/9)(F - 32)

multiplicative inverse

one of a pair of numbers whose product is 1, also known as reciprocal, sometimes called the "flip of a number"; used when dividing fractions

a change in the position, shape, or size of a figure

a number which when multiplied by itself gives the original number;

a common multiple of the denominators of two or more fractions

perfect square

a number whose positive square root is a whole number

a function containing |x|; graph is shaped like the letter v

value that makes an equation true

I = Prt

axes

perpendicular number lines that make up the coordinate plane

I = Prt

a line that best models a set of data

less than

origin

the point of intersection of the two perpendicular number lines making up the coordinate plane, located at the point (0, 0)

distance a number is away from zero on the number line

three digits to the right of the decimal point; example: in the number 3.27584, 5 is in this position

C = (5/9)(F - 32)

ordered pair

consists of a horizontal component (x) and a vertical component (y) of a point, written in the form (x, y);

a transformation that moves each point of a figure the same distance and in the same direction, a "slide"

a fraction in which the greatest common factor of the numerator and denominator is one; there are no numbers the numerator and denominator can be divided by evenly

the vertical number line on the coordinate plane

x-axis

the horizontal number line on the coordinate plane

mathematical phrase that contains numbers, symbols and operations, but no equals sign

one of a pair of numbers whose product is 1, also known as the multiplicative inverse, sometimes called the "flip of a number", used when dividing fractions

formed by the intersection of two perpendicular number lines; used to graph ordered pairs

order of operations

rules specifying the order in which operations in an expression should be performed: perform operations inside grouping symbols, evaluate powers, perform multiplication and division from left to right, perform addition and subtraction from left to right; PEMDAS and "Please excuse my dear Aunt Sally" can be used to help remember

one of a pair of numbers whose product is 1, also known as reciprocal, sometimes called the "flip of a number"; used when dividing fractions

proven statement about a general mathematical concept

unproven statement about a general mathematical concept

coordinate plane

formed by the intersection of two perpendicular number lines; used to graph ordered pairs

distance a number is away from zero on the number line

the x-coordinate of the point where a line crosses the x-axis, to find put in 0 for y

one of a pair of numbers whose product is 1, also known as reciprocal, sometimes called the "flip of a number"; used when dividing fractions

x-coordinate

the first value in an ordered pair, indicates the number of units to move right or left from the origin;

the number in a power that is repeatedly multiplied;

a linear function that models a real life situation

the set of all elements that are in either set, denoted by ∪; an "OR" situation

y-coordinate

the second value in an ordered pair, indicates the number of units to move up or down from the origin;

vertical change when the slope of a line is expressed as the ratio

two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position

an expression written with an exponent and a base

quadrant

one of the four areas defined by the axes of the coordinate plane, the first quadrant is located in the upper right and the remaining three are numbered in a counter-clockwise direction from there

two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position

function of the form y = constant or f(x) = constant, such as y = -2, graph is a horizontal line

equations that have the same solution(s)

hundredths

two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position

the input of a function; the value of the dependent variable depends on; graphed on the x-axis; the variable that is "in control"

two or more linear equations in the same variables

tenths

one digit to the right of the decimal point; example: in the number 3.84, 8 is in this position

the process for dividing fractions; keep the first fraction, change the division to multiplication, and take the reciprocal of the second fraction

graphs with only distinct points, not all values in the domain work

the output of a function; it's value depends in the independent variable; graphed on the y-axis; the variable that is "controlled"

thousandths

three digits to the right of the decimal point; example: in the number 3.27584, 5 is in this position

a linear equation written in the form y = mx + b, where m represents slope and b represent the y-intercept

a line that best models a set of data

rules specifying the order in which operations in an expression should be performed: perform operations inside grouping symbols, evaluate powers, perform multiplication and division from left to right, perform addition and subtraction from left to right; PEMDAS and "Please excuse my dear Aunt Sally" can be used to help remember

common denominator

a common multiple of the denominators of two or more fractions

"r value" between -1 and 1, the closer to 1 or -1, the stronger the relationship between the two variables

two operations that undo each other, such as addition and subtraction, multiplication and division

a function whose graph looks like a series of steps

keep, change, flip (KCF)

the process for dividing fractions; keep the first fraction, change the division to multiplication, and take the reciprocal of the second fraction

horizontal change when the slope of a line is expressed as the ratio

less than or equal to

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

conjecture

unproven statement about a general mathematical concept

a system of linear equations with one or more solutions, the graphs intersect

an equation in the form y - y₁ = m(x - x₁) where (x₁, y₁) are the coordinates of a point on the line and m is the slope of the line

statement that two expressions are equal

rule/theorem

proven statement about a general mathematical concept

intersecting lines that form 90° angles; their slopes are opposite reciprocals

graphs connected by lines or curves

greater than or equal to

solution of an equation

value that makes an equation true

literal equation that shows how one variable is related to one or more other variables

the input of a function; the value of the dependent variable depends on; graphed on the x-axis; the variable that is "in control"

the set of all elements that are in either set, denoted by ∪; an "OR" situation

equation

statement that two expressions are equal

the set of y values in a relation

a function containing |x|; graph is shaped like the letter v

f(x), read "f of x", where y = f(x)

inverse operations

two operations that undo each other, such as addition and subtraction, multiplication and division

equation of a line in the form y = mx +b, where m is the slope and b is the y-intercept

total area of the faces of a three-dimensional object

a sequence whose consecutive terms have a common difference

absolute value

distance a number is away from zero on the number line

graphs with only distinct points, not all values in the domain work

a system of linear equations with one solution, the graphs intersect at one point

intersecting lines that form 90° angles; their slopes are opposite reciprocals

equivalent equations

equations that have the same solution(s)

method of solving a system of linear equations that involves first solving one of the equations for one of the variables, then replacing that variable with what it is equal to in the other equation

the process for dividing fractions; keep the first fraction, change the division to multiplication, and take the reciprocal of the second fraction

opposite

number that is the same distance from zero, but on the other side of zero

add the numbers and divide by number of values in the set, also known as the average

any ordered pair that makes all of the equations in a system true

vertical difference between data point and point on the line of best fit

absolute value equation

equation that contains an absolute value expression

when dividing or multiplying both sides of an inequality by a negative number we need to do this

any ordered pair that makes the inequality true

regions on either side of a line in a plane

extraneous solution

apparent solution that must be rejected because it does not satisfy the original equation

an equation in the form y - y₁ = m(x - x₁) where (x₁, y₁) are the coordinates of a point on the line and m is the slope of the line

graphs with only distinct points, not all values in the domain work

less than

expression

mathematical phrase that contains numbers, symbols and operations, but no equals sign

a function that consists of different function rules for different parts of the domain

a special type of relation that pairs each domain value with exactly one range value

intersecting lines that form 90° angles; their slopes are opposite reciprocals

formula

literal equation that shows how one variable is related to one or more other variables

multiplicative inverse of a number, "flipping" a fraction

a number which when multiplied by itself gives the original number;

the set of all elements that are in either set, denoted by ∪; an "OR" situation

mean

add the numbers and divide by number of values in the set, also known as the average

the set of all elements that are in either set, denoted by ∪; an "OR" situation

a function whose graph looks like a series of steps

a number which when multiplied by itself gives the original number;

temperature conversion formula

C = (5/9)(F - 32)

two numbers used to locate a point on a coordinate grid listed in a specific order (x, y)

relationships represented by a set of ordered pairs

less than or equal to

literal equation

equation that has two or more different variables

two simple inequalities that are combined into one statement by the words "and" or "or"

two or more linear inequalities in the same variables

distance formula

d = rt

formed by the intersection of two perpendicular number lines; used to graph ordered pairs

method of solving a system of linear equations that involves first solving one of the equations for one of the variables, then replacing that variable with what it is equal to in the other equation

unproven statement about a general mathematical concept

linear equation in one variable

equation that can be written in the form ax + b = 0 where a and b are constants and a ≠ 0

difference between terms in an arithmetic sequence

the x-coordinate of the point where a line crosses the x-axis, to find put in 0 for y

a number which when multiplied by itself gives the original number;

compound inequality

two simple inequalities that are combined into one statement by the words "and" or "or"

distance a number is away from zero on the number line

a number whose positive square root is a whole number

perpendicular number lines that make up the coordinate plane

inequality

a statement that compares two expressions using one of the following signs: >, <, ≤, ≥, ≠

each number in a sequence

a method of finding the best line of fit for a linear relationship

the vertical number line on the coordinate plane

simple interest formula

I = Prt

graphs connected by lines or curves

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

solution of an inequality

any value that makes the inequality true

a group of functions that have similar characteristics

one digit to the right of the decimal point; example: in the number 3.84, 8 is in this position

union

the set of all elements that are in either set, denoted by ∪; an "OR" situation

m = (y₂ - y₁) / (x₂ - x₁)

consists of a horizontal component (x) and a vertical component (y) of a point, written in the form (x, y);

a statement that compares two expressions using one of the following signs: >, <, ≤, ≥, ≠

<

less than

total area of the faces of a three-dimensional object

a linear function that models a real life situation

proven statement about a general mathematical concept

>

greater than

distance a number is away from zero on the number line

any value that makes the inequality true

estimating a value between known numbers

≤

less than or equal to

function of the form y = constant or f(x) = constant, such as y = -2, graph is a horizontal line

any ordered pair that makes all of the equations in a system true

regions on either side of a line in a plane

≥

greater than or equal to

a function whose graph looks like a series of steps

any value that makes the inequality true

the vertical number line on the coordinate plane

flip the inequality symbol

when dividing or multiplying both sides of an inequality by a negative number we need to do this

two numbers used to locate a point on a coordinate grid listed in a specific order (x, y)

any ordered pair that makes the inequality true

the y-coordinate of the point where a line crosses the y-axis, to find put in 0 for x

absolute value inequality

an inequality containing an absolute value

mathematical phrase that contains numbers, symbols and operations, but no equals sign

the vertical number line on the coordinate plane

relationship between data sets

filled circle

used when graphing ≤ or ≥ on a number line to show that the value is included

any value that makes the inequality true

a function that a can be expressed in the form f(x) = mx + b and has a graph which is a straight line

two lines in the same plane that never intersect; have the same slope, but different y-intercept

continuous graph

graphs connected by lines or curves

a linear equation written in the form y = mx + b, where m represents slope and b represent the y-intercept

total area of the faces of a three-dimensional object

unproven statement about a general mathematical concept

discrete graph

graphs with only distinct points, not all values in the domain work

a linear function that models a real life situation

a function containing |x|; graph is shaped like the letter v

"r value" between -1 and 1, the closer to 1 or -1, the stronger the relationship between the two variables

relation

relationships represented by a set of ordered pairs

m = (y₂ - y₁) / (x₂ - x₁)

a transformation that pushes all points on a graph away from the x-axis or toward the x-axis

the x-coordinate of the point where a line crosses the x-axis, to find put in 0 for y

domain

the set of x values in a relation

relationships represented by a set of ordered pairs

an expression written with an exponent and a base

distance a number is away from zero on the number line

range

the set of y values in a relation

I = Prt

a change in the position, shape, or size of a figure

C = (5/9)(F - 32)

independent variable

the input of a function; the value of the dependent variable depends on; graphed on the x-axis; the variable that is "in control"

statement that two expressions are equal

d = rt

add the numbers and divide by number of values in the set, also known as the average

dependent variable

the output of a function; it's value depends in the independent variable; graphed on the y-axis; the variable that is "controlled"

greater than or equal to

two operations that undo each other, such as addition and subtraction, multiplication and division

the opposite of a number; used when subtracting numbers;

function notation

f(x), read "f of x", where y = f(x)

equation that can be written in the form ax + b = 0 where a and b are constants and a ≠ 0

horizontal change when the slope of a line is expressed as the ratio

greater than or equal to

mapping diagram

a diagram that shows how a specific relation maps input values to output values

f(x) = |x - h| + k, where the vertex is located at the point (h, k)

total area of the faces of a three-dimensional object

a transformation that flips the figure over a line

ordered pair

two numbers used to locate a point on a coordinate grid listed in a specific order (x, y)

total area of the faces of a three-dimensional object

apparent solution that must be rejected because it does not satisfy the original equation

the y-coordinate of the point where a line crosses the y-axis, to find put in 0 for x

nonlinear function

a function with a graph that is not a straight line

two lines in the same plane that never intersect; have the same slope, but different y-intercept

literal equation that shows how one variable is related to one or more other variables

equation that can be written in the form ax + b = 0 where a and b are constants and a ≠ 0

linear function

a function that a can be expressed in the form f(x) = mx + b and has a graph which is a straight line

equation that contains an absolute value expression

the number that tells how many times the base is used as a factor in a power;

y-intercept

the y-coordinate of the point where a line crosses the y-axis, to find put in 0 for x

an expression written with an exponent and a base

intersecting lines that form 90° angles; their slopes are opposite reciprocals

a line that best models a set of data

x-intercept

the x-coordinate of the point where a line crosses the x-axis, to find put in 0 for y

equation that contains an absolute value expression

C = (5/9)(F - 32)

method of solving a system of linear equations that involves getting one of the variables terms to be opposites of each other and then adding the equations vertically

slope

steepness of a line, rise/run, change in x/change in y

equations that have the same solution(s)

any ordered pair that makes the inequality true

the opposite of a number; used when subtracting numbers;

run

horizontal change when the slope of a line is expressed as the ratio

two operations that undo each other, such as addition and subtraction, multiplication and division

the number that tells how many times the base is used as a factor in a power;

literal equation that shows how one variable is related to one or more other variables

rise

vertical change when the slope of a line is expressed as the ratio

method of solving a system of linear equations that involves getting one of the variables terms to be opposites of each other and then adding the equations vertically

used when graphing ≤ or ≥ on a number line to show that the value is included

equations that have the same solution(s)

slope formula

m = (y₂ - y₁) / (x₂ - x₁)

horizontal change when the slope of a line is expressed as the ratio

a line that closely approximates a set of data, also called a trend line

slope-intercept form

equation of a line in the form y = mx +b, where m is the slope and b is the y-intercept

a system of linear equations with one solution, the graphs intersect at one point

the first value in an ordered pair, indicates the number of units to move right or left from the origin;

equation that is true for all values of the variable

family of functions

a group of functions that have similar characteristics

a common multiple of the denominators of two or more fractions

vertical change when the slope of a line is expressed as the ratio

the set of y values in a relation

parent function

the most basic function in a family of functions

"r value" between -1 and 1, the closer to 1 or -1, the stronger the relationship between the two variables

transformation

a change in the position, shape, or size of a figure

the point of intersection of the two perpendicular number lines making up the coordinate plane, located at the point (0, 0)

a transformation that flips the figure over a line

I = Prt

translation

a transformation that moves each point of a figure the same distance and in the same direction, a "slide"

used when graphing < or > on a number line to show that the value is not included

a function containing |x|; graph is shaped like the letter v

two or more linear inequalities in the same variables

reflection

a transformation that flips the figure over a line

f(x) = |x - h| + k, where the vertex is located at the point (h, k)

each number in a sequence

horizontal stretch or shrink

a transformation that pushes all points on a graph away from the y-axis or toward the y-axis

mathematical phrase that contains numbers, symbols and operations, but no equals sign

relationship between data sets

shows all the solutions of the inequality on the coordinate plane using a solid or dashed line and shading

linear model

a linear function that models a real life situation

a number which when multiplied by itself gives the original number;

a system of linear equations with infinitely many solutions, the graphs are the same line

a diagram that shows how a specific relation maps input values to output values

scatter plot

a graph in which two sets of data are plotted as ordered pairs on a coordinate plane; the results are used to identify trends and any type of correlation.

the set of x values in a relation

C = (5/9)(F - 32)

equation that has two or more different variables

extrapolation

estimating a value outside the range of measured data

greater than

a function containing |x|, graph is shaped like a V

absolute value function

a function containing |x|; graph is shaped like the letter v

number that is the same distance from zero, but on the other side of zero

a line that closely approximates a set of data, also called a trend line

dependent system

a system of linear equations with infinitely many solutions, the graphs are the same line

a method of finding the best line of fit for a linear relationship

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

mathematical phrase that contains numbers, symbols and operations, but no equals sign

vertical stretch or shrink

a transformation that pushes all points on a graph away from the x-axis or toward the x-axis

the first value in an ordered pair, indicates the number of units to move right or left from the origin;

equation that is true for all values of the variable

slope-intercept form

a function that a can be expressed in the form f(x) = mx + b and has a graph which is a straight line

f(x), read "f of x", where y = f(x)

a diagram that shows how a specific relation maps input values to output values

vertex form of an absolute value function

f(x) = |x - h| + k, where the vertex is located at the point (h, k)

a function containing |x|; graph is shaped like the letter v

shows all the solutions of the inequality on the coordinate plane using a solid or dashed line and shading

any value that makes the inequality true

parallel lines

two lines in the same plane that never intersect; have the same slope, but different y-intercept

the set of all elements that are common to both sets, denoted by ∩; an "AND" situation

the vertical number line on the coordinate plane

perpendicular lines

intersecting lines that form 90° angles; their slopes are opposite reciprocals

the opposite of a number; used when subtracting numbers;

a statement that compares two expressions using one of the following signs: >, <, ≤, ≥, ≠

two or more linear equations in the same variables

point-slope form

an equation in the form y - y₁ = m(x - x₁) where (x₁, y₁) are the coordinates of a point on the line and m is the slope of the line

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

equation that contains an absolute value expression

one of the four areas defined by the axes of the coordinate plane, the first quadrant is located in the upper right and the remaining three are numbered in a counter-clockwise direction from there

line of fit

a line that closely approximates a set of data, also called a trend line

the number that tells how many times the base is used as a factor in a power;

m = (y₂ - y₁) / (x₂ - x₁)

a function containing |x|; graph is shaped like the letter v

residual

vertical difference between data point and point on the line of best fit

vertical change when the slope of a line is expressed as the ratio

a line that closely approximates a set of data, also called a trend line

correlation

relationship between data sets

numbers that are the same distance from zero on the number line, but on the opposite sides of zero, two numbers whose sum is zero

statement that two expressions are equal

line of best fit

a line that best models a set of data

method of solving a system of linear equations that involves first solving one of the equations for one of the variables, then replacing that variable with what it is equal to in the other equation

horizontal change when the slope of a line is expressed as the ratio

a system of linear equations with no solutions, the graphs are parallel

reciprocal

multiplicative inverse of a number, "flipping" a fraction

a statement that compares two expressions using one of the following signs: >, <, ≤, ≥, ≠

greater than or equal to

a function whose graph looks like a series of steps

correlation coefficient

the most basic function in a family of functions

intersecting lines that form 90° angles; their slopes are opposite reciprocals

two lines in the same plane that never intersect; have the same slope, but different y-intercept

linear regression

a method of finding the best line of fit for a linear relationship

each number in a sequence

a function that consists of different function rules for different parts of the domain

I = Prt

sequence

ordered list of numbers

a group of functions that have similar characteristics

a system of linear equations with no solutions, the graphs are parallel

the point of intersection of the two perpendicular number lines making up the coordinate plane, located at the point (0, 0)

common difference

difference between terms in an arithmetic sequence

horizontal change when the slope of a line is expressed as the ratio

unproven statement about a general mathematical concept

any value that makes the inequality true

term

each number in a sequence

a number whose positive square root is a whole number

greater than

vertical change when the slope of a line is expressed as the ratio

piecewise function

a function that consists of different function rules for different parts of the domain

the set of all elements that are in either set, denoted by ∪; an "OR" situation

d = rt

the x-coordinate of the point where a line crosses the x-axis, to find put in 0 for y

interpolation

estimating a value between known numbers

a change in the position, shape, or size of a figure

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

graphs with only distinct points, not all values in the domain work

solution of the system of equations

any ordered pair that makes all of the equations in a system true

when a change in one variable causes a change in another variable

regions on either side of a line in a plane

causation

when a change in one variable causes a change in another variable

the number in a power that is repeatedly multiplied;

multiplicative inverse of a number, "flipping" a fraction

a common multiple of the denominators of two or more fractions

substitution

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

mathematical phrase that contains numbers, symbols and operations, but no equals sign

number that is the same distance from zero, but on the other side of zero

inconsistent system

a system of linear equations with no solutions, the graphs are parallel

two simple inequalities that are combined into one statement by the words "and" or "or"

relationship between data sets

a common multiple of the denominators of two or more fractions

step function

a function whose graph looks like a series of steps

a graph in which two sets of data are plotted as ordered pairs on a coordinate plane; the results are used to identify trends and any type of correlation.

a function that consists of different function rules for different parts of the domain

f(x) = |x - h| + k, where the vertex is located at the point (h, k)

arithmetic sequence

a sequence whose consecutive terms have a common difference

a fraction in which the greatest common factor of the numerator and denominator is one; there are no numbers the numerator and denominator can be divided by evenly

add the numbers and divide by number of values in the set, also known as the average

solution of a linear inequality

any ordered pair that makes the inequality true

one of a pair of numbers whose product is 1, also known as the multiplicative inverse, sometimes called the "flip of a number", used when dividing fractions

a line that closely approximates a set of data, also called a trend line

graph of a linear inequality

shows all the solutions of the inequality on the coordinate plane using a solid or dashed line and shading

a number which when multiplied by itself gives the original number;

system of linear equations

two or more linear equations in the same variables

a line that best models a set of data

estimating a value outside the range of measured data

m = (y₂ - y₁) / (x₂ - x₁)

independent system

a system of linear equations with one solution, the graphs intersect at one point

greater than

a function containing |x|; graph is shaped like the letter v

linear inequality in two variables

formed by replacing the equal sign with an inequality symbol in a linear equation in two variables

a change in the position, shape, or size of a figure

two simple inequalities that are combined into one statement by the words "and" or "or"

vertical difference between data point and point on the line of best fit

solution to a system of linear inequalities

any ordered pair that makes all the inequalities in a system true

equation that contains an absolute value expression

relationships represented by a set of ordered pairs

two or more linear equations in the same variables

half-planes

regions on either side of a line in a plane

an inequality containing an absolute value

unproven statement about a general mathematical concept

the x-coordinate of the point where a line crosses the x-axis, to find put in 0 for y

elimination

a method of finding the best line of fit for a linear relationship

any ordered pair that makes the inequality true

the number in a power that is repeatedly multiplied;

consistent system

a system of linear equations with one or more solutions, the graphs intersect

multiplicative inverse of a number, "flipping" a fraction

Ax + By = C

m = (y₂ - y₁) / (x₂ - x₁)

system of the linear inequalities

two or more linear inequalities in the same variables

a transformation that pushes all points on a graph away from the x-axis or toward the x-axis

a line that best models a set of data

numbers that are the same distance from zero on the number line, but on the opposite sides of zero, two numbers whose sum is zero