Upward Bound - Mega Vocab Review
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
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
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
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
two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position
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
two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position
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
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
solution of an inequality
any value that makes the inequality true
a group of functions that have similar characteristics
the process for dividing fractions; keep the first fraction, change the division to multiplication, and take the reciprocal of the second fraction
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
the input of a function; the value of the dependent variable depends on; graphed on the x-axis; the variable that is "in control"
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
a linear equation written in the form y = mx + b, where m represents slope and b represent the y-intercept
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
two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position
the output of a function; it's value depends in the independent variable; graphed on the y-axis; the variable that is "controlled"
"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
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
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
two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position
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
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
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 input of a function; the value of the dependent variable depends on; graphed on the x-axis; the variable that is "in control"
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 linear equation written in the form y = mx + b, where m represents slope and b represent the y-intercept
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
a linear equation written in the form y = mx + b, where m represents slope and b represent the y-intercept
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
the output of a function; it's value depends in the independent variable; graphed on the y-axis; the variable that is "controlled"
correlation
relationship between data sets
two digits to the right of the decimal point; example: 7 in the number 3.27584, 7 is in this position
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
"r value" between -1 and 1, the closer to 1 or -1, the stronger the relationship between the two variables
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
the process for dividing fractions; keep the first fraction, change the division to multiplication, and take the reciprocal of the second fraction
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
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
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
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
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
the output of a function; it's value depends in the independent variable; graphed on the y-axis; the variable that is "controlled"
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;
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
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
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
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
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
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
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