# Study sets matching "algebra chapter 4"

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Constant of Variation

Direct Variation

Family of Functions

Linear Function

The constant K in direct and inverse variations equations.

A linear relationship between two variables, x and y, that can…

A set of functions whose graphs have basic characteristics in…

A function that can be written in the form y=mx+b where x is t…

Constant of Variation

The constant K in direct and inverse variations equations.

Direct Variation

A linear relationship between two variables, x and y, that can…

arithmetic sequence

common difference

correlation

dependent variable

successive terms differ by same non-zero number (common differ…

non-zero difference betwn any term, previous term

measure of strength and direction of relationship between two…

output of a function whose value depends on the input

arithmetic sequence

successive terms differ by same non-zero number (common differ…

common difference

non-zero difference betwn any term, previous term

infinite solutions

coincide

elimination method

equal value method

every point on one line intersects every point on the second l…

two graphs that have all their points in common

when you add or subtract two equations to eliminate one of hte…

when you take two equations that are equal to the same variabl…

infinite solutions

every point on one line intersects every point on the second l…

coincide

two graphs that have all their points in common

Infinite Solutions

Coincide

Elimination Method

Equal Values Method

Every point on one line intersects every point on the second l…

Two graphs that have all their points in common.

When you add or subtract two equations to eliminate one of the…

When you take two equations that are equal to the same variabl…

Infinite Solutions

Every point on one line intersects every point on the second l…

Coincide

Two graphs that have all their points in common.

ratio

rate

unit rate

unit analysis

The quantitative relation between two amounts showing the numb…

A ratio that compares two quantities measured in different uni…

A rate in which the second quantity in the comparison is one u…

Including units for each quantity in a calculation to determin…

ratio

The quantitative relation between two amounts showing the numb…

rate

A ratio that compares two quantities measured in different uni…

Linear model

Point-slope form

Parallel lines

Perpendicular lines

a linear function that models real life situations.

a linear equation written in the form y - y1 =m(x - x1)

two lines in the same plane that have the same slope and never…

two lines in the same plane that intersect to form right angle…

Linear model

a linear function that models real life situations.

Point-slope form

a linear equation written in the form y - y1 =m(x - x1)

ratio

rate

unit rate

proportion

a comparison of two quantities using division

a ratio that compares quantities in different units

rate with a denominator of one

a ratio = a ratio; the cross products are always equal

ratio

a comparison of two quantities using division

rate

a ratio that compares quantities in different units

point-slope form

converse

perpendicular

scatter plot

Switching the hypothesis and conclusion of a conditional state…

when two lines intersect and form 4 90 degree angles

a graph where data is represented by dots

point-slope form

converse

Switching the hypothesis and conclusion of a conditional state…

point-slope form

converse

perpendicular

scatter plot

y - y1 = m(x - x1), where m is the slope and (x1, y1) is a poi…

the statement formed by exchanging the hypothesis and conclusi…

intersecting to form 90 degree angles, denoted by

a graph with points plotted to show a possible relationship be…

point-slope form

y - y1 = m(x - x1), where m is the slope and (x1, y1) is a poi…

converse

the statement formed by exchanging the hypothesis and conclusi…

System

Solution Set

Inconsistent Equations

Dependent Solutions

(of equations or inequalities) a set of open sentences each of…

set of all ordered pairs that satisfy all the open sentences i…

Parallel Lines... Never intersect so they have no common solutions

Graphs are the same line... Have the same graph so they have an i…

System

(of equations or inequalities) a set of open sentences each of…

Solution Set

set of all ordered pairs that satisfy all the open sentences i…

Bivariate data

Constant function

Constraint

Correlation

Data with two variables

A linear equations written Y = B; a horizontal line

A condition that a solution must satisfy

(Association) - the relationship of bivariate data

Bivariate data

Data with two variables

Constant function

A linear equations written Y = B; a horizontal line

Linear function

Linear equation

Y-intercept

X-intercept

Graph froms a straight line

Any equation that can be written in the standard form Ax+By=C

Y-coordinate of the point where the graph intersects the y-axi…

The x-coordinate of the point where the graph intersects the x…

Linear function

Graph froms a straight line

Linear equation

Any equation that can be written in the standard form Ax+By=C

Rise

Translation

Slope

Rate of Change

the difference in the y-values of two points on a line

is a type of transformation that moves every point the same di…

change in y over change in x

a ratio that compares the amount of change in a dependent vari…

Rise

the difference in the y-values of two points on a line

Translation

is a type of transformation that moves every point the same di…

linear model

point-slope form

parallel lines

perpendicular lines

model used to describe a real life situation which has a const…

y-y1=m(x-x1)

lines in the same plane that never intersect and have the same…

Lines that intersect to form right angles; reciperical slopes

linear model

model used to describe a real life situation which has a const…

point-slope form

y-y1=m(x-x1)

axis of symmetry

complex number

discriminant

greatest common factor

-b/2a

The sum or difference of a real number and an imaginary number…

is the expression under the radical sign in the quadratic form…

The largest factor that two or more numbers have in common.

axis of symmetry

-b/2a

complex number

The sum or difference of a real number and an imaginary number…

Dependent variable

Independent variable

Input

Output

A variable that provides the output values of a function.

A variable that provides the input values of a function.

A value of the independent variable.

A value of the dependent variable.

Dependent variable

A variable that provides the output values of a function.

Independent variable

A variable that provides the input values of a function.

Discrete Graph

A relation is

A function is

Range is

A graph made up of non connected points

A set of ordered pair

A special relation that pairs each domain with exactly one ran…

A set of all dependent variables

Discrete Graph

A graph made up of non connected points

A relation is

A set of ordered pair

Correlation coefficient

Decreasing linear function

Extrapolation

Horizontal line

a value, r, between -1 and 1 that indicates the degree of line…

a function with a negative slope: If f (x) = mx + b, then m <…

predicting a value outside the domain and range of the data

a line defined by f (x) = b, where b is a real number. The slo…

Correlation coefficient

a value, r, between -1 and 1 that indicates the degree of line…

Decreasing linear function

a function with a negative slope: If f (x) = mx + b, then m <…

linear function

linear equation

y-intercept

x-intercept

A function whose graph is a straight line.

any equation that can be written in this standard form Ax+By=C

where the line crosses the y axis

where the graph crosses the x-axis

linear function

A function whose graph is a straight line.

linear equation

any equation that can be written in this standard form Ax+By=C

arithmetic sequence

common difference

continuous graph

correlation

A sequence whose successive terms differ by the same nonzero n…

In an arithmetic sequence, the nonzero constant difference of…

A graph made up of connected lines or curves

A measure of the strength and direction of the relationship be…

arithmetic sequence

A sequence whose successive terms differ by the same nonzero n…

common difference

In an arithmetic sequence, the nonzero constant difference of…

coordinate plane

ordered pair

x-coordinate

y-coordinate

A plane formed by two number lines that intersect at right ang…

a pair of numbers used to identify a point in a plane

the first number in an ordered pair

the second number in an ordered pair

coordinate plane

A plane formed by two number lines that intersect at right ang…

ordered pair

a pair of numbers used to identify a point in a plane

augmented matrix

determinant

dilation

equal matrices

contains the coefficients and the constants from a system of e…

the _________ of a square matrix is a real number that can be…

a transformation that changes the size of a figure

matrices with the same dimensions and equal corresponding elem…

augmented matrix

contains the coefficients and the constants from a system of e…

determinant

the _________ of a square matrix is a real number that can be…

Point Slope Form

Standard Form

Slope Intercept Form

II lines (parallel)

A linear equation written in the form y-y1=m(x-x1).

A linear equation written in the form Ax + By=C.

A linear equation written in the form y=mx+b.

Two lines in the same plane that never intersect and have the…

Point Slope Form

A linear equation written in the form y-y1=m(x-x1).

Standard Form

A linear equation written in the form Ax + By=C.