# Study sets matching "algebra chapter 4"

Study sets

Diagrams

Classes

Users

Continuous Data

Discrete Data

Linear Function

Linear Equation

Can take on any value, so no space between data values (graphs…

Data that has space between data values (graphs just dots)

Function in which the graph of the solutions form a straight l…

Equation with a graph that is a straight line

Continuous Data

Can take on any value, so no space between data values (graphs…

Discrete Data

Data that has space between data values (graphs just dots)

quadratic functions

vertex of a parabola

axis of symmetry

zero of a function

a function whose graph is U-shaped; usually written in the for…

the parabola's highest/lowest point

line about which the parabola is symmetrical; passes through v…

a function's x-intercepts; the x-value when y=0

quadratic functions

a function whose graph is U-shaped; usually written in the for…

vertex of a parabola

the parabola's highest/lowest point

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…

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Arithmetic Sequence

Causation

Common Difference

Correlation

an ordered list of numbers in which the difference between eac…

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

the difference between each pair of consecutive terms in an ar…

a relationship between data sets

Arithmetic Sequence

an ordered list of numbers in which the difference between eac…

Causation

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

compound inequalities

equivalent inequalities

solution of an inequality

>

Two inequalities joined by the word "and" or the word "or".

Inequalities that have the same set of solutions.

Any value or values of a variable in the inequality that makes…

greater than

compound inequalities

Two inequalities joined by the word "and" or the word "or".

equivalent inequalities

Inequalities that have the same set of solutions.

System

Solution set

Linear Combination Method

Second order determinantes (y)

a group of equations or a set of open sentences each of which…

a set of equations that satisfy all of the equations in the eq…

solving the system by multiplying to get a variable that cance…

Y = af - cd/ae - bd

System

a group of equations or a set of open sentences each of which…

Solution set

a set of equations that satisfy all of the equations in the eq…

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

axis of symmetry

complex number

discriminant

greatest common factor

a line that divides a plane figure or a graph into two congrue…

any numbers with "i" in them. (p. 249)

(p. 242)

(GCF) the largest factor that two or more numbers have in comm…

axis of symmetry

a line that divides a plane figure or a graph into two congrue…

complex number

any numbers with "i" in them. (p. 249)

Arithmetic Sequence Pg.272

Common difference Pg. 272

continuous graph Pg.231

correlation Pg. 262

When the terms of a sequence differ by the same nonzero number…

When the terms of a sequence differ by the same nonzero number…

Graphs that have connected points or curves

describes a relationship between two data sets

Arithmetic Sequence Pg.272

When the terms of a sequence differ by the same nonzero number…

Common difference Pg. 272

When the terms of a sequence differ by the same nonzero number…

Coordinate plane

Quadrant

X-axis

Y-axis

a plane containing an x and y axis

The four sections in the corner of the coordinate plane

The horizontal number line in a coordinate plane

The vertical number line in a coordinate plane

Coordinate plane

a plane containing an x and y axis

Quadrant

The four sections in the corner of the coordinate plane

Rate of Change

Rise

Run

Slope

A ratios that compares the amount of change in a dependent var…

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

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

The ratio of rise to run for any two points on a line

Rate of Change

A ratios that compares the amount of change in a dependent var…

Rise

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

Slope-intercept form

linear extrapolation

point-slope form

parallel lines

a linear equation written in the form y = mx + b, where m repr…

The use of a linear equation to predict values that are outsid…

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

lines in the same plane that never intersect

Slope-intercept form

a linear equation written in the form y = mx + b, where m repr…

linear extrapolation

The use of a linear equation to predict values that are outsid…

Linear function

Rate of change

Slope

Slope-intercept form

A linear function is a function whose points lie on a straight…

A rate of change is a comparison between two quantities that a…

Slope is a ratio that describes steepness,... Slope = vertical ch…

An équation written in the form y = mx + b is in slope-interce…

Linear function

A linear function is a function whose points lie on a straight…

Rate of change

A rate of change is a comparison between two quantities that a…

Bivariate Data

Line of (Best) Fit

Point-Slope Form

Perpendicular Lines

data with two variables

a line that describes a trend of the data in a scatter plot

slopes are opposite reciprocals

Bivariate Data

data with two variables

Line of (Best) Fit

a line that describes a trend of the data in a scatter plot

bivariate data

Line of Fit

Point Slope Form

Perpendicular Line

Data with two variables

A line that describes the trend of the data in a scatter plot

Can be written if you known one point and slope.

Slopes are opposite reciprocals

bivariate data

Data with two variables

Line of Fit

A line that describes the trend of the data in a scatter plot

coordinate plane

inverse relation

dependent variable

ordered pair

The plane determined... by a horizontal number line, called the... x…

The set of ordered pairs... obtained from switching the x- and y-…

A variable whose... value is dependent upon the value of... another…

Two numbers that name the... coordinates of a point on a graph, w…

coordinate plane

The plane determined... by a horizontal number line, called the... x…

inverse relation

The set of ordered pairs... obtained from switching the x- and y-…

quadrant

standard form of a linear function

linear function

x-intercept

the four pieces into which the coordinate plane is divided int…

Ax+By=C. A,B, and C are real numbers and A and B do not equal 0

Ax+By=C represents a linear function where B does not equal 0

the x coordinate of a point where a graph crosses the x axis

quadrant

the four pieces into which the coordinate plane is divided int…

standard form of a linear function

Ax+By=C. A,B, and C are real numbers and A and B do not equal 0

bivariate data

inverse relation

inverse function

line of fit

data with two variables

exchange the x-coordinates with the y-coordinates of each orde…

can generate ordered pairs of the inverse relation

can model the trend when data points lie close to a line

bivariate data

data with two variables

inverse relation

exchange the x-coordinates with the y-coordinates of each orde…

steps to factoring

solve by graphing

solve by square roots

factoring

1. rewrite in standard form if necessary... 2. factor out GCF if…

find the x-int. of equation --> y=ax^2+bx+c ... find vertex --> E…

write equation in form of x^2=y, where x is an algebraic expre…

If a binomial, check for difference of squares.... If a trinomial…

steps to factoring

1. rewrite in standard form if necessary... 2. factor out GCF if…

solve by graphing

find the x-int. of equation --> y=ax^2+bx+c ... find vertex --> E…

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)

Quadrants

Coordinate plane

Ordered pair

Transformation

The four regions into which the coordinate plane is divided by…

Has a horizontal x-axis and a vertical y-axis that intersect a…

The first number is the x-coordinate and the second number is…

For a given set of points, a transformation produces an image…

Quadrants

The four regions into which the coordinate plane is divided by…

Coordinate plane

Has a horizontal x-axis and a vertical y-axis that intersect a…

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Bivariate Data

line of best fit

Point-Slope Form

perpendicular lines

data with two variables

a line that describes the data in a scatter plot

y-y1=m(x-x1) can be written if you know one point and the slope

slopes that are opposite reciprocals

Bivariate Data

data with two variables

line of best fit

a line that describes the data in a scatter plot

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

quadrants

solution of an equation in two variables

graph of an equation in two variables

linear equation

The four regions into which the coordinate place is divided by…

An ordered pair that produces a true statement when the coordi…

The set of points in a coordinate plane that represent all sol…

An equation whose graph is a line.

quadrants

The four regions into which the coordinate place is divided by…

solution of an equation in two variables

An ordered pair that produces a true statement when the coordi…

Continuous Graph

Discrete Graph

Relation

Domain

graphs connected by lines or curves

graphs with only distinct points

relationships represented by a set of ordered pairs

the set of first quadrants which are the set of x values.

Continuous Graph

graphs connected by lines or curves

Discrete Graph

graphs with only distinct points