#### Study sets matching "algebra chapter 4"

#### Study sets matching "algebra chapter 4"

Coefficient

Constant

distributive property

equation

The number in front of a variable is called the ____. For exa…

The terms without a variable are called ___

A property that is used to multiply a sum or difference by a…

A mathematical sentence that contains an equal sign and shows…

Coefficient

The number in front of a variable is called the ____. For exa…

Constant

The terms without a variable are called ___

Correlation coefficient

Decreasing linear function

Extrapolation

Horizontal line

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

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 sl…

Correlation coefficient

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

Decreasing linear function

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

Proportional relationship

Slope-intercept form of a line

Slope

Horizontal lines (HOY)

Two variables have a proportional relationship if their respe…

Y=mx + b

Change in y over change in x which is also called the average…

Slope equals zero and the equation is in the form y=

Proportional relationship

Two variables have a proportional relationship if their respe…

Slope-intercept form of a line

Y=mx + b

changes in response to another variable

the variable that does not change

values of the independent variable

values of the dependent variable

dependent variable

independent variable

inputs

outputs

changes in response to another variable

dependent variable

the variable that does not change

independent variable

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 neve…

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

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

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-ax…

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

Linear function

Graph froms a straight line

Linear equation

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

axis of symmetry

complex number

discriminant

greatest common factor

-b/2a

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

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

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 numbe…

ratio

rate

unit rate

proportion

comparison of 2 quantities by division

ratios that compares quantities in different units

rate with a denominator of 1

equality of 2 ratios (2 equal fractions)

ratio

comparison of 2 quantities by division

rate

ratios that compares quantities in different units

Inverse relations

Scatter plot

Perpendicular lines

Parallel lines

The set of ordered pairs obtained by exchanging the x-coordin…

Shows the relationship between a set of data with two variabl…

Lines that intersect to form a right angle.

Lines in the same plane that do not intersect and either have…

Inverse relations

The set of ordered pairs obtained by exchanging the x-coordin…

Scatter plot

Shows the relationship between a set of data with two variabl…

Inverse Relations

Scatter Plot

Perpendicular Lines

Parallel Lines

The set of ordered pairs obtained by exchanging the x-coordin…

A ... shows the relationship between a set of data with two v…

Lines that intersect at right angles are called... the slope…

Lines that have the same plane but do not intersect.

Inverse Relations

The set of ordered pairs obtained by exchanging the x-coordin…

Scatter Plot

A ... shows the relationship between a set of data with two v…

slope-intercept form

constant function

constraint

point-slope form

an equation of the form y=mx+b where "m" is the slope and "b"…

a linear function of the form y=b

a condition that a solution must satisfy

an equation of the form y-y1 = m(x-x1) where "m" is the slope…

slope-intercept form

an equation of the form y=mx+b where "m" is the slope and "b"…

constant function

a linear function of the form y=b

Continuous graph

Discrete graph

Relation

Domain

Some graphs are connected lines or curves

Some graphs are only distinct points

Relationships can also be represented by set of order pair

The set of first coordinates, x-values

Continuous graph

Some graphs are connected lines or curves

Discrete graph

Some graphs are only distinct points

How to write the solution of a system…

Independent System

Dependent System

How to write solution for a dependent…

An ordered pair (x,y)

2 lines on a graph that intersect at one point and thus have…

2 lines on a graph that are the exact same line and lie on to…

An ordered pair (x, expression for y that you found by isolat…

How to write the solution of a system…

An ordered pair (x,y)

Independent System

2 lines on a graph that intersect at one point and thus have…

A quadratic function has the form

Parabola

The parabola opens up if...

The parabola opens down if...

Y=ax²+bx+c where a≠0.

The graph of a quadratic function is U-shaped and is called a…

a > 0

a < 0

A quadratic function has the form

Y=ax²+bx+c where a≠0.

Parabola

The graph of a quadratic function is U-shaped and is called a…

Rate of Change

Rise

Run

Slope

Is a ratio that conpares the amount of change in a dependent…

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

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

Is the ratio of rise to run for any two points on the line

Rate of Change

Is a ratio that conpares the amount of change in a dependent…

Rise

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

continuous graph

discrete graph

relation

domain

a graph made up of connected lines or curves

a graph made up of unconnected points

a set of ordered pairs

the set of all possible x-values of a relation or function

continuous graph

a graph made up of connected lines or curves

discrete graph

a graph made up of unconnected points

Continuous graph

Dependent variable

Discrete graph

Domain

Is a graph that is unbroken

Changes in response to another variable, and id the y value

Composed of distinct, isolated parts

Set of all x-values of a relation

Continuous graph

Is a graph that is unbroken

Dependent variable

Changes in response to another variable, and id the y value

Arithmetic sequence

Common difference

Continuous graph

Correlation

When the terms of a sequence differ by the same non zero number

nonzero number (d)

A graph that describes a space containing smoothly connected…

Describes a relationship between two sets of data

Arithmetic sequence

When the terms of a sequence differ by the same non zero number

Common difference

nonzero number (d)

Slope intercept form

Point slope form

Parallel lines

Perpendicular lines

A form used to graph linear equations

Uses a point and slope to write the equation

Lines that will never intersect

Lines that form a right angle when they intersect

Slope intercept form

A form used to graph linear equations

Point slope form

Uses a point and slope to write the equation

Matrix

Dimensions

Matrices are equal

Scalar

Is a rectangular arrangment of numbers in rows and columns

Of a matrix are read rows X columns

If their dimensions are the same and the entries in the corre…

A real number used in matrix algebra. To multiply by a scalar…

Matrix

Is a rectangular arrangment of numbers in rows and columns

Dimensions

Of a matrix are read rows X columns

zero of a function

zero-product property

quadratic function

parabola

the value of x for which a function or equation is equal to 0

if ab=0 then a=0 or b=0

equation with an x^2, can be written in the form of y=ax^2+bx+x

graph of a quadratic function

zero of a function

the value of x for which a function or equation is equal to 0

zero-product property

if ab=0 then a=0 or b=0

linear model

point slope form

Parallel lines

Perpendicular lines

a function that models a real life situation

a linear equation written in the form y - y1 = m(x1,y1) . The…

Two lines in the same plane that never intersect... Two distinct…

Two lines in the same plane that intersects to form right ang…

linear model

a function that models a real life situation

point slope form

a linear equation written in the form y - y1 = m(x1,y1) . The…

continuous graph

discrete graphs

relation

domain

a graph made up of connected lines or curves

a graph made up of unconnected points

a set of ordered pairs

the set of all first coordinates (or x-values) of a relation…

continuous graph

a graph made up of connected lines or curves

discrete graphs

a graph made up of unconnected points

axis of symmetry

completing the square

complex conjugates

complex numbers

straight line for which every point on a given curve has corr…

technique used to solve quadratic equations, graph quadratic…

The complex conjugate of a + bi is a - bi, and similarly the…

A combination of a real and an imaginary number in the form a…

axis of symmetry

straight line for which every point on a given curve has corr…

completing the square

technique used to solve quadratic equations, graph quadratic…

Asymptote

Base

Common logarithm

Exponential decay

a line that a graph approaches as the value of a variable bec…

the value of b in a function of the form f(x)=ab^x where a an…

a logarithm whose base is 20, denoted log10 or just log

an exponential function of the form f(x)=ab^x in which 0<b<1.…

Asymptote

a line that a graph approaches as the value of a variable bec…

Base

the value of b in a function of the form f(x)=ab^x where a an…

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

Completing the square

Complex conjugates

Complex numbers

Constant term

A process used to make a quadratic expression into a perfect…

Two complex numbers of the form, a+bí and a-bí

Any number that can be written in the form a+bí where a and b…

In f(x)=ax^2+bx+c, c is the constant term

Completing the square

A process used to make a quadratic expression into a perfect…

Complex conjugates

Two complex numbers of the form, a+bí and a-bí

Arithmetic sequence

Common difference

Continuous graph

Correlation

A sequence whose successive terms differ by the same nonzero…

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 b…

Arithmetic sequence

A sequence whose successive terms differ by the same nonzero…

Common difference

In an arithmetic sequence, the nonzero constant difference of…

Expontential growth

Exponential decay

Growth factor

Deprecation factor

If b>1, for a(b)^x

If 0<b<1, for a(b)^x

A(t) = a(1+r)^t... a(t)= final amount, a= initial amount t= time…

A(t) = a(1-r)^t... a(t)= final amount, a= initial amount t= time…

Expontential growth

If b>1, for a(b)^x

Exponential decay

If 0<b<1, for a(b)^x

slope intercept form

linear extrapolation

point slope form

parallel lines

an equation of the form y=mx+b, where m is the slope and b is…

the use of a linear equation to predict values that are outsi…

ab equation of the form y-y1=m(x-x1) where m is the slope and…

lines in the same plane that do not intersect and either have…

slope intercept form

an equation of the form y=mx+b, where m is the slope and b is…

linear extrapolation

the use of a linear equation to predict values that are outsi…

System of equations

solution of a system

Methods for solving systems of equations

Independent(consistent)

2 or more linear functions with the same variables

ordered pair that satisfies both equations

graphing... substitution... elimination... craners rule... Matrices(RREF)

one solution

System of equations

2 or more linear functions with the same variables

solution of a system

ordered pair that satisfies both equations

domain

function

linear function

nonlinear function

the possible values for the input of a relation or function

a relation that assigns exactly one value in the range to eac…

a graph that forms a straight line

a function who's graph is not a line or not part of a line

domain

the possible values for the input of a relation or function

function

a relation that assigns exactly one value in the range to eac…

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

slope-intercept form

constant functions

constraint

linear extrapolation

y = mx + b... m is the slope and b is the y-intercept

can be written in slope-intercept forms as y = 0x + b or y =…

a condition that a solution must satisfy. equations can be vi…

can use to make predictions about values that are beyond the…

slope-intercept form

y = mx + b... m is the slope and b is the y-intercept

constant functions

can be written in slope-intercept forms as y = 0x + b or y =…

parabola

quadratic function

vertex form

axis of symmetry

the graph of a quadratic function

a function you can write in the form f(x)= ax^2 + bx + c`

f(x)= a(x -h)^2 + k, where a doesn't equal 0

is a line that divides the parabola into two mirror images

parabola

the graph of a quadratic function

quadratic function

a function you can write in the form f(x)= ax^2 + bx + c`

Linear function

Constant function

Linear equation

Standard form

A function with ordered pairs that saitsfy a linear equation

A linear function of the form y=b

An equation in the form of Ax+By=C with a graph that is a str…

The standard form of a linear equations is Ax+By=C where A do…

Linear function

A function with ordered pairs that saitsfy a linear equation

Constant function

A linear function of the form y=b

continuous graph

dependent variable

discrete graph

domain

A graph that is unbroken.

A variable that changes in response to another variable.

A graph composed of distinct, isolated points.

The possible values for the input of a relation or function.

continuous graph

A graph that is unbroken.

dependent variable

A variable that changes in response to another variable.

continuous graph

dependent variable

discrete graph

domain

A graph that is unbroken.

A variable that changes in response to another variable.

A graph composed of distinct, isolated points.

The possible values for the input of a relation or function.

continuous graph

A graph that is unbroken.

dependent variable

A variable that changes in response to another variable.

dependent variable

domain

range

function

variable that changes in response to another variable (output)

The x-values of a function

The y-values of a function

relationship that pairs each input value with exactly one out…

dependent variable

variable that changes in response to another variable (output)

domain

The x-values of a function

parallel lines

perpendicular lines

bivariate data

scatter plot

lines that never intersect

lines that intersect at a right angel

data with two variables

shows the relationship between a set of data with two variabl…

parallel lines

lines that never intersect

perpendicular lines

lines that intersect at a right angel

4.1-Coordinates and Scatter Plots

4.2-Graphing Linear Equations

4.3-Quick Graphs Using Intercepts

4.4-The Slope of a Line

Coordinate Plane=right angle intersection of 2 real number li…

Solution of an Equation=ordered pair that make the equation t…

when asked to find the x or y intercept from an equation, mak…

slope=m... m=RISE/RUN=======Y2-Y1/X2-X1... +slope=line rises left…

4.1-Coordinates and Scatter Plots

Coordinate Plane=right angle intersection of 2 real number li…

4.2-Graphing Linear Equations

Solution of an Equation=ordered pair that make the equation t…

Continuous Graph

Discrete graph

Addition terms

Subtraction terms

A graph that is unbroken

A graph composed of distinct isolated points

Increased by... More than... Combined... Total of ... Sum... Plus... Added to

Decreased by... Minus... Less... Difference by... Less than... Fewer than

Continuous Graph

A graph that is unbroken

Discrete graph

A graph composed of distinct isolated points