Study sets matching "algebra chapter 4"

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Study sets matching "algebra chapter 4"

12 terms
Honors Algebra II - Chapter 4 - Quadratic Functions
Axis of Symmetry
Vertex
Parabola
If a parabola opens up, a ____________…
minimum
Axis of Symmetry
Vertex
algebra 2: chapter 4
the parabola opens up if
the parabola opens down if
a represents
if the parabola opens up the y-coordin…
a is positive
a is negative
slope
minimum
the parabola opens up if
a is positive
the parabola opens down if
a is negative
15 terms
Pre-Algebra Chapter 4 Vocab
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 ___
15 terms
College Algebra Chapter 4
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 <…
Chapter 4 algebra 1A
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
14 terms
algebra chapter 4 vocab
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
13 terms
Algebra Chapter 4 Vocabulary
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)
Algebra Chapter 4
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
Algebra chapter 4
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
26 terms
algebra vocab chapter 4
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…
Chapter 4 Algebra vocabulary
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
10 terms
Algebra chapter 4 vocabulary
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…
10 terms
Algebra Chapter 4 Vocabulary
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…
Algebra Chapter 4 Vocabulary
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
15 terms
Chapter 4 algebra
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
21 terms
Algebra 2 - Chapter 4 (Systems of Equations and Inequalities)
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…
32 terms
algebra chapter 4
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…
21 terms
Algebra Chapter 4
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
Algebra Chapter 4 Vocabulary
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
Algebra Chapter 4 Vocab
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
Algebra Chapter 4
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)
Algebra Chapter 4
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
Algebra chapter 4
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
Algebra Chapter 4
Standard Form Equation
(SF) Vertex Equation
(SF) Finding Y for vertex
(SF) Y intercept
y=ax^2+bx+c
x=-b/2a
plug in all known numbers to the original equation
C value
Standard Form Equation
y=ax^2+bx+c
(SF) Vertex Equation
x=-b/2a
16 terms
algebra chapter 4
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
15 terms
Chapter 4 Algebra
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…
11 terms
Chapter 4 vocabulary algebra
Dependant variable
Independent variable
Input
Output
The output variable. It relies on X
The input variable (X)
The value you put in an equation for X
The value you get out for Y
Dependant variable
The output variable. It relies on X
Independent variable
The input variable (X)
20 terms
algebra chapter 4 vocab
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
16 terms
Algebra I- chapter 4
Dependent variable
Independent variable
Inputs
Outputs
Changes in response to another variable
Causes change
Values of the independent variable
Values of the dependent variable (results)
Dependent variable
Changes in response to another variable
Independent variable
Causes change
24 terms
Algebra Chapter 4 Vocab
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…
12 terms
Algebra | Chapter 4
Relation
Function
Domain
Range
A set of ordered pairs
A set of ordered pairs where one (Y) value is paired with eac…
The set of x- values for a function
The set of y values for a function
Relation
A set of ordered pairs
Function
A set of ordered pairs where one (Y) value is paired with eac…
16 terms
Algebra chapter 4 vocab
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…
18 terms
Algebra Chapter 4 Vocab
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
18 terms
Algebra Chapter 4 Vocab
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
20 terms
Algebra Chapter 4 Vocab
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…
Chapter 4 algebra
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
chapter 4 algebra vocabulary
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…
Algebra Chapter 4 Vocab
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
Chapter 4 Vocab Algebra
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…
18 terms
Algebra Chapter 4 vocabulary
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
12 terms
Chapter 4 Algebra Vocabulary
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 =…
24 terms
Chapter 4 vocab algebra
Parabola
Quadratic function
Vertex form
Axis of symmetry
A graph of a quadratic function
f(x)=ax2+bx+c
f(x)= a(x-h)^2
A line that divides the parabola into two mirror images
Parabola
A graph of a quadratic function
Quadratic function
f(x)=ax2+bx+c
24 terms
Algebra Chapter 4 Vocabulary
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`
18 terms
Algebra Chapter 4
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
Algebra Chapter 4 Vocabulary
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.
Algebra Chapter 4 Vocabulary
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.
Chapter 4 Pearson Algebra 1 Cumulative
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
15 terms
Algebra chapter 4
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
Algebra chapter 4
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…
9 terms
Algebra chapter 4
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
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