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

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

Algebraic expression

Associative Property

Commutative Property Addition

Commutative Property Multiplication

An expression that includes at lest one variable.

The property that states that when the grouping of addends is…

The property that states that when the order of two addends c…

The property that states when the order of two factors is cha…

Algebraic expression

An expression that includes at lest one variable.

Associative Property

The property that states that when the grouping of addends is…

algebraic expression

associative property

commutative property of multiplication

commutative property of adddition

An expression that includes at least one variable

the property that states that when the grouping addends is ch…

the property that states that when the order of two factors i…

the property that states that when the order of two addends i…

algebraic expression

An expression that includes at least one variable

associative property

the property that states that when the grouping addends is ch…

ratio

rate

unit rate

unit analysis (dimensional analysis)

is a comparison of two numbers by division

a ratio of a and b where a and b represent quantities measure…

is a rate with a denominator of one

the process of selecting conversion factors to produce the ap…

ratio

is a comparison of two numbers by division

rate

a ratio of a and b where a and b represent quantities measure…

Ratio

Rate

Unit Rate

Unit Analysis

A comparison of two numbers by division

A ratio of a to b where a and b represent quantities measured…

Is a rate with a denominator of 1

The process of selecting conversion factors to produce the ap…

Ratio

A comparison of two numbers by division

Rate

A ratio of a to b where a and b represent quantities measured…

Linear Function

Non-linear Function

Y-Intercept

X-Intercept

All points form a straight line

All points do not form a straight line

Where the line crosses the y-axis.... X=0 at this point

Where the line crosses the x-axis.... Y=0 at this point

Linear Function

All points form a straight line

Non-linear Function

All points do not form a straight line

axis of symmetry

completing the square

complex conjugates

complex number

a line about which a figure is symmetrical

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

two complex numbers of the form a-bi and a+bi

any number that can be written in the form a+bi where a and b…

axis of symmetry

a line about which a figure is symmetrical

completing the square

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

linear function

linear equation

y-intercept

x-intercept

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

An equation that can be written in thte form Ax+By=C; where A…

The y-coordinate(s) of the point(s) where a graph intersects…

The x-coordinate(s) of the point(s) where a graph intersects…

linear function

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

linear equation

An equation that can be written in thte form Ax+By=C; where A…

algebraic expression

terms

variable

coefficient

an expression that may contain numbers, operations, and one o…

parts of an algebraic expression

a symbol that represents one or more numbers

the numerical factor of a term that contains a variable

algebraic expression

an expression that may contain numbers, operations, and one o…

terms

parts of an algebraic expression

arithmetic sequence

common difference

continuous graph

dependent variable

a sequence in which the difference between consecutive terms…

the difference between consecutive terms in an arithmetic seq…

a graph that is an unbroken line. [p. 255]

a value that can be changed or is affected by another value.…

arithmetic sequence

a sequence in which the difference between consecutive terms…

common difference

the difference between consecutive terms in an arithmetic seq…

law of exponents

constant

monomial

coefficient

multiplying powers with the same base

number

a numeric/constant or the product of a constant and one or mo…

the constant/numerical coefficient in a monomial... 3m- 3=coeffi…

law of exponents

multiplying powers with the same base

constant

number

SOLUTION

BOUNDRY CURVE

BOUNDRY LINE

BOUNDARY POINT

a number or expression that makes the equation or inequality…

The visual dividing marker of a non-linear graph representing…

The visual dividing symbol in a linear graph representing whe…

The endpoint of a ray or segment on a number line where an in…

SOLUTION

a number or expression that makes the equation or inequality…

BOUNDRY CURVE

The visual dividing marker of a non-linear graph representing…

slope intercept form

linear extrapolation

parallel lines

perpendicular 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…

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

Lines that intersect to form a right angle; the product of th…

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…

Best-fit line

Bivariate data

Correlation coefficient

Inverse function

the line that most clearly approximates the data in a scatter…

data with two variables

a value that shows how close data points are to a line

a function that can generate ordered pairs of the inverse rel…

Best-fit line

the line that most clearly approximates the data in a scatter…

Bivariate data

data with two variables

axis of symmetry

complex number

discriminant

greatest common factor

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

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

(p. 242)

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

axis of symmetry

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

complex number

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

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.

Addition property of inequalities

Conclusion

Conditional statement

Converse

For all real numbers a,b and c, if a < b then a + c < b+c. If…

Consequent

A statement of the form If a, then b

" "conditional statement is found by interchanging the hypoth…

Addition property of inequalities

For all real numbers a,b and c, if a < b then a + c < b+c. If…

Conclusion

Consequent

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 <…

axis of symmetry

completing the square

complex conjugates

complex numbers

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

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

two complex numbers of the form a+bi and a-bi.

adding real numbers to real multiples of the imaginary unit i.

axis of symmetry

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

completing the square

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

How are inequalities different from eq…

What does < mean?

what does > mean?

what does ≤ mean?

Inequalities include inequality signs like <, >, ≥, ≥ and ≤ w…

x is less than y

x is greater than y

x is less than or equal to y

How are inequalities different from eq…

Inequalities include inequality signs like <, >, ≥, ≥ and ≤ w…

What does < mean?

x is less than y

Quadratic Function

Axis of Symmetry

Vertex

Minimum Value (Min)

is a function that can be written in the form y=ax^2 + bx + c…

A vertical line that divides the parabola into two mirror ima…

The point on a parabola where the graph changes direction. Fo…

The y coordinate of the vertex if a>0.

Quadratic Function

is a function that can be written in the form y=ax^2 + bx + c…

Axis of Symmetry

A vertical line that divides the parabola into two mirror ima…

Dependent Variable

Nonlinear Function

Relation

Independent Variable

a variable that provides the output value of a funtion

a function whose graph is not a line or part of a line

any set of ordered pairs

a variable that provides the input values of a function

Dependent Variable

a variable that provides the output value of a funtion

Nonlinear Function

a function whose graph is not a line or part of a line

prime number

composite number

prime factorization

factor tree

whole number that is greater than 1 and has exactly two whole…

a whole number that is greater than 1 and has more than two w…

a whole number written as the product of prime numbers

a diagram to write the prime factorization of a number

prime number

whole number that is greater than 1 and has exactly two whole…

composite number

a whole number that is greater than 1 and has more than two w…

sequence

term of a sequence

infinite sequence

finite sequence

pattern involving an ordered arrangement of numbers, geometri…

individual number, figure, or letter in the sequence

continues on forever

terminates (stops)

sequence

pattern involving an ordered arrangement of numbers, geometri…

term of a sequence

individual number, figure, or letter in the sequence

arithmetic sequence

common difference

continuous graph

dependent variable

a sequence in which the difference between consecutive terms…

the difference between consecutive terms in an arithmetic seq…

a graph that is an unbroken line. [p. 255]

a value that can be changed or is affected by another value.…

arithmetic sequence

a sequence in which the difference between consecutive terms…

common difference

the difference between consecutive terms in an arithmetic seq…

expression

variable

equation

solution

a mathematical phrase that combines numbers, operation signs,…

a letter or symbol that stands for one number

an algebraic or numerical sentence that shows two quantities…

a value that, when substituted for the variable, makes an equ…

expression

a mathematical phrase that combines numbers, operation signs,…

variable

a letter or symbol that stands for one number

Constant of Variation

Continuous Function

Coordinate Plane

Direct Variation

The nonzero constant 'a' in a direct variation equation y=ax…

A function with a graph that is unbroken

A graph with a x-axis and a y-axis

The relationship of two variables 'x' and 'y' if there is a n…

Constant of Variation

The nonzero constant 'a' in a direct variation equation y=ax…

Continuous Function

A function with a graph that is unbroken

equation

expression

operation

variable

a mathematical sentence that shows that two expressions are e…

a combination of numbers and variables connected by one or mo…

any mathematical process, such as addition, subtraction, mult…

a symbol, picture or letter that stands for an unknown number…

equation

a mathematical sentence that shows that two expressions are e…

expression

a combination of numbers and variables connected by one or mo…

credit

creditor

assets

earning power

when you purchase something and don't pay for it right away

organizations or individuals that extend credit to consumers

everything you own

your ability to earn money now and in the future

credit

when you purchase something and don't pay for it right away

creditor

organizations or individuals that extend credit to consumers

column matrix

vertex matrix

Cramer's Rule

identity matrix

a matrix that has only one column

a matrix used to represent the coordinates of the vertices of…

a method that uses determinants to solve a system of linear e…

a square matrix that, when multiplied by another matrix, equa…

column matrix

a matrix that has only one column

vertex matrix

a matrix used to represent the coordinates of the vertices of…

Linear Function

Non-linear Function

Y-Intercept

X-Intercept

A function whose graph forms a straight line

A function whose graph does not form a straight line

Where the line crosses the y-axis.... X=0 at this point

Where the line crosses the x-axis.... Y=0 at this point

Linear Function

A function whose graph forms a straight line

Non-linear Function

A function whose graph does not form a straight line

Addition Property of Inequality

Division Property of Inequality

Inequality

Multiplication Property of Inequality

The Addition Property of Inequality states that if you add th…

The Division Property of Inequality states that is you divide…

An inequality is a mathematical sentence that contains one of…

The Multiplication Property of Inequality states that if you…

Addition Property of Inequality

The Addition Property of Inequality states that if you add th…

Division Property of Inequality

The Division Property of Inequality states that is you divide…

best-fit line

correlation coefficient

slope-intercept form

linear extrapolation

line that most closely fits data in a scatter plot

value that shows how close data points are to a line

equation in the form y=mx+b where m is slope and b is the y-i…

use of a linear equation to predict values that are outside t…

best-fit line

line that most closely fits data in a scatter plot

correlation coefficient

value that shows how close data points are to a line

complement of an event

cross products

dependent events

event

All possible outcomes that are not in the event

In a proportion, a/b = c/d, the products of ad and bc. These…

Two events in which the occurrence of one event affects the p…

Any group of outcomes in a situation involving probability

complement of an event

All possible outcomes that are not in the event

cross products

In a proportion, a/b = c/d, the products of ad and bc. These…

Elimination Method

Let Statement

Model

Point of Intersection

a method of solving a system of equations by multiplying and…

...

A set of pictures or mathematical equations, used to describe…

A point (x,y) that lies on the graph of two, or more, equatio…

Elimination Method

a method of solving a system of equations by multiplying and…

Let Statement

...

dependent variable

discrete graph

domain

function

values are possible to change due to other variables

a graph composed of distinct, isolated points.

all possible input values of a function (x values)

a relation where each input has exactly one output

dependent variable

values are possible to change due to other variables

discrete graph

a graph composed of distinct, isolated points.

Coincide

Elimination Method

Equal Values Method

Equation

2 equations do this if they have all their points in common.

A method to solve a system of equations by adding or subtract…

Take two expressions that are equal to the same variable and…

Mathematical sequence in which two expressions appear on eith…

Coincide

2 equations do this if they have all their points in common.

Elimination Method

A method to solve a system of equations by adding or subtract…

system of linear inequalities

solution of a system of linear inequal…

system of equations

cost

two or more linear inequalities on a graph

any point that is true for BOTH inequalities

two or more linear equations on a graph

the amount of money you spend on something

system of linear inequalities

two or more linear inequalities on a graph

solution of a system of linear inequal…

any point that is true for BOTH inequalities

continuous data

dependent variable

discrete data

domain

there is no space between data values for a given domain

the variable in a relation with a value that depends on the v…

data with space between possible data values

the set of x coordinates in a relation

continuous data

there is no space between data values for a given domain

dependent variable

the variable in a relation with a value that depends on the v…

best-fit line

correlation coefficient

parallel lines

perpendicular lines

The line that most closely approximates the data in a scatter…

A value that shows how close data points are to a line.

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

Lines that intersect to form a right angle.

best-fit line

The line that most closely approximates the data in a scatter…

correlation coefficient

A value that shows how close data points are to a line.

axis of symmetry

complex number

discriminant

greatest common factor

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

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

(p. 242)

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

axis of symmetry

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

complex number

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

slope-intercept form

linear extrapolation

parallel lines

perpendicular lines

(pg. 216) an equation of the form y = mx + b, where m is the…

(pg. 228) using a linear equation to make predictions about v…

(pg. 239) lines in the same plane that do not intersect

(pg. 240) lines that intersect at right angles

slope-intercept form

(pg. 216) an equation of the form y = mx + b, where m is the…

linear extrapolation

(pg. 228) using a linear equation to make predictions about v…

Best Fit Line

Constant Function

Constraint

Identity Function

what is the line through the data points on a scatter graph

a function of the form y = a where a is a real number

a limitation or restriction

f(x)=x

Best Fit Line

what is the line through the data points on a scatter graph

Constant Function

a function of the form y = a where a is a real number

Quadratic function

vertex

Axis of symmetry

maximum value

A function in which the greatest exponent is 2

The minimum or maximum of the parabola; the only point the ax…

The line through the graph of a parabola that divides the gra…

The y coordinate of the vertex of a quadratic function that o…

Quadratic function

A function in which the greatest exponent is 2

vertex

The minimum or maximum of the parabola; the only point the ax…

Quadrant

Transformation

Translation

4) Vertical stretch or shrink

4 regions of coordinate plane

produces an image by applying a rule to the coordinates of th…

moves every point vertically, horizontally, or both (slide)

moves every point away or toward the x-axis

Quadrant

4 regions of coordinate plane

Transformation

produces an image by applying a rule to the coordinates of th…