#### Study sets matching "algebra chapter 10"

#### Study sets matching "algebra chapter 10"

conclusion

conditional

conjugates

converse

the part following

**then**in a conditional.... EX: If I have tw…an

**if-then**statement.... EX: If I have two apples, then I hav…expressions that are the same but have opposite signs.

like a conditional, but when you switch the conclusion and th…

conclusion

the part following

**then**in a conditional.... EX: If I have tw…conditional

an

**if-then**statement.... EX: If I have two apples, then I hav…Argument

Binomial theorem

Index

Natural logarithm

Used with sigma notation for sequences to describe the nth te…

The formula for the expansion of (x + y)^n.

The numbers below and above the sigma that indicate which ter…

A logarithm base e. Abbreviated "ln".

Argument

Used with sigma notation for sequences to describe the nth te…

Binomial theorem

The formula for the expansion of (x + y)^n.

Exponent

Power

Base

Scientific Notation

The number that tells how many times the base is used as a fa…

The product when the factors are the same; in 3 to the 2nd po…

The product when the factors are the same; in 3 to the 2nd po…

A number written as the product of two factors; the first is…

Exponent

The number that tells how many times the base is used as a fa…

Power

The product when the factors are the same; in 3 to the 2nd po…

center of a circle

circle

conic section

directrix

the middle point of a circle from which all points are equidi…

an infinite number of points connected around an equal distan…

the curve of intersection between a circular cone and a plane…

the fixed line of a parabola. [p. 622]

center of a circle

the middle point of a circle from which all points are equidi…

circle

an infinite number of points connected around an equal distan…

polynomial

standard form of a polynomial

degree of a term

degree of a polynomial

A mathematical expression consisting of a sum of terms, each…

a polynomial that is written with the terms in order from gre…

the exponent of the variable in the term

The greatest degree of the terms of the polynomial.

polynomial

A mathematical expression consisting of a sum of terms, each…

standard form of a polynomial

a polynomial that is written with the terms in order from gre…

conditional

converse

conjugates

extraneous solution

an if-then statement, the 'if' part being the

**hypothesis**an…the reverse of a conditional statement, switching the place o…

the sum and difference of two terms. [p. 628]

an solution of an equation derived from an orginal equation b…

conditional

an if-then statement, the 'if' part being the

**hypothesis**an…converse

the reverse of a conditional statement, switching the place o…

axis of symmetry

completing the square

discriminant

maximum

The line that divides a parabola into two matching halves

A method of solving quadratic equations. Completing the squar…

The quantity b^2 - 4ac is the discriminant of ax^2 + bx + c = 0

The y-coordinate of the vertex of a parabola that opens downw…

axis of symmetry

The line that divides a parabola into two matching halves

completing the square

A method of solving quadratic equations. Completing the squar…

congruent

converse

Distance Formula

hypotenuse

line segments that have the same length, or angles that have…

the statement formed by reversing the phrases after if and th…

the distance between two points, with coordinates (x1,y1) and…

the side opposite the right angle in a right triangle

congruent

line segments that have the same length, or angles that have…

converse

the statement formed by reversing the phrases after if and th…

survey

population

random sample

stratified sample

A questionnaire or interview designed to investigate the opin…

The entire group you want data about

A group of subjects representing the population who are selec…

A sample drawn so that identified subgroups in the population…

survey

A questionnaire or interview designed to investigate the opin…

population

The entire group you want data about

Conjugate

Converse

Distance formula

Extraneous solutions

Binomials in the form

The statement formed by exchanging the hypothesis and conclus…

The distance d between any two points with coordinates (x1, y…

Results that are not solutions to the original equation.

Conjugate

Binomials in the form

Converse

The statement formed by exchanging the hypothesis and conclus…

Categorical Data

Two-Way Frequency Table

Frequency Distribution

Joint Frequency

Data that can be grouped into categories

A method of displaying categorical data by representing the n…

Displays the frequencies for categorical data in a two-way ta…

Any frequency you record within the body of a two-way table

Categorical Data

Data that can be grouped into categories

Two-Way Frequency Table

A method of displaying categorical data by representing the n…

radical expression

rationalize denominator

conjugates

quadratic functions

an expression that contains a square root

a method used to eliminate radicals from the denominator of a…

binomials of the form a times the square root of b + c times…

an equation of the form y=ax squared+bx+c, where a =/0.

radical expression

an expression that contains a square root

rationalize denominator

a method used to eliminate radicals from the denominator of a…

conclusion

conditional

conjugates

converse

the part following

**then**in a conditional.... EX: If I have tw…an

**if-then**statement.... EX: If I have two apples, then I hav…expressions that are the same but have opposite signs.

like a conditional, but when you switch the conclusion and th…

conclusion

the part following

**then**in a conditional.... EX: If I have tw…conditional

an

**if-then**statement.... EX: If I have two apples, then I hav…Biased Sample

Compound Event

Dependent Events

Event

A sample that is not representative of a population; one or m…

An event that consists of two or more events.

Two events such that the occurrence of one event affects the…

A collection of one or more outcomes of an experiment.

Biased Sample

A sample that is not representative of a population; one or m…

Compound Event

An event that consists of two or more events.

parabola

focus of a parabola

directrix

focal length

set of all points that are equidistant from a fixed line and…

fixed point

fixed line

distance between the vertex and the focus of a parabola

parabola

set of all points that are equidistant from a fixed line and…

focus of a parabola

fixed point

Acute angle

Adjacent angles

Base of a parallelogram

Base of a triangle

An acute angle is an angle with a measure between 0 and 90 de…

Adjacent angles share a vertex and a side but have no interio…

The height of a parallelogram is the length of a perpendicula…

Any side of a triangle can be considered the base of a triang…

Acute angle

An acute angle is an angle with a measure between 0 and 90 de…

Adjacent angles

Adjacent angles share a vertex and a side but have no interio…

ratio

proportion

cross product

solving a proportion

a comparison of two numbers or quantities

a statement that two ratios are equal

the product of numbers across from each other in a proportion…

finding a number in a proportion when the other three numbers…

ratio

a comparison of two numbers or quantities

proportion

a statement that two ratios are equal

Quadratic Function

Standard Form of a quadratic function

Axis of Symmetry

Vertex

A function that can be written in the form f(x) = ax2+bx+c, w…

Ax^2 + bx + c. Where a cannot =0

x=-b/2a

A point where two or more straight lines meet.

Quadratic Function

A function that can be written in the form f(x) = ax2+bx+c, w…

Standard Form of a quadratic function

Ax^2 + bx + c. Where a cannot =0

converse

cosine

radicand

Pythagorean Theorem

the result of exchanging the hypothesis and conclusion of an…

trigonometric ratio equivalent to the leg adjacent to an angl…

the expression under the radical symbol

if the lengths of two sides of a right trangle are given, the…

converse

the result of exchanging the hypothesis and conclusion of an…

cosine

trigonometric ratio equivalent to the leg adjacent to an angl…

conjugate

converse

Distance Formula

hypotenuse

Binomials of the from a√b + c√d and a√b - c√d

the statement formed by exchanging the hypothesis and conclus…

d = √[( x₂ - x₁)² + (y₂ - y₁)²]

the side opposite the right angle in a right triangle

conjugate

Binomials of the from a√b + c√d and a√b - c√d

converse

the statement formed by exchanging the hypothesis and conclus…

square root functions

radical function

radicand

radical expresssion

contains the square root of a variable

a type of square root function

the expression under the radical sign

contains a radical, such as a square root

square root functions

contains the square root of a variable

radical function

a type of square root function

absolute value

association

base

boundary point

the distance of the number from zero

a relationship between two or more numbers

what an exponent is applied to

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

absolute value

the distance of the number from zero

association

a relationship between two or more numbers

absolute value

association

base

boundary point

the distance of the number from zero

a relationship between two (or more) variables

what an exponent is applied to

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

absolute value

the distance of the number from zero

association

a relationship between two (or more) variables

absolute value

association

base

boundary point

the distance of the number from zero

a relationship between two or more numbers

what an exponent is applied to

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

absolute value

the distance of the number from zero

association

a relationship between two or more numbers

Conjugate

Converse

Distance formula

Hypotenuse

Binomials in the form

The statement formed by exchanging the hypothesis and conclus…

The distance d between any two points with coordinates (x1, y…

The side opposite the right angle in a right triangle.

Conjugate

Binomials in the form

Converse

The statement formed by exchanging the hypothesis and conclus…

absolute value

association

base

boundary point

the distance of the number from zero

a relationship between two or more numbers

what an exponent is applied to

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

absolute value

the distance of the number from zero

association

a relationship between two or more numbers

Bivariate data

Clustering

Frequency

Negative association

Bivariate data show the relationship between two variables.

Clustering is when data points are grouped closely together.

The number of times a data item occurs is the frequency of th…

There is a negative association between two sets of data if o…

Bivariate data

Bivariate data show the relationship between two variables.

Clustering

Clustering is when data points are grouped closely together.

Hypotenuse

Leg

Pythagorean theorem

Conditional

The side opposite the right angle in a right triangle. It is…

Each of the sides that form the right angle of a right triang…

In any right triangle, the sum of the squares of the lengths…

A conditional is an if-then statement.

Hypotenuse

The side opposite the right angle in a right triangle. It is…

Leg

Each of the sides that form the right angle of a right triang…

Change of Base Formula

Common Logarithm

Exponential Decay

Exponential Growth

For all positive numbers a, b, and n, where a does not equal…

Logarithms that use 10 as the base.

Exponential decay occurs when a quantity decreases exponentia…

Exponential growth occurs when a quantity increases exponenti…

Change of Base Formula

For all positive numbers a, b, and n, where a does not equal…

Common Logarithm

Logarithms that use 10 as the base.

Random Process

Long Range Patterns

Experimental Probability

Theoretical

Each outcome is equally likely and the events do not depend o…

may be predictable. If you flip a coin many times you would e…

Based on trials, observations or experiments. (I flipped head…

desired event divided by possible outcomes(P(heads) = 1/2 = .5)

Random Process

Each outcome is equally likely and the events do not depend o…

Long Range Patterns

may be predictable. If you flip a coin many times you would e…

assets

bar graph

budget check-off matrix

budget line graph

A person's property or what is owned.

A type of graph or data display that uses rectangular bars to…

Where there are no amounts in the budget, but rather check ma…

A type of graph is used when a consumer is comparing two cate…

assets

A person's property or what is owned.

bar graph

A type of graph or data display that uses rectangular bars to…

polynomial

standard form

degree of a polynomial

monomial

an expression consisting of four or more terms

a polynomial whose terms are placed in descending order, from…

the value of the highest exponent in the expression

a polynomial with only one term (no addition or subtraction i…

polynomial

an expression consisting of four or more terms

standard form

a polynomial whose terms are placed in descending order, from…

conjugate

converse

hypotenuse

legs

binomials of the form a(square root of)b+c(square root of)d a…

the statement formed by exchanging the phrases after if and t…

the side opposite the right angle in a right triangle

the sides of a right triangle that form the right angle

conjugate

binomials of the form a(square root of)b+c(square root of)d a…

converse

the statement formed by exchanging the phrases after if and t…

center of a circle

circle

conic section

directrix

the middle point of a circle from which all points are equidi…

an infinite number of points connected around an equal distan…

the curve of intersection between a circular cone and a plane…

the fixed line of a parabola. [p. 622]

center of a circle

the middle point of a circle from which all points are equidi…

circle

an infinite number of points connected around an equal distan…

half side parabola

radical expression

rationalize the denominator

combining like terms

graph a problem like y=3*sqrt x would make.

a problem that has a radical but no equal sign such as sqrt 2…

multiplying the numerator and the denominator by a factor tha…

you can only simplify expressions like 5

**sqrt 2+7**sqrt 2 not…half side parabola

graph a problem like y=3*sqrt x would make.

radical expression

a problem that has a radical but no equal sign such as sqrt 2…

conclusion

conditional

conjugates

converse

the part following

**then**in a conditional.... EX: If I have tw…an

**if-then**statement.... EX: If I have two apples, then I hav…expressions that are the same but have opposite signs.

like a conditional, but when you switch the conclusion and th…

conclusion

the part following

**then**in a conditional.... EX: If I have tw…conditional

an

**if-then**statement.... EX: If I have two apples, then I hav…equality

graphing

solution

inequality

the state of being equal; shown by the equal sign

showing on a number line the relationship of a set of numbers

the value of a variable that makes an open statement true

two quantities that are not the same; shown by the less than,…

equality

the state of being equal; shown by the equal sign

graphing

showing on a number line the relationship of a set of numbers

Ratio

propertion

cross product

solving a proportion

a comparison of two numbers or quantitites

a statement that two rations are equal

the product of numbers across from each other in a proportion…

finding a number in a proportion when the other three numbers…

Ratio

a comparison of two numbers or quantitites

propertion

a statement that two rations are equal

Quadratic Function

Standard form of a quadratic function

Parabola

Axis of symmetry

Is a function that can be written in the form y= a x squared…

The form of a quadratic function which can be written in the…

The graph of a quadratic function is a U-shaped curve.

The fold or line that divides the parabola into two matching…

Quadratic Function

Is a function that can be written in the form y= a x squared…

Standard form of a quadratic function

The form of a quadratic function which can be written in the…

conjugates

converse

cosine

hypotenuse

binomials of the form

the statement formed by exchanging the phrases after if and t…

for an acute angle of a right triangle, the ratio of the meas…

the side opposite the right angle in a right triangle

conjugates

binomials of the form

converse

the statement formed by exchanging the phrases after if and t…

Conditional

Conjugates

Extraneous Soultions

Hypotenuse

If then statement

The sum and the differnce of the same two terms

A solution of an equation derived from an orginal equation

The side opposite the right angle in a right triangle.

Conditional

If then statement

Conjugates

The sum and the differnce of the same two terms