# Study sets matching "algebra chapter 10"

Study sets

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parabola

axis of symmetry

vertex

minimum

the graph of a quadratic function (the shape)

line that divided the parabola into two matching halves

highest or lowest point of a parabola

parabola opens upward (a > 0)

parabola

the graph of a quadratic function (the shape)

axis of symmetry

line that divided the parabola into two matching halves

arithmetic means

arithmetic sequence

arithmetic series

common difference

the terms between any two nonconsecutive terms of an arithmeti…

a sequence in which each term after the first is found by addi…

the indicated sum of the terms of an arithmetic sequence

the difference between the successive terms of an arithmetic s…

arithmetic means

the terms between any two nonconsecutive terms of an arithmeti…

arithmetic sequence

a sequence in which each term after the first is found by addi…

Argument

Binomial theorem

Index

Natural logarithm

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

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

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

A logarithm base e. Abbreviated "ln".

Argument

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

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 fac…

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

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

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

Exponent

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

Power

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

conjugates

extraneous solution

legs

rationalizing the denominator

used to simplify radical expressions that involve a sum or dif…

a solution of a transformed equation that is not a solution of…

the two sides of a right triangle that form the right angle

the process of eliminating a radical from the denominator of a…

conjugates

used to simplify radical expressions that involve a sum or dif…

extraneous solution

a solution of a transformed equation that is not a solution of…

Conjugate

Converse

Distance formula

Extraneous solutions

Binomials in the form of (x+√y)(x-√y)

The statement formed by exchanging the hypothesis and conclusi…

The distance d between any two points with coordinates (x₁, y₁…

Results that are not solutions to the original equation.

Conjugate

Binomials in the form of (x+√y)(x-√y)

Converse

The statement formed by exchanging the hypothesis and conclusi…

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 nu…

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

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 nu…

Radical Functions

Square Root Functions

Radicand

Radical Expression

Functions that contain a variable under a radical

Functions that contain the square root of a variable this vari…

The expression underneath the radical

Any expression containing a radical

Radical Functions

Functions that contain a variable under a radical

Square Root Functions

Functions that contain the square root of a variable this vari…

Branch of a hyperbola

Circle

Conic section

Conjugate axis

One of the two symmetrical parts of the hyperbola

Set of all points in a plane at given distance from a given po…

Formed by the intersection of a double right cone and a plane

The axis of symmetry of a hyperbola that separates the two bra…

Branch of a hyperbola

One of the two symmetrical parts of the hyperbola

Circle

Set of all points in a plane at given distance from a given po…

statistics

measures of center

measures of variability

range

The branch of mathematics that deals with collecting, organizi…

For a list of numerical data, numbers that can represent the c…

Used to describe the distribution of statistical data.

A measure of variation that is the difference between the leas…

statistics

The branch of mathematics that deals with collecting, organizi…

measures of center

For a list of numerical data, numbers that can represent the c…

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 t…

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…

Biased Sample

Compound Event

Dependent Events

Event

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

An event that consists of two or more events.

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

A collection of one or more outcomes of an experiment.

Biased Sample

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

Compound Event

An event that consists of two or more events.

Hypotenuse

Leg

Pythagorean theorem

Conditional

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

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

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

A conditional is an if-then statement.

Hypotenuse

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

Leg

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

absolute value

equivalent equations

number line

standard form of quadratics

represents the distance on a number line between a number and…

equations that have the same graph

a diagram representing all real numbers as points on a number…

Ax² + bx + c

absolute value

represents the distance on a number line between a number and…

equivalent equations

equations that have the same graph

radicand

legs

conjugate

radical equations

The expression that is under the radical sign

The sides of the right triangle that form the right angle

Binomials of the form a/b + c/d and a/b c/d

Equations that contain radicals with variables in the radicand

radicand

The expression that is under the radical sign

legs

The sides of the right triangle that form the right angle

Angle of depression

Angle of elevation

Conclusion

Conditional

An angle from the horizontal down to the line of sight. It is…

An angle from the horizontal up to a line of sight. It is used…

the part of the if-then statement (conditional) that follows t…

is and if-then statement.

Angle of depression

An angle from the horizontal down to the line of sight. It is…

Angle of elevation

An angle from the horizontal up to a line of sight. It is used…

axis of symmetry

completing the square

discriminant

even function

the line that divides the parabola into 2 symmetrical halves

a process used to form a perfect-square trinomial

b^2-4ac

a function in which f(-x)=f(x) for all x in the domain of the…

axis of symmetry

the line that divides the parabola into 2 symmetrical halves

completing the square

a process used to form a perfect-square trinomial

distributive property

like terms

x-intercept

parabola

The property product of a and (b+c)

Terms that have the same variable held to the same power

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

The U shaped graph of a quadratic function

distributive property

The property product of a and (b+c)

like terms

Terms that have the same variable held to the same power

x-intercept

y-intercept

intercept from of a quadratic equation

standard form of a quadratic equation

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

the y-coordinate of a point where a graph crosses the y-axis

the form y=a(x-p)(x-p), where the x-intercept of the graph are…

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

x-intercept

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

y-intercept

the y-coordinate of a point where a graph crosses the y-axis

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

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, wh…

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, wh…

Standard Form of a quadratic function

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