#### Study sets matching "algebra chapter 9"

#### Study sets matching "algebra chapter 9"

Quadratic Equation

Axis of Symmetry

Discriminant

Maximum

an equation that can be written in the standard form ax^2+bx+…

the line that divides the parabola into two matching halves

determines the number of solutions of the equations

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

Quadratic Equation

an equation that can be written in the standard form ax^2+bx+…

Axis of Symmetry

the line that divides the parabola into two matching halves

axis of symmetry

maximum point

minimum point

parabola

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

the vertex of a parabola that opens downwards.

the vertex of a parabola that opens upwards.

the graph of a quadratic function that forms a U-shaped curve.

axis of symmetry

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

maximum point

the vertex of a parabola that opens downwards.

arithmetic sequence

arithmetic series

common difference

common ratio

a sequence where the difference between consecutive terms is…

a series whose terms form an arithmetic sequence. [p. 587]... f…

the difference between consecutive terms within an arithmetic…

the ratio between two consecutive terms in a geometric series…

arithmetic sequence

a sequence where the difference between consecutive terms is…

arithmetic series

a series whose terms form an arithmetic sequence. [p. 587]... f…

Monomial

Degree of monomial

Polynomial

Degree of polynomial

number, variable, or the product of a number and one or more…

sum of the exponents of the variables in the monomial

sum or difference of monomials

greatest degree of its terms

Monomial

number, variable, or the product of a number and one or more…

Degree of monomial

sum of the exponents of the variables in the monomial

axis of symmetry

completing the square

discriminant

maximum

a line that divides a figure or line in half so that each hal…

a process used to form a perfect square trinomial. [p. 576]

the expression within the radical sign of the quadratic formu…

the greatest possible amount. [p. 547]

axis of symmetry

a line that divides a figure or line in half so that each hal…

completing the square

a process used to form a perfect square trinomial. [p. 576]

Quadratic function

Standard form of a quadratic function

Quadratic parent function

Parabola

A function of the form y = ax2 + bx + c, where a is not equal…

The standard form of a quadratic function is f(x) = ax2 + bx…

The simplest quadratic function f(x) = x2 or y = x2.

The graph of a quadratic function.

Quadratic function

A function of the form y = ax2 + bx + c, where a is not equal…

Standard form of a quadratic function

The standard form of a quadratic function is f(x) = ax2 + bx…

square root

positive square root

radicand

perfect square

A number that when multiplied by itself equals a given number.

principal square root of a positive real number

The number or expression inside a radical symbol

A rational number whose square root is a whole number

square root

A number that when multiplied by itself equals a given number.

positive square root

principal square root of a positive real number

relation

domain

range

function

a set of ordered pairs

All of the input or x values in a relation or function

All of the output or y values of a relation or function

A relation where each input (x) has exactly one output (y)

relation

a set of ordered pairs

domain

All of the input or x values in a relation or function

binomial

degree of a monomial

degree of a polynomial

factor by grouping

A polynomial of two terms

The sum of the exponents of the variables of a monomial

The degree of the term with the greatest exponent for a polyn…

A method of factoring that uses the distributive property to…

binomial

A polynomial of two terms

degree of a monomial

The sum of the exponents of the variables of a monomial

Geometric sequence

Common ratio

Exponential function

Exponential growth

A sequence, in which the ratio of successive terms is a const…

The relationship between the terms in a geometric sequence. I…

a function of the form f(x) = ab^x, where a and b are real nu…

An exponential function of the form f(x) = ab^x in which b>1.…

Geometric sequence

A sequence, in which the ratio of successive terms is a const…

Common ratio

The relationship between the terms in a geometric sequence. I…

Complement

Compound event

Counting principle

Dependent events

The complement of an event is the collection of outcomes not…

A compound event is an event that consists of two or more eve…

Suppose there are m ways of making one choice and n ways of m…

Two events are dependent events if the occurrence of one even…

Complement

The complement of an event is the collection of outcomes not…

Compound event

A compound event is an event that consists of two or more eve…

base

composite number

exponent

factor

used as a factor as many times as given by the exponent

a whole number that has more than two factors

tells how many times the base is used as a factor

a process which writes a number as a product of other numbers

base

used as a factor as many times as given by the exponent

composite number

a whole number that has more than two factors

Data

Statistics

Mean

Mode

Information gathered from surveys or experiments

The study of collecting and organizing data

Sum of the data divided by the number of data; also called av…

Number or numbers that appear most often in a set of data

Data

Information gathered from surveys or experiments

Statistics

The study of collecting and organizing data

Monomial

Standard Form of a polynomial

Binomial

Degree of monomial

An expression that is a number, a variable, or product of a n…

The degrees of its monomial terms decrease from left to right

A polynomial of two terms.

The sum of the exponents of the variables.

Monomial

An expression that is a number, a variable, or product of a n…

Standard Form of a polynomial

The degrees of its monomial terms decrease from left to right

square root

radicand

irrational number

radical expression

a number which when multiplied by itself gives the original n…

the expression under the radical sign

a number that cannot be written as a quotient of two integers

An expression that contains a radical, such as a square root,…

square root

a number which when multiplied by itself gives the original n…

radicand

the expression under the radical sign

dependent variable

independent variable

sequence

linear equation

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

the variable in a function with a value that is subject to ch…

an ordered list of numbers, such as, 0,1,2,3 or 2,4,6,8

an equation in which the variables appear in separate terms a…

dependent variable

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

independent variable

the variable in a function with a value that is subject to ch…

axis of symmetry

maximum point

minimum point

parabola

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

the vertex of a parabola that opens downwards.

the vertex of a parabola that opens upwards.

the graph of a quadratic function that forms a U-shaped curve.

axis of symmetry

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

maximum point

the vertex of a parabola that opens downwards.

With exponents how can you find the ar…

With exponents how can you find the vo…

How do you put a number into scientifi…

What are the Order Of Operations?

Take the length of the side and square it.

Take one of the sides and cube it.

Move the decimal point to the left until the number is betwee…

1.Powers are calculated first from left to right.... 2.Multiplic…

With exponents how can you find the ar…

Take the length of the side and square it.

With exponents how can you find the vo…

Take one of the sides and cube it.

Inverse Trigonometric Functions

y = sin⁻¹x

y = cos⁻¹x

y = tan⁻¹x

y = sin⁻¹x... y = cos⁻¹x... y = tan⁻¹x

D: [-1,1]... R: [-90°, 90°] or [-π/2, π/2]

D: [-1, 1]... R: [0°, 180°] or [0, π]

D: (-∞, ∞)... R: (-90°, 90°) or (-π/2, π/2)

Inverse Trigonometric Functions

y = sin⁻¹x... y = cos⁻¹x... y = tan⁻¹x

y = sin⁻¹x

D: [-1,1]... R: [-90°, 90°] or [-π/2, π/2]

Secant

Sine

Tangent

cosecant

A trignometric function for an acute angle 𝛳 of a right angle…

A trignometric function for an acute angle 𝛳 of a right angle…

A trigonometric function for an acute angle 𝛳 of a right tria…

A trigonometric function for an acute angle θ of a right tria…

Secant

A trignometric function for an acute angle 𝛳 of a right angle…

Sine

A trignometric function for an acute angle 𝛳 of a right angle…

interpolation

extrapolation

least squares regression line

residual

making predictions within the data set

making predictions outside the data set

the "best" line of best fit

the distance between an observed data value and its predicted…

interpolation

making predictions within the data set

extrapolation

making predictions outside the data set

Cone

Cylinder

Polyhedron

Prism

A cone is solid with exactly one circular base and one vertex.

A cylinder is a solid with two bases that are parallel, congr…

A polyhedron is solid with a polygon for each face.

A prism is a solid with two parallel and congruent polygonal…

Cone

A cone is solid with exactly one circular base and one vertex.

Cylinder

A cylinder is a solid with two bases that are parallel, congr…

perfect square

radical sign

square root

irrational numbers

Rational numbers whose square root are whole numbers.

The symbol used to indicate a nonegative square root.

One of the 2 equal factors of a number. The square root of 25…

a number that cannot be expressed as a/b, where a and b are i…

perfect square

Rational numbers whose square root are whole numbers.

radical sign

The symbol used to indicate a nonegative square root.

expression

coefficient

compound inequality

absolute value

Contain a combination of numbers and/or variables and operati…

The numerical part of a term that contains a variable.

Two or more inequalities that are connected by the words and…

The distance a number is from zero on the number line.

expression

Contain a combination of numbers and/or variables and operati…

coefficient

The numerical part of a term that contains a variable.

-2x² - 14x + 7

-17q² - 3q + 4

-5k⁶ + 15k⁵

y³ + 3y² + y - 2

Find the sum:... ... (-3x² - 8x + 5) + (x² - 6x + 2)

Find the difference:... (q³ - 7q² - 3q) - (q³ +10q² - 4)

Find the product: ... -5k²(k⁴ - 3k³)

Find the product: ... (y + 2)(y² + y - 1)

-2x² - 14x + 7

Find the sum:... ... (-3x² - 8x + 5) + (x² - 6x + 2)

-17q² - 3q + 4

Find the difference:... (q³ - 7q² - 3q) - (q³ +10q² - 4)

absolute value function

axis of symmetry

common ratio

completing the square

a function written as f(x) = |x|, in which f(x) is greater th…

the vertical line containing the vertex of the parabola

the ratio of successive terms of a geometric sequence

to add a constant term to a binomial of the form x^2+bx so th…

absolute value function

a function written as f(x) = |x|, in which f(x) is greater th…

axis of symmetry

the vertical line containing the vertex of the parabola

zero product property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

boundary point

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

Quadratic Function

Parabola

Axis of Symmetry

Vertex

An equation in the form of y = Ax2 + Bx + C

The U-shaped graph of a quadratic function

The vertical line containing the vertex of a parabola

The maximum or minimum point of a parabola

Quadratic Function

An equation in the form of y = Ax2 + Bx + C

Parabola

The U-shaped graph of a quadratic function

Circle

Disc

Ellipse

Hyperbola

the set of all points in a plane, each of which is equidistan…

a circle with all of its interior points... (x-h)² + (y-k)² ≤ r²

the set of all points in a plane for which the sum of the dis…

the set of all points in a plane for each point (x, y), the d…

Circle

the set of all points in a plane, each of which is equidistan…

Disc

a circle with all of its interior points... (x-h)² + (y-k)² ≤ r²

axis of symmetry

common ratio

completing the square

compound interest

the verticle line that contains the vertex of a parabola.

the ratio of successive terms of a geometric sequence.

to add a constant term to a binomial of the form x² + bx so t…

A special application of exponential growth

axis of symmetry

the verticle line that contains the vertex of a parabola.

common ratio

the ratio of successive terms of a geometric sequence.

Circle

Disc

Ellipse

Hyperbola

the set of all points in a plane, each of which is equidistan…

a circle with all of its interior points... (x-h)² + (y-k)² ≤ r²

the set of all points in a plane for which the sum of the dis…

the set of all points in a plane for each point (x, y), the d…

Circle

the set of all points in a plane, each of which is equidistan…

Disc

a circle with all of its interior points... (x-h)² + (y-k)² ≤ r²

zero product property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

boundary point

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

Zero Product Property

Boundary Point

Coordinate

Quadratic Equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form 𝑎𝑥^2 + 𝑏𝑥 + 𝑐 = 0

Zero Product Property

When the product of two or more factors is zero, one of the f…

Boundary Point

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

zero product property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

boundary point

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

axis of symmetry

completing the square

discriminant

maximum

the line that divides a parabola into two matching halfs

a method of solving quadratic equations by turning part of th…

b^2 - 4ac This can be used to determine the number of solutio…

The y-coordinate of the vertex of a downward opening parabola.

axis of symmetry

the line that divides a parabola into two matching halfs

completing the square

a method of solving quadratic equations by turning part of th…

Zero Product Property

Boundary Point

Coordinate

Quadratic Equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

Zero Product Property

When the product of two or more factors is zero, one of the f…

Boundary Point

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

Zero Product Property

Boundary Point

Coordinate

Quadratic Equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

Zero Product Property

When the product of two or more factors is zero, one of the f…

Boundary Point

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

Zero Product Property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form ax^2+bx+c=0

Zero Product Property

When the product of two or more factors is zero, one of the f…

boundary point

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

zero product property

Boundary Point

Coordinate

Quadratic Equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

Boundary Point

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

zero product property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

boundary point

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

zero product property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

boundary point

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

depreciation

DF

linear equation

exponential growth

the value decreases ... Y = c( l-r) ^x... (l-r) = Decay Factor (D.…

4% - .96... 5% - .95... 5.5% - .945... 7% - .93... 7.25% - .9275... 12% - .8…

first power... y=3x+4 ... LINEEEEEEEEEEEEEEEEEEEEEEE

a quantity that is increasing by the same percent in each uni…

depreciation

the value decreases ... Y = c( l-r) ^x... (l-r) = Decay Factor (D.…

DF

4% - .96... 5% - .95... 5.5% - .945... 7% - .93... 7.25% - .9275... 12% - .8…

x axis

y axis

origin

quadrant

the horizontal axis in a coordinate system

the vertical axis in a coordinate system

the point at which the axes in a coordinate system intersect

region of a coordinate plane bounded by the x and y axes

x axis

the horizontal axis in a coordinate system

y axis

the vertical axis in a coordinate system

Addition Principle

Annuity

Arithmetic sequence

Arithmetic series

if one event can occur in m ways and a second event with no c…

an investment in which the purchaser makes a sequence of peri…

a sequence in which the difference between any two consecutiv…

the sum of the terms in an arithmetic sequence

Addition Principle

if one event can occur in m ways and a second event with no c…

Annuity

an investment in which the purchaser makes a sequence of peri…

zero product property

boundary point

coordinate

quadratic equation

When the product of two or more factors is zero, one of the f…

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

the number corresponding to a point on a number line or an or…

an equation that can be written in the form

zero product property

When the product of two or more factors is zero, one of the f…

boundary point

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

9.1 geometric sequence

9.1 common ratio

9.2 exponential function

9.3 exponential growth

a sequence in which the ratio of successive terms is the same…

the ratio of successive terms in a geometric sequence

a function in which the independent variable appears in an ex…

occurs when a quantity increases by the same rate in each tim…

9.1 geometric sequence

a sequence in which the ratio of successive terms is the same…

9.1 common ratio

the ratio of successive terms in a geometric sequence

sine

cosine

tangent

cosecant

sin θ;... ratio of the length of the opposite leg to hypotenuse;…

cos θ;... ratio of the length of the adjacent leg to hypotenuse;…

tan θ;... ratio of the length of the opposite leg to adjacent le…

reciprocal to sine;... ratio of the length of the hypotenuse to…

sine

sin θ;... ratio of the length of the opposite leg to hypotenuse;…

cosine

cos θ;... ratio of the length of the adjacent leg to hypotenuse;…