#### Study sets matching "math algebra chapter 8"

#### Study sets matching "math algebra chapter 8"

equation

solution of an equation

inverse operations

Subtraction Property of Equality

an algebraic or number sentence that says that two quantities…

a value of a variable that makes a solution true

operations that undo each other (multiplication is the invers…

the property that states if you subtract the same value from…

equation

an algebraic or number sentence that says that two quantities…

solution of an equation

a value of a variable that makes a solution true

average rate of change

axis of symmetry

even function

intercept form

The slope of the line through (a, f(a)) and (b, f(b)) of a fu…

The vertical line that divides a parabola into two symmetric…

A quadratic function where f(-x) = f(x) for each x in the dom…

A quadratic function written in the form ... f(x) = a(x - p)(x -…

average rate of change

The slope of the line through (a, f(a)) and (b, f(b)) of a fu…

axis of symmetry

The vertical line that divides a parabola into two symmetric…

binomial

degree of a monomial

degree of a polynomial

difference of two squares

the sum of 2 monomials. [p. 503]

the sum of the exponents of the variables of a monomial. [p.…

the greatest degree of any term in the polynomial. [p. 503]

the difference of two perfect square monomials. [p. 547]

binomial

the sum of 2 monomials. [p. 503]

degree of a monomial

the sum of the exponents of the variables of a monomial. [p.…

Difference of two squares

Factoring

Factoring by grouping

FOIL method

two perfect squares separated by a subtraction sign. a² - b²…

to express a polynomial as the product of monomials and polyn…

the use of the Distributive Property to factor some polynomia…

to multiply two polynomials find the sum of the products of t…

Difference of two squares

two perfect squares separated by a subtraction sign. a² - b²…

Factoring

to express a polynomial as the product of monomials and polyn…

factoring

term

quadratic

binomial

the process of changing a sum to a product

numbers, letters, or combinations of letters and numbers that…

an expression that can be written in the form ax(x) + bx + c,…

an expression with 2 terms

factoring

the process of changing a sum to a product

term

numbers, letters, or combinations of letters and numbers that…

asymptote

Distance Formula

major axis

ellipse

a line that a graph approaches but never crosses

the square root of the sum of the squares of the differences…

the longer of the two line segments that form the axes of sym…

the set of all points in a plane such that the sum of the dis…

asymptote

a line that a graph approaches but never crosses

Distance Formula

the square root of the sum of the squares of the differences…

binomial

degree of a monomial

degree of a polynomial

difference of two squares

a polynomial made of two monomials. [p. 487]

the sum of the exponents of its variables. [p. 486]

one variable is the same as the degree of the monomial with t…

a binomial that is created by multiplying two different binom…

binomial

a polynomial made of two monomials. [p. 487]

degree of a monomial

the sum of the exponents of its variables. [p. 486]

average rate of change

axis of symmetry

even function

intercept form

The slope of the line through (a, f(a)) and (b, f(b)) of a fu…

The vertical line that divides a parabola into two symmetric…

A quadratic function where f(-x) = f(x) for each x in the dom…

A quadratic function written in the form ... f(x) = a(x - p)(x -…

average rate of change

The slope of the line through (a, f(a)) and (b, f(b)) of a fu…

axis of symmetry

The vertical line that divides a parabola into two symmetric…

equation

solution of an equation

inverse operations

subtraction property of equality

an algebraic or numerical sentence that shows that two quanti…

a value of a variable that makes an equation true

operations that undo each other; multiplication and division…

if you subtract the same number from both sides of an equatio…

equation

an algebraic or numerical sentence that shows that two quanti…

solution of an equation

a value of a variable that makes an equation true

Monomial

degree of a monomial

Polynomial

Standard form of a polynomial

A real number, a variable, or a product of a real number and…

The sum of the exponents of the variables of a monomial.

A monomial or the sum or difference of two or more monomials.…

The form of a polynomial that places the terms in descending…

Monomial

A real number, a variable, or a product of a real number and…

degree of a monomial

The sum of the exponents of the variables of a monomial.

combined variation

complex fraction

continuous graph

discontinuous graph

when one quantity varies with respect to two or more quantiti…

a rational expression whose numerator and/or denominator cont…

an unbroken graph made up of connected lines or curves. [p. 5…

a graph which has one or more jumps, gaps, or holes. [p. 516]

combined variation

when one quantity varies with respect to two or more quantiti…

complex fraction

a rational expression whose numerator and/or denominator cont…

difference of two squares

factoring by grouping

perfect square trinomial

prime polynomial

x² - 121

factoring technique often used if a polynomial... has 4 or more…

x² + 12x + 36

x² + 64

difference of two squares

x² - 121

factoring by grouping

factoring technique often used if a polynomial... has 4 or more…

common ratio

compound interest

decay factor

exponential decay

The fixed number added to each term of an arithmetic sequence

Interest paid on both the principal and the interest that has…

The base b in the exponential function y = ab^x, where 0<b<1

A situation modeled with a function of the form y = ab^x, whe…

common ratio

The fixed number added to each term of an arithmetic sequence

compound interest

Interest paid on both the principal and the interest that has…

Coefficient

Complex numbers

Conjugate

discriminate

variable(s) are multiplied by a number

Numbers written in the form a + bi where a and b are real num…

Every complex number a + bi has a conjugate, a − bi , and bot…

identifies the number of solutions to a quadratic equation

Coefficient

variable(s) are multiplied by a number

Complex numbers

Numbers written in the form a + bi where a and b are real num…

Factor

Common Factors

Greatest Common Factor (GCF)

Prime (number)

Whole numbers multiplied together forming a product.

Factors that are shared by 2 or more whole numbers.

The largest factor shared by two whole numbers.

A number is called "prime" if it's factors are ONLY "1" and "…

Factor

Whole numbers multiplied together forming a product.

Common Factors

Factors that are shared by 2 or more whole numbers.

Biased question

Box plot

Inference

Interquartile range

A biased question is a question that makes an unjustified ass…

A box plot uses 5 points on a number line to summarize a data…

An inference is a prediction or conclusion based on data or r…

The interquartile range (IQR) of a data set is the difference…

Biased question

A biased question is a question that makes an unjustified ass…

Box plot

A box plot uses 5 points on a number line to summarize a data…

Inverse Variation

Constant of variation

Joint variation

Rational function

two variables related as follows, y = a/x

value that stays same in variation problems

variation occurs when a quantity varies directly with the pro…

form of f(x) = p(x)/q(x) where p and q are polynomials

Inverse Variation

two variables related as follows, y = a/x

Constant of variation

value that stays same in variation problems

System of linear equations

Eliminating a variable

System of linear inequalities

Maximum

Two or more linear equations with the same variables

Removing one variable in a system of equations

Tow or more linear inequalities with the same variables

Largest number in a group

System of linear equations

Two or more linear equations with the same variables

Eliminating a variable

Removing one variable in a system of equations

Order of magnitude

Scientific Notation

Exponential function

Exponential growth

the power of 10 nearest the quantity

number written of the form c x 10n where 1 < c < 10

function of the form y = ab^x

function y = ab^x where a > 0 and b > 1

Order of magnitude

the power of 10 nearest the quantity

Scientific Notation

number written of the form c x 10n where 1 < c < 10

constant of proportionality

unit rate

independent variable

dependent variable

If a quantity x is proportional (directly) to another quantit…

Unit rate is a comparison of two different quantities when th…

a variable (often denoted by x ) whose variation does not dep…

a variable (often denoted by y ) whose value depends on that…

constant of proportionality

If a quantity x is proportional (directly) to another quantit…

unit rate

Unit rate is a comparison of two different quantities when th…

Addition Property of Equality

equation

inequality

inverse operations

the property that states that if you add the same number to b…

an algebraic or numerical sentence that shows that two quanti…

a mathematical sentence that compares two expression using th…

operations that undo each other; multiplication and division…

Addition Property of Equality

the property that states that if you add the same number to b…

equation

an algebraic or numerical sentence that shows that two quanti…

exponential function

exponential growth

exponential decay

growth factor

a function that can be described by an equation of the form y…

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

A quantity that is decreasing by the same percent in each uni…

the expression (1 + r) in the model y = C(1 + r)t

exponential function

a function that can be described by an equation of the form y…

exponential growth

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

Constant of Proportionality

Unit Rate

Independent Variable

Dependent Variable

If one variable is always the product of the other and a cons…

When rates are expressed as a quantity of 1, such as 2 feet p…

a variable (often denoted by x ) whose variation does not dep…

a variable (often denoted by y ) whose value depends on that…

Constant of Proportionality

If one variable is always the product of the other and a cons…

Unit Rate

When rates are expressed as a quantity of 1, such as 2 feet p…

Factoring by Grouping

Trinomial

Standard Form of a Polynomial

Polynomial

A method of factoring that uses the Distributive Property to…

A polynomial of three terms.

The form of a polynomial that places the terms in descending…

A monomial or the sum or difference of two or more monomials.

Factoring by Grouping

A method of factoring that uses the Distributive Property to…

Trinomial

A polynomial of three terms.

empty set

equation

equivalent equations

identity

Same as null set

A mathematical sentence that contains and equal sign. =

Two or more equations with the same solution. For example, x…

Equations that may have every number as their solution. An eq…

empty set

Same as null set

equation

A mathematical sentence that contains and equal sign. =

Angle of rotation

Center of rotation

Dilation

Enlargement

The angle of rotation is the number of degrees that a figure…

The center of rotation is a fixed point about which a figure…

A dilation is a transformation where the original figure and…

A dilation with a scale factor greater than 1 is an enlargeme…

Angle of rotation

The angle of rotation is the number of degrees that a figure…

Center of rotation

The center of rotation is a fixed point about which a figure…

sequence

terms of a sequence

series

sigma/summation notation

An ordered list of numbers ex. 5, 10, 15, 20, , , or 2, 4, 8,…

The values in the range of a sequence

The sum of the terms of a sequence: Finite series: 1+3+5+7 In…

For any sequence a₁, a₂ , a₃..., the sum of the first k terms…

sequence

An ordered list of numbers ex. 5, 10, 15, 20, , , or 2, 4, 8,…

terms of a sequence

The values in the range of a sequence

binomial

degree of a monomial

degree of a polynomial

difference of two squares

the sum of 2 monomials. [p. 503]

the sum of the exponents of the variables of a monomial. [p.…

the greatest degree of any term in the polynomial. [p. 503]

the difference of two perfect square monomials. [p. 547]

binomial

the sum of 2 monomials. [p. 503]

degree of a monomial

the sum of the exponents of the variables of a monomial. [p.…

center

circle

circumference

composite figure

the point from which all points on circle are same distance

a round plane figure whose boundary consists of points equidi…

the distance around a circle

a figure that is made up of two or more three-dimensional fig…

center

the point from which all points on circle are same distance

circle

a round plane figure whose boundary consists of points equidi…

exponential growth

exponential function

scientific notation

irrational number

growth represented by a function of the form f(x) = a^x, wher…

a function of the form f(x) = a^x, where a is a positive real…

a number written as the product of a number between 1 and 10…

a number whose decimal expansion does not terminate or repeat…

exponential growth

growth represented by a function of the form f(x) = a^x, wher…

exponential function

a function of the form f(x) = a^x, where a is a positive real…

Center (of a Circle)

Circle

Circumference

Composite Figure

The point inside a circle that is the same distance from all…

The set of all points in a plane that are the same distance f…

The distance around a circle.

A figure made up of triangles, squares, rectangles, semicircl…

Center (of a Circle)

The point inside a circle that is the same distance from all…

Circle

The set of all points in a plane that are the same distance f…

zero as an exponent

negative exponent

scientific notation

multiplying powers with the same base

for any nonzero number, a to the zero power = 1

for every nonzero number a and integer n, a to the -n power =…

the product of two factors in the form a X 10 to the n power…

keep the base and add the exponents

zero as an exponent

for any nonzero number, a to the zero power = 1

negative exponent

for every nonzero number a and integer n, a to the -n power =…

ray

line

line segment

intersecting lines

A ray is part of a line that is endless in one directions. It…

A line is a set of point that is endless in both directions.

A line segment is part of a line, it has 2 endpoints.

Intersecting lines cross at one point.

ray

A ray is part of a line that is endless in one directions. It…

line

A line is a set of point that is endless in both directions.

Common Ratio

Compound Interest

Decay Factor

Exponential Decay

The fixed number used to find terms in a geometric sequence.

Interest paid on both the principal and the interest that has…

The base b in the exponential function y=ab^x, where 0 < b < 1

A situation modeled with the function of the form y = ab^x, w…

Common Ratio

The fixed number used to find terms in a geometric sequence.

Compound Interest

Interest paid on both the principal and the interest that has…

Common Ratio

Compound Interest

Decay Factor

Exponential Decay

The fixed number used to find terms in a geometric sequence.

Interest paid on both the principal and the interest that has…

The base b in the exponential function y=ab^x, where 0 < b < 1.

A situation modeled with a function of the form y=ab^x, where…

Common Ratio

The fixed number used to find terms in a geometric sequence.

Compound Interest

Interest paid on both the principal and the interest that has…

power

base

exponent

scientific notation

An expression where a base is raised by an exponent

The number or variable that is used as a factor in repeated m…

Tells how many times a number (the base) is multiplied by its…

The method of expressing a very large or very small number nu…

power

An expression where a base is raised by an exponent

base

The number or variable that is used as a factor in repeated m…

Exponential function

Scientific notation

Exponential growth

Growth factor

A function of the form y= abx where x is a real number

A number expressed in the form c x 10 n,

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

The expression 1+ r in the exponential growth model where r i…

Exponential function

A function of the form y= abx where x is a real number

Scientific notation

A number expressed in the form c x 10 n,

binomial

constant

degree of a monomial

degree of a polynomial

the sum of 2 monomials

a monomial that is a real number

the sum of the exponents of all of its variables

the greatest degree of any term in the polynomial

binomial

the sum of 2 monomials

constant

a monomial that is a real number

Scientific Notation

Geometric Sequence

Common Ratio

Exponential Function

A method of writing or displaying numbers in terms of a decim…

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

The ratio of successive terms of a geometric sequence

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

Scientific Notation

A method of writing or displaying numbers in terms of a decim…

Geometric Sequence

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

Foot

Inch

Line Plot

Measuring Tape

a unit of length in the customary system of measurement; 1 fo…

a unit of length in the customary system of measurement. One…

a graph that records each piece of data on a number line.

a tool that can be used to measure lengths and distances that…

Foot

a unit of length in the customary system of measurement; 1 fo…

Inch

a unit of length in the customary system of measurement. One…

difference of two squares

factored form

factoring

factoring by grouping

Two perfect squares separated by a subtraction sign.

A monomial expressed as a product of prime numbers and variab…

To express a polynomial as the product of monomials and polyn…

The use of the Distributive Property to factor some polynomia…

difference of two squares

Two perfect squares separated by a subtraction sign.

factored form

A monomial expressed as a product of prime numbers and variab…

"Fractional equations" are equations w…

What is the first step in solving a fr…

The process called "clearing the fract…

In more complicated equations, multipl…

an X in the bottom.

getting the X out of the bottom of the fraction; then the ope…

eliminating a fraction from an equation by multiplying by the…

checking your answer by putting it back in the original equat…

"Fractional equations" are equations w…

an X in the bottom.

What is the first step in solving a fr…

getting the X out of the bottom of the fraction; then the ope…

adjustable rate mortgage

adjustment period

amortization table

apartment

A mortgage in which the monthly payment and the APR may chang…

The period between rate changes in an ARM; a loan with a 1-ye…

A listing of the unpaid principal, the monthly payment, the a…

A home that is rented or leased by the people who live in it;…

adjustable rate mortgage

A mortgage in which the monthly payment and the APR may chang…

adjustment period

The period between rate changes in an ARM; a loan with a 1-ye…