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

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

Rational expression

Excluded value

Complex fraction

Rational equation

A ratio of two polynomials. The value of the variable cannot m…

A value of x for which a rational expression f(x) is undefined.

A fraction that has a fraction in its numerator or denominator…

An equation containing rational expressions.

Rational expression

A ratio of two polynomials. The value of the variable cannot m…

Excluded value

A value of x for which a rational expression f(x) is undefined.

inverse variation

Combined Variation

Joint Variation

Reciprocal Function

Has the form xy=k, y+K/x, where k is not equal to 0.

When one quantity varies with respect to two or more quantitie…

When one quantitiy varies directy with two or more quantities.

Functions that model inverse variation have the form f(x)+ a/x…

inverse variation

Has the form xy=k, y+K/x, where k is not equal to 0.

Combined Variation

When one quantity varies with respect to two or more quantitie…

Inverse Variation

Constant of Variation

Rational Function

Simplified Form of a Rational Expression

In an inverse variation, k is the constant of variation.

a rational expression in which the numerator and denominator h…

Inverse Variation

Constant of Variation

In an inverse variation, k is the constant of variation.

combined variation

complex fraction

constant of variation

direct variation

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

a rational expression whose numerator and/or denominator conta…

K= constant of variation. The rate.

a relationship in which one variable quantity increases as ano…

combined variation

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

complex fraction

a rational expression whose numerator and/or denominator conta…

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 o…

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

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

asymptote

a line that a graph approaches but never crosses

Distance Formula

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

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…

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 t…

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 t…

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 polyno…

the use of the Distributive Property to factor some polynomial…

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

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 polyno…

combined variation

complex fraction

continuous graph

discontinuous graph

a relation in which one variable varies with respect to each o…

a rational expression that has a fraction in its numerator or…

a graph is continuous if it has no jumps, breaks, or holes

a graph is discontinuous if it has a jump, break, or hole

combined variation

a relation in which one variable varies with respect to each o…

complex fraction

a rational expression that has a fraction in its numerator or…

Additive inverses

Cube root

Integers

Irrational number

Two numbers whose sum is 0 are additive inverses.

A cube root of a number is a number that, when used as a facto…

Integers are the set of positive whole numbers, their opposite…

An irrational number is a number the cannot be written in the…

Additive inverses

Two numbers whose sum is 0 are additive inverses.

Cube root

A cube root of a number is a number that, when used as a facto…

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 th…

a binomial that is created by multiplying two different binomi…

binomial

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

degree of a monomial

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

Difference of Two Squares

Factoring

Factoring by Grouping

FOIL Method

a2 - b2 = (a - b)(a + b) or (a + b)(a - b)

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

The use of the Distributive Property to factor some polynomial…

To multiply two binomials, find the sum of the products of the…

Difference of Two Squares

a2 - b2 = (a - b)(a + b) or (a + b)(a - b)

Factoring

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

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. 5…

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. 5…

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 prod…

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

combined variation

complex fraction

continuous graph

discontinuous graph

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

a rational expression whose numerator and/or denominator conta…

an unbroken graph made up of connected lines or curves. [p. 51…

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 quantitie…

complex fraction

a rational expression whose numerator and/or denominator conta…

Power

Base

Exponential Function

Scientific Notation

A number produced by raising a base to an exponent

The number that is used as a factor in a repeated multiplicati…

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

A mathematical method of writing numbers using powers of ten.

Power

A number produced by raising a base to an exponent

Base

The number that is used as a factor in a repeated multiplicati…

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

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

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, wher…

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…

equation

solution of an equation

inverse operations

subtraction property of equality

an algebraic or numerical sentence that shows that two quantit…

a value of a variable that makes an equation true

operations that undo each other; multiplication and division a…

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

equation

an algebraic or numerical sentence that shows that two quantit…

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 o…

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 o…

Monomial

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

degree of a monomial

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

Monomial

degree of a monomial

Polynomial

Standard form of a polynomial

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

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 o…

Monomial

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

degree of a monomial

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

term

monomial

binomial

trinomial

a number, variable or product of numbers and variables

a single term expression

a two-term expression

a three-term expression

term

a number, variable or product of numbers and variables

monomial

a single term expression

Factoring by Grouping

Trinomial

Standard Form of a Polynomial

Polynomial

A method of factoring that uses the Distributive Property to r…

A polynomial of three terms.

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

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 r…

Trinomial

A polynomial of three terms.