#### 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…

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

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

An equation containing rational expressions.

Rational expression

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

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 quantiti…

When one quantitiy varies directy with two or more quantities.

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

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 quantiti…

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…

Inverse Variation

Constant of Variation

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

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…

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…

inverse variation

constant of variation

joint variation

rational function

two variables x and y show this relationship when y=a/x, a do…

the nonzero constant a in a variation equation.the constant a…

variation that occurs when a quantity varies directly with th…

a rational function is a function of the form f(x)=p(x)/q(x).…

inverse variation

two variables x and y show this relationship when y=a/x, a do…

constant of variation

the nonzero constant a in a variation equation.the constant a…

inverse variation

constant of variation

joint variation

rational function

two variables x and y show this relationship when y=a/x, a do…

the nonzero constant a in a variation equation.the constant a…

variation that occurs when a quantity varies directly with th…

a rational function is a function of the form f(x)=p(x)/q(x).…

inverse variation

two variables x and y show this relationship when y=a/x, a do…

constant of variation

the nonzero constant a in a variation equation.the constant a…

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…

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 cont…

K= constant of variation. The rate.

a relationship in which one variable quantity increases as an…

combined variation

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

complex fraction

a rational expression whose numerator and/or denominator cont…

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…

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…

combined variation

complex fraction

continuous graph

discontinuous graph

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

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…

complex fraction

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

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]

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 fact…

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

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 fact…

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 polyn…

The use of the Distributive Property to factor some polynomia…

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

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 polyn…

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

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.…

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…

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

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…

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…