# Study sets matching "algebra chapter 8 rational"

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Rational Function

If the exponent in the denominator is l…

If the exponent in the numerator is lar…

If the exponents values are equal in th…

A function that can be written as a polynomial divided by a po…

the line has a horizontal asymptote at y=0.

the graph has no horizontal asymptote.

then the line has a horizontal asymptote at y=a/b where a and…

Rational Function

A function that can be written as a polynomial divided by a po…

If the exponent in the denominator is l…

the line has a horizontal asymptote at y=0.

5x²... Restrictions: x≠0

(7v) / 10... Restrictions: v≠0

1 / (m-3)... Restrictions: m≠-7,3

n+5... Restrictions: n≠-1

Simplify to lowest terms and list the restrictions.

Simplify to lowest terms and list the restrictions.

Simplify to lowest terms and list the restrictions.

Simplify to lowest terms and list the restrictions.

5x²... Restrictions: x≠0

Simplify to lowest terms and list the restrictions.

(7v) / 10... Restrictions: v≠0

Simplify to lowest terms and list the restrictions.

average rate of change

axis of symmetry

even function

intercept form

The vertical line that divides a parabola into two symmetric p…

graph is symmetrical with respect to the y-axis; f(x) = f(-x)

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

average rate of change

axis of symmetry

The vertical line that divides a parabola into two symmetric p…

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…

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…

direct variation

indirect variation

constant of variation

joint variation

two variables x and y show direct variation provided that y=ax…

y = a/x with a ≠ 0... ex. profit = a/cost... as x goes up, y goes d…

the nonzero constant "a" in a direct variation equation y=ax,…

a relationship that occurs when a quantity varies directly wit…

direct variation

two variables x and y show direct variation provided that y=ax…

indirect variation

y = a/x with a ≠ 0... ex. profit = a/cost... as x goes up, y goes d…

Direct Variation

Direct Variation Equations

Inverse Variation

Inverse Variation Equations

goes through the origin, constant slope, as x increases y incr…

y=kx, k=y/x (ratio of of y/x is constant)

as x increases y decreases, as x decreases y increases

y=k/x, k=xy (product of x and y is constant)

Direct Variation

goes through the origin, constant slope, as x increases y incr…

Direct Variation Equations

y=kx, k=y/x (ratio of of y/x is constant)

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…

binomial

degree of a monomial

degree of a polynomial

difference of two squares

the sum of 2 monomials.

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

the greatest degree of any term in the polynomial.

the difference of two perfect square monomials.

binomial

the sum of 2 monomials.

degree of a monomial

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

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.

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

axis of symmetry

maximum value

parabola

vertex ofa parabola

a vertical line that divides a parabola into two symmetric par…

the y-coordinate of the vertex of the graph of y=ax^2+bx+c whe…

the U-shaped graph of a quadratic function

the lowest or highest point on a parabola

axis of symmetry

a vertical line that divides a parabola into two symmetric par…

maximum value

the y-coordinate of the vertex of the graph of y=ax^2+bx+c whe…

Product

Power

Exponent

Base

The answer to a multiplication problem.

An expression that represents repeated multiplication of the s…

The number that represents the number of times the base of a p…

The number or expression that is used as a factor repeatedly.

Product

The answer to a multiplication problem.

Power

An expression that represents repeated multiplication of the s…

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.

how to reduce monomials

how to reduce polynomials

how to multiply monomials

how to multiply polynomials

reduce coefficients, reduce variables by subtracting exponents

factor first, then follow monomial steps

multiply the numerators together and the denominators together

factor first, then follow monomial steps

how to reduce monomials

reduce coefficients, reduce variables by subtracting exponents

how to reduce polynomials

factor first, then follow monomial steps

Variable or Pronumeral

Constant

Coefficient

Distribution

x, y, or any letter that can represent a number that changes

a number that has a set value (it is not next to a variable)

a number that is directly next to a variable... A number multipli…

when a number outside parentheses multiples with all the terms…

Variable or Pronumeral

x, y, or any letter that can represent a number that changes

Constant

a number that has a set value (it is not next to a variable)

monomial

degree

polynomial

leading coefficient

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

the greatest exponent of the terms in a polynomial

a monomial or a sum of monomials, each called a term of the po…

when a polynomial is written so that the exponents of a variab…

monomial

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

degree

the greatest exponent of the terms in a polynomial

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

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…