# Study sets matching "algebra chapter 8 rational"

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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.

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…

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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.

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…

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…

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

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

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.

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

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.

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.

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)

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…

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

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

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Rational Number

Real Numbers

Simplest Form

Algebraic Fraction

A number that can be written as a/b where a and b are integers…

The set of ALL rational numbers and irrational numbers

the form of a fraction when the numerator and denominator have…

A fraction with one or more variables in the numerator or deno…

Rational Number

A number that can be written as a/b where a and b are integers…

Real Numbers

The set of ALL rational numbers and irrational numbers

rational expression

complex fraction

reciprocal function

hyperbola

a ratio of two polynomial expressions

a rational expression with a numerator and/or denominator that…

an equation in the form f(x) = 1/a(x) where a(x) is a linear f…

the graph of a reciprocal function

rational expression

a ratio of two polynomial expressions

complex fraction

a rational expression with a numerator and/or denominator that…

Composite solids

Cone

Cylinder

Hemisphere

An object that is made up of more than one type of solid.

a three dimensional figure with one circular base and one vert…

A solid figure whose bases are formed by congruent circles in…

One of the two congruent parts into which a great circle separ…

Composite solids

An object that is made up of more than one type of solid.

Cone

a three dimensional figure with one circular base and one vert…