Study sets matching "algebra chapter 8 rational"

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Study sets matching "algebra chapter 8 rational"

11 terms
Algebra II Chapter 8 Rational Functions
Direct Variation
Inverse Variation
Combined variation
Joint Variations
y=kx
y=k/x
one quantity varies with respect to two or more quantities
one quantity varies directly with two or more quantities
Direct Variation
y=kx
Inverse Variation
y=k/x
Chapter 8 Rational Functions
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…
Honors Algebra 2 Unit 8 - Rational Functions
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.
8 terms
ALGEBRA: CHAPTER 11- RATIONAL EXPRESSIONS AND FUNCTIONS
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.
11 terms
Chapter 8 - Rational Functions
Domain
x-int
y-int
hole
ARN, x not = any input that causes the dem = 0
set num = 0, solve (after canceling)
ratio of constants
cancels in function
Domain
ARN, x not = any input that causes the dem = 0
x-int
set num = 0, solve (after canceling)
12 terms
EL Algebra Chapter 8: Quadratics
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…
20 terms
Algebra 2 Chapter 8
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…
Chapter 8 Rational Functions
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…
Chapter 8 Rational Functions
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…
9 terms
Algebra Chapter 8 Review
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…
9 terms
Algebra Chapter 8
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…
17 terms
Algebra 2 Chapter 8
combined variation
complex fraction
constant of variation
direct variation
when one quantity varies with respect to two or more quantiti…
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 with respect to two or more quantiti…
complex fraction
a rational expression whose numerator and/or denominator cont…
Chapter 8 Vocabulary (Rational Functions)
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…
10 terms
Chapter 8 - Algebra 2
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…
12 terms
PRE-ALGEBRA 7: CHAPTER 1 - INTEGERS AND RATIONAL NUMBERS
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…
10 terms
Algebra 1 ~ Chapter 8
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]
Algebra 2, Chapter 8
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
Algebra Chapter 8 Vocabulary
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
10 terms
Algebra 1 - Chapter 8
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.…
12 terms
Algebra 2 ~ Chapter 8
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…
Algebra 1, Chapter 8
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
12 terms
Algebra - Chapter 8
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…
Intermediate Algebra Chapter 8
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…
21 terms
Unit 8 Rational Functions - Algebra 2
direct variation
inverse variation
joint variation
combined variation
y = k x
y = k / x
y = k x z
y = k x / z
direct variation
y = k x
inverse variation
y = k / x
12 terms
Chapter 8 Algebra definitions
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
10 terms
ALGEBRA: CHAPTER 8 - POLYNOMIALS AND FACTORING
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.
Chapter 8 - Algebra
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.
5 terms
Ms. Gilbert - Algebra 1- Chapter 8
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.
8 terms
Pre-Algebra Chapter 8
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…
10 terms
Algebra 1 - Chapter 8
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.…
Chapter 8 Pre-Algebra
slope-intercept form
constant of variation
vertical-line test
y-intercept
a line written in the form y=mx + b
k is this in y=kx
to test if a graph is a function
the "b" value in y=mx+b
slope-intercept form
a line written in the form y=mx + b
constant of variation
k is this in y=kx
7 terms
Algebra Chapter 8
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,
17 terms
Algebra Chapter 8 Vocabulary
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
17 terms
Algebra Chapter 8
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 =…
Algebra Chapter 8 Vocabulary
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…
Chapter 8 Algebra Vocab
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…
CPM Algebra 1: Chapter 8
binomial
product
roots
zeros
two unlike terms
multiplication
also known as zeros, values of x that make the value of the q…
also known as roots, values of x that make the value of the q…
binomial
two unlike terms
product
multiplication
Algebra Chapter 8
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…
10 terms
Algebra 1 Chapter 8
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…
15 terms
PRE-ALGEBRA 8: CHAPTER 8 - TRANSFORMATIONS
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…
14 terms
College Algebra Chapter 2: Polynomial and Rational Functions
standard form
general form
vertex
intermediate value theorem
f(x) = a(x-h)^2+k
f(x) = ax^2+bx+c
(-b/2a,f(-b/2a))
let a and b be real numbers such that a<b. If f is a polynomi…
standard form
f(x) = a(x-h)^2+k
general form
f(x) = ax^2+bx+c
17 terms
Algebra 2 Chapter 8 Vocabulary
combined variation
complex fraction
constant of variation
direct variation
...
...
...
...
combined variation
...
complex fraction
...
10 terms
Algebra 1B Chapter 8 Vocabulary
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…
Algebra: Chapter 8
"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…
Algebra Chapter 8 Vocab
inverse variation
combined variation
joint variation
reciprocal function
y=k/x
one variable varies with 2 or more other variables
one variable varies directly with 2 or more other variables
y= a/x-h + k
inverse variation
y=k/x
combined variation
one variable varies with 2 or more other variables
Chapter 8: Rational and Radical Functions
direct variation
constant of variation
joint variation
inverse variation
y=kx (k ≠ 0)
k (y=kx, y varies directly as x)
y=kxz (y varies jointly as x and z)
y=k/x
direct variation
y=kx (k ≠ 0)
constant of variation
k (y=kx, y varies directly as x)
Chapter 8: Polynomials and rational expressions
Rational expression
Simplest form
Scientific notation
Least common multiple
Any expression that can be written as the quotient of two pol…
Any fraction whose numerator and denominator are integers or…
A form of writing numbers that is provides an efficient way t…
...
Rational expression
Any expression that can be written as the quotient of two pol…
Simplest form
Any fraction whose numerator and denominator are integers or…
Chapter 8 Pearson Algebra 1 Cumulative
Binomial
Degree of a monomial
Degree of a polynomial
Monomial
a polynomial with two terms
the sum of the exponents of its variables
the degree of the monomial with the greatest exponent
a real number, a variable, or a product of a real number and…
Binomial
a polynomial with two terms
Degree of a monomial
the sum of the exponents of its variables
Math Chapter 8 Rational Functions and Relations
Mixture Equations
Distance Equation
Work Equation
Vertical Asymptote is found in
(% / 100) = (amount of ____ / total solution)
d=rt and [ .5d / constant rate - current (r) ] + [ .5d / cons…
[ # of total people / # of ____ built ] + [ # of other people…
the denominator
Mixture Equations
(% / 100) = (amount of ____ / total solution)
Distance Equation
d=rt and [ .5d / constant rate - current (r) ] + [ .5d / cons…
9 terms
Algebra 1 Chapter 8
Completing the square
Cubic equation
Discriminant
Double root
is a method for solving any quadratic equation
a polynomial equation in which the highest sum of exponents o…
If discriminant (D) is equal to 0 then the equation has one r…
a root that appears twice in the solution of an algebraic equ…
Completing the square
is a method for solving any quadratic equation
Cubic equation
a polynomial equation in which the highest sum of exponents o…
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