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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…

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…

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…

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]

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

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…

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…

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

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.…

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

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.

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…

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 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…

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…

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.

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.…

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 =…

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…

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…

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…

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…

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

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…

Angle of rotation

Center of hyperbola

Center of a ellipse

Conic section

an acute angle formed by a set of axes rotated from the Carte…

the midpoint of both the transverse and conjugate axes of a h…

the midpoint of both the major and minor axes

any shape resulting from the intersection of a right circular…

Angle of rotation

an acute angle formed by a set of axes rotated from the Carte…

Center of hyperbola

the midpoint of both the transverse and conjugate axes of a h…

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…

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…

Base

Exponent

Monomial

Scientific Notation

the number or expression that is used as a factor in a repeat…

the number or variable that represents the number of times th…

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

a number in the form of c X 10ⁿ where 1≤c<10 and n is an inte…

Base

the number or expression that is used as a factor in a repeat…

Exponent

the number or variable that represents the number of times th…

Biased question

Box plot

Inference

Interquartile range

A biased question is a question that makes an unjustified ass…

A box plot uses 5 points on a number line to summarize a data…

An inference is a prediction or conclusion based on data or r…

The interquartile range (IQR) of a data set is the difference…

Biased question

A biased question is a question that makes an unjustified ass…

Box plot

A box plot uses 5 points on a number line to summarize a data…

empty set

equation

equivalent equations

identity

Same as null set

A mathematical sentence that contains and equal sign. =

Two or more equations with the same solution. For example, x…

Equations that may have every number as their solution. An eq…

empty set

Same as null set

equation

A mathematical sentence that contains and equal sign. =

"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…

Cancelling

Least Common Multiple (LCM)

Opposite of a fraction

Extraneous solution

To cancel in a fraction means to divide the numerator and den…

A common multiple of integers a and b is a number that equals…

For any fraction a/b, with b not equal to 0, the negative sig…

An extraneous solution is a value of the variable that satisf…

Cancelling

To cancel in a fraction means to divide the numerator and den…

Least Common Multiple (LCM)

A common multiple of integers a and b is a number that equals…

sequence

terms of a sequence

series

sigma/summation notation

An ordered list of numbers ex. 5, 10, 15, 20, , , or 2, 4, 8,…

The values in the range of a sequence

The sum of the terms of a sequence: Finite series: 1+3+5+7 In…

For any sequence a₁, a₂ , a₃..., the sum of the first k terms…

sequence

An ordered list of numbers ex. 5, 10, 15, 20, , , or 2, 4, 8,…

terms of a sequence

The values in the range of a sequence

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.…

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…

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.

Y varies directly as X. Y=KX

combined variation

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

complex fraction

a rational expression whose numerator and/or denominator cont…

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.…

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 ver…

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

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

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 ver…