# Study sets matching "algebra math chapter 8"

equation

solution of an equation

inverse operations

Subtraction Property of Equality

an algebraic or number sentence that says that two quantities…

a value of a variable that makes a solution true

operations that undo each other (multiplication is the inverse…

the property that states if you subtract the same value from b…

equation

an algebraic or number sentence that says that two quantities…

solution of an equation

a value of a variable that makes a solution true

average rate of change

axis of symmetry

even function

intercept form

The slope of the line through (a, f(a)) and (b, f(b)) of a fun…

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

A quadratic function where f(-x) = f(x) for each x in the doma…

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

average rate of change

The slope of the line through (a, f(a)) and (b, f(b)) of a fun…

axis of symmetry

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

binomial

factor

generic rectangle

monomial

an expression that is the sum or difference of exactly two ter…

a number or quantity that when multiplied with another produce…

a type of diagram that helps to visualize the multiplication o…

an expression with only one term

binomial

an expression that is the sum or difference of exactly two ter…

factor

a number or quantity that when multiplied with another produce…

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. [p. 503]

the sum of the exponents of the variables of a monomial. [p. 5…

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. 5…

constant of proportionality

unit rate

independent variable

dependent variable

If a quantity x is proportional (directly) to another quantity…

Unit rate is a comparison of two different quantities when the…

a variable (often denoted by x ) whose variation does not depe…

a variable (often denoted by y ) whose value depends on that o…

constant of proportionality

If a quantity x is proportional (directly) to another quantity…

unit rate

Unit rate is a comparison of two different quantities when the…

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…

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

combined variation

complex fraction

continuous graph

discontinuous graph

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

a rational expression whose numerator and/or denominator conta…

an unbroken graph made up of connected lines or curves. [p. 51…

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 quantitie…

complex fraction

a rational expression whose numerator and/or denominator conta…

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 t…

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 t…

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.

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 polyno…

the use of the Distributive Property to factor some polynomial…

to multiply two polynomials find the sum of the products of th…

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 polyno…

average rate of change

axis of symmetry

even function

intercept form

The slope of the line through (a, f(a)) and (b, f(b)) of a fun…

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

A quadratic function where f(-x) = f(x) for each x in the doma…

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

average rate of change

The slope of the line through (a, f(a)) and (b, f(b)) of a fun…

axis of symmetry

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

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.

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

Basic Algebra

factorising Linear Brackets

Expanding Linear Brackets

Expanding Quadratics

This is an equation, to solve this you have to put the letters…

this is when you find the common factor, this will be the divi…

You have to multiply the number and/or letters in the brackets…

To expand the 2 brackets next to each other multiply everythin…

Basic Algebra

This is an equation, to solve this you have to put the letters…

factorising Linear Brackets

this is when you find the common factor, this will be the divi…

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)

Addition Property of Equality

equation

inequality

inverse operations

the property that states that if you add the same number to bo…

an algebraic or numerical sentence that shows that two quantit…

a mathematical sentence that compares two expression using the…

operations that undo each other; multiplication and division a…

Addition Property of Equality

the property that states that if you add the same number to bo…

equation

an algebraic or numerical sentence that shows that two quantit…

Addition Property of Equality

equation

inequality

inverse operations

the property that states that if you add the same number to bo…

an algebraic or numerical sentence that shows that two quantit…

a mathematical sentence that compares two expression using the…

operations that undo each other; multiplication and division a…

Addition Property of Equality

the property that states that if you add the same number to bo…

equation

an algebraic or numerical sentence that shows that two quantit…

What is the formula needed to use when…

What formula is needed to use when find…

What formula is needed to use when find…

What formula is needed to use when find…

d=2r

r= d/2

c= πd

c= 2πr

What is the formula needed to use when…

d=2r

What formula is needed to use when find…

r= d/2

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…

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 "i…

Factor

Whole numbers multiplied together forming a product.

Common Factors

Factors that are shared by 2 or more whole numbers.