Study sets matching "math algebra chapter 8"

Study sets
Classes
Users

Study sets matching "math algebra chapter 8"

9 terms
Math Chapter 8: Algebraic Equations
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 invers…
the property that states if you subtract the same value from…
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
Big Ideas Math Algebra 1 - Chapter 8 Vocabulary
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 fu…
The vertical line that divides a parabola into two symmetric…
A quadratic function where f(-x) = f(x) for each x in the dom…
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 fu…
axis of symmetry
The vertical line that divides a parabola into two symmetric…
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.…
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…
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…
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]
11 terms
Big Ideas Math Algebra 1 - Chapter 8 Vocabulary
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 fu…
The vertical line that divides a parabola into two symmetric…
A quadratic function where f(-x) = f(x) for each x in the dom…
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 fu…
axis of symmetry
The vertical line that divides a parabola into two symmetric…
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.
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…
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…
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…
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…
13 terms
Big Ideas Math Pre Algebra 7/8 Chapter 8
Volume of a Cylinder
Base
What unit power is volume?
Volume of a Cone
πr^2h
πr^2
cubed
1/3πr^2h
Volume of a Cylinder
πr^2h
Base
πr^2
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.
5 terms
Math Chapter 8 Circles Pre Algebra
What is the formula needed to use when…
What formula is needed to use when fin…
What formula is needed to use when fin…
What formula is needed to use when fin…
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 fin…
r= d/2
9 terms
PRE-ALGEBRA 7: CHAPTER 8 - ANALYZING DATA
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…
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
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
Math Pre algebra functions chapter 8 vocabulary
constant of proportionality
unit rate
independent variable
dependent variable
If a quantity x is proportional (directly) to another quantit…
Unit rate is a comparison of two different quantities when th…
a variable (often denoted by x ) whose variation does not dep…
a variable (often denoted by y ) whose value depends on that…
constant of proportionality
If a quantity x is proportional (directly) to another quantit…
unit rate
Unit rate is a comparison of two different quantities when th…
7 terms
Chapter 8 - Algebra: Equations and Inequalities Go Math 6th Grade
Addition Property of Equality
equation
inequality
inverse operations
the property that states that if you add the same number to b…
an algebraic or numerical sentence that shows that two quanti…
a mathematical sentence that compares two expression using th…
operations that undo each other; multiplication and division…
Addition Property of Equality
the property that states that if you add the same number to b…
equation
an algebraic or numerical sentence that shows that two quanti…
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…
10 terms
Math 6th Grade Pre-Algebra Chapter 8
Constant of Proportionality
Unit Rate
Independent Variable
Dependent Variable
If one variable is always the product of the other and a cons…
When rates are expressed as a quantity of 1, such as 2 feet p…
a variable (often denoted by x ) whose variation does not dep…
a variable (often denoted by y ) whose value depends on that…
Constant of Proportionality
If one variable is always the product of the other and a cons…
Unit Rate
When rates are expressed as a quantity of 1, such as 2 feet p…
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.
10 terms
Chapter 8 Pre-Algebra Vocabulary Terms
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. =
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…
13 terms
Big Ideas Algebra 2 Chapter 8
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
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.…
14 terms
Math, Chapter 8
center
circle
circumference
composite figure
the point from which all points on circle are same distance
a round plane figure whose boundary consists of points equidi…
the distance around a circle
a figure that is made up of two or more three-dimensional fig…
center
the point from which all points on circle are same distance
circle
a round plane figure whose boundary consists of points equidi…
8 terms
AGS Algebra 2 Chapter 8
exponential growth
exponential function
scientific notation
irrational number
growth represented by a function of the form f(x) = a^x, wher…
a function of the form f(x) = a^x, where a is a positive real…
a number written as the product of a number between 1 and 10…
a number whose decimal expansion does not terminate or repeat…
exponential growth
growth represented by a function of the form f(x) = a^x, wher…
exponential function
a function of the form f(x) = a^x, where a is a positive real…
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…
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 =…
28 terms
Math~Chapter 8
ray
line
line segment
intersecting lines
A ray is part of a line that is endless in one directions. It…
A line is a set of point that is endless in both directions.
A line segment is part of a line, it has 2 endpoints.
Intersecting lines cross at one point.
ray
A ray is part of a line that is endless in one directions. It…
line
A line is a set of point that is endless in both directions.
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
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 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…
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…
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
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…
5 terms
Math. Chapter 8 Vocab.
Foot
Inch
Line Plot
Measuring Tape
a unit of length in the customary system of measurement; 1 fo…
a unit of length in the customary system of measurement. One…
a graph that records each piece of data on a number line.
a tool that can be used to measure lengths and distances that…
Foot
a unit of length in the customary system of measurement; 1 fo…
Inch
a unit of length in the customary system of measurement. One…
30 terms
Algebra Chapter 8 Exponents Review
1. Simplify (4p³)(-6p⁻⁴)
2. Simplify (-5a²b²)(2ab³)
3. State the rule for multiplying powe…
4. Simplify (-3m³)³
-24/p
-10a³b⁵
Add the powers.
-27m⁹
1. Simplify (4p³)(-6p⁻⁴)
-24/p
2. Simplify (-5a²b²)(2ab³)
-10a³b⁵
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…
17 terms
Algebra 2 Chapter 8 Vocabulary
combined variation
complex fraction
constant of variation
direct variation
...
...
...
...
combined variation
...
complex fraction
...
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…
62 terms
Financial Algebra Chapter 8 Vocabulary
adjustable rate mortgage
adjustment period
amortization table
apartment
A mortgage in which the monthly payment and the APR may chang…
The period between rate changes in an ARM; a loan with a 1-ye…
A listing of the unpaid principal, the monthly payment, the a…
A home that is rented or leased by the people who live in it;…
adjustable rate mortgage
A mortgage in which the monthly payment and the APR may chang…
adjustment period
The period between rate changes in an ARM; a loan with a 1-ye…
26 terms
PreAlgebra Chapter 8 Vocabulary
arithmetic sequence
boundary
common difference
constant of variation
...
...
...
...
arithmetic sequence
...
boundary
...
1 of 10