Study sets matching "algebra ii honors chapter 7"

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Study sets matching "algebra ii honors chapter 7"

8 terms
Honors Algebra 2: Chapter 7 Vocabulary
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
Chapter 7 (p. 506, 7-3)... COMMON LOGAR…
Chapter 7 (p. 522, 7-5)... EXPONENTIAL…
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
20 terms
Algebra 2 Honors/IB Chapter 7 Vocabulary
polynomial in one variable
degree of a polynomial
leading coefficient
polynomial function
a polynomial that contains only one variable
greatest exponent of its variable
the term with the highest degree
a polynomial equation used to represent a function
polynomial in one variable
a polynomial that contains only one variable
degree of a polynomial
greatest exponent of its variable
10 terms
Algebra 2 - Chapter 7
asymptote
Change Base Formula
common logarithm
exponential decay
a line that a graph approaches, but never crosses.
a formula designed to change the base of a logarithm to make…
a logarithm with a base of 10.
the decrease of positive y-values in an exponential function.
asymptote
a line that a graph approaches, but never crosses.
Change Base Formula
a formula designed to change the base of a logarithm to make…
18 terms
Honors Algebra 2 Chapter 7 Vocab. 2015
Composition of Functions
Inverse Relation
Inverse Function
One-to-One
A function is performed, and then a second function is perfor…
Two relations are inverse of and only if whenever one relatio…
Two functions f and g are inverse functions if and only if bo…
1) A function where each element of the range is paired with…
Composition of Functions
A function is performed, and then a second function is perfor…
Inverse Relation
Two relations are inverse of and only if whenever one relatio…
11 terms
Algebra 2 Honors Chapter 7
As the coefficient goes up, the narrow…
When p=1
When p=0
When p= even integer
As the coefficient goes up, the narrower it is
D: All Reals... R: All Reals... Directly Proportional... "Straight Line"
D: All Reals... R: y=K... Linear... "Horizontal Line"
D: All Reals... R: y>_0... Parabolic, bigger the power, the more na…
As the coefficient goes up, the narrow…
As the coefficient goes up, the narrower it is
When p=1
D: All Reals... R: All Reals... Directly Proportional... "Straight Line"
8 terms
Honors Algebra 2: Chapter 7 Vocabulary
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
Chapter 7 (p. 506, 7-3)... COMMON LOGAR…
Chapter 7 (p. 522, 7-5)... EXPONENTIAL…
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
12 terms
Algebra 2 Honors Chapter 7 Vocabulary
Fundamental Counting Principle
Permutation
Combination
Theoretical Probability
A way to figure out the total number of ways different events…
A way, in which a set or number of things can be ordered or a…
A grouping of items, in which order does not matter
the ratio of the number of favorable outcomes to the number o…
Fundamental Counting Principle
A way to figure out the total number of ways different events…
Permutation
A way, in which a set or number of things can be ordered or a…
Honors Algebra Chapter 7 Vocab
scientific notation
index
monomial
degree of a monomial
a method of writing very large numbers or very small numbers…
in the radical the number not inside the house
a number or a product of number and variable w whole number e…
the sum of the exponents of the variable in the monomial
scientific notation
a method of writing very large numbers or very small numbers…
index
in the radical the number not inside the house
Honors Algebra 2 Chapter 7 Test
rule for arithmetic sequence
rule for sum of arithmetic sequence
rule for geometric sequence
rule for sum of geometric sequence
an = a₁ + (n-1)d
Sn = n((a₁ + an)/2)
an = a₁(r)ⁿ⁻¹
Sn = a₁((1-rⁿ)/(1-r))
rule for arithmetic sequence
an = a₁ + (n-1)d
rule for sum of arithmetic sequence
Sn = n((a₁ + an)/2)
Honors Algebra II Chapter 7 vocab
Conjugates
Radical equation
nth root
Square root function
Binomials of the form a√b + c√d, where a,b,c, and d are ratio…
An equation with radicals that have variables in the radicands
For any real numbers a and b, and any positive integer n, if…
A function that contains a square root of a variable
Conjugates
Binomials of the form a√b + c√d, where a,b,c, and d are ratio…
Radical equation
An equation with radicals that have variables in the radicands
35 terms
Algebra 1 Honors Vocabulary Chapter 7
Order of Magnitude
Product of Powers Property
a^n x a^m ---> a^(n + m)
Power of a Power Property
The power of 10 nearest the quantity.
a^n x a^m ---> a^(n + m)
Product of Powers Property
(a^n)^m ---> a^(n x m)
Order of Magnitude
The power of 10 nearest the quantity.
Product of Powers Property
a^n x a^m ---> a^(n + m)
7 terms
Big Ideas Algebra 2 Chapter 7
constant of variation
inverse variation
rational function
rational expression
The constant a in the inverse variation equation y=a/x, where…
Two variables x and y show inverse variation when y=a/x, wher…
A function that has the form f(x)=p(x)/q(x), where p(x) and q…
A fraction whose numerator and denominator are nonzero polyno…
constant of variation
The constant a in the inverse variation equation y=a/x, where…
inverse variation
Two variables x and y show inverse variation when y=a/x, wher…
48 terms
Algebra 2 Honors
polynomials
square a number
first difference
second difference
an expression of more than 2 algebraic terms.
...to multiply a number by itself or to raise it to the power…
Values obtained by subtracting each term in a sequence from i…
Differences that are found by subtracting consecutive first d…
polynomials
an expression of more than 2 algebraic terms.
square a number
...to multiply a number by itself or to raise it to the power…
Honors Algebra Chapter 7 formulas
Arithmetic sequence
Geometric Sequence
Compound Interest
Simple Interest
an = a1 + (n - 1)d
an = a1 r^n-1
A = P (1 + r/n) ^nt
A= P + PRT
Arithmetic sequence
an = a1 + (n - 1)d
Geometric Sequence
an = a1 r^n-1
9 terms
Honors Algebra II: Chapter 7 Exponential and Logarithmic Function
logarithmic function
Exponential Growth and Decay Model
Continuously Compounded Interest
common logarithm
the inverse of an exponential function
A(t) = a(1+r)^t
A(t) = Pe^rt
a logarithm with base 10
logarithmic function
the inverse of an exponential function
Exponential Growth and Decay Model
A(t) = a(1+r)^t
Algebra I Honors: Chapter 7-1--7-5 (Omit 7-2) Properties.
Property Of Zero Exponents
Property Of Negative Exponents
Product Of Powers
Power Of A Power
Zero as an Exponent: For every nonzero number a a^0= 1.... Examp…
Negative Exponent: For every nonzero number a and integer n,…
Words: To multiply powers with the same base add the exponent…
Words: To raise a power to a power, multiply the exponents.... A…
Property Of Zero Exponents
Zero as an Exponent: For every nonzero number a a^0= 1.... Examp…
Property Of Negative Exponents
Negative Exponent: For every nonzero number a and integer n,…
11 terms
Algebra 2, Chapter 7
Exponential function
Exponential growth function
Growth/decay factor
Asymptote
function with equation of the form y = abx
exponential function where a > 0 and b > 1
b value in exponential function
line that a graph approaches but never crosses
Exponential function
function with equation of the form y = abx
Exponential growth function
exponential function where a > 0 and b > 1
Chapter 7 Davison- vocab honors Algebra II
Exponential function
Exponential growth
Exponential decay
Asymptote
Ncdjwcbkj
Djsnsjcn
Udcnuij
Cnwjdowoi
Exponential function
Ncdjwcbkj
Exponential growth
Djsnsjcn
20 terms
Algebra 2 Chapter 7
Complex Conjugates Theorem
identity function
quadratic form
composition of functions
for any polynomial function, if an imaginary number is a zero…
the function f(x) = x
for any numbers a, b, and c, except for a = 0, an equation th…
a function is performed, and then a second function is perfor…
Complex Conjugates Theorem
for any polynomial function, if an imaginary number is a zero…
identity function
the function f(x) = x
Algebra 2 ~ Chapter 7
asymptote
Change of Base Formula
Continuously Compounded Interest
common logarithm
a straight line that is the limiting value of a curve or grap…
the formula to evaluate a logarithm with any base. [p. 464]
the formula for calculating interest over an annual rate. [p.…
a logarithm with base 10. [p. 453]
asymptote
a straight line that is the limiting value of a curve or grap…
Change of Base Formula
the formula to evaluate a logarithm with any base. [p. 464]
17 terms
Algebra 2 ~ Chapter 7
asymptote
Change of Base Formula
Continuously Compounded Interest
common logarithm
a straight line that is the limiting value of a curve or grap…
the formula to evaluate a logarithm with any base. [p. 464]
the formula for calculating interest over an annual rate. [p.…
a logarithm with base 10. [p. 453]
asymptote
a straight line that is the limiting value of a curve or grap…
Change of Base Formula
the formula to evaluate a logarithm with any base. [p. 464]
10 terms
Chapter 7, Algebra 2
exponential function
exponential growth function
asymptote
exponential growth model
A function where the base is a constant and the exponent is t…
f(x) = b^x, where b > 1.
A line that the graph of the function approaches.
A(t) = a(1 + r)^t, used to find the amount A(t) after t time…
exponential function
A function where the base is a constant and the exponent is t…
exponential growth function
f(x) = b^x, where b > 1.
14 terms
Honors Algebra 1 Chapter 7 Vocab.
scientific method
index
monomial
degree of a monomial
a method of writing numbers that are very large or very small…
the small number to the left of the radical symbol that tells…
a number, variable, or a product of numbers and variables wit…
the sum of the exponents of the variables
scientific method
a method of writing numbers that are very large or very small…
index
the small number to the left of the radical symbol that tells…
Honors Algebra 3-4 Chapter 7
The law of sine
The law of sine area formula
When finding a large angle in law of s…
The law of cosine
sinA/a = sinB/b
1/2 absinC
Subtract angle from 180,
c^2 = a^2 + b^2 -2(a)(b)cosC
The law of sine
sinA/a = sinB/b
The law of sine area formula
1/2 absinC
25 terms
Algebra 2 Chapter 7 Vocabulary
asymptote
Change of Base Formula
common logarithm
compound interest
...
...
...
...
asymptote
...
Change of Base Formula
...
Honors Algebra - Chapter 7 - Vocab/Rules (Bro. Charles)
Motion in same direction
Motion in the opposite direction
Round Trip
1. Insufficient information... 2. Inconsi…
The type of uniform motion problem in which distances must be…
The type of uniform motion problem in which times must be equ…
The type of uniform motion problem in which distance out equa…
An application may not have a solution if there is:
Motion in same direction
The type of uniform motion problem in which distances must be…
Motion in the opposite direction
The type of uniform motion problem in which times must be equ…
27 terms
Honors Algebra II - Chapter 2 Vocabulary
Parent Function
Line of Best Fit
Scatterplot
Reflection
Simplest form of a set of functions that form a family
The trend line that finds the most accurate model of related…
Graph that relates two different sets of data by plotting the…
Flips the graph of a function across a line
Parent Function
Simplest form of a set of functions that form a family
Line of Best Fit
The trend line that finds the most accurate model of related…
Chapter 7 vocab terms Algebra 1 Honors
Monomial
Constant
Zero Exponent
Negative exponent
A number, a variable, or a product of a number and one or mor…
A monomial that is a real number.
For any nonzero number a, a0 = 1. Any nonzero number raised t…
For any real number A is not equal to 0 and any integer n, a-…
Monomial
A number, a variable, or a product of a number and one or mor…
Constant
A monomial that is a real number.
19 terms
Algebra Geometry Honors 1 Chapter 7 Vocabulary
Common Solution
Consistent
Cramer's Rule
Demand
In a system of linear equations, a solution that is true for…
In a system of linear equations, a solution that is true for…
A formula for solving a system of two linear equations using…
How much of a product people want.
Common Solution
In a system of linear equations, a solution that is true for…
Consistent
In a system of linear equations, a solution that is true for…
21 terms
Algebra 2 Chapter 7
Asymptote
Exponential function
Exponential growth
Exponential equation
A horizontal or vertical line that the graph of a function ap…
A function like y=5ⁿ, where the base is a constant and the ex…
Function of the form f(x)=bⁿ where b>1
An equation that has variables that occur as exponents
Asymptote
A horizontal or vertical line that the graph of a function ap…
Exponential function
A function like y=5ⁿ, where the base is a constant and the ex…
37 terms
Algebra 2 Honors
polynomials
square a number
first difference
second difference
an expression of more than 2 algebraic terms.
...to multiply a number by itself or to raise it to the power…
Values obtained by subtracting each term in a sequence from i…
Differences that are found by subtracting consecutive first d…
polynomials
an expression of more than 2 algebraic terms.
square a number
...to multiply a number by itself or to raise it to the power…
26 terms
Chapter 7.2: Matrix Algebra
m x n matrix
element/ entry
row subscript
column subscript
...
...
...
...
m x n matrix
...
element/ entry
...
8 terms
Honors Algebra 2- Chapter 9
Sine of an angle
Cosine of an angle
Tangent of an angle
Cosecant of an angle
the ratio the length of the side opposite to the length of th…
the ratio of the length of the side adjacent to the length of…
the ratio of the length of the side opposite to the length of…
the ratio of the length of the hypotenuse to the length of th…
Sine of an angle
the ratio the length of the side opposite to the length of th…
Cosine of an angle
the ratio of the length of the side adjacent to the length of…
15 terms
Chapter 7 Algebra 2 vocab
cyclic
30-60-90 triangle
45-45 triangle
Pythagorean Identity
Occurring in cycles or regularly repeated.
For trigonometric functions, cos2x + sin2x = 1 for any value…
cyclic
Occurring in cycles or regularly repeated.
30-60-90 triangle
22 terms
Honors Algebra 2 Chapter 1
y=x²
-b/2a
Quadratic Function
Parabola
Parent function of quadratic functions
Equation to find vertex
A function that can be written in standard form
The graph of a quadratic function
y=x²
Parent function of quadratic functions
-b/2a
Equation to find vertex
10 terms
Chapter 7 Algebra 2
Exponential Growth Formula
Exponential Decay Formula
Compound Interest
Continuously Compound Interest
Addition Sign:
Subtraction Sign:
Exponential Growth Formula
Addition Sign:
Exponential Decay Formula
Subtraction Sign:
14 terms
Algebra 2 Chapter 7
Composite Function
Index
Inverse Functions
Inverse Relation
A combination of two functions.
Indicates the degree of the root.
if a function A pairs with a value B with A, then its inverse…
A relationship in which one variable decreases when another v…
Composite Function
A combination of two functions.
Index
Indicates the degree of the root.
Algebra 2 ~ Chapter 7
asymptote
Change of Base Formula
Continuously Compounded Interest
common logarithm
a straight line that is the limiting value of a curve or grap…
the formula to evaluate a logarithm with any base. [p. 464]
the formula for calculating interest over an annual rate. [p.…
a logarithm with base 10. [p. 453]
asymptote
a straight line that is the limiting value of a curve or grap…
Change of Base Formula
the formula to evaluate a logarithm with any base. [p. 464]
Honors algebra 2 test 7
Optimization
Linear programming
Objective function
Constraints
Finding a maximum or minimun value of some quantity
Process of optimizing a linear objective function subject to…
The linear function that is being optimized ... Ex: p=2x+3y
A system of linear inequalities
Optimization
Finding a maximum or minimun value of some quantity
Linear programming
Process of optimizing a linear objective function subject to…
Algebra 2 Chapter 7
Composition of functions
Degree of a polynomial
Depressed polynomial
End behavior
A function is performed, and then a second function is perfor…
The greatest exponent of the variable of the polynomial
The quotient when a polynomial is divided by one of its binom…
The behavior of a graph as X approaches positive infinity or…
Composition of functions
A function is performed, and then a second function is perfor…
Degree of a polynomial
The greatest exponent of the variable of the polynomial
Cumulative Vocab Honors Algebra 2
Absolute value
Axes
Base of a power
binomial
the distance from 0 on the number line
x & y axis intersecting at the origin (0,0)
the repeated factor of the power
a polynomial with 2 terms
Absolute value
the distance from 0 on the number line
Axes
x & y axis intersecting at the origin (0,0)
Algebra 2 Chapter 7
Composition of Functions
Degree of a Polynomial
Depressed Polynomial
End Behavior
The combination of functions. The second function is performe…
The greatest exponent of its variable.
When you divide a polynomial by one of its binomial factors,…
The behavior of the graph as x approaches positive infinity o…
Composition of Functions
The combination of functions. The second function is performe…
Degree of a Polynomial
The greatest exponent of its variable.
21 terms
Chapter 7 vocabulary Algebra
Asymptote
Change of base formula
Common logarithm
Compound interest
A line that a graph approaches
For all positive numbers a, b, and n, where a=/ 1 and b=/ 1,…
Logarithms that use 10 as the base
Interest paid on the principle of an investment and any previ…
Asymptote
A line that a graph approaches
Change of base formula
For all positive numbers a, b, and n, where a=/ 1 and b=/ 1,…
Chapter 1 Vocab Algebra 2 Honors
opposite of a number
algebraic expression
power
variable
the opposite or additive inverse of any number
an expression that consists of numbers, variables, operations…
an expression that represents repeated multipulcation of the…
a letter that is used to represent one or more numbers
opposite of a number
the opposite or additive inverse of any number
algebraic expression
an expression that consists of numbers, variables, operations…
37 terms
HONORS ALGEBRA 2: Chapter 5
A _ is an expression that is a number,…
Monomials can't contain:
_ are monomials that contain no variab…
The numerical factor of a monomial is…
monomial
1. addition or subtraction... 2. variables in denominators... 3. ex…
constants
coefficient
A _ is an expression that is a number,…
monomial
Monomials can't contain:
1. addition or subtraction... 2. variables in denominators... 3. ex…
29 terms
HONORS ALGEBRA 2: Chapter 2
Cartesian coordinate plane
Cartesian coordinate system
quadrants go (clockwise/counterclockwi…
relation
the part with all positive numbers
composed of the x-axis (horizontal) and the y-axis (vertical)
counterclockwise
set of ordered pairs
Cartesian coordinate plane
the part with all positive numbers
Cartesian coordinate system
composed of the x-axis (horizontal) and the y-axis (vertical)
7 terms
Algebra 1 - Chapter 7
compound interest
decay factor
exponential decay
exponential function
interest earned on both the principal amount and any interest…
1 minus the percent rate of change, expressed as a decimal, f…
an exponential function with a decay factor. [p. 485]
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned on both the principal amount and any interest…
decay factor
1 minus the percent rate of change, expressed as a decimal, f…
35 terms
Review Chapter: Honors Algebra 2
natural numbers
whole numbers
integers
rational numbers
(1, 2, 3, 4...)
(0, 1, 2, 3...)
(...-3, -2, -1, 0, 1, 2, 3...)
can be expressed as a quotient a/b of two integers
natural numbers
(1, 2, 3, 4...)
whole numbers
(0, 1, 2, 3...)
Algebra 2 Honors- Chapter 4
Addition Rule
Product Rule
Power Rule
Quotient Rule
different exponent: a^m+a^n=a^m+a^n... same exponent: ... a^m+a^m=2…
a^m*a^n=a^m+n
power of a power: (a^m)^n=a^m*n... power of multiplied bases:... (a…
If m>n: a^m/a^n= a^m-n... If m<n: a^m/a^n= 1/a^n-m
Addition Rule
different exponent: a^m+a^n=a^m+a^n... same exponent: ... a^m+a^m=2…
Product Rule
a^m*a^n=a^m+n
10 terms
LAP 7 Honors Algebra 2
What is the equation for direct variat…
What is the equation for indirect vari…
What is the equation for joint variati…
What is the equation for y varies inve…
y=ax
y=(a/x)
z=kxy
y=a/x²
What is the equation for direct variat…
y=ax
What is the equation for indirect vari…
y=(a/x)
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