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Study sets matching "algebra ii honors"

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…
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…
Honors Algebra 2
1
2
3
4
1
4
9
16
1
1
2
4
22 terms
honors algebra 2
rational functions
logarithmic functions
exponential functions (inverse of loga…
rational functions: finding horizontal…
m>n - no H.A.... m<n - y=0... m=n - y=a/b... m=n+1 - long division
rational functions
logarithmic functions
30 terms
Honors Algebra 2 Vocab
Absolute Value
Algebraic Expression
Boundary line
Domain
The distance a number is from zero on a number line
Consists of numerals, variables and other mathematical symbols
A line (dashed or solid) that indicates whether the points on…
The set of all possible input values for a relation or function
Absolute Value
The distance a number is from zero on a number line
Algebraic Expression
Consists of numerals, variables and other mathematical symbols
47 terms
Algebra 2 honors FSA EOC
Standard Deviation
Logarithm Solution
Standard form
Vertex Form
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
Ax^2+Bx+C=0
Y=(x-h)^2+k (h,k)... (h, k) is the vertex
Standard Deviation
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
Logarithm Solution
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
102 terms
Honors Algebra 2 FINAL
Direct Variation
Inverse Variation
k =
z varies jointly with x and y
y = kx... k = y/x
y = k/x... x= k/y... k = xy
constant of variation
z = kxy
Direct Variation
y = kx... k = y/x
Inverse Variation
y = k/x... x= k/y... k = xy
17 terms
Algebra 2 Honors FINAL
Arithmetic Explicit Formula
Arithmetic Recursive Formula
Arithmetic Sum Formula
Geometric Explicit Formula
Arithmetic Explicit Formula
Arithmetic Recursive Formula
112 terms
Algebra 2 honors final
linear equation
solving a linear equation
clearing fractions
linear absolute value equation
a variables have a degree of 1
To solve an equation, do whatever is necessary to both sides…
multiply each side by the LCM
|ax+b|=c
linear equation
a variables have a degree of 1
solving a linear equation
To solve an equation, do whatever is necessary to both sides…
71 terms
Honors Algebra 2
Real Numbers
Rational Numbers
Integers
Whole Numbers
The numbers we use (non-imaginary)
Any number that can be expressed as a ration a/b, where a and…
The set of numbers we would use on a number line (negatives a…
The set of all positive integers including zero... -----> 0,1,2...
Real Numbers
The numbers we use (non-imaginary)
Rational Numbers
Any number that can be expressed as a ration a/b, where a and…
42 terms
Honors Algebra 2 Final Exam
Natural
whole
integer
rational
positive integer (1, 2, 3...)
positive integers and 0 (0, 1, 2, 3,..)
positive whole numbers, negative whole numbers, and zero (-2,…
p/q where p and q are integers and q is not 0
Natural
positive integer (1, 2, 3...)
whole
positive integers and 0 (0, 1, 2, 3,..)
12 terms
Honors Algebra Ch. 2
commutative property of addition
associative property of addition
identity property of addition
inverse property of addition
the order you add numbers together does not change the sum
the way you group numbers does not change the sum
the sum of a number and zero is the number
the sum of a a number and it's opposite is zero
commutative property of addition
the order you add numbers together does not change the sum
associative property of addition
the way you group numbers does not change the sum
Honors Algebra 2
1
2
3
4
1
8
27
64
1
1
2
8
93 terms
Algebra 2 Trig Honors
function
Domain
Range
increasing interval
1. A relationship from one set (called the domain) to another…
The set of input values of a function. Also the independent v…
The set of output values of a function. Also the dependent va…
where the graph has a positive slope (x,y)
function
1. A relationship from one set (called the domain) to another…
Domain
The set of input values of a function. Also the independent v…
18 terms
Review (Honors Algebra 2)
Equation of a circle
The Focus-Directrix form of the equati…
The Focus-Directrix form of the equati…
Standard Equations of Ellipses (Horizo…
(h.k)=center... radius=r
y = a(x - h)^2+k... Direction of opening: a>0: up a<0: down... Vert…
x= a(y-k)^2+h... Direction of opening: a>0: right a<0: let... Verte…
Center: (h,k)... Length of major axis: 2a... Length of minor axis: 2b
Equation of a circle
(h.k)=center... radius=r
The Focus-Directrix form of the equati…
y = a(x - h)^2+k... Direction of opening: a>0: up a<0: down... Vert…
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…
19 terms
Vocab for Honors Algebra 2
Absolute value of a complex number
Axis of symmetry
Completing the square
Complex Number
Distance from the origin on the complex number plane
The line that divides a parabola into parts that are mirror i…
The process of finding the last term of the perfect square tr…
Imaginary numbers and real numbers together
Absolute value of a complex number
Distance from the origin on the complex number plane
Axis of symmetry
The line that divides a parabola into parts that are mirror i…
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…
39 terms
Algebra 2 Honors Exponents
2^2
2^3
2^4
2^5
4
8
16
32
2^2
4
2^3
8
23 terms
Honors Algebra 2 Vocab
Bounded
Break-Even Point
Coefficient Matrix
Cramer's Rule
Graph of a system of constraints is a polygonal region
Point at which the income and cost is equal
Matrix that only contains coefficients of a system of equations
Method that uses determinants to solve to solve a system of l…
Bounded
Graph of a system of constraints is a polygonal region
Break-Even Point
Point at which the income and cost is equal
12 terms
Honors Algebra 2 Properties
commutative addition
associative addition
commutative multiplication
associative multiplication
3+4=4+3
4(3+1)=1(4+3)
4x3=3x4
2(3x4)=(2x3)4
commutative addition
3+4=4+3
associative addition
4(3+1)=1(4+3)
8 terms
Algebra 2 Honors Properties
commutative addition/multiplication
associative addition/multiplication
identity addition/multiplication
inverse addition/multiplication
a+b=b+a... ab=ba
(a+b)+c=a+(b+c)... (ab)c=a(bc)
a+0=a, 0+a=a... 1xa=a, ax1=a
a+(-a)=0... ax1/a=1
commutative addition/multiplication
a+b=b+a... ab=ba
associative addition/multiplication
(a+b)+c=a+(b+c)... (ab)c=a(bc)
8 terms
Honors Algebra 2 Theorems
Complex Conjugate Theorem
Irrational Root Theorem
Fundamental Theorem of Algebra
Intermediate Value Theorem
if the imaginary number a+bi is a root of a polynomial equati…
let a and b be rational numbers and let the square root of b…
If P(x) is a polynomial of degree n(greater than or equal to)…
let f be a polynomial function with real coefficients, if f(a…
Complex Conjugate Theorem
if the imaginary number a+bi is a root of a polynomial equati…
Irrational Root Theorem
let a and b be rational numbers and let the square root of b…
23 terms
Algebra 2 Honors Formulas & Definitions
distance formula
Pythagorean theorm
midpoint formula
equation of a circle
distance formula
Pythagorean theorm
85 terms
Honors Algebra 2 Midterm Review
Real Numbers
Imaginary Numbers
Rational Numbers
Irrational Numbers
Have points on the number line
Do NOT have points on the number line
Can be expressed in a ratio or two integers
Can't be expressed in a ratio or two integers
Real Numbers
Have points on the number line
Imaginary Numbers
Do NOT have points on the number line
9 terms
Algebra 2 Honors Vocab
radian
amplitude
frequency
period
a unit used to measure angles
The amplitude is the distance from the midline to the minimum…
the number of complete cycles in a basic period
the distance of a single cycle
radian
a unit used to measure angles
amplitude
The amplitude is the distance from the midline to the minimum…
20 terms
Honors Algebra 2 Test
cscθ=
secθ=
cotθ=
tanθ=
1/sinθ
1/cosθ
1/tanθ
sinθ/cosθ
cscθ=
1/sinθ
secθ=
1/cosθ
54 terms
Honors Algebra 2 Exponents
1^1
1^2
1^3
1^4
1
1
1
1
1^1
1
1^2
1
25 terms
Algebra 2 Honors
Additive Inverse
Multiplicative Inverse
Commutative Property of addition
Commutative Property of multiplication
Opposite
Reciprocoal
a+b=b+a
ab=ba
Additive Inverse
Opposite
Multiplicative Inverse
Reciprocoal
8 terms
Algebra 2 Honors-Parent Functions
Constant y=a
Linear y=x
Absolute Value y=|x|
Quadratic y=x^2
Constant y=a
Linear y=x
27 terms
Algebra 2 Honors Midterm
slope-intercept form
point-slope form
general form
undefined slope
y=mx+b
y-y1=m(x-x1)
ax+by=c
slope is vertical
slope-intercept form
y=mx+b
point-slope form
y-y1=m(x-x1)
39 terms
Honors Algebra 2 Unit 2 - Linear Equations and Functions
Relation
Domain
Range
Function
A mapping or pairing of input values with output values.
The set of input values.
The set of output values.
A relation for which each input has exactly one output.
Relation
A mapping or pairing of input values with output values.
Domain
The set of input values.
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
18 terms
Algebra 2 Honors
answer to roster notation
definition of finite set
definition of infinite set
on a graph you cannot connect the dots…
none
definite number of elements
infinite number of elements
real numbers
answer to roster notation
none
definition of finite set
definite number of elements
22 terms
Honors Algebra 2
vertical stretch
vertical shrink
if a is negative
if a>1 or a<-1
number greater than 1 and stretches away from x-axis
number less than 1 and shrinks towards x-axis
graph is reflected
vertical stretch
vertical stretch
number greater than 1 and stretches away from x-axis
vertical shrink
number less than 1 and shrinks towards x-axis
32 terms
Honors Algebra 2 Final
Leading coefficient
Polynomial
Monomial
Degree of a polynomial
The coefficient of the first term of a polynomial in standard…
A monomial or a sum or difference of monomials
A number or product of numbers and variables with whole numbe…
The degree of the term of the polynomial with the greatest va…
Leading coefficient
The coefficient of the first term of a polynomial in standard…
Polynomial
A monomial or a sum or difference of monomials
24 terms
Algebra 2 {Honors} : Weller
√(b^2-4ac) > 0... a perfect square
√(b^2-4ac) > 0... but not a perfect square
√(b^2-4ac) < 0... (negative)
√(b^2-4ac) = 0
2 real rational roots
2 real but irrational roots
2 imaginary/complex roots
1 real rational double root
√(b^2-4ac) > 0... a perfect square
2 real rational roots
√(b^2-4ac) > 0... but not a perfect square
2 real but irrational roots
8 terms
Honors Algebra 2: Chapter 1 Vocabulary
Chapter 1 (p. 6, 1-1)... ELEMENT
Chapter 1 (p. 45, 1-6)... FUNCTION
Chapter 1 (p. 67, 1-9)... PARENT FUNCT…
Chapter 1 (p. 21, 1-3)... RADICAL SYMBOL
Chapter 1 (p. 6, 1-1)... ELEMENT
Chapter 1 (p. 45, 1-6)... FUNCTION
47 terms
Algebra 2 honors FSA EOC
Standard Deviation
Logarithm Solution
Standard form
Vertex Form
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
Ax^2+Bx+C=0
Y=(x-h)^2+k (h,k)... (h, k) is the vertex
Standard Deviation
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
Logarithm Solution
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
35 terms
Honors Algebra 2 LAP 9
What are the 6 trigonometric functions?
Find the 6 trigonometric functions for…
Find the 6 trigonometric functions for…
Find the 6 trigonometric functions for…
Sin... Cosine... Tangent... Cosecant... Secant ... Cotangent
(1/2), (√(3)/2), (1/√(3)), 2, (2/√(3)), √(3)
(1/√(2)), (1/√(2)), 1, √(2), √(2), 1
(√(3)/2), (1/2), √(3), (2/√(3)), 2, (1/√(3))
What are the 6 trigonometric functions?
Sin... Cosine... Tangent... Cosecant... Secant ... Cotangent
Find the 6 trigonometric functions for…
(1/2), (√(3)/2), (1/√(3)), 2, (2/√(3)), √(3)
47 terms
Honors Algebra 2 Final Exam
Natural
whole
integer
rational
positive integer (1, 2, 3...)
positive integers and 0 (0, 1, 2, 3,..)
positive whole numbers, negative whole numbers, and zero (-2,…
p/q where p and q are integers and q is not 0
Natural
positive integer (1, 2, 3...)
whole
positive integers and 0 (0, 1, 2, 3,..)
Algebra 2 honors FSA EOC
Standard Deviation
Logarithm Solution
Standard form
Vertex Form
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
Ax^2+Bx+C=0
Y=(x-h)^2+k (h,k)... (h, k) is the vertex
Standard Deviation
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
Logarithm Solution
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
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)
4 terms
Algebra 2 honors graph
odd/+
odd/-
even/+
even/-
start down end up
start up end down
both end up
both end down
odd/+
start down end up
odd/-
start up end down
8 terms
Honors Algebra 2 Formulas
Arithmetic Recursive
Arithmetic Explicit
Geometric Recursive
Geometric Explicit
An=An-1+d
An=A1+d(n-1)
An=An-1(r)
An=A1(r)^n-1
Arithmetic Recursive
An=An-1+d
Arithmetic Explicit
An=A1+d(n-1)
11 terms
Algebra 2 Honors
Closure property of addition
Closure property of multiplication
Commutative property of addition
Commutative property of multiplication
a+b is a real #
ab is a real #
a+b=b+a
ab=ba
Closure property of addition
a+b is a real #
Closure property of multiplication
ab is a real #
9 terms
Algebra 2 honors
Function
Piecewise function
Compound inequalities
Linear equation
One X gets you one and only one y
2or more equations that have different domains
2 or more in equalities joined by and or or.
Equation where the highest power is one
Function
One X gets you one and only one y
Piecewise function
2or more equations that have different domains
21 terms
algebra 2 honors definitions
algebra
counting numbers
whole numbers
integers
a systematic study of numbers and their relationship. It uses…
numbers that are positive. There are no zeros, no fractions,…
counting numbers including zero
numbers that are positive, negative, or zero. It does not inc…
algebra
a systematic study of numbers and their relationship. It uses…
counting numbers
numbers that are positive. There are no zeros, no fractions,…
9 terms
Algebra 2 Honors
Horizontal Translation
Vertical Translation
Reflection
Vertical Stretch
a. (x-h or x+h)... b. IN parenthesis... c. GO the opposite directio…
a. x+k or x-k... b. NO parenthesis... c. Go direction shown... d. Up/d…
a) Y-axis: x-value changes... a. f(-x)... b) X-axis: y-value chang…
a) Multiply x by: coefficient > 1
Horizontal Translation
a. (x-h or x+h)... b. IN parenthesis... c. GO the opposite directio…
Vertical Translation
a. x+k or x-k... b. NO parenthesis... c. Go direction shown... d. Up/d…
16 terms
Honors Algebra 2 Terms
Absolute Value
Extraneous Solutions
Relation
Domain
the distance a number is away from zero
Not true
a set of input values and output values (ordered pairs)
Inputs, x-coordinates, independent value
Absolute Value
the distance a number is away from zero
Extraneous Solutions
Not true
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