Study sets matching "algebra ii honors"

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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…
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)
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…
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
6 terms
Algebra 2 Honors Trig
Sinθ
Cosθ
Tanθ
Cotθ
Y value
X value
Sinθ
Y value
Cosθ
X value
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
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…
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
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…
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 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)
12 terms
Algebra 2 Honors - Solving
±3
4
4±√15
0, -3, 6
=0
±3
4
39 terms
Algebra 2 Honors Exponents
2^2
2^3
2^4
2^5
4
8
16
32
2^2
4
2^3
8
Algebra 2 Honors Formulas
Distance Formula
Midpoint Formula
Slope
Point Slope Formula
d = √(X2-X1)^2 +(Y2-Y1)^2
(X1+X2)/2, (Y1+Y2)/2)
(Y2-Y1)/(X2-X1)
y-y1= m(x-x1)
Distance Formula
d = √(X2-X1)^2 +(Y2-Y1)^2
Midpoint Formula
(X1+X2)/2, (Y1+Y2)/2)
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
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…
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
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…
17 terms
Algebra 2 Honors FINAL
Arithmetic Explicit Formula
Arithmetic Recursive Formula
Arithmetic Sum Formula
Geometric Explicit Formula
Arithmetic Explicit Formula
Arithmetic Recursive Formula
100 terms
Honors Algebra 2
natural numbers
whole numbers
integers
real numbers
Numbers that are greater than 0
Numbers that are greater than or equal to 0
All whole numbers including negatives and positives
All rational and irrational numbers
natural numbers
Numbers that are greater than 0
whole numbers
Numbers that are greater than or equal to 0
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…
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
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…
28 terms
Honors algebra 2 quiz
Opposite
Additive inverse
Reciprocal
Multiplicative inverse
#'s with the opposite sign
#'s that add to get zero. They are opposites.
Flip it
Reciprocal
Opposite
#'s with the opposite sign
Additive inverse
#'s that add to get zero. They are opposites.
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…
15 terms
Honors Algebra 2 Review
Direct Variation Equation
What is the vertex of the equation a |…
Point-slope form
How do you find the line of best fit o…
y=kx... (k is not equal to zero, constant of the variation is k)
(h , k)
y - y1 = m (x - x1)... (when you have a point and a slope)
...
Direct Variation Equation
y=kx... (k is not equal to zero, constant of the variation is k)
What is the vertex of the equation a |…
(h , k)
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
54 terms
Honors Algebra 2 Exponents
1^1
1^2
1^3
1^4
1
1
1
1
1^1
1
1^2
1
14 terms
Algebra 2 Honors Formulas
y = mx + b
Ax+By=C
y-y1 = m(x-x1)
m = y2-y1/x2-x1
slope intercept form
standard form
point slope form
slope
y = mx + b
slope intercept form
Ax+By=C
standard form
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…
23 terms
Algebra 2 Honors Formulas & Definitions
distance formula
Pythagorean theorm
midpoint formula
equation of a circle
distance formula
Pythagorean theorm
Honors Algebra 2 Unit 8 - Rational Functions
Inverse Variation
Constant of Variation
Rational Function
Simplified Form of a Rational Expression
In an inverse variation, k is the constant of variation.
a rational expression in which the numerator and denominator…
Inverse Variation
Constant of Variation
In an inverse variation, k is the constant of variation.
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
Algebra 2 Honors midterm
What is the quadratic formula
What is the discriminant
know how to derive the quadratic formula
know how to simplify with imaginary nu…
b^2 - 4ac
...
...
What is the quadratic formula
What is the discriminant
b^2 - 4ac
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…
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
278 terms
Algebra 2 Honors Vocabulary
set
element/member
subset
real numbers
a collection of objects ; sometimes named with capital letters
each object in a set ; typically use braces {} to enclose them
a set that's a part of a larger set
consists of several subsets of numbers ; set of rational numb…
set
a collection of objects ; sometimes named with capital letters
element/member
each object in a set ; typically use braces {} to enclose them
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…
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…
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
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,..)
7 terms
Algebra 2 Honors Vocab
Open Sentences
Equation
Solution
Absolute Value
A mathematical sentence containing one or more variables
A mathematical sentence stating that two mathematical express…
Each replacement that results in a true sentence.
a numbers distance from 0 on the number line
Open Sentences
A mathematical sentence containing one or more variables
Equation
A mathematical sentence stating that two mathematical express…
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.
7 terms
Algebra 2 Honors Formulas
Explicit Arithmetic
Arithmetic Series
Recursive Arithmetic (MUST USE "given…
Geometric Series
Explicit Arithmetic
Arithmetic Series
110 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…
Algebra 2 honors - Vocab 2
One to One function
Onto function
Descrete relation
Continuous relation
A function where each element of the domain
Each element of the range corresponds with to an element of t…
A relation in which the domain is a set of individual points
A relation that can be graphed w/ a line or smooth curve
One to One function
A function where each element of the domain
Onto function
Each element of the range corresponds with to an element of t…
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…
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
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…
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