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Study sets matching "advanced algebra"

62 terms
Advanced Algebra
Natural numbers
Whole numbers
Integers
Rational numbers
The numbers used for counting: 1, 2, 3, 4
Natural numbers and zero (0, 1, 2, 3, 4)
Natural numbers (positive integers), zero, and negative integ…
All the numbers can be written as quotients as integers. Must…
Natural numbers
The numbers used for counting: 1, 2, 3, 4
Whole numbers
Natural numbers and zero (0, 1, 2, 3, 4)
15 terms
Chapter 4 Advanced Algebra
coefficient matrix
Cramer's Rule
determinant
dilation
matrix used with the coefficients of a system
method of solving systems using determinants
a number associated with a square matrix
a transformation that enlarges or reduces a figure
coefficient matrix
matrix used with the coefficients of a system
Cramer's Rule
method of solving systems using determinants
13 terms
Advanced Algebra - Set 1
real number
natural numbers
whole numbers
integers
All numbers on number line
positive numbers 1 2 3
non negative integers 0 1 2 3
-3 -2 -1 0 1 2 3
real number
All numbers on number line
natural numbers
positive numbers 1 2 3
9 terms
Advanced Algebra
SIN 30
SIN 60
SIN 45
COS 30
sin 1/2
sin
sin
cos
SIN 30
sin 1/2
SIN 60
sin
13 terms
Advanced Algebra
real number
natural numbers
whole numbers
integers
All numbers on number line
positive numbers 1 2 3
non negative integers 0 1 2 3
-3 -2 -1 0 1 2 3
real number
All numbers on number line
natural numbers
positive numbers 1 2 3
15 terms
Advanced Algebra Unit 1 Vocabulary
Completing the Square
Complex Conjugate
Complex Number
Expression
The process of adding a term to a quadratic expression of the…
Two complex numbers of the form a+bi and a-bi.
A number a+bi where a and b are real numbers and i is the ima…
A symbol or a combination of symbols representing a value, re…
Completing the Square
The process of adding a term to a quadratic expression of the…
Complex Conjugate
Two complex numbers of the form a+bi and a-bi.
15 terms
Advanced Algebra
Sin 0
Cos 0
tan 0
Sin 30
0
1
0
1/2
Sin 0
0
Cos 0
1
8 terms
Advanced Algebra
Domain
range
vertical line test
Natural numbers
x values or input values
y values or output values
if a vertical line passes through more than one point on a gr…
all numbers including 0
Domain
x values or input values
range
y values or output values
8 terms
Advanced Algebra Unit 3
Histogram
Interquartile Range
Qualitative Data
Quantitative Data
a graph that displays data form a frequency table
the difference between the first and third quartile
data that name qualities
data that measures quantity and can be described numerically
Histogram
a graph that displays data form a frequency table
Interquartile Range
the difference between the first and third quartile
9 terms
Advanced Algebra Unit 5
Monomials
Binomials
Trinomials
Polynomial
A real number, a variable, or a product of a real number and…
A polynomial of two terms
A polynomial of three terms
A monomial or the sum or difference of two or more monomials
Monomials
A real number, a variable, or a product of a real number and…
Binomials
A polynomial of two terms
15 terms
Advanced Algebra
Direct, inverse, and mixed
Arithmetic, harmonic, geometric
D= a2 minus a1
X = a+b over 2
Three kinds of variation
Three types of progressions
In arithmetic progression, how do you find the d? Hahaha
How do you find the arithmetic mean?
Direct, inverse, and mixed
Three kinds of variation
Arithmetic, harmonic, geometric
Three types of progressions
16 terms
Advanced Algebra Unit 2
Dependent Variable
Independent Variable
Function
Domain
a variable that provides the output values of a function
a variable that provides the input values of a function
a relation that assigns exactly one value in the range to eac…
the possible values for the input of a funtion
Dependent Variable
a variable that provides the output values of a function
Independent Variable
a variable that provides the input values of a function
8 terms
Advanced Algebra
A^m • A^n
A^m/A^n
(A/B)^m
(AB)^m
A^m+n
A^m-n
A^m/B^m
A^m•B^m
A^m • A^n
A^m+n
A^m/A^n
A^m-n
8 terms
Advanced Algebra
Variable
Expression
Algebraic Sentence
Equation
a letter that can replaced by a number(x)
connects variables and numbers( x,/,-,+)(x+2)
connect two expressions (<,>,less or greater than,=) (x+2=7)
A sentence that has an equal sign
Variable
a letter that can replaced by a number(x)
Expression
connects variables and numbers( x,/,-,+)(x+2)
17 terms
Advanced Algebra
Domain
Range
Recursive form
Imaginary number
input of the function
output of the function
Previous output to get the next answer
Square root of a negative
Domain
input of the function
Range
output of the function
9 terms
Advanced Algebra
Recursive formula
Quatratic equation
Discriminant
Function
A sub-1= A sub-n... A sub-n= A sub-n-1 plust difference
-b+or- the square root of b squared -4ac divided by 2a
b square- 4ac
f(x)
Recursive formula
A sub-1= A sub-n... A sub-n= A sub-n-1 plust difference
Quatratic equation
-b+or- the square root of b squared -4ac divided by 2a
12 terms
Advanced Algebra
Arithmetic Sequence
Arithmetic Series
Geometric Sequence
Finite Geometric Series
A(n)=A(1)+(n-1)D
S(n)=n/2(A(1)+A(n))
A(n)=A(1)xR^n-1
S(n)=A(1)((1-R^n)/(1-R))
Arithmetic Sequence
A(n)=A(1)+(n-1)D
Arithmetic Series
S(n)=n/2(A(1)+A(n))
10 terms
Advanced algebra
Expected value
Variance
Outlier
Population
The weighted average of the possible outcomes
Average of the squared differences from the mean
An extreme value that is much less than or much greater than…
The entire group of people or objects that you want imformati…
Expected value
The weighted average of the possible outcomes
Variance
Average of the squared differences from the mean
15 terms
Advanced algebra
Multiplication
Subtraction
Reflexive
Division
If a = b, then a x c = b x c
If a = b, then a - c = b - c
a = a
If a = b, then a / c = b / c
Multiplication
If a = b, then a x c = b x c
Subtraction
If a = b, then a - c = b - c
16 terms
advanced algebra
_______... -/ 56 - p = p
n-4 / n^2 - 2n - 15 + 1/ n62 - 2n -15…
5+10log(small) 9(x+10) = 45
what is a factor of 25x^3 + 5x^2 - 10x…
{7}
{6}
6551
5x+1
_______... -/ 56 - p = p
{7}
n-4 / n^2 - 2n - 15 + 1/ n62 - 2n -15…
{6}
27 terms
Advanced Algebra Midterm
Range
Domain
No solution
All real numbers
Distance between highest and lowest scores in a set of data,…
The set of input values of a function.
a number and a number equal each other but they actually don'…
Numbers are the same on each side of the equal sign
Range
Distance between highest and lowest scores in a set of data,…
Domain
The set of input values of a function.
11 terms
Advanced algebra
Addition of perfect cube
Difference of perfect cube
Looking for holes
Finding vertical asymptotes
A^3 + b^3= (a+b)(a^2 -ab +b^2)
A^3 - b^3= (a-b)(a^2 +ab+b^2)
After you have factored and simplified the rational function,…
Set the denominator equal to zero and solve for x
Addition of perfect cube
A^3 + b^3= (a+b)(a^2 -ab +b^2)
Difference of perfect cube
A^3 - b^3= (a-b)(a^2 +ab+b^2)
19 terms
Advanced Algebra Trig Unit
Angles
Initial Side
Terminal Side
θ (Theta)
Two rays connected by a common endpoint (vertex)
Positive x-axis. Does not move.
Moves to show angle position and size.
Letter than names an angle.
Angles
Two rays connected by a common endpoint (vertex)
Initial Side
Positive x-axis. Does not move.
20 terms
Algebra Advanced Summative 1 Vocab
Absolute Value
Like Terms
Coefficient
Open Sentence
The distance a number is from zero.
Terms with exactly the same variable(s) to the same power(s).
The number in front of the variable.
An equation that contains one of more variable(s).
Absolute Value
The distance a number is from zero.
Like Terms
Terms with exactly the same variable(s) to the same power(s).
29 terms
GSE Advanced Algebra, m1
Polynomial
Constant
Monomial
Binomial
The sum or difference of two or more monomials.
A term with degree 0: ie. a number alone, with no variable.
An algebraic expression that is a constant, a variable, or a…
The sum or difference of two monomials
Polynomial
The sum or difference of two or more monomials.
Constant
A term with degree 0: ie. a number alone, with no variable.
Advanced Algebra B All
Exponential and Logarithmic Functions
Which of the following describes the t…
What are the domain and range of f(x)…
Which statement best describes the dom…
Graphing Exponential Functions
shift 4 units left, reflect over the x-axis, shift 2 units do…
The domain is all real numbers. The range is all real numbers…
p(x) and q(x) have the same domain and the same range.
Exponential and Logarithmic Functions
Graphing Exponential Functions
Which of the following describes the t…
shift 4 units left, reflect over the x-axis, shift 2 units do…
28 terms
Algebra 2/Advanced Algebra 2 Formulas
Real numbers
Rational numbers
Irrational numbers
(u+v)3
All rational and irrational numbers. Can be represented on th…
Real numbers that can be written as the ratio of two integers.
Real numbers that cannot be written as the ratio of two integ…
U³+3U²V+3UV²+V³
Real numbers
All rational and irrational numbers. Can be represented on th…
Rational numbers
Real numbers that can be written as the ratio of two integers.
15 terms
Advanced Algebra - Matrices
identity matrix
reflection over y axis
reflection over x axis
reflection over y = x
1 0... 0 1
-1 0... 0 1
1 0... 0 -1
0 1... 1 0
identity matrix
1 0... 0 1
reflection over y axis
-1 0... 0 1
19 terms
Advanced Algebra 2
Real numbers
Rational numbers
Irrational numbers
(u+v)3
All rational and irrational numbers. Can be represented on th…
Real numbers that can be written as the ratio of two integers.
Real numbers that cannot be written as the ratio of two integ…
U³+3U²V+3UV²+V³
Real numbers
All rational and irrational numbers. Can be represented on th…
Rational numbers
Real numbers that can be written as the ratio of two integers.
10 terms
Advanced Algebra Unit 6
Pythagorean Theorem
Angle of Elevation
Angle of Depression
Sine
In any right angle, the sum of the squares of the lengths of…
An angle from the horizontal UP to the line of site.
An angle from the horizontal DOWN to the line of site.
For any given angle in a right triangle, a trigonometric func…
Pythagorean Theorem
In any right angle, the sum of the squares of the lengths of…
Angle of Elevation
An angle from the horizontal UP to the line of site.
13 terms
Advanced Algebra Ch. 6
Radical Function
Square Root Function
Inverse Functions
Index
A function that contains the root of a variable.
A function that contains a square root of a variable.
Two functions are inverse functions if and only if both of th…
The value of n by the radical sign indicates to what root the…
Radical Function
A function that contains the root of a variable.
Square Root Function
A function that contains a square root of a variable.
25 terms
Advanced Algebra Ch. 5
Simplify
Product of Powers
Quotient of Powers
Negative Exponent
To rewrite an expression without any parentheses or negative…
For any real number a=\ 0 and any integer n, a^-n = 1/a^n and…
Simplify
To rewrite an expression without any parentheses or negative…
Product of Powers
24 terms
Advanced Algebra Unit 2
Fraction meanings
Equations
Algebraic tests
Motion
numerator-range... denominator- domain
undefined means x doesn't change
solve be making equation f(-x)... f(x)-even or the same... -f(x)- o…
rest and change direction set equal to zero
Fraction meanings
numerator-range... denominator- domain
Equations
undefined means x doesn't change
20 terms
Algebraic Properties (TPS Advanced Algebra)
Closure property of Addition
Closure property of Multiplication
Commutative property of Addition
Commutative property of Multiplication
a + b is a real number
ab is a real number
a + b = b + a
ab = ba
Closure property of Addition
a + b is a real number
Closure property of Multiplication
ab is a real number
34 terms
advanced algebra (CHAPTER 10)
Sine
Cosine
Tangent
What does inverse trig find?
Opposite leg over Hypotnuse
Adjacent leg over Hypotenuse
Leg opposite over Hypotenuse
Angle meaures
Sine
Opposite leg over Hypotnuse
Cosine
Adjacent leg over Hypotenuse
8 terms
Advanced Algebra: Solving Polynomials
Zero of a polynomial
Root of a polynomial
Complex roots
Complex Conjugate
a number that, when plugged in for the variable, makes the fu…
a number that, when plugged in for the variable, makes the fu…
a root of a polynomial function that contains a complex number
each of two complex numbers having their real parts identical…
Zero of a polynomial
a number that, when plugged in for the variable, makes the fu…
Root of a polynomial
a number that, when plugged in for the variable, makes the fu…
40 terms
Vocab Quiz - Advanced Algebra 2
Absolute value
Composite function
Domain
Equation
The distance from zero; when simplifying inside of it, the va…
A combination of two functions such that the output from the…
The possible input values (typically the x-values)
A statement that two algebraic expressions are equal
Absolute value
The distance from zero; when simplifying inside of it, the va…
Composite function
A combination of two functions such that the output from the…
9 terms
Applications of Advanced Algebra
Scientific Notation
Factorial
Absolute Value
Undefined
3.2 × 10¹³... The first number must be 1 ≤ n < 10
5! = 5×4×3×2×1... 3! = 3×2×1... 1! = 1... FYI: 0! = 1
|5| = 5... |-5| = 5... Represents Distance
6 ÷ (7 - x) is undefined when x = 7 since the denominator = 0…
Scientific Notation
3.2 × 10¹³... The first number must be 1 ≤ n < 10
Factorial
5! = 5×4×3×2×1... 3! = 3×2×1... 1! = 1... FYI: 0! = 1
11 terms
Advanced Algebra: Trigonometric Concepts
Radian
Degree
Unit circle
Coterminal angles
a unit of angle, equal to an angle at the center of a circle…
a unit of measurement of angles, one three-hundred-and-sixtie…
the circle of radius one centered at the origin (0, 0) in the…
angles which, drawn in standard position, share a terminal side
Radian
a unit of angle, equal to an angle at the center of a circle…
Degree
a unit of measurement of angles, one three-hundred-and-sixtie…
10 terms
Advanced Algebra: Exponentials & Logarithms
Exponential expression
Exponential equations
Logarithmic expression
Logarithmic equation
a mathematical expression consisting of a constant raised to…
an equation involving exponential functions of a variable
the power to which a base, such as 10, must be raised to prod…
an equation involving logarithmic functions of a variable
Exponential expression
a mathematical expression consisting of a constant raised to…
Exponential equations
an equation involving exponential functions of a variable
25 terms
Advanced Algebra #1
Mean
Median
Mode
Mean Formula
Average
The middle value
Values that occurs the most often
Sum of Values in data set divided by the number of data's in…
Mean
Average
Median
The middle value
7 terms
Advanced Algebra: Quadratics
Factor
Factor of a polynomial (P(x))
Perfect square
Perfect cube
a number or quantity that when multiplied with another produc…
any polynomial which divides evenly into P(x)
the product of a rational number multiplied by itself
the product of a rational number multiplied by itself three t…
Factor
a number or quantity that when multiplied with another produc…
Factor of a polynomial (P(x))
any polynomial which divides evenly into P(x)
10 terms
Advanced Algebra: Radicals & Complex Numbers
Domain
Range
Extraneous Solution
Radical expression
the set of values of the independent variable(s) for which a…
the set of y-values (or output values) of a function or relat…
a solution of the simplified form of the equation that does n…
any expression containing a radical
Domain
the set of values of the independent variable(s) for which a…
Range
the set of y-values (or output values) of a function or relat…
15 terms
Advanced Algebra 10 polynomials
polynomial
end behavior
like terms
factored completely
monomial or sum of monomials
The behavior of the graph as x approaches positive infinity o…
Expressions that contain the same variables to the same power
A polynomial is factored completely when it is expressed as t…
polynomial
monomial or sum of monomials
end behavior
The behavior of the graph as x approaches positive infinity o…
53 terms
Honors Advanced Algebra
Polynomial
Roots
Binomial Expression
Imaginary number
a mathematical expression involving a sum of non-negative int…
...
...
...
Polynomial
a mathematical expression involving a sum of non-negative int…
Roots
...
10 terms
Sorozak Advanced Algebra Chapter 11
One to One Functions
Inverse Functions
Horizontal Line Test
Exponential Function
functions where each x has exactly one y and each y has exact…
found by interchanging x and y in the equation or by intercha…
way to check if a graph is one to one
f(x)=aⁿ for a>0 and a≠1
One to One Functions
functions where each x has exactly one y and each y has exact…
Inverse Functions
found by interchanging x and y in the equation or by intercha…
28 terms
Algebra 2/Advanced Algebra 2 Formulas
Real numbers
Rational numbers
Irrational numbers
(u+v)3
All rational and irrational numbers. Can be represented on th…
Real numbers that can be written as the ratio of two integers.
Real numbers that cannot be written as the ratio of two integ…
U³+3U²V+3UV²+V³
Real numbers
All rational and irrational numbers. Can be represented on th…
Rational numbers
Real numbers that can be written as the ratio of two integers.
10 terms
Advanced Algebra: Polynomial & Function Operations
Coefficient
Degree
Binomial
Trinomial
a number multiplied by a variable
the greatest exponent of its variable
an algebraic expression of the sum or the difference of two t…
an algebraic expression of the sum or the difference of three…
Coefficient
a number multiplied by a variable
Degree
the greatest exponent of its variable
29 terms
Advanced Algebra 1
Additive idenity propery
Associative property of addition
Associative property of multiplication
Communitive property of addition
a+0=a
(a+b)+c=a+(b+c)
(ab)c=a(bc)
a+b=b+a
Additive idenity propery
a+0=a
Associative property of addition
(a+b)+c=a+(b+c)
28 terms
Advanced Algebra Chapter P/Compass
Fractional exponents
The 0 power
Negative exponents
Simplifying exponents
make a radical... denominator goes on outside of radical... all in…
anything to the zero power is 1
cant be on the numerator
separate each and combine like terms... exponents multiply with…
Fractional exponents
make a radical... denominator goes on outside of radical... all in…
The 0 power
anything to the zero power is 1
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