Study sets matching "college algebra"

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Study sets matching "college algebra"

College Algebra
Vertex Form
Vertex
Axis of Symmetry
Domain
F(x)= a(x-h)2+k
(H,K)
X=h
(-infinity, infinity) x-value
Vertex Form
F(x)= a(x-h)2+k
Vertex
(H,K)
16 terms
College Algebra
Set
Element
Natural numbers/counting numbers
Whole numbers
Related or unrelated Collection of objects
Individual item belonging to a set
(1,2,3,4...)
(0,1,2.3,4...)
Set
Related or unrelated Collection of objects
Element
Individual item belonging to a set
College Algebra
algebra
terminology
acute triangle
the opposite of a number
math concept
acute angle
additive inverse
negative
algebra
math concept
terminology
acute angle
17 terms
College Algebra
Sin(90°-X)
Tan(90°-X)
Sec(90°-X)
Cos(90°-X)
CosX
CotX
CscX
SinX
Sin(90°-X)
CosX
Tan(90°-X)
CotX
College algebra
Domain
Range
Composition
Piece-wise Functions
The domain of a relationship is the set of all it's first cor…
The range of a relationship is the set of all it's second cor…
The composition of two functiona f and g written as FoG
Something "IF" condition met... ... Something else "IF" other cond…
Domain
The domain of a relationship is the set of all it's first cor…
Range
The range of a relationship is the set of all it's second cor…
college algebra
b^2-4ac
b^2-4ac
b^2-4ac
Factoring
less than 0 distinct roots
= 0 is real and equal roots
less than complex roots
GCF, -1, ac-method
b^2-4ac
less than 0 distinct roots
b^2-4ac
= 0 is real and equal roots
College Algebra
Absolute value
Area
Perimeter
Variable
The distance a number is from zero
measures space inside a figure
Distance around a figure
A letter that resembles a number
Absolute value
The distance a number is from zero
Area
measures space inside a figure
24 terms
College Algebra
Closure
Commutative sum
Commutative times
Associative sum
Take any 2 elements of a set. Perform a binary operation on t…
a+b=b+a
ab=ba
a+(b+c)=(a+b)+c
Closure
Take any 2 elements of a set. Perform a binary operation on t…
Commutative sum
a+b=b+a
College Algebra
Expression
Linear Expression
Equation
Linear Equation
Any combo of numbers, variables, and mathematical operations
An expression in which the only operations involving variable…
A mathematical statementtbat two expressions are equal
An equation containing only linear expressions
Expression
Any combo of numbers, variables, and mathematical operations
Linear Expression
An expression in which the only operations involving variable…
College Algebra
a function is increasing if the graph…
a function is decreasing if the graph…
if the function values stay the same f…
To determine the domain of a​ function…
...
...
...
...
a function is increasing if the graph…
...
a function is decreasing if the graph…
...
College Algebra Final
Compounding Interest
Distance Between Two Points
Slope Intercept
Point Slope
A = the amount... P = initial amount invested... R = rate... n = numbe…
Compounding Interest
A = the amount... P = initial amount invested... R = rate... n = numbe…
Distance Between Two Points
22 terms
College Algebra
the sum/product of 2 real numbers=real…
we may group addition or multiplicatio…
we may multiply or add numbers in any…
you can add 0 to any number
Closure
Associative
Commutative
Additive identity
the sum/product of 2 real numbers=real…
Closure
we may group addition or multiplicatio…
Associative
7 terms
COLLEGE ALGEBRA
Slope-Intercept Form
Point-Slope Form
X-coordinate of vertex
Axis of symmetry
Y=mx+b
Y-y1=m(x-X1)
-b/2a
-b/2a or (h,k)
Slope-Intercept Form
Y=mx+b
Point-Slope Form
Y-y1=m(x-X1)
College Algebra
Identity Function ... y=x
Squaring Function ... y=x^2
Cubing Function ... y=x^3
Square Root Function... y=-/x
y=x ... Domain: (-Infinity, +infinity)... Range: (-Infinity, +infin…
y=x^2... Domain: (-Infinity, +infinity)... Range: [0, +infinity)... x:…
y=x^3... Domain: (-Infinity, +infinity)... Range: (-infinity, +infi…
y=-/x... Domain: [0, +infinity)... Range: [0, +infinity) ... x: 0, 1,…
Identity Function ... y=x
y=x ... Domain: (-Infinity, +infinity)... Range: (-Infinity, +infin…
Squaring Function ... y=x^2
y=x^2... Domain: (-Infinity, +infinity)... Range: [0, +infinity)... x:…
College Algebra
Closure
R
Comm+
Comm x
Take any 2 elements of a set. Perform binary operation on the…
The set of real numbers
a+b=b+a
ab=ba
Closure
Take any 2 elements of a set. Perform binary operation on the…
R
The set of real numbers
College Algebra
Nth term
Series(sum)
Arithmetic
Geometric
An=a,+(n-1)d
Sn=n/2(a,+An)
Nth term, d, series(sum)
An=a,r^n-1
Nth term
An=a,+(n-1)d
Series(sum)
Sn=n/2(a,+An)
25 terms
College Algebra
A set
Elements or members
set braces
A collection of objects
The objects that belong to a set; In algebra they are usually…
Means a number is an element of a set (4∈{1,2,3,4})
{a,b,c} set braces are used to show a set
A set
A collection of objects
Elements or members
The objects that belong to a set; In algebra they are usually…
College Algebra
set
elements... members
set brace
infinite set
collection of objects
items in a set
" { } " ; used to denote a set; members of the set go inside…
a set that has a never ending list of distinct elements
set
collection of objects
elements... members
items in a set
College algebra
Monomial
Binomial
Trinomial
Polynomial
One term 3xy, 5
Two terms 3a+4
Three terms 2xy+5xy-3y
Many terms 6y-4y+3x-4x
Monomial
One term 3xy, 5
Binomial
Two terms 3a+4
18 terms
College algebra
or
and
slope intercept
find new slope
union
intersection
y=mx+b
y-y1=m(x-x1)
or
union
and
intersection
College algebra
Variable
Expression
Equation
Algebraic
A letter which represents or stands for a value
A combination of variables, numbers and operators
Two expressions joined by an equal sign
An expression that does not contain words
Variable
A letter which represents or stands for a value
Expression
A combination of variables, numbers and operators
College Algebra
Graph parabola. Give vertex, axis, dom…
Graph parabola. Give vertex, axis, dom…
Regular synthetic division ... Ex. 2r^3+1…
value K involved ... a polynomial form ... 1…
v=part within squared (x+3) or (x) is the X value, the rest i…
v=-b/2a=x value ... then plug that into the equation to receive…
regular division with -3 on outside ... remainder with r+3 on bo…
(x-3)(12x+16)+51... Synthetic division ... K value ... remainder at th…
Graph parabola. Give vertex, axis, dom…
v=part within squared (x+3) or (x) is the X value, the rest i…
Graph parabola. Give vertex, axis, dom…
v=-b/2a=x value ... then plug that into the equation to receive…
College Algebra
Square Root Property
Completing the Square
Discriminant
Negative
take the square roots of both sides
1. coefficient = 1... 2. move number to the other side ... 3. compl…
b^2 - 4ac
two complex roots
Square Root Property
take the square roots of both sides
Completing the Square
1. coefficient = 1... 2. move number to the other side ... 3. compl…
12 terms
College Algebra
Rectangle Perimeter
Rectangular Volume
Parallelogram Area
Circle Circumfrence
P=2l+2w
V=lwh
A=bh
C=2(pie)r
Rectangle Perimeter
P=2l+2w
Rectangular Volume
V=lwh
14 terms
College Algebra
Slope
Slope intercept
Point slope
Quadratic
change in y/ change in x
y=mx+b
y-y1=m(x+x1)
x= -b plus or minus the square root of bsqaured minus 4ac all…
Slope
change in y/ change in x
Slope intercept
y=mx+b
College algebra
Natural/ counting #
Whole number
Integers
Rational #
Start at 1 and goes up ( whole number )
Include 0 ( still no negative )
Include negatives...no fractions/ decimals
Can be converted into a fraction
Natural/ counting #
Start at 1 and goes up ( whole number )
Whole number
Include 0 ( still no negative )
college algebra
b^2-4ac
b^2-4ac
b^2-4ac
Factoring
less than 0 distinct roots
= 0 is real and equal roots
less than complex roots
GCF, -1, ac-method
b^2-4ac
less than 0 distinct roots
b^2-4ac
= 0 is real and equal roots
9 terms
College algebra
Rational and irrational
Integer, fractions, and decimals
Positive and negative
Proper, improper, and mixed
What are the two categories under real numbers?
What are the three categories under rational numbers?
Two types of integers
Three types of fractions
Rational and irrational
What are the two categories under real numbers?
Integer, fractions, and decimals
What are the three categories under rational numbers?
College algebra
ratio of opposite to hypotenuse
ratio of adjacent to hypotenuse
ratio of opposite to adjacent
reciprocal of the cosine of an angle
sine
cosine
tangent
secant
ratio of opposite to hypotenuse
sine
ratio of adjacent to hypotenuse
cosine
28 terms
College Algebra
Natural numbers
Whole numbers
Integers
Ratios of integers
1,2,3,4,5... ... Denoted by N
0,1,2,3,4,5...
Negative and positive numbers ... Denoted by Z
p/q... Either terminate or repeat a pattern of digits... Denoted by Q
Natural numbers
1,2,3,4,5... ... Denoted by N
Whole numbers
0,1,2,3,4,5...
College algebra
Foil
Imaginary unit
Vertical line test
Coefficient
Method for multiplying 2 binomials (first,outer,inner,last)
The number i when i equals the square root of -1
Visual test to determine if a graph is a function
Number preceding variable
Foil
Method for multiplying 2 binomials (first,outer,inner,last)
Imaginary unit
The number i when i equals the square root of -1
240 terms
COLLEGE ALGEBRA
Information age
Induction
Mentoring
No Child Left Behind Act
The current age in which information and its management are c…
Years one to three of full time teaching.
An experienced professional helping a less experienced collea…
A federal law passed in 2001 that sets goals for achievement…
Information age
The current age in which information and its management are c…
Induction
Years one to three of full time teaching.
11 terms
College Algebra
Quadratic Formula
Position of Falling Objects
Distance
Midpoint
-b+-sqrt(b2-4ac)/2a
S= -16t+Vot+So
D=sqrt(y2-y1)+(x2-x1)
(x1+x2/2, y1+y2/2)
Quadratic Formula
-b+-sqrt(b2-4ac)/2a
Position of Falling Objects
S= -16t+Vot+So
9 terms
College Algebra
Set Notation
N={1,2,3,4,5,6,...}
W={1,2,3,4,5,6,...}
Z+={1,2,3,4,5,6,...}
Set is a well-defined as collection of numbers in objects
set of NATURAL numbers
set if WHOLE numbers
set of positive integers
Set Notation
Set is a well-defined as collection of numbers in objects
N={1,2,3,4,5,6,...}
set of NATURAL numbers
6 terms
College Algebra
Q
R
Z
W
Rational Number
Real Number
Integer
Whole Number
Q
Rational Number
R
Real Number
18 terms
College Algebra Chapter 6
Annual percentage rate (APR)
Carrying capacity
Change-of-base formula
Common logarithm
the yearly interest rate earned by an investment account, als…
in a logistic model, the limiting value of the output
a formula for converting a logarithm with any base to a quoti…
the exponent to which 10 must be raised to get x; log10 (x) i…
Annual percentage rate (APR)
the yearly interest rate earned by an investment account, als…
Carrying capacity
in a logistic model, the limiting value of the output
5 terms
Verity College Algebra 4c
What is the equation and graph for a l…
What is the equation and graph for x s…
What is the equation and graph for x c…
What is the equation and graph for squ…
y=mx+b
x^2
What is the equation and graph for a l…
y=mx+b
What is the equation and graph for x s…
x^2
11 terms
Verity College Algebra 3b
What are Imaginary units?
What is a Complex conjugate?
What is an Arithmetic sequence?
How do you represent the sum of arithm…
What are Imaginary units?
What is a Complex conjugate?
9 terms
Verity College Algebra 4b
What is an absolute value?
What is the quadratic formula?
What is the discriminant used to deter…
What is a logarithm equal to?
│a│ = a, where a ≥ 0 or -a where a < 0
What is an absolute value?
│a│ = a, where a ≥ 0 or -a where a < 0
What is the quadratic formula?
College Algebra
Multiple transformations steps:
Equations for multiple graph transform…
Discriminant
Equation for slope
1. shift left by d... 2. scale horizontally by 1/c... 3. if γ = -…
f(x)= (betafish)af (γcx + d) + b
b²- 4ac
y=mx+b
Multiple transformations steps:
1. shift left by d... 2. scale horizontally by 1/c... 3. if γ = -…
Equations for multiple graph transform…
f(x)= (betafish)af (γcx + d) + b
8 terms
Verity College Algebra 4a
What is absolute value?
How many equations will be developed f…
If you divide an inequality equation b…
How many ways are there to solve a sys…
Distance from zero of a number.
Two
Flip the inequality
Three graphing, substitution and elimination. In a CLEP exam,…
What is absolute value?
Distance from zero of a number.
How many equations will be developed f…
Two
12 terms
Verity College Algebra 3a
What are natural numbers?
What are whole numbers?
What are integers?
What are rational numbers?
A number from the set {1, 2, 3, ...}
A number from the set {0, 1, 2, 3, ...}
The set of natural numbers, the negative natural numbers, and…
A number that can be expressed as a/b, the ratio of two inter…
What are natural numbers?
A number from the set {1, 2, 3, ...}
What are whole numbers?
A number from the set {0, 1, 2, 3, ...}
5 terms
College algebra
Tangent
What does pi represent
The _______ of the slope determines th…
The sign of the slope determines the _…
A straight line that touches a curved line at one point
Circumference/Diameter
Sign
Direction
Tangent
A straight line that touches a curved line at one point
What does pi represent
Circumference/Diameter
COLLEGE ALGEBRA
Fraction
Types of fraction
Simplify: ax/ay
4x(cube)y(ten)/ 10x (squared) y (fourt…
It has a numerator and a denominator
1) proper fraction... 2) improperfraction
=x/y
= 2x/ 5y(fourth)
Fraction
It has a numerator and a denominator
Types of fraction
1) proper fraction... 2) improperfraction
13 terms
College Algebra Ch 1 & 2
V=1/3S(sq)H
PV=nRT
9, add, divide by
2, divide, h, subtract (the subtracted…
What is the formula for volume? (Use sq for squared)
Where: P is pressure V is volume n is the number of moles of…
To solve for "F" in formula: C=5/9(F-32), first multiply both…
To solve for B: A=1/2(B+b)h. First multiply both sides by __(…
V=1/3S(sq)H
What is the formula for volume? (Use sq for squared)
PV=nRT
Where: P is pressure V is volume n is the number of moles of…
43 terms
College Algebra Chapter 5
Arrow notation
Axis of symmetry
Coefficient
Constant of variation
a way to represent symbolically the local and end behavior of…
a vertical line drawn through the vertex of a parabola, that…
a nonzero real number multiplied by a variable raised to an e…
the non-zero value k that helps define the relationship betwe…
Arrow notation
a way to represent symbolically the local and end behavior of…
Axis of symmetry
a vertical line drawn through the vertex of a parabola, that…
8 terms
College Algebra
Set
Element
What does "k ∈ A" mean?
What does "k ∉ A" mean?
A set is defined as a collection of objects.
Each individual item belonging to a set is called an element…
It means that "k" is an element of set "A".
It means that "k" is not an element of set "A".
Set
A set is defined as a collection of objects.
Element
Each individual item belonging to a set is called an element…
41 terms
College Algebra
If the domain of the function f is not…
In calculus, one of the basic definiti…
It is used to determine whether the gr…
The values for which f(x)=0
Implied Domain
Difference Quotient
Vertical Line Test
zeros
If the domain of the function f is not…
Implied Domain
In calculus, one of the basic definiti…
Difference Quotient
college algebra
solution
discriminant, negative
second-degree
intercepts
an admissible value for the variable that makes the equation…
the quantity b2-4ac is called the what of a quadratic equatio…
a quadratic equation is sometimes called a what equation
the points if any at which a graph crosses or touches the coo…
solution
an admissible value for the variable that makes the equation…
discriminant, negative
the quantity b2-4ac is called the what of a quadratic equatio…
31 terms
College Algebra Quiz 4
i=
i^2=
i is a...
a complex number is in the form a+ib w…
⎷-1
-1
complex number
a= real part... b= imaginary part
i=
⎷-1
i^2=
-1
2 of 10