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Study sets matching "college algebra"

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, ...}
9 terms
College Algebra
Distance formula
Midpoint formula
Circle equation
Ellipse eqiafikn
Square root (x1-x2)+(y1-y2)
(X1+x2/2),(y1+y2/2)
(X-h)^2+(y-k)^2=r^2
X^2/a^2+y^2/b^2
Distance formula
Square root (x1-x2)+(y1-y2)
Midpoint formula
(X1+x2/2),(y1+y2/2)
8 terms
College Algebra
B^2-4ac>0
X>0
X<0
AUB
Determinant
Two real solutions
Two imaginary solutions
Intersection
B^2-4ac>0
Determinant
X>0
Two real solutions
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
8 terms
College Algebra
Point-slope formula
Slope
Velocity
Exponential growth formula
Y-y1=m(x-x1)
M=(y2-y1)/(x2-x1)
S=-16t^2+Vot+So
A=Pe^rt
Point-slope formula
Y-y1=m(x-x1)
Slope
M=(y2-y1)/(x2-x1)
8 terms
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
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?
17 terms
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
48 terms
College Algebra: Chapter 4 Review
y=x/4 +3
y= (9x-8) / (7-x)
125
4√2
Find the inverse of y=4x-12
Find the inverse of y=(7x+8) / (x+9)
f(n)=(1/5)ⁿ Find f(-3)
f(n)=2ⁿ Find f(5/2)
y=x/4 +3
Find the inverse of y=4x-12
y= (9x-8) / (7-x)
Find the inverse of y=(7x+8) / (x+9)
20 terms
College Algebra Chapter 8
Angle of rotation
Center of hyperbola
Center of a ellipse
Conic section
an acute angle formed by a set of axes rotated from the Carte…
the midpoint of both the transverse and conjugate axes of a h…
the midpoint of both the major and minor axes
any shape resulting from the intersection of a right circular…
Angle of rotation
an acute angle formed by a set of axes rotated from the Carte…
Center of hyperbola
the midpoint of both the transverse and conjugate axes of a h…
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
35 terms
College Algebra Chapter 3
Absolute maximum
Absolute minimum
Average rate of change
Composite function
the greatest value of a function over an interval
the lowest value of a function over an interval
the difference in the output values of a function found for t…
the new function formed by function composition, when the out…
Absolute maximum
the greatest value of a function over an interval
Absolute minimum
the lowest value of a function over an interval
17 terms
College Algebra
Distributive Propety
Identity
Real
Imaginary
The Fact the 2(x+5)=2x+10
An equation that is satisfied for every value of the variable…
In the complex number , the number 2 is called the
In the complex number 2 + 3i the number 3 is called the
Distributive Propety
The Fact the 2(x+5)=2x+10
Identity
An equation that is satisfied for every value of the variable…
34 terms
College Algebra Chapter 7
Addition method
Augmented matrix
Break-even point
Coefficient matrix
an algebraic technique used to solve systems of linear equati…
a coefficient matrix adjoined with the constant column separa…
the point at which a cost function intersects a revenue funct…
a matrix that contains only the coefficients from a system of…
Addition method
an algebraic technique used to solve systems of linear equati…
Augmented matrix
a coefficient matrix adjoined with the constant column separa…
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
8 terms
College algebra
Natural numbers
Whole numbers
Rational numbers
Irrational numbers
N(o zero) postivie ; 1,2,3 etc..
wh0le numbers. ... 0,1,2,3 etc..
Ratio 1:2 = 1/2... Next biggest group
Crazy, never stops, numbers that don't make sense.
Natural numbers
N(o zero) postivie ; 1,2,3 etc..
Whole numbers
wh0le numbers. ... 0,1,2,3 etc..
9 terms
College Algebra
Difference Equation
Distance Equation
Natural Numbers
Whole Numbers
f(x+h)-f(x)/2
Either √(x1-x2)² +(y1-y2)² or the right triangle
1, 2, 3, 4, etch
0, 1, 2, 3, etc
Difference Equation
f(x+h)-f(x)/2
Distance Equation
Either √(x1-x2)² +(y1-y2)² or the right triangle
12 terms
College Algebra
Distance of a line
Standard form of a line
Slope Intercept Form
Point Slope Form
D= square root of
Ax+By=C
Y=mx+b
Y-y1=m(X+x1)
Distance of a line
D= square root of
Standard form of a line
Ax+By=C
21 terms
College algebra
The equation of a circle.
Graphing a line
Domain
Range
(x-h)^2+(y-k)^2=r^2 ex: center (2,3), radius: 5/3 equels (x-2…
Find the x intercept (6,0) and the y intercept (0,-2) and the…
The width of a parabola from one number to another. EX (-infi…
The height of a graph from one number to another.
The equation of a circle.
(x-h)^2+(y-k)^2=r^2 ex: center (2,3), radius: 5/3 equels (x-2…
Graphing a line
Find the x intercept (6,0) and the y intercept (0,-2) and the…
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
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…
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
9 terms
College Algebra
Point-slope
Slope intercept
standard form
standard form slope
y-y1=m(x-x1)
y=mx+b
Ax + By = C
-A/B
Point-slope
y-y1=m(x-x1)
Slope intercept
y=mx+b
24 terms
College Algebra
Law of Closure for Addition
Not a Closed set
Statement or Proposition
Universal Statements (if true)
If a+b are natural #'s then a+b is natural #
Find counter example... (infinite amt of numbers cant prove -->…
A statement that is true or false (but not both)
(start w/ all of every)... if and only if when we substitute in…
Law of Closure for Addition
If a+b are natural #'s then a+b is natural #
Not a Closed set
Find counter example... (infinite amt of numbers cant prove -->…
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
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
10 terms
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…
9 terms
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
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
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…
19 terms
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)
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
24 terms
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
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
64 terms
College Algebra
Distance Formula
Midpoint Formula
X-intercepts
Y-intercepts
d(P,Q)=√[(x₂−x₁)²+(y₂−y₁)²]... P (x₁,y₁) Q (x₂,y₂)
M(x,y)=[(x₁+x₂)/2, (y₁+y₂)/2]... P(x₁,y₁) Q(x₂,y₂)
where graph touches x-axis or crosses... set y=0 and solve for x
where graph touches y-axis or crosses... set x=0 and solve for y
Distance Formula
d(P,Q)=√[(x₂−x₁)²+(y₂−y₁)²]... P (x₁,y₁) Q (x₂,y₂)
Midpoint Formula
M(x,y)=[(x₁+x₂)/2, (y₁+y₂)/2]... P(x₁,y₁) Q(x₂,y₂)
9 terms
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
25 terms
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
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
17 terms
College Algebra Final
All Exponent Rules
All Radical Rules
Difference of squares
Rational Expressions
add if around paranthesis
Power from the top, Root from the bottom
a^3+b^3=(a+b)(a^2-ab+b^2)... a^3-b^3+(a-b)(a^2+ab+b^2)
Factor first, then cancel
All Exponent Rules
add if around paranthesis
All Radical Rules
Power from the top, Root from the bottom
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...
37 terms
college algebra unit 2
standard form of a quadratic function
general form of a quadratic function
definition of a polynomial function
Leading coefficient
-The leading coefficient is the number associated to the vari…
standard form of a quadratic function
general form of a quadratic function
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.
15 terms
College Algebra Chapter 4
Correlation coefficient
Decreasing linear function
Extrapolation
Horizontal line
a value, r, between -1 and 1 that indicates the degree of lin…
a function with a negative slope: If f (x) = mx + b, then m <…
predicting a value outside the domain and range of the data
a line defined by f (x) = b, where b is a real number. The sl…
Correlation coefficient
a value, r, between -1 and 1 that indicates the degree of lin…
Decreasing linear function
a function with a negative slope: If f (x) = mx + b, then m <…
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
44 terms
College Algebra Chapter 2
Absolute value equation
Area
Cartesian coordinate system
Completing the square
an equation in which the variable appears in absolute value b…
in square units, the area formula used in this section is use…
a grid system designed with perpendicular axes invented by Re…
a process for solving quadratic equations in which terms are…
Absolute value equation
an equation in which the variable appears in absolute value b…
Area
in square units, the area formula used in this section is use…
44 terms
College Algebra Chapter 2
An equation is a function if...
Definition of a function
Vertical Line Test
Even Function
each x-value has only one y-value
a correspondence from a first set, called the domain, to a se…
if any vertical line intersects a graph in more than one poin…
f(-x) = f(x), reflected over y-axis
An equation is a function if...
each x-value has only one y-value
Definition of a function
a correspondence from a first set, called the domain, to a se…
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
11 terms
College Algebra
Rashau made a rectangular frame for he…
It has been shown that the force of gr…
The first angle of a triangle is 10 de…
Kate has a summer job as a swim instru…
Width = 11 cm... Length = 37 cm... If L = 28 cm then ... W = 10 cm,…
The object would weigh 550 lb on Jupiter
x-10 = the first angle... x = the second angle... 2x = the third an…
To earn at least $72 per week, Kate will need 4 hours of over…
Rashau made a rectangular frame for he…
Width = 11 cm... Length = 37 cm... If L = 28 cm then ... W = 10 cm,…
It has been shown that the force of gr…
The object would weigh 550 lb on Jupiter
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